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Appendix C Answers to Exercises

I Linear Equations and Lines
1 Variables, Expressions, Equations, and Inequalities
1.1 Variables and Evaluating Expressions
1.1.6 Exercises

Skills Practice

1.1.6.1.
1.1.6.1.a
Answer 1.
d, D, x, or y
Answer 2.
feet
1.1.6.1.b
Answer 1.
w, W, x, or y
Answer 2.
pounds
1.1.6.3.
Answer.
5
1.1.6.5.
Answer.
4
1.1.6.7.
Answer.
1
1.1.6.9.
Answer.
−9
1.1.6.11.
Answer.
11
1.1.6.13.
Answer.
66
1.1.6.15.
Answer.
−34
1.1.6.17.
1.1.6.17.a
Answer.
16
1.1.6.17.b
Answer.
81
1.1.6.19.
1.1.6.19.a
Answer.
−36
1.1.6.19.b
Answer.
−64
1.1.6.21.
1.1.6.21.a
Answer.
729
1.1.6.21.b
Answer.
−216
1.1.6.23.
1.1.6.23.a
Answer.
324
1.1.6.23.b
Answer.
108
1.1.6.25.
Answer.
60
1.1.6.27.
Answer.
33
1.1.6.29.
Answer.
412
1.1.6.31.
Answer.
3
1.1.6.33.
Answer.
−4
1.1.6.35.
Answer.
−3
1.1.6.37.
Answer.
−90
1.1.6.39.
Answer.
−130
1.1.6.41.
Answer.
81
1.1.6.43.
Answer.
5832
1.1.6.45.
Answer.
15
1.1.6.47.
Answer.
−65
1.1.6.49.
Answer.
17
1.1.6.51.
Answer.
−75
1.1.6.53.
Answer.
−4
1.1.6.55.
Answer.
10

Applications

1.1.6.57.
Answer.
280 degK
1.1.6.59.
Answer.
174 years
1.1.6.61.
Answer.
204 mi
1.1.6.63.
Answer.
75600 seconds
1.1.6.65.
Answer.
37.4 degF
1.1.6.67.
Answer.
111 bpm
1.1.6.69.
Answer.
30.3%
1.1.6.71.
Answer.
99 ft
1.1.6.73.
Answer.
129.766 feet
1.1.6.75.
Answer.
3.42208 seconds
1.1.6.77.
Answer.
32.2%
1.1.6.79.
Answer.
26
1.1.6.81.
1.1.6.81.a
Answer.
4.4 ft
1.1.6.81.b
Answer.
5.2 ft
1.1.6.83.
Answer.
60x
1.1.6.85.
Answer.
1.8x
1.1.6.87.
Answer.
n+5
1.1.6.89.
Answer.
360+125n

1.2 Combining Like Terms
1.2.5 Exercises

Prerequisite/Review Skills

1.2.5.1.
Answer.
2217
1.2.5.3.
Answer.
417
1.2.5.5.
Answer.
118
1.2.5.7.
Answer.
16
1.2.5.9.
Answer.
8111
1.2.5.11.
Answer.
310
1.2.5.13.
Answer.
83182
1.2.5.15.
Answer.
112
1.2.5.17.
Answer.
6163
1.2.5.19.
Answer.
1340
1.2.5.21.
Answer.
23
1.2.5.23.
Answer.
13
1.2.5.25.
Answer.
7960
1.2.5.27.
Answer.
5863
1.2.5.29.
Answer.
47126
1.2.5.31.
Answer.
235

Skills Practice

1.2.5.33.
Answer.
−12u,t,2.7D,18b
1.2.5.35.
Answer.
310J,−13k,49J
1.2.5.37.
Answer.
110,77x5,−x9
1.2.5.39.
Answer.
5.5y8,−y9,y9
1.2.5.41.
Answer.
18.2K
1.2.5.43.
Answer.
65X
1.2.5.45.
Answer.
8.1i−l
1.2.5.47.
Answer.
−10u+4u3+83u4
1.2.5.49.
Answer.
−316F+12R
1.2.5.51.
Answer.
34R+6.8g
1.2.5.53.
Answer.
4936c2−2c5
1.2.5.55.
Answer.
0.6n4+14.9n6
1.2.5.57.
Answer.
−9z
1.2.5.59.
Answer.
−3.9K
1.2.5.61.
Answer.
113W+2910H
1.2.5.63.
Answer.
−6.3h+10.5Y
1.2.5.65.
Answer.
−71.2t2+1.3t6
1.2.5.67.
Answer.
8821E3+25E5

Applications

1.2.5.69.
Answer.
5312Q+94U
1.2.5.71.
Answer.
6.9c+81.3k
1.2.5.73.
Answer.
378n+196z+2c
1.2.5.75. Office Lunch.
1.2.5.75.a
Answer.
14S+8B
1.2.5.75.b
Answer.
27S+18B
1.2.5.77. Sportsball.
1.2.5.77.a
Answer.
19P+36L+44S
1.2.5.77.b
Answer.
25P+60L+81S

1.3 Comparison Symbols and Notation for Intervals
1.3.4 Exercises

Prerequisite/Review Skills

1.3.4.1.
Answer.
2.2
1.3.4.3.
Answer.
7.25
1.3.4.5.
Answer.
4.875
1.3.4.7.
Answer.
0.05
1.3.4.9.
Answer.
3.33333
1.3.4.11.
Answer.
5.83333
1.3.4.13.
Answer.
1.54545
1.3.4.15.
Answer.
4.58333

Skills Practice

1.3.4.17.
Answer.
False
1.3.4.19.
Answer.
False
1.3.4.21.
Answer.
False
1.3.4.23.
Answer.
True
1.3.4.25.
Answer.
True
1.3.4.27.
Answer.
<
1.3.4.29.
Answer.
>
1.3.4.31.
Answer.
<
1.3.4.33.
Answer.
=
1.3.4.35.
Answer.
<
1.3.4.37.
Answer.
9>6>0>−3>−6
1.3.4.39.
Answer.
8.9>1.8>−0.7>−4.9>−5.8
1.3.4.41.
Answer.
107>118>76>12>29
1.3.4.43.
Answer.
813>0.3>3>π4>5
1.3.4.45.
Answer 1.
{x∣x<−4}
Answer 2.
(−∞,−4)
1.3.4.47.
Answer 1.
{x∣x≤−1}
Answer 2.
(−∞,−1]
1.3.4.49.
Answer 1.
{x∣x≥3}
Answer 2.
[3,∞)
1.3.4.51.
Answer 1.
{x∣x>6}
Answer 2.
(6,∞)
1.3.4.53.
Answer 1.
{interval,[−6,∞)}
Answer 2.
[−6,∞)
1.3.4.55.
Answer 1.
{interval,(−∞,−2)}
Answer 2.
(−∞,−2)
1.3.4.57.
Answer 1.
{interval,(−∞,1]}
Answer 2.
(−∞,1]
1.3.4.59.
Answer 1.
{interval,(4,∞)}
Answer 2.
(4,∞)
1.3.4.61.
Answer 1.
{interval,[−7,∞)}
Answer 2.
{x∣x≥−7}
1.3.4.63.
Answer 1.
{interval,(−4,∞)}
Answer 2.
{x∣x>−4}
1.3.4.65.
Answer 1.
{interval,(−∞,−1)}
Answer 2.
{x∣x<−1}
1.3.4.67.
Answer 1.
{interval,(−∞,3]}
Answer 2.
{x∣x≤3}

Applications

1.3.4.69.
Answer 1.
{a∣a≥21}
Answer 2.
[21,∞)
1.3.4.71.
Answer 1.
{d∣d≥5000}
Answer 2.
[5000,∞)
1.3.4.73.
Answer 1.
{pH∣pH<7}
Answer 2.
(−∞,7)

Challenge

1.3.4.75.
Answer 1.
<
Answer 2.
>
Answer 3.
<
Answer 4.
>

1.4 Equations, Inequalities, and Solutions
1.4.6 Exercises

Prerequisite/Review Skills

1.4.6.1.
Answer.
0
1.4.6.3.
Answer.
29
1.4.6.5.
Answer.
45
1.4.6.7.
Answer.
67

Skills Practice

1.4.6.9.
Answer 1.
6
Answer 2.
Yes, it is a solution.
1.4.6.11.
Answer 1.
−57.4
Answer 2.
No, it is not a solution.
1.4.6.13.
Answer 1.
143
Answer 2.
Yes, it is a solution.
1.4.6.15.
Answer 1.
−2
Answer 2.
3
Answer 3.
No, it is not a solution.
1.4.6.17.
Answer 1.
235
Answer 2.
18940
Answer 3.
No, it is not a solution.
1.4.6.19.
Answer 1.
0
Answer 2.
No, it is not a solution.
1.4.6.21.
Answer 1.
42
Answer 2.
42
Answer 3.
Yes, it is a solution.
1.4.6.23.
Answer 1.
0
Answer 2.
Yes, it is a solution.
1.4.6.25.
Answer 1.
3
Answer 2.
6
Answer 3.
No, it is not a solution.
1.4.6.27.
Answer 1.
8
Answer 2.
8
Answer 3.
Yes, it is a solution.
1.4.6.29.
Answer 1.
32
Answer 2.
No, it is not a solution.
1.4.6.31.
Answer 1.
6
Answer 2.
14
Answer 3.
No, it is not a solution.
1.4.6.33.
Answer 1.
25756
Answer 2.
25756
Answer 3.
Yes, it is a solution.
1.4.6.35.
Answer 1.
18
Answer 2.
No, it is not a solution.
1.4.6.37.
Answer 1.
68.1
Answer 2.
Yes, it is a solution.
1.4.6.39.
Answer 1.
11645
Answer 2.
No, it is not a solution.
1.4.6.41.
Answer 1.
−18
Answer 2.
−18
Answer 3.
Yes, it is a solution.
1.4.6.43.
Answer 1.
383
Answer 2.
383
Answer 3.
Yes, it is a solution.
1.4.6.45.
Answer 1.
8
Answer 2.
Yes, it is a solution.
1.4.6.47.
Answer 1.
5
Answer 2.
5
Answer 3.
Yes, it is a solution.
1.4.6.49.
Answer 1.
0
Answer 2.
Yes, it is a solution.
1.4.6.51.
Answer 1.
6
Answer 2.
6
Answer 3.
No, it is not a solution.
1.4.6.53.
Answer 1.
8
Answer 2.
8
Answer 3.
No, it is not a solution.
1.4.6.55.
Answer 1.
15
Answer 2.
No, it is not a solution.
1.4.6.57.
Answer 1.
8.7
Answer 2.
8.7
Answer 3.
No, it is not a solution.
1.4.6.59.
Answer 1.
113
Answer 2.
113
Answer 3.
Yes, it is a solution.
1.4.6.61.
Answer.
Choice 2, Choice 4, Choice 5
1.4.6.63.
Answer.
Choice 2, Choice 6
1.4.6.65.
Answer.
Choice 4, Choice 6

Applications

1.4.6.67.
Answer 1.
55.56
Answer 2.
Yes, it is a solution.
1.4.6.69.
Answer 1.
696
Answer 2.
Yes, it is a solution.
1.4.6.71.
Answer 1.
22
Answer 2.
Yes, it is a solution.
1.4.6.73.
Answer 1.
1225
Answer 2.
1225
Answer 3.
Yes, it is a solution.
1.4.6.75.
Answer 1.
1294π
Answer 2.
Yes, it is a solution.

1.5 Solving One-Step Equations
1.5.6 Exercises

Review and Warmup

1.5.6.1.
Answer.
1081
1.5.6.3.
Answer.
3281
1.5.6.5.
Answer.
632
1.5.6.7.
Answer.
327
1.5.6.9.
Answer.
2319
1.5.6.11.
Answer.
13
1.5.6.13.
Answer.
3112
1.5.6.15.
Answer.
295234
1.5.6.17.
Answer.
6988
1.5.6.19.
Answer.
5536
1.5.6.21.
Answer.
563

Skills Practice

1.5.6.23.
Answer.
{−17}
1.5.6.25.
Answer.
{18}
1.5.6.27.
Answer.
{−9}
1.5.6.29.
Answer.
{168}
1.5.6.31.
Answer.
{−4}
1.5.6.33.
Answer.
{1011}
1.5.6.35.
Answer.
{−3}
1.5.6.37.
Answer.
{162}
1.5.6.39.
Answer.
{3112}
1.5.6.41.
Answer.
{−5928}
1.5.6.43.
Answer.
{316}
1.5.6.45.
Answer.
{−214}
1.5.6.47.
Answer.
{47}
1.5.6.49.
Answer.
{−3635}
1.5.6.51.
Answer.
{−18.1}
1.5.6.53.
Answer.
{−21.57}
1.5.6.55.
Answer.
{23.03}
1.5.6.57.
Answer.
{−28.08}
1.5.6.59.
Answer.
{−0.652174}

Applications

1.5.6.61.
Answer 1.
74=C+273
Answer 2.
−199 degC
1.5.6.63.
Answer 1.
8.625+N=17.5
Answer 2.
8.875 in
1.5.6.65.
Answer 1.
s⋅0.8=7
Answer 2.
$8.75
1.5.6.67.
Answer 1.
10π=πd
Answer 2.
10 cm
1.5.6.69.
Answer 1.
−449.44+5.3v+6=0
Answer 2.
83.6679 (ft(s

Challenge

1.5.6.71.
Answer.
x+1=6

1.6 Solving One-Step Inequalities
1.6.4 Exercises

Skills Practice

1.6.4.1.
Answer 1.
{interval,(−∞,−2]}
Answer 2.
(−∞,−2]
Answer 3.
{u∣u≤−2}
1.6.4.3.
Answer 1.
{interval,(−∞,2)}
Answer 2.
(−∞,2)
Answer 3.
{E∣E<2}
1.6.4.5.
Answer 1.
{interval,(5,∞)}
Answer 2.
(5,∞)
Answer 3.
{Q∣Q>5}
1.6.4.7.
Answer 1.
{interval,[−4,∞)}
Answer 2.
[−4,∞)
Answer 3.
{c∣c≥−4}
1.6.4.9.
Answer 1.
{interval,(−∞,−8)}
Answer 2.
(−∞,−8)
Answer 3.
{n∣n<−8}
1.6.4.11.
Answer 1.
{interval,(12,∞)}
Answer 2.
(12,∞)
Answer 3.
{z∣z>12}
1.6.4.13.
Answer 1.
{interval,(−∞,−5)}
Answer 2.
(−∞,−5)
Answer 3.
{K∣K<−5}
1.6.4.15.
Answer 1.
{interval,(1,∞)}
Answer 2.
(1,∞)
Answer 3.
{X∣X>−(−1)}
1.6.4.17.
Answer 1.
{interval,(−∞,4)}
Answer 2.
(−∞,4)
Answer 3.
{h∣h<4}
1.6.4.19.
Answer 1.
{interval,[−6,∞)}
Answer 2.
[−6,∞)
Answer 3.
{t∣t≥−6}

1.7 Algebraic Properties and Simplifying Expressions
1.7.6 Exercises

Vocabulary

1.7.6.1.
Answer.
9
1.7.6.3.
Answer.
−15
1.7.6.5.
Answer.
0.4
1.7.6.7.
Answer.
87
1.7.6.9.
Answer.
−32
1.7.6.11.
Answer.
0

Skills Practice

1.7.6.13.
Answer.
P+(21+t)
1.7.6.15.
Answer.
(E+E2)+17
1.7.6.17.
Answer.
18(Qu)
1.7.6.19.
Answer.
K+b
1.7.6.21.
Answer.
a+58m
1.7.6.23.
Answer.
qy+t
1.7.6.25.
Answer.
(J+3)⋅7
1.7.6.27.
Answer.
10(2+W)
1.7.6.29.
Answer.
4h+4⋅9
1.7.6.31.
Answer.
6t−6⋅8
1.7.6.33.
Answer.
95D+9572
1.7.6.35.
Answer.
−P−(35)
1.7.6.37.
Answer.
13x
1.7.6.39.
Answer.
59x
1.7.6.41.
Answer.
17y+21
1.7.6.43.
Answer.
23J+6
1.7.6.45.
Answer.
35W+52
1.7.6.47.
Answer.
36g+(−21)
1.7.6.49.
Answer.
42s+73
1.7.6.51.
Answer.
−23D+38
1.7.6.53.
Answer.
60P+39
1.7.6.55.
Answer.
17b+22
1.7.6.57.
Answer.
1463B+−565
1.7.6.59.
Answer.
26.06y+(−54.62)

Critical Thinking

1.7.6.61.
1.7.6.61.a
Answer.
(I+f)+l
1.7.6.61.b
Answer.
I+(f+l)

1.8 Modeling with Equations and Inequalities
1.8.6 Exercises

Review and Warmup

1.8.6.1.
1.8.6.1.a
Answer 1.
a, A, x, y, or z
Answer 2.
ft^2 or m^2
1.8.6.1.b
Answer 1.
a, A, x, y, or z
Answer 2.
years or months
1.8.6.1.c
Answer 1.
t, T, x, y, or z
Answer 2.
hours or minutes

Skills Practice

1.8.6.3.
Answer.
x+8
1.8.6.5.
Answer.
1+x
1.8.6.7.
Answer.
x−3
1.8.6.9.
Answer.
5−x
1.8.6.11.
Answer.
11x+14
1.8.6.13.
Answer.
14(x+4)
1.8.6.15.
Answer.
8x−3
1.8.6.17.
Answer.
x12−6
1.8.6.19.
Answer.
94x
1.8.6.21.
Answer.
x−1213x
1.8.6.23.
Answer.
11x+2
1.8.6.25.
Answer.
x−20=50
1.8.6.27.
Answer.
x8=5
1.8.6.29.
Answer.
x−38=34
1.8.6.31.
Answer.
x14=13
1.8.6.33.
Answer.
14x−3=5
1.8.6.35.
Answer.
6(x+9)=12
1.8.6.37.
Answer.
9x=2x−13

Applications

1.8.6.39.
Answer.
510t=360
1.8.6.41.
Answer.
100+56t=282
1.8.6.43.
Answer.
6+0.25t=10
1.8.6.45.
Answer.
389.5+4.12t=780
1.8.6.47.
Answer.
57+28t=212
1.8.6.49.
Answer.
425−27t=250
1.8.6.51.
Answer.
100−7t=30
1.8.6.53.
Answer.
90+13n=350
1.8.6.55.
Answer.
S+0.024S=57999
1.8.6.57.
Answer.
p+0.067p=472
1.8.6.59.
Answer.
p−0.2p=332
1.8.6.61.
Answer.
b+0.18b=73.2
1.8.6.63.
Answer.
r+0.025r=1360
1.8.6.65.
Answer.
80+8.3454V≤1900
1.8.6.67.
Answer.
7.8−0.5t≥0.5
1.8.6.69.
Answer.
S+0.029S<71385
1.8.6.71.
Answer.
b+0.2b≤79.65

Challenge

1.8.6.73.
Answer.
$10.62

1.9 Variables, Expressions, and Equations Chapter Review

Review Exercises for Chapter 1

Section 1: Variables and Evaluating Expressions
1.9.1.
1.9.1.a
Answer 1.
t, T, x, or y
Answer 2.
hours or minutes
1.9.1.b
Answer 1.
a, A, s, S, x, or y
Answer 2.
ft^2 or m^2
1.9.3.
Answer.
−13
1.9.5.
1.9.5.a
Answer.
512
1.9.5.b
Answer.
−216
1.9.7.
Answer.
−5
1.9.9.
Answer.
−1
1.9.11.
Answer.
291 mi
1.9.13.
Answer.
70 feet
1.9.15.
Answer.
5280x
1.9.17.
Answer.
140+40n
Section 2: Combining Like Terms
1.9.19.
Answer.
73e
1.9.21.
Answer.
−327q
1.9.23.
Answer.
2930B+43A
1.9.25.
1.9.25.a
Answer.
24p+19c
1.9.25.b
Answer.
40p+39c
Section 3: Comparison Symbols and Notation for Intervals
1.9.27.
Answer.
False
1.9.29.
Answer.
<
1.9.31.
Answer.
9.5>4.2>3.6>−4>−4.1
1.9.33.
Answer 1.
{x∣x>2}
Answer 2.
(2,∞)
1.9.35.
Answer 1.
{interval,(−∞,5)}
Answer 2.
{x∣x<5}
1.9.37.
Answer 1.
{pH∣pH<7}
Answer 2.
(−∞,7)
Section 4: Equations, Inequalities, and Solutions
1.9.39.
Answer 1.
−58
Answer 2.
−52
Answer 3.
No, it is not a solution.
1.9.41.
Answer 1.
48
Answer 2.
No, it is not a solution.
1.9.43.
Answer 1.
112
Answer 2.
132
Answer 3.
No, it is not a solution.
1.9.45.
Answer 1.
51
Answer 2.
Yes, it is a solution.
1.9.47.
Answer 1.
730
Answer 2.
Yes, it is a solution.
1.9.49.
Answer 1.
49.8087
Answer 2.
No, it is not a solution.
Section 5: Solving One-Step Equations
1.9.51.
Answer.
{−12}
1.9.53.
Answer.
{10.3}
1.9.55.
Answer 1.
6.25+N=17.5
Answer 2.
11.25 in
Section 6: Solving One-Step Inequalities
1.9.57.
Answer 1.
{interval,[4,∞)}
Answer 2.
[4,∞)
Answer 3.
{p∣p≥4}
Section 7: Algebraic Properties and Simplifying Expressions
1.9.59.
Answer.
0
1.9.61.
Answer.
(L+10)⋅4
1.9.63.
Answer.
−2221x
1.9.65.
Answer.
−2i+21
Section 8: Modeling with Equations and Inequalities
1.9.67.
Answer.
5+x
1.9.69.
Answer.
x−914x
1.9.71.
Answer.
3x−13=12
1.9.73.
Answer.
12−0.05d=1
1.9.75.
Answer.
425−24t=275
1.9.77.
Answer.
S+0.028S=66466
1.9.79.
Answer.
7.7−0.7t≥0.4

2 Linear Equations and Inequalities
2.1 Solving Multistep Linear Equations
2.1.6 Exercises

Review and Warmup

2.1.6.1.
Answer.
{−6}
2.1.6.3.
Answer.
{−17}
2.1.6.5.
Answer.
{27}

Vocabulary

2.1.6.7.
2.1.6.7.a
Answer.
solve
2.1.6.7.b
Answer.
simplified
2.1.6.7.c
Answer.
simplify
2.1.6.7.d
Answer.
evaluate

Skills Practice

2.1.6.9.
Answer.
{6}
2.1.6.11.
Answer.
{−7}
2.1.6.13.
Answer.
{−1}
2.1.6.15.
Answer.
{136}
2.1.6.17.
Answer.
{−59}
2.1.6.19.
Answer.
{−12}
2.1.6.21.
Answer.
{0.756757}
2.1.6.23.
Answer.
{0.366197}
2.1.6.25.
Answer.
{−0.6}
2.1.6.27.
Answer.
{2}
2.1.6.29.
Answer.
{7}
2.1.6.31.
Answer.
{−6}
2.1.6.33.
Answer.
{4}
2.1.6.35.
Answer.
{6}
2.1.6.37.
Answer.
{−8}
2.1.6.39.
Answer.
{−14}
2.1.6.41.
Answer.
{−32}
2.1.6.43.
Answer.
{6725}
2.1.6.45.
Answer.
{−2631}
2.1.6.47.
Answer.
{2}
2.1.6.49.
Answer.
{8}
2.1.6.51.
Answer.
{−254}

Applications

2.1.6.53.
Answer.
4.25862 hr
2.1.6.55.
Answer.
12 yr
2.1.6.57.
Answer.
58.913 weeks
2.1.6.59.
Answer.
6.16 min
2.1.6.61.
Answer.
7.14286 min
2.1.6.63.
Answer.
8.88889 days
2.1.6.65.
Answer.
23
2.1.6.67.
Answer.
$60,685.36
2.1.6.69.
Answer.
$462.11
2.1.6.71.
Answer.
$1,251.23

2.2 Solving Multistep Linear Inequalities
2.2.4 Exercises

Review and Warmup

2.2.4.1.
Answer 1.
{interval,(−3,∞)}
Answer 2.
(−3,∞)
Answer 3.
{D∣D>−3}
2.2.4.3.
Answer 1.
{interval,[8,∞)}
Answer 2.
[8,∞)
Answer 3.
{P∣P≥8}

Skills Practice

2.2.4.5.
Answer 1.
{interval,(−∞,5]}
Answer 2.
(−∞,5]
Answer 3.
{b∣b≤5}
2.2.4.7.
Answer 1.
{interval,(−∞,−4]}
Answer 2.
(−∞,−4]
Answer 3.
{m∣m≤−4}
2.2.4.9.
Answer 1.
{interval,[−1,∞)}
Answer 2.
[−1,∞)
Answer 3.
{y∣y≥−1}
2.2.4.11.
Answer 1.
{interval,[3,∞)}
Answer 2.
[3,∞)
Answer 3.
{J∣J≥3}
2.2.4.13.
Answer 1.
{interval,(−∞,−6]}
Answer 2.
(−∞,−6]
Answer 3.
{V∣V≤−6}
2.2.4.15.
Answer 1.
{interval,(−∞,−2)}
Answer 2.
(−∞,−2)
Answer 3.
{g∣g<−2}
2.2.4.17.
Answer 1.
{interval,[2,∞)}
Answer 2.
[2,∞)
Answer 3.
{s∣s≥2}
2.2.4.19.
Answer 1.
{interval,[6,∞)}
Answer 2.
[6,∞)
Answer 3.
{D∣D≥6}
2.2.4.21.
Answer 1.
{interval,(−∞,−3)}
Answer 2.
(−∞,−3)
Answer 3.
{P∣P<−3}
2.2.4.23.
Answer 1.
{interval,(−∞,1]}
Answer 2.
(−∞,1]
Answer 3.
{b∣b≤1}
2.2.4.25.
Answer 1.
{interval,[5,∞)}
Answer 2.
[5,∞)
Answer 3.
{l∣l≥5}
2.2.4.27.
Answer 1.
{interval,(−∞,−4]}
Answer 2.
(−∞,−4]
Answer 3.
{x∣x≤−4}
2.2.4.29.
Answer 1.
{interval,(−1,∞)}
Answer 2.
(−1,∞)
Answer 3.
{I∣I>−1}
2.2.4.31.
Answer 1.
{interval,(4,∞)}
Answer 2.
(4,∞)
Answer 3.
{V∣V>4}

Applications

2.2.4.33.
2.2.4.33.a
Answer.
15+2x≤43
2.2.4.33.b
Answer.
14 mi
2.2.4.33.c
Answer.
[0,14]
2.2.4.35.
2.2.4.35.a
Answer.
47+24x≥212
2.2.4.35.b
Answer.
6.875 min
2.2.4.35.c
Answer.
[6.875,∞)
2.2.4.37.
2.2.4.37.a
Answer.
x+0.08x<94485
2.2.4.37.b
Answer.
87486
2.2.4.37.c
Answer.
[10000,87486)

2.3 Equations and Inequalities with Fractions
2.3.5 Exercises

Review and Warmup

2.3.5.1.
Answer.
44
2.3.5.3.
Answer.
630
2.3.5.5.
Answer.
210

Skills Practice

2.3.5.7.
Answer 1.
3
Answer 2.
{13}
2.3.5.9.
Answer 1.
12
Answer 2.
{−12536}
2.3.5.11.
Answer 1.
5
Answer 2.
{17}
2.3.5.13.
Answer 1.
35
Answer 2.
{−29528}
2.3.5.15.
Answer 1.
100
Answer 2.
{−7654}
2.3.5.17.
Answer 1.
30
Answer 2.
{2}
2.3.5.19.
Answer 1.
4
Answer 2.
{2915}
2.3.5.21.
Answer 1.
21
Answer 2.
{−224165}
2.3.5.23.
Answer 1.
105
Answer 2.
{−831395}
2.3.5.25.
Answer 1.
60
Answer 2.
{32523}
2.3.5.27.
Answer 1.
11
Answer 2.
{x∣x≤2911}
Answer 3.
(−∞,2911]
2.3.5.29.
Answer 1.
5
Answer 2.
{x∣x≥−5211}
Answer 3.
[−5211,∞)
2.3.5.31.
Answer 1.
60
Answer 2.
{x∣x>−28435}
Answer 3.
(−28435,∞)
2.3.5.33.
Answer 1.
10
Answer 2.
{x∣x<115}
Answer 3.
(−∞,115)
2.3.5.35.
Answer 1.
36
Answer 2.
{x∣x≤57194}
Answer 3.
(−∞,57194]

Applications

2.3.5.37.
Answer.
15.2903 s
2.3.5.39.
Answer.
12 yr
2.3.5.41.
Answer.
82.5
2.3.5.43.
Answer.
50 g
2.3.5.45.
Answer.
$86.13
2.3.5.47.
Answer.
129

Challenge

2.3.5.49.
Answer.
24

2.4 Special Solution Sets
2.4.4 Exercises

Notation

2.4.4.1.
Answer.
no real solutions

Skills Practice

2.4.4.3.
Answer.
no real solutions
2.4.4.5.
Answer.
(−∞,∞) or infinitely many solutions
2.4.4.7.
Answer.
(−∞,∞) or infinitely many solutions
2.4.4.9.
Answer.
no real solutions
2.4.4.11.
Answer.
no real solutions
2.4.4.13.
Answer.
no real solutions
2.4.4.15.
Answer.
no real solutions
2.4.4.17.
Answer.
no real solutions
2.4.4.19.
Answer.
(−∞,∞) or infinitely many solutions
2.4.4.21.
Answer.
no real solutions
2.4.4.23.
Answer.
no real solutions
2.4.4.25.
Answer.
(−∞,∞) or infinitely many solutions
2.4.4.27.
Answer.
no real solutions
2.4.4.29.
Answer.
no real solutions
2.4.4.31.
Answer.
no real solutions
2.4.4.33.
Answer.
no real solutions
2.4.4.35.
Answer.
(−∞,∞) or infinitely many solutions
2.4.4.37.
Answer.
no real solutions
2.4.4.39.
Answer.
no real solutions

Challenge

2.4.4.41.
Answer 1.
9x+42
Answer 2.
10(x+4)

2.5 Isolating a Linear Variable
2.5.3 Exercises

Skills Practice

2.5.3.1.
2.5.3.1.a
Answer.
{1}
2.5.3.1.b
Answer.
G=x−X
2.5.3.3.
2.5.3.3.a
Answer.
{12}
2.5.3.3.b
Answer.
S=q+m
2.5.3.5.
2.5.3.5.a
Answer.
{97}
2.5.3.5.b
Answer.
e=hD
2.5.3.7.
2.5.3.7.a
Answer.
{24}
2.5.3.7.b
Answer.
q=YS
2.5.3.9.
2.5.3.9.a
Answer.
{12}
2.5.3.9.b
Answer.
B=D−Qi
2.5.3.11.
Answer.
L=G−y
2.5.3.13.
Answer.
Y=w−xM
2.5.3.15.
Answer.
x=y−qe
2.5.3.17.
Answer.
u=s(r−g)

Applications

2.5.3.19.
Answer.
b=2Ah
2.5.3.21.
Answer.
m=y−bx
2.5.3.23.
Answer.
r=c2π
2.5.3.25.
Answer.
h=Vπr2
2.5.3.27.
Answer.
y=4x+4
2.5.3.29.
Answer.
y=−37x+3
2.5.3.31.
Answer.
y=x+29
2.5.3.33.
Answer.
y=−73x+1733

2.6 Linear Equations and Inequalities Chapter Review

Review Exercises for Chapter 2

Section 1: Solving Multistep Linear Equations
2.6.1.
2.6.1.a
Answer.
simplified
2.6.1.b
Answer.
evaluate
2.6.1.c
Answer.
solve
2.6.1.d
Answer.
simplify
2.6.3.
Answer.
{−0.0697674}
2.6.5.
Answer.
{1}
2.6.7.
Answer.
{−67}
2.6.9.
Answer.
7211 yr
2.6.11.
Answer.
2.81818 hr
2.6.13.
Answer.
$458.17
Section 2: Solving Multistep Linear Inequalities
2.6.15.
Answer 1.
{interval,(−∞,−6)}
Answer 2.
(−∞,−6)
Answer 3.
{F∣F<−6}
2.6.17.
Answer 1.
{interval,(−∞,−2]}
Answer 2.
(−∞,−2]
Answer 3.
{R∣R≤−2}
2.6.19.
Answer 1.
{interval,[2,∞)}
Answer 2.
[2,∞)
Answer 3.
{d∣d≥2}
2.6.21.
2.6.21.a
Answer.
15+4x≤95
2.6.21.b
Answer.
20 mi
2.6.21.c
Answer.
[0,20]
Section 3: Equations and Inequalities with Fractions
2.6.23.
Answer 1.
7
Answer 2.
{−2749}
2.6.25.
Answer 1.
210
Answer 2.
{1}
2.6.27.
Answer 1.
7
Answer 2.
{x∣x≥−6184}
Answer 3.
[−6184,∞)
2.6.29.
Answer 1.
3
Answer 2.
{x∣x<3}
Answer 3.
(−∞,3)
2.6.31.
Answer.
725 yr
2.6.33.
Answer.
$94.62
Section 4: Special Solution Sets
2.6.35.
Answer.
no real solutions
2.6.37.
Answer.
no real solutions
2.6.39.
Answer.
(−∞,∞) or infinitely many solutions
2.6.41.
Answer.
(−∞,∞) or infinitely many solutions
Section 5: Isolating a Linear Variable
2.6.43.
Answer.
x=y−up
2.6.45.
Answer.
m=y−bx
2.6.47.
Answer.
y=8x−1

3 Graphing Lines
3.1 Cartesian Coordinates

Exercises

3.1.1.
Answer 1.
(1,2)
Answer 2.
(−1,−2)
Answer 3.
(0,4)
Answer 4.
(−3,0)
3.1.3.
Answer.
{point,(0,−1)},{point,(5,−3)},{point,(1,−8)},{point,(4,0)}
3.1.5.
Answer.
{point,(−5,0.666667)},{point,(−3.66667,−2)}
3.1.7.
Answer.
{point,(−2.75,−4.25)},{point,(0.75,2.25)}
3.1.9.
Answer.
{point,(149,108)},{point,(176,115)}
3.1.11.
Answer.
{fill,(1,1)},{fill,(−1,1)}
3.1.13.
Answer.
{fill,(1,1)},{fill,(−1,−1)}
3.1.15.
Answer 1.
(20,1)
Answer 2.
(20,1)
3.1.17.
Answer 1.
III
Answer 2.
IV
Answer 3.
I
Answer 4.
IV
3.1.19.
Answer 1.
III
Answer 2.
IV
Answer 3.
I
Answer 4.
IV

3.2 Graphing Equations

Exercises

Skills Practice
3.2.1.
Answer.
Choice 1, Choice 3
3.2.3.
Answer.
Choice 3, Choice 4
3.2.5.
Answer.
Choice 1, Choice 3
3.2.7.
Answer.
Choice 1, Choice 2
3.2.9.
Answer 1.
1;(−2,1);−1;(−1,−1);−3;(0,−3);−5;(1,−5);−7;(2,−7)
Answer 2.
{point,(−2,1)},{point,(−1,−1)},{point,(0,−3)},{point,(1,−5)},{point,(2,−7)},{line,solid,(−2,1),(−1,−1)}
3.2.11.
Answer 1.
7;(−6,7);3;(−3,3);−1;(0,−1);−5;(3,−5);−9;(6,−9)
Answer 2.
{point,(−6,7)},{point,(−3,3)},{point,(0,−1)},{point,(3,−5)},{point,(6,−9)},{line,solid,(−6,7),(−3,3)}
3.2.13.
Answer 1.
1;(−2,1);−4;(−1,−4);−7;(0,−7);−8;(1,−8);−7;(2,−7)
Answer 2.
{point,(−2,1)},{point,(−1,−4)},{point,(0,−7)},{point,(1,−8)},{point,(2,−7)},{quadratic,solid,(−2,1),(−1,−4),(0,−7)}
3.2.15.
Answer 1.
−2;(−2,−2);1;(−1,1);0;(0,0);1;(1,1);10;(2,10)
Answer 2.
{point,(−2,−2)},{point,(−1,1)},{point,(0,0)},{point,(1,1)},{point,(2,10)},{cubic,solid,(−2,−2),(−1,1),(0,0),(1,1)}
3.2.17.
Answer.
Choice 1, Choice 2, Choice 4
Applications
3.2.19.
Answer.
{line,solid,(0,900),(1,925)}
3.2.21.
Answer.
{line,solid,(40,100),(90,110)}

3.3 Exploring Two-Variable Data and Rate of Change
3.3.5 Exercises

Skills Practice

3.3.5.1.
Answer.
y=4x
3.3.5.3.
Answer.
y=x+4
3.3.5.5.
Answer.
y=x−3
3.3.5.7.
Answer.
y=x
3.3.5.9.
Answer.
y=x2
3.3.5.11.
Answer.
y=1x
3.3.5.13.
Answer.
913
3.3.5.15.
Answer.
9.125
3.3.5.17.
Answer.
15328
3.3.5.19.
Answer.
−1
3.3.5.21.
Answer.
−53
3.3.5.23.
Answer.
1635
3.3.5.25.
Answer.
43
3.3.5.27.
Answer.
76740
3.3.5.29.
Answer.
yes
3.3.5.31.
Answer.
yes
3.3.5.33.
Answer.
no
3.3.5.35.
Answer.
no
3.3.5.37.
Answer.
yes
3.3.5.39.
Answer.
yes

3.4 Slope
3.4.5 Exercises

Skills Practice

3.4.5.1.
Answer.
7
3.4.5.3.
Answer.
−1
3.4.5.5.
Answer.
13
3.4.5.7.
Answer.
−14
3.4.5.9.
Answer.
94
3.4.5.11.
Answer.
−3.24
3.4.5.13.
Answer.
0
3.4.5.15.
Answer.
501670
3.4.5.17.
Answer.
−2458
3.4.5.19.
Answer.
7
3.4.5.21.
Answer.
3
3.4.5.23.
Answer.
310
3.4.5.25.
Answer.
0
3.4.5.27.
Answer.
1
3.4.5.29.
Answer.
1.12046
3.4.5.31.
Answer.
125
3.4.5.33.
Answer.
1711
3.4.5.35.
Answer.
1.91935
3.4.5.37.
Answer.
{line,solid,(−3,−1),(0,3)}
3.4.5.39.
Answer.
{line,solid,(1,−2),(4,−4)}
3.4.5.41.
Answer.
{line,solid,(−8,−8),(−5,−7)},{line,solid,(−7,−8),(−4,−7)},{line,solid,(−6,−8),(−3,−7)},{line,solid,(−5,−8),(−2,−7)},{line,solid,(−4,−8),(−1,−7)},{line,solid,(−3,−8),(0,−7)},{line,solid,(−2,−8),(1,−7)},{line,solid,(−1,−8),(2,−7)},{line,solid,(0,−8),(3,−7)},{line,solid,(1,−8),(4,−7)},{line,solid,(2,−8),(5,−7)},{line,solid,(3,−8),(6,−7)},{line,solid,(4,−8),(7,−7)},{line,solid,(5,−8),(8,−7)},{line,solid,(−8,−7),(−5,−6)},{line,solid,(−8,−6),(−5,−5)},{line,solid,(−8,−5),(−5,−4)},{line,solid,(−8,−4),(−5,−3)},{line,solid,(−8,−3),(−5,−2)},{line,solid,(−8,−2),(−5,−1)},{line,solid,(−8,−1),(−5,0)},{line,solid,(−8,0),(−5,1)},{line,solid,(−8,1),(−5,2)},{line,solid,(−8,2),(−5,3)},{line,solid,(−8,3),(−5,4)},{line,solid,(−8,4),(−5,5)},{line,solid,(−8,5),(−5,6)},{line,solid,(−8,6),(−5,7)},{line,solid,(−8,7),(−5,8)},{line,solid,(−7,−7),(−4,−6)},{line,solid,(−7,−6),(−4,−5)},{line,solid,(−7,−5),(−4,−4)},{line,solid,(−7,−4),(−4,−3)},{line,solid,(−7,−3),(−4,−2)},{line,solid,(−7,−2),(−4,−1)},{line,solid,(−7,−1),(−4,0)},{line,solid,(−7,0),(−4,1)},{line,solid,(−7,1),(−4,2)},{line,solid,(−7,2),(−4,3)},{line,solid,(−7,3),(−4,4)},{line,solid,(−7,4),(−4,5)},{line,solid,(−7,5),(−4,6)},{line,solid,(−7,6),(−4,7)},{line,solid,(−7,7),(−4,8)},{line,solid,(−6,−7),(−3,−6)},{line,solid,(−6,−6),(−3,−5)},{line,solid,(−6,−5),(−3,−4)},{line,solid,(−6,−4),(−3,−3)},{line,solid,(−6,−3),(−3,−2)},{line,solid,(−6,−2),(−3,−1)},{line,solid,(−6,−1),(−3,0)},{line,solid,(−6,0),(−3,1)},{line,solid,(−6,1),(−3,2)},{line,solid,(−6,2),(−3,3)},{line,solid,(−6,3),(−3,4)},{line,solid,(−6,4),(−3,5)},{line,solid,(−6,5),(−3,6)},{line,solid,(−6,6),(−3,7)},{line,solid,(−6,7),(−3,8)}
3.4.5.43.
Answer.
{line,solid,(−8,−13),(−6,−18)},{line,solid,(−8,−12),(−6,−17)},{line,solid,(−8,−11),(−6,−16)},{line,solid,(−8,−10),(−6,−15)},{line,solid,(−8,−9),(−6,−14)},{line,solid,(−8,−8),(−6,−13)},{line,solid,(−8,−7),(−6,−12)},{line,solid,(−8,−6),(−6,−11)},{line,solid,(−8,−5),(−6,−10)},{line,solid,(−8,−4),(−6,−9)},{line,solid,(−8,−3),(−6,−8)},{line,solid,(−8,−2),(−6,−7)},{line,solid,(−8,−1),(−6,−6)},{line,solid,(−8,0),(−6,−5)},{line,solid,(−8,1),(−6,−4)},{line,solid,(−8,2),(−6,−3)},{line,solid,(−8,3),(−6,−2)},{line,solid,(−8,4),(−6,−1)},{line,solid,(−8,5),(−6,0)},{line,solid,(−8,6),(−6,1)},{line,solid,(−8,7),(−6,2)},{line,solid,(−8,8),(−6,3)},{line,solid,(−8,9),(−6,4)},{line,solid,(−8,10),(−6,5)},{line,solid,(−8,11),(−6,6)},{line,solid,(−8,12),(−6,7)},{line,solid,(−8,13),(−6,8)},{line,solid,(−7,−13),(−5,−18)},{line,solid,(−7,−12),(−5,−17)},{line,solid,(−7,−11),(−5,−16)},{line,solid,(−7,−10),(−5,−15)},{line,solid,(−7,−9),(−5,−14)},{line,solid,(−7,−8),(−5,−13)},{line,solid,(−7,−7),(−5,−12)},{line,solid,(−7,−6),(−5,−11)},{line,solid,(−7,−5),(−5,−10)},{line,solid,(−7,−4),(−5,−9)},{line,solid,(−7,−3),(−5,−8)},{line,solid,(−7,−2),(−5,−7)},{line,solid,(−7,−1),(−5,−6)},{line,solid,(−7,0),(−5,−5)},{line,solid,(−7,1),(−5,−4)},{line,solid,(−7,2),(−5,−3)},{line,solid,(−7,3),(−5,−2)},{line,solid,(−7,4),(−5,−1)},{line,solid,(−7,5),(−5,0)},{line,solid,(−7,6),(−5,1)},{line,solid,(−7,7),(−5,2)},{line,solid,(−7,8),(−5,3)},{line,solid,(−7,9),(−5,4)},{line,solid,(−7,10),(−5,5)},{line,solid,(−7,11),(−5,6)},{line,solid,(−7,12),(−5,7)},{line,solid,(−7,13),(−5,8)}

Applications

3.4.5.45.
Answer 1.
375 (ft(h
Answer 2.
125 (ft(h
Answer 3.
0 (ft(h
Answer 4.
−500 (ft(h
3.4.5.47.
Answer.
−8 (ml(min

Challenge

3.4.5.49.
Answer.
True

3.5 Slope-Intercept Form
3.5.7 Exercises

Skills Practice

3.5.7.1.
Answer 1.
2
Answer 2.
(0,7)
3.5.7.3.
Answer 1.
−7
Answer 2.
(0,−2)
3.5.7.5.
Answer 1.
1
Answer 2.
(0,1)
3.5.7.7.
Answer 1.
−1
Answer 2.
(0,5)
3.5.7.9.
Answer 1.
85
Answer 2.
(0,9)
3.5.7.11.
Answer 1.
−6.2
Answer 2.
(0,−6)
3.5.7.13.
Answer 1.
5
Answer 2.
(0,6)
3.5.7.15.
Answer 1.
−7
Answer 2.
(0,8)
3.5.7.17.
Answer.
y=2x+3
3.5.7.19.
Answer.
y=14x−4
3.5.7.21.
Answer.
y=x−2
3.5.7.23.
Answer.
y=x+4
3.5.7.25.
Answer.
y=13x+2
3.5.7.27.
Answer.
y=54x
3.5.7.29.
Answer.
{line,solid,(0,5),(1,7)}
3.5.7.31.
Answer.
{line,solid,(0,2),(1,−1)}
3.5.7.33.
Answer.
{line,solid,(0,−3),(−4,−2)}
3.5.7.35.
Answer.
{line,solid,(0,−4),(5,−3)}
3.5.7.37.
Answer.
{line,solid,(0,0),(9,2)}
3.5.7.39.
Answer.
{line,solid,(0,−1),(7,3)}
3.5.7.41.
Answer.
{line,solid,(0,1),(1,2)}
3.5.7.43.
Answer.
{line,solid,(0,5),(1,4)}
3.5.7.45.
Answer.
{line,solid,(0,−2),(7,−11)}
3.5.7.47.
Answer.
{line,solid,(0,2),(10,−4)}
3.5.7.49.
Answer.
y=9x−2
3.5.7.51.
Answer.
y=−3x+3
3.5.7.53.
Answer.
y=6x+7
3.5.7.55.
Answer.
y=87x−8
3.5.7.57.
Answer.
y=−34x−4
3.5.7.59.
Answer.
y=1419x+62
3.5.7.61.
Answer.
y=4.5x+4.4

Applications

3.5.7.63.
Answer.
14
3.5.7.65.
Answer.
360
3.5.7.67.
Answer.
45
3.5.7.69.
Answer 1.
y=0.06x+19
Answer 2.
$29.20
Answer 3.
490
3.5.7.71.
Answer 1.
y=0.27x+13.2
Answer 2.
21.03
Answer 3.
59
3.5.7.73.
Answer 1.
y=−22000x+831000
Answer 2.
$611,000
Answer 3.
2037
3.5.7.75.
Answer 1.
y=−8.9x+382.7
Answer 2.
62.3
Answer 3.
43

3.6 Point-Slope Form
3.6.5 Exercises

Skills Practice

3.6.5.1.
Answer 1.
2
Answer 2.
(6,5)
3.6.5.3.
Answer 1.
−4
Answer 2.
(−8,3)
3.6.5.5.
Answer 1.
6
Answer 2.
(−2,−3)
3.6.5.7.
Answer 1.
7
Answer 2.
(4,−9)
3.6.5.9.
Answer.
y=9(x−6)+7
3.6.5.11.
Answer.
y=3(x+9)−6
3.6.5.13.
Answer.
y=−1.7(x−5)−8
3.6.5.15.
Answer.
y=6(x−7)+3 or y=6(x−4)−15
3.6.5.17.
Answer.
y=−7(x−8)−9 or y=−7(x−4)+19
3.6.5.19.
Answer.
y=−37(x+8)−5 or y=−37(x+57)+16
3.6.5.21.
Answer.
y=75(x+4)+1 or y=75(x−6)+15
3.6.5.23.
Answer.
y=6x−43
3.6.5.25.
Answer.
y=−7x−9
3.6.5.27.
Answer.
y=27x+107
3.6.5.29.
Answer.
y=−5.7x+(−37.81)
3.6.5.31.
Answer.
y=87(x+4)−2 or y=87(x−3)+6
3.6.5.33.
Answer.
y=−58(x+2)+3 or y=−58(x−6)−2
3.6.5.35.
Answer.
y=20(x−2)+300 or y=20(x−7)+400
3.6.5.37.
Answer.
y=−574(x−1)+297 or y=−574(x−9)+183
3.6.5.39.
Answer.
{line,solid,(3,2),(4,6)}
3.6.5.41.
Answer.
{line,solid,(3,−4),(4,−2)}
3.6.5.43.
Answer.
{line,solid,(−8,−9),(−3,−2)}
3.6.5.45.
Answer.
{line,solid,(−3,8),(2,6)}
3.6.5.47.
Answer.
{line,solid,(3,4),(13,12)}

Applications

3.6.5.49.
Answer 1.
y=0.04(x−240)+26.6
Answer 2.
$25.00
Answer 3.
430
3.6.5.51.
Answer 1.
y=0.22(x−11)+13.92
Answer 2.
18.1
Answer 3.
52
3.6.5.53.
Answer 1.
y=−45000(x−2)+658000 or y=−45000(x−7)+433000
Answer 2.
$253,000
Answer 3.
2016
3.6.5.55.
Answer 1.
y=−7.1(x−10)+213 or y=−7.1(x−12)+198.8
Answer 2.
7.1
Answer 3.
40

3.7 Standard Form
3.7.5 Exercises

Review and Warmup

3.7.5.1.
Answer.
y=−9x+11
3.7.5.3.
Answer.
y=−x+9
3.7.5.5.
Answer.
y=−6623x+20623

Skills Practice

3.7.5.7.
Answer 1.
(4,0)
Answer 2.
(0,8)
Answer 3.
−12
3.7.5.9.
Answer 1.
(5,0)
Answer 2.
(0,−3)
Answer 3.
53
3.7.5.11.
Answer 1.
(57,0)
Answer 2.
(0,56)
Answer 3.
−67
3.7.5.13.
Answer 1.
(4947,0)
Answer 2.
(0,−4940)
Answer 3.
4047
3.7.5.15.
Answer 1.
(24,0)
Answer 2.
(0,403)
Answer 3.
−95
3.7.5.17.
Answer 1.
(−1.27273,0)
Answer 2.
(0,0.875)
Answer 3.
1.45455
3.7.5.19.
Answer.
6x−y=−3
3.7.5.21.
Answer.
8x−9y=27
3.7.5.23.
Answer.
{line,solid,(2,0),(0,5)},{point,(2,0)},{point,(0,5)}
3.7.5.25.
Answer.
{line,solid,(−4,0),(0,7)},{point,(−4,0)},{point,(0,7)}
3.7.5.27.
Answer.
{line,solid,(−5,0),(0,−9)},{point,(−5,0)},{point,(0,−9)}

Applications

3.7.5.29.
Answer.
0.6x+0.15y=99.6
3.7.5.31.
Answer.
4.93x+2.25y=4.66

Challenge

3.7.5.33.
3.7.5.33.a
Answer 1.
13
Answer 2.
2
Answer 3.
3
3.7.5.33.b
Answer 1.
2
Answer 2.
13
Answer 3.
3

3.8 Geometry of Lines
3.8.5 Exercises

Review and Warmup

3.8.5.1.
Answer.
y=8(x−7)+6 or y=8(x−3)−26
3.8.5.3.
Answer.
y=−57(x+9)−8 or y=−57(x−19)−28
3.8.5.5.
Answer.
Choice 1, Choice 4
3.8.5.7.
Answer.
Choice 2, Choice 4

Skills Practice

3.8.5.9.
Answer 1.
4;−2;(4,−2);4;−1;(4,−1);4;0;(4,0);4;1;(4,1);4;2;(4,2)
Answer 2.
{line,solid,(4,−2),(4,−1)}
3.8.5.11.
Answer 1.
−2;8;(−2,8);−1;8;(−1,8);0;8;(0,8);1;8;(1,8);2;8;(2,8)
Answer 2.
{line,solid,(−2,8),(−1,8)}
3.8.5.13.
Answer.
y=−5
3.8.5.15.
Answer.
x=−2
3.8.5.17.
Answer.
x=2
3.8.5.19.
Answer.
y=6
3.8.5.21.
Answer 1.
NONE
Answer 2.
(0,−9)
3.8.5.23.
Answer 1.
(−5,0)
Answer 2.
NONE
3.8.5.25.
Answer.
distinct and parallel
3.8.5.27.
Answer.
perpendicular
3.8.5.29.
Answer.
none of the above
3.8.5.31.
Answer.
same line
3.8.5.33.
Answer 1.
y−0.75x=−6.25
Answer 2.
{line,solid,(7,−1),(−5,−10)}
3.8.5.35.
Answer 1.
0.444444x+y=1.66667
Answer 2.
{line,solid,(6,−1),(24,−9)}
3.8.5.37.
Answer 1.
x=7
Answer 2.
{line,solid,(7,8),(7,4)}
3.8.5.39.
Answer 1.
y=−8
Answer 2.
{line,solid,(4,−8),(5,−8)}

3.9 Strategies for Graphing Lines
3.9.5 Exercises

3.9.5.1.

Answer 1.
3;(−2,3);2;(−1,2);1;(0,1);0;(1,0);−1;(2,−1)
Answer 2.
{point,(−2,3)},{point,(−1,2)},{point,(0,1)},{point,(1,0)},{point,(2,−1)},{line,solid,(−2,3),(−1,2)}

3.9.5.3.

Answer 1.
8;(−8,8);5;(−4,5);2;(0,2);−1;(4,−1);−4;(8,−4)
Answer 2.
{point,(−8,8)},{point,(−4,5)},{point,(0,2)},{point,(4,−1)},{point,(8,−4)},{line,solid,(−8,8),(−4,5)}

3.9.5.5.

Answer 1.
6;−2;(6,−2);6;−1;(6,−1);6;0;(6,0);6;1;(6,1);6;2;(6,2)
Answer 2.
{line,solid,(6,−2),(6,−1)}

3.9.5.7.

Answer 1.
−2;−9;(−2,−9);−1;−9;(−1,−9);0;−9;(0,−9);1;−9;(1,−9);2;−9;(2,−9)
Answer 2.
{line,solid,(−2,−9),(−1,−9)}

3.9.5.9.

Answer.
{line,solid,(3,0),(0,7)},{point,(3,0)},{point,(0,7)}

3.9.5.11.

Answer.
{line,solid,(5,0),(0,−9)},{point,(5,0)},{point,(0,−9)}

3.9.5.13.

Answer.
{line,solid,(−7,0),(0,−4)},{point,(−7,0)},{point,(0,−4)}

3.9.5.15.

Answer.
{line,solid,(0,−3),(1,2)}

3.9.5.17.

Answer.
{line,solid,(0,−5),(1,−7)}

3.9.5.19.

Answer.
{line,solid,(0,2),(−3,3)}

3.9.5.21.

Answer.
{line,solid,(0,3),(4,4)}

3.9.5.23.

Answer.
{line,solid,(0,4),(3,12)}

3.9.5.25.

Answer.
{line,solid,(0,−9),(1,−8)}

3.9.5.27.

Answer.
{line,solid,(0,−1),(8,−4)}

3.9.5.29.

Answer.
{line,solid,(3,5),(4,9)}

3.9.5.31.

Answer.
{line,solid,(4,−2),(5,1)}

3.9.5.33.

Answer.
{line,solid,(−8,−3),(−3,0)}

3.9.5.35.

Answer.
{line,solid,(−8,4),(−5,−4)}

3.9.5.37.

Answer.
{line,solid,(−9,8),(1,5)}

3.9.5.39.

Answer.
{line,solid,(0,−2),(1,2)}

3.9.5.41.

Answer.
{line,solid,(0,1),(3,−7)}

3.9.5.43.

Answer.
{line,solid,(−8,−2),(−5,0)}

3.9.5.45.

Answer.
{line,solid,(3,0),(0,4)},{point,(3,0)},{point,(0,4)}

3.9.5.47.

Answer.
{line,solid,(−1,−2),(−1,−1)}

3.9.5.49.

Answer.
{line,solid,(−2,3),(−1,3)}

3.10 Graphing Lines Chapter Review

Review Exercises for Chapter 3

Section 1: Cartesian Coordinates
3.10.1.
Answer 1.
(1,0)
Answer 2.
(3,−1)
Answer 3.
(0,−2)
Answer 4.
(−3,−4)
3.10.3.
Answer.
{point,(0,3)},{point,(−8,0)},{point,(2,−6)},{point,(6,−1)}
3.10.5.
Answer.
{fill,(1,1)},{fill,(1,−1)}
3.10.7.
Answer 1.
III
Answer 2.
IV
Answer 3.
IV
Answer 4.
I
Section 2: Graphing Equations
3.10.9.
Answer.
Choice 1, Choice 2
3.10.11.
Answer 1.
−13;(−2,−13);−2;(−1,−2);1;(0,1);2;(1,2);7;(2,7)
Answer 2.
{point,(−2,−13)},{point,(−1,−2)},{point,(0,1)},{point,(1,2)},{point,(2,7)},{cubic,solid,(−2,−13),(−1,−2),(0,1),(1,2)}
Section 3: Exploring Two-Variable Data and Rate of Change
3.10.13.
Answer.
y=6x
3.10.15.
Answer.
y=x2
3.10.17.
Answer.
−950
3.10.19.
Answer.
32
3.10.21.
Answer.
yes
Section 4: Slope
3.10.23.
Answer.
89
3.10.25.
Answer.
400231
3.10.27.
Answer.
0.872449
3.10.29.
Answer.
{line,solid,(−8,−8),(−5,−4)},{line,solid,(−8,−7),(−5,−3)},{line,solid,(−8,−6),(−5,−2)},{line,solid,(−8,−5),(−5,−1)},{line,solid,(−7,−8),(−4,−4)},{line,solid,(−7,−7),(−4,−3)},{line,solid,(−7,−6),(−4,−2)},{line,solid,(−7,−5),(−4,−1)},{line,solid,(−6,−8),(−3,−4)},{line,solid,(−6,−7),(−3,−3)},{line,solid,(−6,−6),(−3,−2)},{line,solid,(−6,−5),(−3,−1)},{line,solid,(−5,−8),(−2,−4)},{line,solid,(−5,−7),(−2,−3)},{line,solid,(−5,−6),(−2,−2)},{line,solid,(−5,−5),(−2,−1)},{line,solid,(−4,−8),(−1,−4)},{line,solid,(−4,−7),(−1,−3)},{line,solid,(−4,−6),(−1,−2)},{line,solid,(−4,−5),(−1,−1)},{line,solid,(−3,−8),(0,−4)},{line,solid,(−3,−7),(0,−3)},{line,solid,(−3,−6),(0,−2)},{line,solid,(−3,−5),(0,−1)},{line,solid,(−2,−8),(1,−4)},{line,solid,(−2,−7),(1,−3)},{line,solid,(−2,−6),(1,−2)},{line,solid,(−2,−5),(1,−1)},{line,solid,(−1,−8),(2,−4)},{line,solid,(−1,−7),(2,−3)},{line,solid,(−1,−6),(2,−2)},{line,solid,(−1,−5),(2,−1)},{line,solid,(0,−8),(3,−4)},{line,solid,(0,−7),(3,−3)},{line,solid,(0,−6),(3,−2)},{line,solid,(0,−5),(3,−1)},{line,solid,(1,−8),(4,−4)},{line,solid,(1,−7),(4,−3)},{line,solid,(1,−6),(4,−2)},{line,solid,(1,−5),(4,−1)},{line,solid,(2,−8),(5,−4)},{line,solid,(2,−7),(5,−3)},{line,solid,(2,−6),(5,−2)},{line,solid,(2,−5),(5,−1)},{line,solid,(3,−8),(6,−4)},{line,solid,(3,−7),(6,−3)},{line,solid,(3,−6),(6,−2)},{line,solid,(3,−5),(6,−1)},{line,solid,(4,−8),(7,−4)},{line,solid,(4,−7),(7,−3)},{line,solid,(4,−6),(7,−2)},{line,solid,(4,−5),(7,−1)},{line,solid,(5,−8),(8,−4)},{line,solid,(5,−7),(8,−3)},{line,solid,(5,−6),(8,−2)},{line,solid,(5,−5),(8,−1)},{line,solid,(−8,−4),(−5,0)},{line,solid,(−8,−3),(−5,1)},{line,solid,(−8,−2),(−5,2)},{line,solid,(−8,−1),(−5,3)},{line,solid,(−8,0),(−5,4)},{line,solid,(−8,1),(−5,5)},{line,solid,(−8,2),(−5,6)},{line,solid,(−8,3),(−5,7)},{line,solid,(−8,4),(−5,8)},{line,solid,(−7,−4),(−4,0)},{line,solid,(−7,−3),(−4,1)},{line,solid,(−7,−2),(−4,2)},{line,solid,(−7,−1),(−4,3)},{line,solid,(−7,0),(−4,4)},{line,solid,(−7,1),(−4,5)},{line,solid,(−7,2),(−4,6)},{line,solid,(−7,3),(−4,7)},{line,solid,(−7,4),(−4,8)},{line,solid,(−6,−4),(−3,0)},{line,solid,(−6,−3),(−3,1)},{line,solid,(−6,−2),(−3,2)},{line,solid,(−6,−1),(−3,3)},{line,solid,(−6,0),(−3,4)},{line,solid,(−6,1),(−3,5)},{line,solid,(−6,2),(−3,6)},{line,solid,(−6,3),(−3,7)},{line,solid,(−6,4),(−3,8)}
3.10.31.
Answer.
−6.66667 (ml(min
Section 5: Slope-Intercept Form
3.10.33.
Answer 1.
65
Answer 2.
(0,−8)
3.10.35.
Answer.
y=x−2
3.10.37.
Answer.
{line,solid,(0,−2),(−4,−1)}
3.10.39.
Answer.
{line,solid,(0,1),(9,−6)}
3.10.41.
Answer.
y=−87x+9
3.10.43.
Answer.
15
3.10.45.
Answer 1.
y=−5x+220
Answer 2.
60
Answer 3.
44
Section 6: Point-Slope Form
3.10.47.
Answer 1.
7
Answer 2.
(8,9)
3.10.49.
Answer.
y=8(x−2)+7
3.10.51.
Answer.
y=2(x−5)+7 or y=2(x−6)+9
3.10.53.
Answer.
y=−4x−23
3.10.55.
Answer.
y=−53(x+1)+7, y=−53(x−2)+2, or y=−53(x−5)−3
3.10.57.
Answer.
{line,solid,(4,2),(5,5)}
3.10.59.
Answer 1.
y=−49000(x−4)+636000
Answer 2.
$391,000
Answer 3.
2016
3.10.61.
Answer 1.
y=0.13(x−14)+19.92 or y=0.13(x−19)+20.57
Answer 2.
22
Answer 3.
56
Section 7: Standard Form
3.10.63.
Answer 1.
(2.28571,0)
Answer 2.
(0,−1.54839)
Answer 3.
1.47619
3.10.65.
Answer.
7x+5y=−5
3.10.67.
Answer.
{line,solid,(−8,0),(0,−7)},{point,(−8,0)},{point,(0,−7)}
Section 8: Geometry of Lines
3.10.69.
Answer 1.
−2;−8;(−2,−8);−1;−8;(−1,−8);0;−8;(0,−8);1;−8;(1,−8);2;−8;(2,−8)
Answer 2.
{line,solid,(−2,−8),(−1,−8)}
3.10.71.
Answer 1.
NONE
Answer 2.
(0,−4)
3.10.73.
Answer.
none of the above

4 Systems of Two Linear Equations
4.1 Solving a System by Graphing
4.1.5 Exercises

Review

4.1.5.1.
Answer.
Choice 2, Choice 4, Choice 6

Skills Practice

4.1.5.3.
Answer.
Yes, it is a solution.
4.1.5.5.
Answer.
No, it is not a solution.
4.1.5.7.
Answer.
No, it is not a solution.
4.1.5.9.
Answer.
(−2,4)
4.1.5.11.
Answer.
(1,−4)
4.1.5.13.
Answer.
no solutions
4.1.5.15.
Answer 1.
One
Answer 2.
None of the above
4.1.5.17.
Answer 1.
Infinitely many
Answer 2.
Dependent
4.1.5.19.
Answer 1.
Zero
Answer 2.
Inconsistent
4.1.5.21.
Answer 1.
{line,solid,(0,7),(4,2)},{line,solid,(0,−3),(4,2)}
Answer 2.
(4,2)
4.1.5.23.
Answer 1.
{line,solid,(3,−2),(8,6)},{line,solid,(6,9),(8,6)}
Answer 2.
(8,6)
4.1.5.25.
Answer 1.
{line,solid,(−1,−4),(2,−9)},{line,solid,(6,7),(9,2)}
Answer 2.
no solutions
4.1.5.27.
Answer 1.
{line,solid,(−2,0),(0,1)},{line,solid,(−8,0),(0,−2)}
Answer 2.
(−4,−1)
4.1.5.29.
Answer 1.
{line,solid,(2,0),(0,4)},{line,solid,−16,(0,−6)}
Answer 2.
no solutions
4.1.5.31.
Answer 1.
{line,solid,(4,0),(0,−4)},{line,solid,(4,−1),(0,−5)}
Answer 2.
no solutions
4.1.5.33.
Answer 1.
{line,solid,(−5,0),(0,1)},{line,solid,(−8,−4),(5,2)}
Answer 2.
(5,2)
4.1.5.35.
Answer 1.
{line,solid,(3,0),(0,−1)}
Answer 2.
infinitely many solutions
4.1.5.37.
Answer 1.
{line,solid,(0,1),(1,9)},{line,solid,(9,−4),(19,−1)}
Answer 2.
infinitely many solutions
4.1.5.39.
Answer 1.
{line,solid,(0,−2),(4,−3)}
Answer 2.
(4,−3)

Applications

4.1.5.41.
4.1.5.41.a
Answer 1.
3x+2y=54
Answer 2.
x+y=24
4.1.5.41.b
Answer.
{line,solid,(0,27),(18,0)},{line,solid,(0,24),(24,0)}
4.1.5.41.c
Answer 1.
6
Answer 2.
18
4.1.5.43.
4.1.5.43.a
Answer 1.
d=3t
Answer 2.
d=110+(−8)t
4.1.5.43.b
Answer.
{line,solid,(0,0),(1,3)},{line,solid,(0,110),(1,102)}
4.1.5.43.c
Answer 1.
10 s
Answer 2.
30 m

4.2 Substitution
4.2.5 Exercises

Skills Practice

4.2.5.1.
Answer.
E=4,D=−5
4.2.5.3.
Answer.
Q=1,V=3
4.2.5.5.
Answer.
c=−2,k=−6
4.2.5.7.
Answer.
n=−4,A=2
4.2.5.9.
Answer.
z=−7,P=7
4.2.5.11.
Answer.
no solutions
4.2.5.13.
Answer.
infinitely many solutions
4.2.5.15.
Answer.
h=1,K=−3
4.2.5.17.
Answer.
no solutions
4.2.5.19.
Answer.
E=−4,r=−5
4.2.5.21.
Answer.
Q=−114,F=−874
4.2.5.23.
Answer.
infinitely many solutions
4.2.5.25.
Answer.
m=135,l=515
4.2.5.27.
Answer.
y=645,C=835
4.2.5.29.
Answer.
J=−199,S=−349
4.2.5.31.
Answer.
W=−125,h=−8
4.2.5.33.
Answer.
h=1,y=4
4.2.5.35.
Answer.
t=−1.11765,N=−4.44118
4.2.5.37.
Answer.
E=−0.250609,d=−1.18558
4.2.5.39.
Answer.
P=2615,t=199
4.2.5.41.
Answer.
b=15,I=275
4.2.5.43.
Answer.
m=−12,Z=−310
4.2.5.45.
Answer.
no solutions
4.2.5.47.
Answer.
J=1354,D=−152
4.2.5.49.
Answer 1.
W=−36,T=1223
Answer 2.
16
4.2.5.51.
Answer.
infinitely many solutions

Applications

4.2.5.53.
Answer 1.
L=4W−8
Answer 2.
2L+2W=139
Answer 3.
54 ft
Answer 4.
15.5 ft
4.2.5.55.
Answer 1.
B=36.95+4.25D
Answer 2.
B=45.95+3.2D
Answer 3.
8.57143 GB
Answer 4.
$73.38
4.2.5.57.
Answer 1.
M+S=29
Answer 2.
2M+8S=100
Answer 3.
22
Answer 4.
7
4.2.5.59.
Answer 1.
x+y=3900
Answer 2.
0.015x−0.07y=−212.5
Answer 3.
$1,100
Answer 4.
$2,800
4.2.5.61.
Answer 1.
x+y=555
Answer 2.
0.1x+0.18y=69.93
Answer 3.
375 ml
Answer 4.
180 ml

4.3 Elimination
4.3.5 Exercises

Skills Practice

4.3.5.1.
Answer.
I=−2,r=1
4.3.5.3.
Answer.
V=−4,G=6
4.3.5.5.
Answer.
g=−7,X=−2
4.3.5.7.
Answer.
s=6,m=4
4.3.5.9.
Answer.
no solutions
4.3.5.11.
Answer.
P=1,S=4
4.3.5.13.
Answer.
b=73,j=1
4.3.5.15.
Answer.
l=−323,y=343
4.3.5.17.
Answer.
x=17.6111,N=−2.27778
4.3.5.19.
Answer.
I=1712,e=98
4.3.5.21.
Answer.
infinitely many solutions
4.3.5.23.
Answer.
no solutions
4.3.5.25.
Answer.
s=−2,Z=5
4.3.5.27.
Answer.
C=−4,p=−3
4.3.5.29.
Answer.
N=−7,E=4
4.3.5.31.
Answer.
infinitely many solutions

Applications

4.3.5.33.
Answer 1.
M+S=36
Answer 2.
2M+6S=100
Answer 3.
29
Answer 4.
7
4.3.5.35.
Answer 1.
x+y=4700
Answer 2.
0.02x+0.055y=223.5
Answer 3.
$1,000
Answer 4.
$3,700

Challenge

4.3.5.37.
Answer.
3

4.4 Systems of Two Linear Equations Chapter Review

Review Exercises for Chapter 4

Section 1: Solving a System by Graphing
4.4.1.
Answer.
Yes, it is a solution.
4.4.3.
Answer.
no solutions
4.4.5.
Answer 1.
Infinitely many
Answer 2.
Dependent
4.4.7.
Answer 1.
{line,solid,(−1,0),(0,−3)},{line,solid,(−8,1),(−4,9)}
Answer 2.
(−4,9)
4.4.9.
4.4.9.a
Answer 1.
d=3t
Answer 2.
d=150+(−12)t
4.4.9.b
Answer.
{line,solid,(0,0),(1,3)},{line,solid,(0,150),(1,138)}
4.4.9.c
Answer 1.
10 s
Answer 2.
30 m
Section 2: Substitution
4.4.11.
Answer.
T=4,R=7
4.4.13.
Answer.
infinitely many solutions
4.4.15.
Answer.
r=0.0714286,z=−0.2
4.4.17.
Answer.
C=−2,N=2914
4.4.19.
Answer 1.
R=96000−4500t
Answer 2.
R=41000+2000t
Answer 3.
8.46154 months
Answer 4.
$0
4.4.21.
Answer 1.
P+C=1
Answer 2.
1.6P+5.76C=3
Answer 3.
0.663462 lb
Answer 4.
0.336538 lb
Section 3: Elimination
4.4.23.
Answer.
k=4,J=2
4.4.25.
Answer.
no solutions
4.4.27.
Answer 1.
x+y=4200
Answer 2.
0.015x+0.05y=157.5
Answer 3.
$1,500
Answer 4.
$2,700

II Preparation for STEM
5 Exponents and Polynomials
5.1 Adding and Subtracting Polynomials
5.1.5 Exercises

Review and Warmup

5.1.5.1.
Answer.
13V,−85d,−7.4v
5.1.5.3.
Answer.
−83x9,16x7,−x2
5.1.5.5.
Answer.
40.3C
5.1.5.7.
Answer.
64.3N4+6.6N6

Vocabulary

5.1.5.9.
Answer 1.
binomial
Answer 2.
4
Answer 3.
9t4
Answer 4.
9
5.1.5.11.
Answer 1.
monomial
Answer 2.
3
Answer 3.
6y3
Answer 4.
6
5.1.5.13.
Answer 1.
trinomial
Answer 2.
5
Answer 3.
−83.2z5
Answer 4.
−83.2
5.1.5.15.
Answer 1.
binomial
Answer 2.
9
Answer 3.
3z9
Answer 4.
3
5.1.5.17.
Answer 1.
trinomial
Answer 2.
13
Answer 3.
38y8t5
Answer 4.
38

Simplifying Polynomials

5.1.5.19.
Answer.
−8
5.1.5.21.
Answer.
5y9−10y4
5.1.5.23.
Answer.
−r4+3r3−7
5.1.5.25.
Answer.
−0.458333t−0.587302
5.1.5.27.
Answer.
1.65278t2+2.25t+0.777778
5.1.5.29.
Answer.
−1.77143x5+0.375x7−0.166667x9
5.1.5.31.
Answer.
4y5−3y6+y
5.1.5.33.
Answer.
1.4r8+0.7r4−7.3r5+1.7r9
5.1.5.35.
Answer.
−17t−10
5.1.5.37.
Answer.
x4−2x
5.1.5.39.
Answer.
16y9+y7+3
5.1.5.41.
Answer.
−2.4r−0.8
5.1.5.43.
Answer.
−2.16667t3+2.10714t2+2.21429
5.1.5.45.
Answer.
−1.33333t2−1.25t5+0.5t9
5.1.5.47.
Answer.
−2x9−4x3+9x6
5.1.5.49.
Answer.
−11.4y3+9y+12.8y2−3.2y7
5.1.5.51.
Answer.
11r−3z
5.1.5.53.
Answer.
−2t7r6−6tr3
5.1.5.55.
Answer.
2x6−7x4y6+17y3
5.1.5.57.
Answer.
−2.14286y+0.0416667z
5.1.5.59.
Answer.
1.55556z3t5−1.375zt8−4.9t7
5.1.5.61.
Answer.
−2.2r2x3+0.444444r3x8+1.5r8x7
5.1.5.63.
Answer.
−t9y3−5t2y2+6t5y6
5.1.5.65.
Answer.
10.5x7r4+4.7x6r3+0.5x4−0.3x2r5

Evaluating Polynomials

5.1.5.67.
Answer 1.
6512
Answer 2.
4910
Answer 3.
194
5.1.5.69.
Answer 1.
24
Answer 2.
47
Answer 3.
117
5.1.5.71.
Answer 1.
−223
Answer 2.
−35
Answer 3.
−53
5.1.5.73.
Answer 1.
9.44
Answer 2.
10.21
Answer 3.
7.36
5.1.5.75.
Answer 1.
−12
Answer 2.
−52
Answer 3.
5
5.1.5.77.
Answer 1.
−40
Answer 2.
−88
Answer 3.
−4

Applications

5.1.5.79.
Answer.
1.84467×1019 ft
5.1.5.81.
Answer.
483636
5.1.5.83.
Answer.
554659
5.1.5.85.
Answer.
1.6x2+0.18x+282
5.1.5.87.
Answer.
0.007x2+0.93x+240

5.2 Introduction to Exponent Rules
5.2.4 Exercises

Review and Warmup

5.2.4.1.
5.2.4.1.a
Answer.
4
5.2.4.1.b
Answer.
16
5.2.4.1.c
Answer.
−3125
5.2.4.1.d
Answer.
−16
5.2.4.3.
5.2.4.3.a
Answer.
16625
5.2.4.3.b
Answer.
1625
5.2.4.3.c
Answer.
−2433125
5.2.4.3.d
Answer.
−16625
5.2.4.5.
5.2.4.5.a
Answer.
1158.56
5.2.4.5.b
Answer.
3.61
5.2.4.5.c
Answer.
−12.167
5.2.4.5.d
Answer.
−17.64

Skills Practice

5.2.4.7.
Answer.
84
5.2.4.9.
Answer.
210
5.2.4.11.
Answer.
g12
5.2.4.13.
Answer.
m15
5.2.4.15.
Answer.
745
5.2.4.17.
Answer.
y56
5.2.4.19.
Answer.
8e3
5.2.4.21.
Answer.
27j3h3
5.2.4.23.
Answer.
16q4
5.2.4.25.
Answer.
18w0
5.2.4.27.
Answer.
625b36
5.2.4.29.
Answer.
168g18
5.2.4.31.
Answer.
−125m27
5.2.4.33.
Answer.
t015
5.2.4.35.
Answer.
y0256
5.2.4.37.
Answer.
d2+d
5.2.4.39.
Answer.
i3+i2
5.2.4.41.
Answer.
q12+q7
5.2.4.43.
5.2.4.43.a
Answer.
2w
5.2.4.43.b
Answer.
w2
5.2.4.45.
5.2.4.45.a
Answer.
2b9
5.2.4.45.b
Answer.
b18
5.2.4.47.
5.2.4.47.a
Answer.
g4+g3
5.2.4.47.b
Answer.
g7
5.2.4.49.
5.2.4.49.a
Answer.
2m6+m2
5.2.4.49.b
Answer.
m14
5.2.4.51.
5.2.4.51.a
Answer.
14t9
5.2.4.51.b
Answer.
45t18
5.2.4.53.
Answer.
192y14
5.2.4.55.
Answer.
128d17n23
5.2.4.57.
Answer.
−42i11
5.2.4.59.
Answer.
−51p4
5.2.4.61.
Answer.
2076w23

Challenge

5.2.4.63.
5.2.4.63.a
Answer.
1
5.2.4.63.b
Answer.
94
5.2.4.63.c
Answer.
499
5.2.4.65.
Answer 1.
−11x;−10x
Answer 2.
−5x20;−6x20
Answer 3.
7;x35;x10

5.3 Dividing by a Monomial
5.3.4 Exercises

Skills Practice

5.3.4.1.
Answer.
m2
5.3.4.3.
Answer.
t6
5.3.4.5.
Answer.
8y6
5.3.4.7.
Answer.
3d2
5.3.4.9.
Answer.
0.142857i3
5.3.4.11.
Answer.
0.888889t
5.3.4.13.
Answer.
182216
5.3.4.15.
Answer.
4268⋅6853
5.3.4.17.
Answer.
g5v2
5.3.4.19.
Answer.
27a2y7
5.3.4.21.
Answer.
5i9+9i5
5.3.4.23.
Answer.
7v9+6v5
5.3.4.25.
Answer.
−7f9+9f5+2f7
5.3.4.27.
Answer.
−5x5+(−3)x9+5x6
5.3.4.29.
Answer.
6d8−3d5
5.3.4.31.
Answer.
9p5w5+2p4w9

Applications

5.3.4.33.
Answer.
2x4+10x2+6x
5.3.4.35.
Answer.
16

5.4 Multiplying Polynomials
5.4.5 Exercises

Review and Warmup

5.4.5.1.
Answer.
t9
5.4.5.3.
Answer.
9y2
5.4.5.5.
Answer.
14d0

Skills Practice

5.4.5.7.
Answer.
−3x2−9x
5.4.5.9.
Answer.
56x2+49x
5.4.5.11.
Answer.
6x3+48x2
5.4.5.13.
Answer.
−20x4+50x3
5.4.5.15.
Answer.
−24x4+20x3+16x2
5.4.5.17.
Answer.
12x25y3−36x11y19
5.4.5.19.
Answer.
−72a21b33−48a29b27
5.4.5.21.
Answer.
−80a17+60a20b5−90a10b8
5.4.5.23.
Answer.
x2+11x+30
5.4.5.25.
Answer.
9y2+76y+32
5.4.5.27.
Answer.
r2−7r−8
5.4.5.29.
Answer.
t2−17t+70
5.4.5.31.
Answer.
5x2+29x+36
5.4.5.33.
Answer.
8x2−26x+21
5.4.5.35.
Answer.
4y2−9y+5
5.4.5.37.
Answer.
7r2+15r−18
5.4.5.39.
Answer.
12t3−16t2−42t+56
5.4.5.41.
Answer.
3x5+9x3+x2+3
5.4.5.43.
Answer.
20y4−46y2+18
5.4.5.45.
Answer.
a2−ab−56b2
5.4.5.47.
Answer.
9a2+20ab−21b2
5.4.5.49.
Answer.
10a2−31ab+15b2
5.4.5.51.
Answer.
32a2b2+16ab−6
5.4.5.53.
Answer.
2y2+2y−180
5.4.5.55.
Answer.
−2r2−12r+32
5.4.5.57.
Answer.
t3+8t2+15t
5.4.5.59.
Answer.
5x3−15x2−20x
5.4.5.61.
Answer.
−9y2+12y+45
5.4.5.63.
Answer.
−20x4+26x3+8x2−20x+6
5.4.5.65.
Answer.
5x3−23x2+10x+8
5.4.5.67.
Answer.
x4+2x3−17x2−12x+20
5.4.5.69.
Answer.
a3+4a2b−41ab2+36b3
5.4.5.71.
Answer.
a2+2ab+b2−36

Applications

5.4.5.73.
Answer.
2w2−7w
5.4.5.75.
Answer.
2b2+5b
5.4.5.77.
Answer.
h2+5h
5.4.5.79.
Answer.
x2+5x−50
5.4.5.81.
Answer.
−24x2+344x+1760

Challenge

5.4.5.83.
Answer 1.
−7xy;−4xy
Answer 2.
−5x20y9;−10x20y9
Answer 3.
x40;x10;y50;y30;13

5.5 Special Cases of Multiplying Polynomials
5.5.5 Exercises

Review and Warmup

5.5.5.1.
Answer.
16k2
5.5.5.3.
Answer.
625r20
5.5.5.5.
Answer.
625x36

Skills Practice

5.5.5.7.
Answer.
x2+10x+25
5.5.5.9.
Answer.
64y2+64y+16
5.5.5.11.
Answer.
r2−20r+100
5.5.5.13.
Answer.
25t2−100t+100
5.5.5.15.
Answer.
49t4−28t2+4
5.5.5.17.
Answer.
x16+26x8+169
5.5.5.19.
Answer.
25a2+40ab+16b2
5.5.5.21.
Answer.
49a2b2−98ab+49
5.5.5.23.
Answer.
x4+18x2y2+81y4
5.5.5.25.
Answer.
x2−64
5.5.5.27.
Answer.
16y2−64
5.5.5.29.
Answer.
64−64r2
5.5.5.31.
Answer.
t14−121
5.5.5.33.
Answer.
16t8−9
5.5.5.35.
Answer.
1−121x14
5.5.5.37.
Answer.
25x2−4y2
5.5.5.39.
Answer.
a2b2−49
5.5.5.41.
Answer.
4t2−36
5.5.5.43.
Answer.
108x2−12
5.5.5.45.
Answer.
4y2+24y+36
5.5.5.47.
Answer.
108r2+108r+27
5.5.5.49.
Answer.
x4−64y4
5.5.5.51.
Answer.
100x4−9y16
5.5.5.53.
Answer.
9x12y4−36y16
5.5.5.55.
Answer.
y3+15y2+75y+125
5.5.5.57.
Answer.
r3−6r2+12r−8
5.5.5.59.
Answer.
27t3+162t2+324t+216
5.5.5.61.
Answer.
125x3−450x2+540x−216
5.5.5.63.
5.5.5.63.a
Answer.
False
5.5.5.63.b
Answer.
False
5.5.5.63.c
Answer.
True

5.6 More Exponent Rules
5.6.7 Exercises

Review and Warmup

5.6.7.1.
5.6.7.1.a
Answer.
16
5.6.7.1.b
Answer.
625
5.6.7.1.c
Answer.
−3125
5.6.7.1.d
Answer.
−4
5.6.7.3.
5.6.7.3.a
Answer.
425
5.6.7.3.b
Answer.
625256
5.6.7.3.c
Answer.
−1243
5.6.7.3.d
Answer.
−425

Skills Practice

5.6.7.5.
Answer.
t31
5.6.7.7.
Answer.
r33
5.6.7.9.
Answer.
64y6
5.6.7.11.
Answer.
42t22
5.6.7.13.
Answer.
−x1321
5.6.7.15.
Answer.
−300y20
5.6.7.17.
Answer.
1
5.6.7.19.
Answer.
−1
5.6.7.21.
Answer.
2
5.6.7.23.
Answer.
32
5.6.7.25.
Answer.
1
5.6.7.27.
Answer.
x64
5.6.7.29.
Answer.
−125216x30
5.6.7.31.
Answer.
729x1864
5.6.7.33.
Answer.
x44y14z16
5.6.7.35.
Answer.
9x20100y10
5.6.7.37.
Answer.
27
5.6.7.39.
Answer.
1
5.6.7.41.
Answer.
−328
5.6.7.43.
Answer.
14x11
5.6.7.45.
Answer.
19x3
5.6.7.47.
Answer.
8x6
5.6.7.49.
Answer.
9x5
5.6.7.51.
Answer.
6x137
5.6.7.53.
Answer.
x5t19
5.6.7.55.
Answer.
1y14x16
5.6.7.57.
Answer.
y1337
5.6.7.59.
Answer.
1r2
5.6.7.61.
Answer.
10t13
5.6.7.63.
Answer.
713x29
5.6.7.65.
Answer.
1y97
5.6.7.67.
Answer.
1r24
5.6.7.69.
Answer.
1r5
5.6.7.71.
Answer.
−27t10
5.6.7.73.
Answer.
49100
5.6.7.75.
Answer.
125
5.6.7.77.
Answer.
−343
5.6.7.79.
Answer.
−128
5.6.7.81.
Answer.
14
5.6.7.83.
Answer.
38
5.6.7.85.
Answer.
216
5.6.7.87.
Answer.
−164
5.6.7.89.
Answer.
64t3
5.6.7.91.
Answer.
64x47
5.6.7.93.
Answer.
1y4
5.6.7.95.
Answer.
1625r24
5.6.7.97.
Answer.
t344
5.6.7.99.
Answer.
x109
5.6.7.101.
Answer.
21y22
5.6.7.103.
Answer.
y39
5.6.7.105.
Answer.
8r2
5.6.7.107.
Answer.
1t29
5.6.7.109.
Answer.
1x42
5.6.7.111.
Answer.
1y8t8
5.6.7.113.
Answer.
r30y20
5.6.7.115.
Answer.
16t36
5.6.7.117.
Answer.
t16x20
5.6.7.119.
Answer.
x34y28
5.6.7.121.
Answer.
8y527x22z3
5.6.7.123.
Answer.
1x45y18z39

Challenge

5.6.7.125.
Answer 1.
9;−1;1
Answer 2.
6;−5;8
5.6.7.127.
Answer 1.
9;−1;1
Answer 2.
NONE
Answer 3.
NONE
Answer 4.
NONE

5.7 Exponents and Polynomials Chapter Review

Review Exercises for Chapter 5

Section 1: Adding and Subtracting Polynomials
5.7.1.
Answer 1.
binomial
Answer 2.
6
Answer 3.
−5z6
Answer 4.
−5
5.7.3.
Answer.
y6+3y−10
5.7.5.
Answer.
3r−9
5.7.7.
Answer.
3t7−9t2+7t8
5.7.9.
Answer.
4x2y3−0.844444xy2+0.142857y5
5.7.11.
Answer 1.
14
Answer 2.
28
Answer 3.
68
5.7.13.
Answer.
0.2x2+3.05x+2975
[cross-reference to target(s) "section-introduction-to-exponent-properties" missing or not unique]: [cross-reference to target(s) "section-introduction-to-exponent-properties" missing or not unique]
5.7.15.
Answer.
v21
5.7.17.
Answer.
81a4f4
5.7.19.
Answer.
−16f10
5.7.21.
Answer.
k10+k17
5.7.23.
Answer.
324r28c7
5.7.25.
Answer.
1285x16
Section 3: Dividing by a Monomial
5.7.27.
Answer.
3c2
5.7.29.
Answer.
25i10r9
5.7.31.
Answer.
−4j9+(−6)j6+(−8)j7
5.7.33.
Answer.
7n9i6+2n7i3
Section 4: Multiplying Polynomials
5.7.35.
Answer.
18x2+10x
5.7.37.
Answer.
32x21y7−16x6y11
5.7.39.
Answer.
y2+y−30
5.7.41.
Answer.
12r3−14r2−48r+56
5.7.43.
Answer.
30a2b2+49ab+12
5.7.45.
Answer.
−2x3−6x2−14x−10
5.7.47.
Answer.
5w2−4w
Section 5: Special Cases of Multiplying Polynomials
5.7.49.
Answer.
r2+2r+1
5.7.51.
Answer.
81a2+90ab+25b2
5.7.53.
Answer.
x10−36
5.7.55.
Answer.
16x2−144
5.7.57.
Answer.
36x16y16−16y4
5.7.59.
Answer.
125r3−150r2+60r−8
Section 6: More Exponent Rules
5.7.61.
Answer.
128x33
5.7.63.
Answer.
1
5.7.65.
Answer.
2564
5.7.67.
Answer.
8x159
5.7.69.
Answer.
1115t7
5.7.71.
Answer.
1100
5.7.73.
Answer.
−127
5.7.75.
Answer.
y12125
5.7.77.
Answer.
1r27
5.7.79.
Answer.
r44t32

6 Radical Expressions and Equations
6.1 Square and nth Root Properties
6.1.10 Exercises

6.1.10.1.

Answer.
64, 4, 9

6.1.10.3.

6.1.10.3.a
Answer.
11
6.1.10.3.b
Answer.
6
6.1.10.3.c
Answer.
12

6.1.10.5.

6.1.10.5.a
Answer.
211
6.1.10.5.b
Answer.
not a real number

6.1.10.7.

6.1.10.7.a
Answer.
5
6.1.10.7.b
Answer.
0.5
6.1.10.7.c
Answer.
50

6.1.10.9.

6.1.10.9.a
Answer.
7
6.1.10.9.b
Answer.
70
6.1.10.9.c
Answer.
700

6.1.10.11.

6.1.10.11.a
Answer.
9
6.1.10.11.b
Answer.
0.9
6.1.10.11.c
Answer.
0.09

6.1.10.13.

Answer.
9.95

6.1.10.15.

Answer.
35

6.1.10.17.

Answer.
−6

6.1.10.19.

Answer.
not a real number

6.1.10.21.

Answer.
not a real number or 0.909091i

6.1.10.23.

Answer.
−25

6.1.10.25.

6.1.10.25.a
Answer.
1
6.1.10.25.b
Answer.
3

6.1.10.27.

Answer.
4

6.1.10.29.

Answer.
15

6.1.10.31.

Answer.
713

6.1.10.33.

Answer.
63

6.1.10.35.

Answer.
231

6.1.10.37.

Answer.
4914

6.1.10.39.

Answer.
1763

6.1.10.41.

Answer.
902

6.1.10.43.

Answer.
18

6.1.10.45.

Answer.
356

6.1.10.47.

Answer.
5213

6.1.10.49.

Answer.
−10

6.1.10.51.

Answer.
132

6.1.10.53.

Answer.
83

6.1.10.55.

Answer.
−7

6.1.10.57.

Answer.
77+85

6.1.10.59.

Answer.
52−105

6.1.10.61.

Answer.
22+10

6.1.10.63.

Answer.
187+87

6.1.10.65.

Answer.
75−547

6.1.10.67.

Answer.
84+183

6.1.10.69.

Answer.
9−45

6.1.10.71.

Answer.
24+67

6.1.10.73.

Answer.
616−806

6.1.10.75.

Answer.
36

6.1.10.77.

Answer.
−8

6.1.10.79.

Answer.
34

6.1.10.81.

Answer.
5

6.1.10.83.

Answer.
2

6.1.10.85.

Answer.
2

6.1.10.87.

Answer.
−3

6.1.10.89.

Answer.
not a real number

6.1.10.91.

Answer.
−2

6.1.10.93.

Answer.
324

6.1.10.95.

Answer.
233

6.1.10.97.

Answer.
324

6.1.10.99.

Answer.
1255

6.1.10.101.

Answer.
2593

6.1.10.103.

Answer.
2354

6.1.10.105.

Answer.
10 or −10

6.1.10.107.

Answer.
NONE

6.1.10.109.

Answer.
303

6.1.10.111.

Answer.
−413

6.1.10.113.

Answer.
34 or −34

6.1.10.115.

Answer.
NONE

6.1.10.117.

Answer.
−235

6.2 Rationalizing the Denominator
6.2.4 Exercises

6.2.4.1.

Answer.
1010

6.2.4.3.

Answer.
53

6.2.4.5.

Answer.
26

6.2.4.7.

Answer.
526

6.2.4.9.

Answer.
98

6.2.4.11.

Answer.
922

6.2.4.13.

Answer.
539

6.2.4.15.

Answer.
4153

6.2.4.17.

Answer.
158

6.2.4.19.

Answer.
322

6.2.4.21.

Answer.
3010

6.2.4.23.

Answer.
3355

6.2.4.25.

Answer.
nn

6.2.4.27.

Answer.
5530

6.2.4.29.

Answer.
16−21945

6.2.4.31.

Answer.
36−61917

6.2.4.33.

Answer.
80−1011−83+33−53

6.2.4.35.

Answer.
36−1211−35+552

6.3 Radical Expressions and Rational Exponents
6.3.4 Exercises

Review and Warmup

6.3.4.1.
Answer.
x39
6.3.4.3.
Answer.
x15
6.3.4.5.
Answer.
729x151000
6.3.4.7.
Answer.
−64t24
6.3.4.9.
Answer.
r13
6.3.4.11.
Answer.
1x7
6.3.4.13.
Answer.
36y13

Skills Practice

6.3.4.15.
Answer.
19
6.3.4.17.
Answer.
27
6.3.4.19.
Answer.
16
6.3.4.21.
Answer.
4
6.3.4.23.
Answer.
−23
6.3.4.25.
Answer.
−34
6.3.4.27.
6.3.4.27.a
Answer.
9
6.3.4.27.b
Answer.
DNE
6.3.4.27.c
Answer.
−9
6.3.4.29.
6.3.4.29.a
Answer.
2
6.3.4.29.b
Answer.
−2
6.3.4.29.c
Answer.
−2
6.3.4.31.
6.3.4.31.a
Answer.
2
6.3.4.31.b
Answer.
−2
6.3.4.31.c
Answer.
−2
6.3.4.33.
6.3.4.33.a
Answer.
2
6.3.4.33.b
Answer.
DNE
6.3.4.33.c
Answer.
−2
6.3.4.35.
Answer.
2.04767
6.3.4.37.
Answer.
9.1005
6.3.4.39.
Answer.
y18
6.3.4.41.
Answer.
(2t+9)14
6.3.4.43.
Answer.
m15
6.3.4.45.
Answer.
b−47
6.3.4.47.
Answer.
x23
6.3.4.49.
Answer.
z43
6.3.4.51.
Answer.
2r45
6.3.4.53.
Answer.
n58
6.3.4.55.
Answer.
1c27
6.3.4.57.
Answer.
2y47
6.3.4.59.
Answer.
t211
6.3.4.61.
Answer.
2m12
6.3.4.63.
Answer.
5a15
6.3.4.65.
Answer.
3x12
6.3.4.67.
Answer.
z12
6.3.4.69.
Answer.
r112
6.3.4.71.
Answer.
n58

Applications

6.3.4.73.
Answer 1.
1.49831
Answer 2.
32

6.4 Solving Radical Equations
6.4.4 Exercises

Skills Practice

6.4.4.1.
Answer.
{16}
6.4.4.3.
Answer.
{100}
6.4.4.5.
Answer.
{16}
6.4.4.7.
Answer.
no real solutions
6.4.4.9.
Answer.
{−28}
6.4.4.11.
Answer.
{1}
6.4.4.13.
Answer.
no real solutions
6.4.4.15.
Answer.
{815}
6.4.4.17.
Answer.
{520}
6.4.4.19.
Answer.
{15}
6.4.4.21.
Answer.
{−23}
6.4.4.23.
Answer.
L=8T2π2

Applications

6.4.4.25.
Answer.
19.4618 ft

Challenge

6.4.4.27.
Answer.
{14}

6.5 Radical Expressions and Equations Chapter Review
6.5.5 Exercises

6.5.5.1.

Answer.
47

6.5.5.3.

Answer.
−8

6.5.5.5.

Answer.
5

6.5.5.7.

Answer.
22

6.5.5.9.

Answer.
757

6.5.5.11.

Answer.
56

6.5.5.13.

Answer.
−2

6.5.5.15.

Answer.
97

6.5.5.17.

Answer.
4

6.5.5.19.

Answer.
−2

6.5.5.21.

Answer.
not a real number

6.5.5.23.

Answer.
226

6.5.5.25.

Answer.
1275

6.5.5.27.

Answer.
3453

6.5.5.29.

Answer.
69

6.5.5.31.

Answer.
4230

6.5.5.33.

Answer.
45−9223

6.5.5.35.

Answer.
48−67−83+21−57

6.5.5.37.

Answer.
116

6.5.5.39.

Answer.
27

6.5.5.41.

Answer.
4

6.5.5.43.

Answer.
4

6.5.5.45.

Answer.
z19

6.5.5.47.

Answer.
(3r+3)13

6.5.5.49.

Answer.
n45

6.5.5.51.

Answer.
b89

6.5.5.53.

Answer.
16x23

6.5.5.55.

Answer.
t27

6.5.5.57.

Answer.
3m43

6.5.5.59.

Answer.
5a−12

6.5.5.61.

Answer.
c43

6.5.5.63.

Answer.
12.9691 ft

7 Solving Quadratic Equations
7.1 Solving Quadratic Equations by Using a Square Root
7.1.4 Exercises

7.1.4.1.

Answer.
{9,−9}

7.1.4.3.

Answer.
{−111,111}

7.1.4.5.

Answer.
{23,−23}

7.1.4.7.

Answer.
{13,−13}

7.1.4.9.

Answer.
{−3,3}

7.1.4.11.

Answer.
{−910,910}

7.1.4.13.

Answer.
{−38,38}

7.1.4.15.

Answer.
{13319,−13319}

7.1.4.17.

Answer.
{−155,155}

7.1.4.19.

Answer.
no real solutions

7.1.4.21.

Answer.
{−3,−13}

7.1.4.23.

Answer.
{17,1}

7.1.4.25.

Answer.
{−158,78}

7.1.4.27.

Answer.
{10,6}

7.1.4.29.

Answer.
{4+47,4−47}

7.1.4.31.

Answer.
{9+72,9−72}

7.1.4.33.

Answer.
{−9+27,−9−27}

7.1.4.35.

Answer.
26

7.1.4.37.

Answer.
24

7.1.4.39.

Answer.
8.30662

7.1.4.41.

Answer.
274

7.1.4.43.

Answer.
213

7.1.4.45.

Answer 1.
37.5
Answer 2.
20

7.1.4.47.

Answer 1.
5.1
Answer 2.
2.4

7.1.4.49.

Answer.
Z2−L2

7.1.4.51.

Answer.
8.06226

7.2 The Quadratic Formula
7.2.3 Exercises

Review and Warmup

7.2.3.1.
Answer 1.
310
Answer 2.
8
Answer 3.
−5
Answer 4.
712
7.2.3.3.
Answer 1.
35
Answer 2.
−73
Answer 3.
56
Answer 4.
187
7.2.3.5.
Answer.
33
7.2.3.7.
Answer.
89
7.2.3.9.
Answer.
43
7.2.3.11.
Answer.
26

Skills Practice

7.2.3.13.
Answer.
{−3,6}
7.2.3.15.
Answer.
{12,2}
7.2.3.17.
Answer.
{−89,13}
7.2.3.19.
Answer.
no real solutions
7.2.3.21.
Answer.
{−7,13}
7.2.3.23.
Answer.
{4}
7.2.3.25.
Answer.
no real solutions
7.2.3.27.
Answer.
{−65,45}
7.2.3.29.
Answer.
{−4−23,−4+23}
7.2.3.31.
Answer.
{−12}
7.2.3.33.
Answer.
{−(−3)−3,−(−3)+3}
7.2.3.35.
Answer.
{−(−1)−−1510,−(−1)+−1510}
7.2.3.37.
Answer.
{−49}
7.2.3.39.
Answer.
{−12−11833,−12+11833}
7.2.3.41.
Answer.
{2−1210,2+1210}
7.2.3.43.
Answer.
{8.8}
7.2.3.45.
Answer.
{−6.5}
7.2.3.47.
Answer.
{−7.2,−2}
7.2.3.49.
Answer.
{0.285252,9.11475}
7.2.3.51.
Answer.
{0.558119,1.55509}
7.2.3.53.
Answer.
{−5,1}
7.2.3.55.
Answer.
{−3,7}
7.2.3.57.
Answer.
{−7,−72}
7.2.3.59.
Answer.
{−9,−43}
7.2.3.61.
Answer.
{87,4}
7.2.3.63.
Answer.
{−79,45}
7.2.3.65.
Answer.
no real solutions
7.2.3.67.
Answer.
{13,−2}
7.2.3.69.
Answer.
{−58,34}
7.2.3.71.
Answer.
{−(−3)−32,−(−3)+32}
7.2.3.73.
Answer.
no real solutions
7.2.3.75.
Answer.
{−6,57}
7.2.3.77.
Answer.
{16,52}
7.2.3.79.
Answer.
{−916−−116305,−916+−116305}
7.2.3.81.
Answer.
{−2−11,−2+11}
7.2.3.83.
Answer.
{−−116−−1613,−−116+−1613}
7.2.3.85.
Answer.
{4,9}
7.2.3.87.
Answer.
{4}
7.2.3.89.
Answer.
no real solutions
7.2.3.91.
Answer.
no real solutions
7.2.3.93.
Answer.
{−2,1}
7.2.3.95.
Answer.
{25,145}
7.2.3.97.
Answer.
{32}

Applications

7.2.3.99.
Answer.
3.84129 s
7.2.3.101.
Answer.
4.05083 s
7.2.3.103.
Answer.
10.25 ft
7.2.3.105.
Answer.
3.29885 cm
7.2.3.107.
Answer.
$48.50
7.2.3.109.
Answer.
3

Challenge

7.2.3.111.
Answer.
−n−n2−4mp2m,−n+n2−4mp2m

7.3 Complex Solutions to Quadratic Equations
7.3.5 Exercises

7.3.5.1.

Answer.
i70

7.3.5.3.

Answer.
3i3

7.3.5.5.

Answer.
3i15

7.3.5.7.

Answer.
x=9iorx=−9i

7.3.5.9.

Answer.
y=3iory=−3i

7.3.5.11.

Answer.
r=i2orr=−i2

7.3.5.13.

Answer.
t=5i2ort=(−5i)2

7.3.5.15.

Answer.
x=2+2iorx=2−2i

7.3.5.17.

Answer.
y=2+2iory=2−2i

7.3.5.19.

Answer.
r=i5−2orr=−2−i5

7.4 Solving Equations in General
7.4.5 Exercises

7.4.5.1.

Answer.
{−32}

7.4.5.3.

Answer.
{−35}

7.4.5.5.

Answer.
{−29}

7.4.5.7.

Answer.
{7,−7}

7.4.5.9.

Answer.
{4,22}

7.4.5.11.

Answer.
{11,−11}

7.4.5.13.

Answer.
{35,−35}

7.4.5.15.

Answer.
{105,−105}

7.4.5.17.

Answer.
{−6+426,−6−426}

7.4.5.19.

Answer.
{32+−123,32−−123}

7.4.5.21.

Answer.
{94+1489,94−1489}

7.4.5.23.

Answer.
{23+1319,23−1319}

7.4.5.25.

Answer.
{54+−1465,54−−1465}

7.4.5.27.

Answer.
no real solutions or no real solutions

7.4.5.29.

Answer.
{−2118}

7.4.5.31.

Answer.
no real solutions or no real solutions

7.4.5.33.

Answer.
no real solutions or no real solutions

7.4.5.35.

Answer.
{5,2}

7.4.5.37.

Answer.
b=Ah

7.4.5.39.

Answer.
l=P2−w

7.4.5.41.

Answer.
b=2Ah

7.4.5.43.

Answer.
m=y−bx

7.4.5.45.

Answer.
b=y−mx

7.4.5.47.

Answer.
h=x−y−km

7.4.5.49.

Answer.
r=c2π

7.4.5.51.

Answer.
s=A

7.4.5.53.

Answer.
r=Vπh

7.4.5.55.

Answer.
h=Vπr2

7.4.5.57.

Answer.
s=V3

7.4.5.59.

Answer.
s=S6

7.4.5.61.

Answer.
d=vt

7.4.5.63.

Answer.
t=−v−v2−2g(d−p)g,t=−v+v2−2g(d−p)g

7.4.5.65.

Answer.
m=Fa

7.4.5.67.

Answer.
v=ar

7.4.5.69.

Answer.
l=g(T2π)2

7.5 Solving Quadratic Equations Chapter Review
7.5.5 Exercises

7.5.5.1.

Answer.
{311,−311}

7.5.5.3.

Answer.
{−118,118}

7.5.5.5.

Answer.
{−6,−14}

7.5.5.7.

Answer.
{10,8}

7.5.5.9.

Answer.
20

7.5.5.11.

Answer 1.
13.5
Answer 2.
7.2

7.5.5.13.

Answer.
{4,8}

7.5.5.15.

Answer.
no real solutions

7.5.5.17.

Answer.
{−32}

7.5.5.19.

Answer.
{−9.77704,0.652038}

7.5.5.21.

Answer.
{−95,57}

7.5.5.23.

Answer.
{79,7}

7.5.5.25.

Answer.
{9}

7.5.5.27.

Answer.
3i6

7.5.5.29.

Answer.
r=i3orr=−i3

7.5.5.31.

Answer.
t=8+3iort=8−3i

7.5.5.33.

Answer.
{64}

7.5.5.35.

Answer.
{5}

7.5.5.37.

Answer.
{−1,2}

7.5.5.39.

Answer.
no solution

7.5.5.41.

Answer.
{−5−17,−5+17}

7.5.5.43.

Answer.
{−1,−3}

7.5.5.45.

Answer.
{30}

7.5.5.47.

Answer.
{77}

7.5.5.49.

Answer.
no real solutions

7.5.5.51.

Answer.
{−32,−6}

7.5.5.53.

Answer.
{12}

8 Quantities in the Physical World
8.1 Scientific Notation
8.1.6 Exercises

8.1.6.1.

Answer.
2.7×105

8.1.6.3.

Answer.
4.7×102

8.1.6.5.

Answer.
6.7×10−3

8.1.6.7.

Answer.
8.7×10−2

8.1.6.9.

Answer.
170000

8.1.6.11.

Answer.
3690

8.1.6.13.

Answer.
5.69

8.1.6.15.

Answer.
0.077

8.1.6.17.

Answer.
0.000967

8.1.6.19.

Answer.
1.8×106

8.1.6.21.

Answer.
4×108

8.1.6.23.

Answer.
1.4×109

8.1.6.25.

Answer.
5×100

8.1.6.27.

Answer.
7×102

8.1.6.29.

Answer.
2×108

8.1.6.31.

Answer.
4×106

8.1.6.33.

Answer.
7×10−9

8.1.6.35.

Answer.
9×10−8

8.1.6.37.

Answer.
1.6×1017

8.1.6.39.

Answer.
2.7×1022

8.1.6.41.

Answer.
6.4×1028

8.2 Unit Conversion
8.2.6 Exercises

8.2.6.1.

Answer.
463

8.2.6.3.

Answer.
6542

8.2.6.5.

Answer.
256

8.2.6.7.

Answer.
0.086 g

8.2.6.9.

Answer.
6.1 cc

8.2.6.11.

Answer.
51.5 dm

8.2.6.13.

Answer.
0.1805 T

8.2.6.15.

Answer.
5568.6 ha

8.2.6.17.

Answer.
9.9×106 mg

8.2.6.19.

Answer.
8.01086×10−5 MB

8.2.6.21.

Answer.
547226 b

8.2.6.23.

Answer.
3.05×10−6 m2

8.2.6.25.

Answer.
2.09088×109 ft2

8.2.6.27.

Answer.
0.0185185 yd2

8.2.6.29.

Answer.
2.47211 mi2

8.2.6.31.

Answer.
1158.57 (dm(d

8.2.6.33.

Answer.
17733.3 (acre(h

8.2.6.35.

Answer.
0.000425685 (gal(min

8.2.6.37.

Answer.
0.00354167 (lb(s

8.2.6.39.

Answer.
212.891 (Mb(s

8.2.6.41.

Answer.
0.00601875 (lb(cm3

8.2.6.43.

Answer.
10.5556 yd2

8.2.6.45.

Answer.
8.45443 gal

8.2.6.47.

Answer.
2.9059 c

8.2.6.49.

Answer.
16.5 mi

8.2.6.51.

Answer.
13.44 kg

8.2.6.53.

Answer.
13455 MB

8.3 Geometry Formulas
8.3.4 Exercises

8.3.4.1.

Answer 1.
48 m
Answer 2.
128 m2

8.3.4.3.

Answer.
1920 m

8.3.4.5.

Answer.
935 m2

8.3.4.7.

Answer 1.
192.8 in
Answer 2.
2121.6 in2

8.3.4.9.

Answer 1.
52 cm
Answer 2.
169 cm2

8.3.4.11.

Answer 1.
44 ft
Answer 2.
76 ft2

8.3.4.13.

Answer 1.
56 cm
Answer 2.
84 cm2

8.3.4.15.

Answer 1.
65 m
Answer 2.
112.5 m2

8.3.4.17.

Answer.
112

8.3.4.19.

Answer.
2.34 m2

8.3.4.21.

Answer 1.
69 ft
Answer 2.
299 ft2

8.3.4.23.

Answer 1.
42 m
Answer 2.
64 m2

8.3.4.25.

Answer 1.
56 m
Answer 2.
92 m2

8.3.4.27.

Answer.
90 m2

8.3.4.29.

Answer.
420 in2

8.3.4.31.

Answer 1.
8π m
Answer 2.
25.13 m
Answer 3.
16π m2
Answer 4.
50.27 m2

8.3.4.33.

Answer 1.
12π m
Answer 2.
37.7 m
Answer 3.
36π m2
Answer 4.
113.1 m2

8.3.4.35.

Answer 1.
45.9911 cm
Answer 2.
146.969 cm2

8.3.4.37.

Answer.
1350 in3

8.3.4.39.

Answer.
756 in3

8.3.4.41.

Answer.
125 cm3

8.3.4.43.

Answer 1.
80π m3
Answer 2.
251.33 m3

8.3.4.45.

Answer 1.
192π m3
Answer 2.
603.19 m3

8.3.4.47.

Answer 1.
200π ft3
Answer 2.
628.319 ft3

8.3.4.49.

Answer.
5832 in3

8.3.4.51.

Answer 1.
P=2(l+w)
Answer 2.
A=lw
Answer 3.
A=0.5bh
Answer 4.
c=πd, c=2πr, C=πd, or C=2πr
Answer 5.
A=πr2
Answer 6.
V=wdh, V=lwh, or V=lhd
Answer 7.
V=πr2h
Answer 8.
V=Bh

8.4 Geometry Applications
8.4.3 Exercises

8.4.3.1.

Answer 1.
18 mm
Answer 2.
9 mm

8.4.3.3.

Answer 1.
9.5493 cm
Answer 2.
4.77465 cm

8.4.3.5.

Answer 1.
8 mm
Answer 2.
4 mm

8.4.3.7.

Answer 1.
12.4141 cm
Answer 2.
6.20704 cm

8.4.3.9.

Answer.
8 m

8.4.3.11.

Answer.
29 mm

8.4.3.13.

Answer.
30 ft

8.4.3.15.

Answer.
17 m

8.4.3.17.

Answer.
96 ft

8.4.3.19.

Answer.
19 ft

8.5 Quantities in the Physical World Chapter Review
8.5.4 Exercises

8.5.4.1.

Answer.
1.1×104

8.5.4.3.

Answer.
3.1×10−2

8.5.4.5.

Answer.
509

8.5.4.7.

Answer.
7.09

8.5.4.9.

Answer.
0.0907

8.5.4.11.

Answer.
4×108

8.5.4.13.

Answer.
4×106

8.5.4.15.

Answer.
4.96 pt

8.5.4.17.

Answer.
0.620625 lb

8.5.4.19.

Answer.
14616 h

8.5.4.21.

Answer.
0.0028 m3

8.5.4.23.

Answer.
8 (m(d

8.5.4.25.

Answer.
0.0162917 (g(h

8.5.4.27.

Answer.
20.8889 yd2

8.5.4.29.

Answer.
8.23333 mi

8.5.4.31.

Answer 1.
48 m
Answer 2.
128 m2

8.5.4.33.

Answer.
935 m2

8.5.4.35.

Answer 1.
44 ft
Answer 2.
76 ft2

8.5.4.37.

Answer.
14770

8.5.4.39.

Answer 1.
42 m
Answer 2.
64 m2

8.5.4.41.

Answer.
11025 in2

8.5.4.43.

Answer 1.
45.9911 cm
Answer 2.
146.969 cm2

8.5.4.45.

Answer.
729 cm3

8.5.4.47.

Answer 1.
72π ft3
Answer 2.
226.195 ft3

8.5.4.49.

Answer 1.
P=2(l+w)
Answer 2.
A=lw
Answer 3.
A=0.5bh
Answer 4.
c=πd, c=2πr, C=πd, or C=2πr
Answer 5.
A=πr2
Answer 6.
V=wdh, V=lwh, or V=lhd
Answer 7.
V=πr2h
Answer 8.
V=Bh

8.5.4.51.

Answer 1.
13.0507 cm
Answer 2.
6.52535 cm

8.5.4.53.

Answer.
8 m

8.5.4.55.

Answer.
17 m

8.5.4.57.

Answer.
15 ft

9 Topics in Graphing
9.1 Review of Graphing
9.1.4 Exercises

9.1.4.1.

Answer 1.
(0,2)
Answer 2.
(−4,−1)
Answer 3.
(−2,−3)
Answer 4.
(3,0)

9.1.4.3.

Answer.
a Cartesian plot with the points labeled;(8,2) is right 8, up 2;(5,5) is right 5, up 5;(-3,0) is left 3, up 0;(2,-6) is right 2, down 6

9.1.4.5.

Answer.
−1;−12;0;0;1;12;2;24;3;36

9.1.4.7.

Answer.
−1;−8;0;2;1;12;2;22;3;32

9.1.4.9.

Answer.
−5;−25;0;−6;5;13;10;32;15;51

9.1.4.11.

Answer.
−3;4;0;−1;3;−6;6;−11;9;−16

9.1.4.13.

Answer.
x y=2x+3 Point
−2 −1 (−2,−1)
−1 1 (−1,1)
0 3 (0,3)
1 5 (1,5)
2 7 (2,7)

9.1.4.15.

Answer.
x y=43x Point
−3 −4 (−3,−4)
0 0 (0,0)
3 4 (3,4)

9.1.4.17.

Answer.
x y=x2+1 Point
−2 5 (−2,5)
−1 2 (−1,2)
0 1 (0,1)
1 2 (1,2)
2 5 (2,5)

9.1.4.19.

Answer 1.
0
Answer 2.
5
Answer 3.
(0,5)
Answer 4.
6
Answer 5.
0
Answer 6.
(6,0)

9.1.4.21.

Answer 1.
0
Answer 2.
24
Answer 3.
(0,24)
Answer 4.
−21
Answer 5.
0
Answer 6.
(−21,0)

9.1.4.23.

Answer.
x-intercept: (2,0)
y-intercept: (0,−5)

9.1.4.25.

Answer.
x-intercept: (−15,0)
y-intercept: (0,−3)

9.1.4.27.

Answer.

9.1.4.29.

Answer.

9.2 Key Features of Quadratic Graphs
9.2.6 Exercises

9.2.6.1.

Answer 1.
6
Answer 2.
(−2,6)
Answer 3.
5
Answer 4.
(−1,5)
Answer 5.
4
Answer 6.
(0,4)
Answer 7.
3
Answer 8.
(1,3)
Answer 9.
2
Answer 10.
(2,2)

9.2.6.3.

Answer 1.
−12
Answer 2.
(−16,−12)
Answer 3.
−7
Answer 4.
(−8,−7)
Answer 5.
−2
Answer 6.
(0,−2)
Answer 7.
3
Answer 8.
(8,3)
Answer 9.
8
Answer 10.
(16,8)

9.2.6.5.

Answer.
2

9.2.6.7.

Answer.
176

9.2.6.9.

Answer 1.
x=−2
Answer 2.
(−2,17)

9.2.6.11.

Answer 1.
x=−5
Answer 2.
(−5,78)

9.2.6.13.

Answer 1.
x=−2
Answer 2.
(−2,2)

9.2.6.15.

Answer 1.
x=−1
Answer 2.
(−1,−4)

9.2.6.17.

Answer 1.
x=0
Answer 2.
(0,4)

9.2.6.19.

Answer 1.
x=32
Answer 2.
(32,12)

9.2.6.21.

Answer 1.
x=−0.5
Answer 2.
(−0.5,4.5)

9.2.6.23.

Answer 1.
x=0
Answer 2.
(−0,0)

9.2.6.25.

Answer 1.
x=0
Answer 2.
(−0,1)

9.2.6.27.

Answer 1.
x=1
Answer 2.
(−(−1),3)

9.2.6.45.

Answer 1.
−3,3
Answer 2.
−9

9.2.6.47.

Answer 1.
0.5,−2
Answer 2.
−1

9.2.6.49.

Answer 1.
245 ft
Answer 2.
122.5 ft
Answer 3.
30012.5 ft2

9.2.6.51.

Answer 1.
200 ft
Answer 2.
100 ft
Answer 3.
20000 ft2

9.2.6.53.

Answer 1.
56 ft
Answer 2.
42 ft
Answer 3.
2352 ft2

9.2.6.55.

Answer 1.
36.8 ft
Answer 2.
23 ft
Answer 3.
846.4 ft2

9.2.6.57.

Answer 1.
$54,675.00
Answer 2.
$405.00
Answer 3.
$225.00
Answer 4.
$585.00

9.3 Graphing Quadratic Expressions
9.3.6 Exercises

9.3.6.1.

Answer.
{−10,−9}

9.3.6.3.

Answer.
{3}

9.3.6.5.

Answer.
{2,−2}

9.3.6.7.

Answer.
{173947,−173947}

9.3.6.9.

Answer.
{4−273,4+273}

9.3.6.11.

Answer.
no real solutions

9.3.6.13.

Answer 1.
(0,8)
Answer 2.
(−2,0),(−4,0)

9.3.6.15.

Answer 1.
(0,−25)
Answer 2.
(5,0),(−5,0)

9.3.6.17.

Answer 1.
(0,0)
Answer 2.
(0,0),(3,0)

9.3.6.19.

Answer 1.
(0,25)
Answer 2.
(5,0)

9.3.6.21.

Answer 1.
(0,3)
Answer 2.
DNE

9.3.6.23.

Answer 1.
(0,5)
Answer 2.
DNE

9.3.6.25.

Answer 1.
(0,3)
Answer 2.
(−0.458619,0),(−6.54138,0)

9.3.6.27.

Answer 1.
(0,7)
Answer 2.
(−0.678175,0),(−10.3218,0)

9.3.6.29.

Answer 1.
(0,49)
Answer 2.
(−3.5,0)

9.3.6.31.

Answer 1.
(0,−15)
Answer 2.
(−2.5,0),(−3,0)

9.3.6.53.

Answer 1.
15 s
Answer 2.
3600 ft
Answer 3.
30 s
Answer 4.
2816 ft
Answer 5.
7 s
Answer 6.
23 s

9.3.6.55.

Answer 1.
25 s
Answer 2.
3162.5 m
Answer 3.
50.4049 s
Answer 4.
2569.6 m
Answer 5.
22 s
Answer 6.
28 s

9.3.6.57.

Answer.
will

9.3.6.59.

Answer.
will

9.3.6.61.

Answer 1.
0.408163
Answer 2.
20

9.3.6.63.

Answer 1.
$130.00
Answer 2.
$180.00

9.3.6.65.

Answer 1.
(−n−n2−4p2,0),(−n+n2−4p2,0)
Answer 2.
(0,p)
Answer 3.
(−n2,4p−n24)

9.4 Graphically Solving Equations and Inequalities
9.4.4 Exercises

9.4.4.1.

Answer.
two times

9.4.4.3.

Answer.
one time

9.4.4.5.

Answer.
two times

9.4.4.7.

Answer.
two times

9.4.4.9.

Answer 1.
(−6,5),(2,5)
Answer 2.
{−6,2}
Answer 3.
(−∞,−6)∪(2,∞)

9.4.4.11.

Answer 1.
(−2.5,−5),(4,−5)
Answer 2.
{−2.5,4}
Answer 3.
(−2.5,4)

9.4.4.13.

Answer 1.
(−2,3),(2,−1)
Answer 2.
{−2,2}
Answer 3.
(−∞,−2)∪(2,∞)

9.4.4.15.

Answer 1.
(−2,−2),(0,0),(2,2)
Answer 2.
{−2,0,2}
Answer 3.
(−2,0)∪(2,∞)

9.4.4.17.

Answer 1.
(−3,1),(5,3)
Answer 2.
{−3,5}
Answer 3.
(−3,5)

9.4.4.19.

Answer 1.
(−2,−2),(0,0)
Answer 2.
{−2,0}
Answer 3.
(−∞,−2)∪(0,∞)

9.5 Topics in Graphing Chapter Review
9.5.5 Exercises

9.5.5.1.

Answer.
−1;14;0;0;1;−14;2;−28;3;−42

9.5.5.3.

Answer.
−7;−18;0;−2;7;14;14;30;21;46

9.5.5.5.

Answer.
x y=2x+3 Point
−2 −1 (−2,−1)
−1 1 (−1,1)
0 3 (0,3)
1 5 (1,5)
2 7 (2,7)

9.5.5.7.

Answer 1.
0
Answer 2.
−18
Answer 3.
(0,−18)
Answer 4.
−21
Answer 5.
0
Answer 6.
(−21,0)

9.5.5.9.

Answer.
x-intercept: (−18,0)
y-intercept: (0,15)

9.5.5.11.

Answer 1.
x=4
Answer 2.
(4,−62)

9.5.5.13.

Answer 1.
x=5
Answer 2.
(5,21)

9.5.5.15.

Answer 1.
x=0
Answer 2.
(0,3)

9.5.5.17.

Answer 1.
x=2.5
Answer 2.
(2.5,9.5)

9.5.5.19.

Answer 1.
x=0
Answer 2.
(−0,−5)

9.5.5.29.

Answer 1.
−5,5
Answer 2.
−25

9.5.5.31.

Answer 1.
(0,20)
Answer 2.
(−4,0),(−5,0)

9.5.5.33.

Answer 1.
(0,1)
Answer 2.
(−1,0)

9.5.5.35.

Answer 1.
(0,2)
Answer 2.
(−0.298438,0),(−6.70156,0)

9.5.5.37.

Answer 1.
(0,−3)
Answer 2.
(−0.6,0),(−1,0)

9.5.5.49.

Answer 1.
10 s
Answer 2.
1600 ft
Answer 3.
20 s
Answer 4.
1200 ft
Answer 5.
1 s
Answer 6.
19 s

9.5.5.51.

Answer 1.
0.650954
Answer 2.
15.6756

9.5.5.53.

Answer.
two times

9.5.5.55.

Answer.
zero times

9.5.5.57.

Answer 1.
(−6,5),(2,5)
Answer 2.
{−6,2}
Answer 3.
(−∞,−6)∪(2,∞)

9.5.5.59.

Answer 1.
(−2,3),(2,−1)
Answer 2.
{−2,2}
Answer 3.
(−∞,−2)∪(2,∞)

9.5.5.61.

Answer 1.
(−3,1),(5,3)
Answer 2.
{−3,5}
Answer 3.
(−3,5)

III Preparation for College Algebra
10 Factoring
10.1 Factoring Out the Common Factor
10.1.7 Exercises

10.1.7.1.

Answer.
7x2+56x

10.1.7.3.

Answer.
−12x2−4x

10.1.7.5.

Answer.
−5x3+20x2

10.1.7.7.

Answer.
14y4−35y3

10.1.7.9.

Answer.
9 or −9

10.1.7.11.

Answer.
3t or −(3t)

10.1.7.13.

Answer.
6x3 or −6x3

10.1.7.15.

Answer.
9y14 or −9y14

10.1.7.17.

Answer.
2r6 or −2r6

10.1.7.19.

Answer.
8x12y4 or −8x12y4

10.1.7.21.

Answer.
8(x+1)

10.1.7.23.

Answer.
2(x−1)

10.1.7.25.

Answer.
−4(y+1)

10.1.7.27.

Answer.
7(r−6)

10.1.7.29.

Answer.
10(8t2+5)

10.1.7.31.

Answer.
9(6x2+9x+7)

10.1.7.33.

Answer.
8y2(6y2−10y+7)

10.1.7.35.

Answer.
10r3(6r2+3r+7)

10.1.7.37.

Answer.
7t(4+5t+3t2)

10.1.7.39.

Answer.
prime

10.1.7.41.

Answer.
4y(x+1)

10.1.7.43.

Answer.
6y7(x5−2)

10.1.7.45.

Answer.
5x3y4(10x2+x+4)

10.1.7.47.

Answer.
5x3y10z2(6x2z2+5xz+3)

10.2 Factoring by Grouping
10.2.4 Exercises

10.2.4.1.

Answer.
−10(y+1)

10.2.4.3.

Answer.
4(r+9)

10.2.4.5.

Answer.
6(5t2−7)

10.2.4.7.

Answer.
(x−9)(x−8)

10.2.4.9.

Answer.
(x−4)(y−5)

10.2.4.11.

Answer.
(7x−6)(x+y)

10.2.4.13.

Answer.
(8t8+1)(10t−3)

10.2.4.15.

Answer.
6x2(x−20)(6x2−7x+10)

10.2.4.17.

Answer.
(x−3)(x+5)

10.2.4.19.

Answer.
(y−7)(y−8)

10.2.4.21.

Answer.
(r2−2)(r−10)

10.2.4.23.

Answer.
(t2−6)(t−5)

10.2.4.25.

Answer.
(x+10)(y+3)

10.2.4.27.

Answer.
(x−9)(y+5)

10.2.4.29.

Answer.
(7x+9y)(x−6y)

10.2.4.31.

Answer.
(9x+2y)(x+y)

10.2.4.33.

Answer.
(x3+2)(1+4y)

10.2.4.35.

Answer.
(x3−4)(1−3y)

10.2.4.37.

Answer.
2y2(y+3)(5y2+2y+3)

10.3 Factoring Trinomials with Leading Coefficient One
10.3.7 Exercises

10.3.7.1.

Answer.
t2+8t+7

10.3.7.3.

Answer.
x2−2x−24

10.3.7.5.

Answer.
y2−11y+28

10.3.7.7.

Answer.
3x2+15x+18

10.3.7.9.

Answer.
−4y2+40y−36

10.3.7.11.

Answer.
(t+6)(t+9)

10.3.7.13.

Answer.
(x+9)(x+7)

10.3.7.15.

Answer.
(y−2)(y+6)

10.3.7.17.

Answer.
(r−5)(r+1)

10.3.7.19.

Answer.
(t−8)(t−2)

10.3.7.21.

Answer.
(x−1)(x−10)

10.3.7.23.

Answer.
(y+4)(y+9)

10.3.7.25.

Answer.
(r+7)(r+9)

10.3.7.27.

Answer.
(t−10)(t+3)

10.3.7.29.

Answer.
(t−3)(t+8)

10.3.7.31.

Answer.
(x−6)(x−2)

10.3.7.33.

Answer.
(y−10)(y−6)

10.3.7.35.

Answer.
prime

10.3.7.37.

Answer.
prime

10.3.7.39.

Answer.
(x+10)(x+10)

10.3.7.41.

Answer.
(y+2)(y+2)

10.3.7.43.

Answer.
(r−6)(r−6)

10.3.7.45.

Answer.
(t−9)(t−9)

10.3.7.47.

Answer.
2(t+6)(t−1)

10.3.7.49.

Answer.
4(x+4)(x−2)

10.3.7.51.

Answer.
6(y−3)(y−1)

10.3.7.53.

Answer.
2(r−1)(r−7)

10.3.7.55.

Answer.
2t7(t+4)(t+1)

10.3.7.57.

Answer.
2x4(x+3)(x+5)

10.3.7.59.

Answer.
2y6(y−3)(y+7)

10.3.7.61.

Answer.
3r7(r−5)(r+1)

10.3.7.63.

Answer.
2t5(t−4)(t−2)

10.3.7.65.

Answer.
2t5(t−1)(t−2)

10.3.7.67.

Answer.
−(x−1)(x+2)

10.3.7.69.

Answer.
−(y+4)(y−7)

10.3.7.71.

Answer.
(r+t)(r+5t)

10.3.7.73.

Answer.
(t+6r)(t−5r)

10.3.7.75.

Answer.
(x−6y)(x−y)

10.3.7.77.

Answer.
(y+4r)(y+4r)

10.3.7.79.

Answer.
(r−2t)(r−2t)

10.3.7.81.

Answer.
5(r+2)(r+1)

10.3.7.83.

Answer.
5y(x+1)(x+2)

10.3.7.85.

Answer.
2b(a+3)(a−6)

10.3.7.87.

Answer.
2y(x−3)(x−5)

10.3.7.89.

Answer.
6xy(x+2)(x+1)

10.3.7.91.

Answer.
x2(y+9z)(y−2z)

10.3.7.93.

Answer.
(x+0.2)(x+0.9)

10.3.7.95.

Answer.
(yt+4)(yt+5)

10.3.7.97.

Answer.
(rt−7)(rt+1)

10.3.7.99.

Answer.
(rt−4)(rt−7)

10.3.7.101.

Answer.
4(ty+4)(ty+1)

10.3.7.103.

Answer.
2(xr−1)(xr+9)

10.3.7.105.

Answer.
2y(xy−6)(xy−2)

10.3.7.107.

Answer.
(a+b)(r+2)(r+9)

10.3.7.109.

Answer.
−17,17,−7,7,−3,3

10.4 Factoring Trinomials with a Nontrivial Leading Coefficient
10.4.4 Exercises

10.4.4.1.

Answer.
8t2+22t+9

10.4.4.3.

Answer.
20x2−29x+6

10.4.4.5.

Answer.
8y2+13y−6

10.4.4.7.

Answer.
2r5+10r3+6r2+30

10.4.4.9.

Answer.
(3t+5)(t+1)

10.4.4.11.

Answer.
(5x−3)(x+4)

10.4.4.13.

Answer.
(5y−2)(y−3)

10.4.4.15.

Answer.
prime

10.4.4.17.

Answer.
(4r+9)(r+2)

10.4.4.19.

Answer.
(8t+3)(t−3)

10.4.4.21.

Answer.
(6x−1)(x−1)

10.4.4.23.

Answer.
(2y+1)(3y+7)

10.4.4.25.

Answer.
(5r+1)(4r−3)

10.4.4.27.

Answer.
(2t−1)(2t−5)

10.4.4.29.

Answer.
6(2x+1)(x+1)

10.4.4.31.

Answer.
5(2y−5)(y+1)

10.4.4.33.

Answer.
6(2r−1)(r−2)

10.4.4.35.

Answer.
4r3(2r+3)(r+1)

10.4.4.37.

Answer.
8t2(3t−1)(t+1)

10.4.4.39.

Answer.
2x7(5x−1)(x−3)

10.4.4.41.

Answer.
(5yx+4)(yx+2)

10.4.4.43.

Answer.
(2rt+5)(rt−5)

10.4.4.45.

Answer.
(2ty−1)(ty−4)

10.4.4.47.

Answer.
(5x+7y)(x+y)

10.4.4.49.

Answer.
(5y+9x)(y−x)

10.4.4.51.

Answer.
(5y−6t)(y−2t)

10.4.4.53.

Answer.
(8r+5x)(r+x)

10.4.4.55.

Answer.
(8t+9y)(t−y)

10.4.4.57.

Answer.
(6x−7r)(x−r)

10.4.4.59.

Answer.
(4y+t)(2y+3t)

10.4.4.61.

Answer.
(2r+3y)(3r−5y)

10.4.4.63.

Answer.
(3t−2r)(5t−2r)

10.4.4.65.

Answer.
3(3xt+1)(xt+3)

10.4.4.67.

Answer.
7(2yx−1)(yx+2)

10.4.4.69.

Answer.
2y2(5yr−8)(yr−1)

10.4.4.71.

Answer.
3(2x+y)(x+4y)

10.4.4.73.

Answer.
2(2a−b)(a+6b)

10.4.4.75.

Answer.
5(2x−3y)(x−y)

10.4.4.77.

Answer.
3y(2x+y)(x+4y)

10.4.4.79.

Answer.
5(y+7)(5x+1)(x+1)

10.4.4.81.

Answer.
3(y+1)(2x+1)(x+4)

10.4.4.83.

Answer 1.
(2x+7)(x+3)
Answer 2.
(2y+9)(y+4)

10.4.4.85.

Answer.
13,−13,8,−8,7,−7

10.5 Factoring Special Polynomials
10.5.5 Exercises

10.5.5.1.

Answer.
36r2+96r+64

10.5.5.3.

Answer.
t2−4t+4

10.5.5.5.

Answer.
x12−18x6+81

10.5.5.7.

Answer.
y2−1

10.5.5.9.

Answer.
25r2−64

10.5.5.11.

Answer.
4t6−144

10.5.5.13.

Answer.
(x+5)(x−5)

10.5.5.15.

Answer.
(9y+8)(9y−8)

10.5.5.17.

Answer.
(yt+6)(yt−6)

10.5.5.19.

Answer.
(4ry+11)(4ry−11)

10.5.5.21.

Answer.
(2+t)(2−t)

10.5.5.23.

Answer.
(12+11x)(12−11x)

10.5.5.25.

Answer.
(y2+10)(y2−10)

10.5.5.27.

Answer.
(7r2+8)(7r2−8)

10.5.5.29.

Answer.
(t5+10)(t5−10)

10.5.5.31.

Answer.
(2x2+7y2)(2x2−7y2)

10.5.5.33.

Answer.
(x3+6y5)(x3−6y5)

10.5.5.35.

Answer.
(y+9)(y+9)

10.5.5.37.

Answer.
(r−1)(r−1)

10.5.5.39.

Answer.
(5t+1)(5t+1)

10.5.5.41.

Answer.
(8x−1)(8x−1)

10.5.5.43.

Answer.
(5yt−1)(5yt−1)

10.5.5.45.

Answer.
(r+2x)(r+2x)

10.5.5.47.

Answer.
(t−12r)(t−12r)

10.5.5.49.

Answer.
(3x+5t)(3x+5t)

10.5.5.51.

Answer.
(2x−9r)(2x−9r)

10.5.5.53.

Answer.
(2y−3)(2y+3)(4y2+9)

10.5.5.55.

Answer.
3(r+5)(r−5)

10.5.5.57.

Answer.
3t(t+1)(t−1)

10.5.5.59.

Answer.
5xy2(xy+3)(xy−3)

10.5.5.61.

Answer.
8(3+y)(3−y)

10.5.5.63.

Answer.
2(3r+1)(3r+1)

10.5.5.65.

Answer.
3(3ty+1)(3ty+1)

10.5.5.67.

Answer.
9(2x−1)(2x−1)

10.5.5.69.

Answer.
x2(11x+1)(11x+1)

10.5.5.71.

Answer.
y8(4y−1)(4y−1)

10.5.5.73.

Answer.
2r8(6r+1)(6r+1)

10.5.5.75.

Answer.
9t6(2t−1)(2t−1)

10.5.5.77.

Answer.
12(x−1)(x+1)(x2+1)

10.5.5.79.

Answer.
prime

10.5.5.81.

Answer.
2r(r2+4)

10.5.5.83.

Answer.
t(0.1+t)(0.1−t)

10.5.5.85.

Answer.
555(-333)

10.6 Factoring Strategies
10.6.3 Exercises

10.6.3.15.

Answer.
3(r+1)

10.6.3.17.

Answer.
8(9t2+5)

10.6.3.19.

Answer.
8x(9+6x+2x2)

10.6.3.21.

Answer.
10x3y4(9x2+10x+6)

10.6.3.23.

Answer.
(x−5)(y−6)

10.6.3.25.

Answer.
(t−7)(t+10)

10.6.3.27.

Answer.
(2tx−5)(tx+1)

10.6.3.29.

Answer.
(4x+1)(x−4)

10.6.3.31.

Answer.
(2y−9)(3y−1)

10.6.3.33.

Answer.
(3r−2t)(r−3t)

10.6.3.35.

Answer.
(3t+8x)(2t+x)

10.6.3.37.

Answer.
2(3x−5)(x+2)

10.6.3.39.

Answer.
10y6(2y+1)(y+1)

10.6.3.41.

Answer.
2(2x+9y)(x+y)

10.6.3.43.

Answer.
(t+4)(t+8)

10.6.3.45.

Answer.
(t+6r)(t+2r)

10.6.3.47.

Answer.
(x−4t)(x−3t)

10.6.3.49.

Answer.
7(y−4)(y+1)

10.6.3.51.

Answer.
9r8(r−1)(r−2)

10.6.3.53.

Answer.
9y(x−2)(x−1)

10.6.3.55.

Answer.
x2(y−z)(y+8z)

10.6.3.57.

Answer.
(y+7)(y−7)

10.6.3.59.

Answer.
(5+r)(5−r)

10.6.3.61.

Answer.
(t3+3)(t3−3)

10.6.3.63.

Answer.
(2t−1)(2t+1)(4t2+1)

10.6.3.65.

Answer.
prime

10.6.3.67.

Answer.
(y+1)(y+1)

10.6.3.69.

Answer.
(r−5)(r−5)

10.6.3.71.

Answer.
(t+5r)(t+5r)

10.6.3.73.

Answer.
5(4xt+1)(4xt+1)

10.6.3.75.

Answer.
2y7(4y+1)(4y+1)

10.6.3.77.

Answer.
5(r−2)(r+2)(r2+4)

10.7 Solving Quadratic Equations by Factoring
10.7.5 Exercises

10.7.5.1.

Answer.
6(t−3)

10.7.5.3.

Answer.
(x+9)(x−3)

10.7.5.5.

Answer.
(2y−5)(y−1)

10.7.5.7.

Answer.
3(5r2+3r+6)

10.7.5.9.

Answer.
(10r2+3)(10r2−3)

10.7.5.11.

Answer.
{−12,11}

10.7.5.13.

Answer.
{7,−18}

10.7.5.15.

Answer.
{−5,−7}

10.7.5.17.

Answer.
{−3,10}

10.7.5.19.

Answer.
{2,8}

10.7.5.21.

Answer.
{11,−2}

10.7.5.23.

Answer.
{5,−9}

10.7.5.25.

Answer.
{−6,−2}

10.7.5.27.

Answer.
{−5,10}

10.7.5.29.

Answer.
{1,3}

10.7.5.31.

Answer.
{0,7}

10.7.5.33.

Answer.
{0,2}

10.7.5.35.

Answer.
{0,−47}

10.7.5.37.

Answer.
{11}

10.7.5.39.

Answer.
{1}

10.7.5.41.

Answer.
{−511}

10.7.5.43.

Answer.
{−35,−8}

10.7.5.45.

Answer.
{−5,5}

10.7.5.47.

Answer.
{−710,710}

10.7.5.49.

Answer.
{−113,113}

10.7.5.51.

Answer.
{3,−2}

10.7.5.53.

Answer.
{14,−10}

10.7.5.55.

Answer.
{−3,−5}

10.7.5.57.

Answer.
{1,2}

10.7.5.59.

Answer.
{5}

10.7.5.61.

Answer.
{−103}

10.7.5.63.

Answer.
{−8,−10,5}

10.7.5.65.

Answer.
{−10,10,0}

10.7.5.67.

Answer.
{0,7,−2}

10.7.5.69.

Answer.
−6,9

10.7.5.71.

Answer 1.
8 cm
Answer 2.
13 cm

10.7.5.73.

Answer 1.
5 in
Answer 2.
13 in

10.7.5.75.

Answer.
3 ft

10.7.5.77.

Answer.
(x−3)∗(x−−9)∗(x−2/3)=0

10.8 Factoring Chapter Review
10.8.8 Exercises

10.8.8.1.

Answer.
5y or −(5y)

10.8.8.3.

Answer.
8r10 or −8r10

10.8.8.5.

Answer.
8x5y4 or −8x5y4

10.8.8.7.

Answer.
6(6x2+x+9)

10.8.8.9.

Answer.
prime

10.8.8.11.

Answer.
(r+10)(r−2)

10.8.8.13.

Answer.
(t−6)(t+4)

10.8.8.15.

Answer.
(x2−10)(x−6)

10.8.8.17.

Answer.
(x+2)(y+4)

10.8.8.19.

Answer.
(6x+7y)(x+7y)

10.8.8.21.

Answer.
(r+5)(r+1)

10.8.8.23.

Answer.
(t+8)(t−10)

10.8.8.25.

Answer.
prime

10.8.8.27.

Answer.
(y−5)(y−5)

10.8.8.29.

Answer.
3(r−4)(r−2)

10.8.8.31.

Answer.
−(t−2)(t+2)

10.8.8.33.

Answer.
(x+y)(x−8y)

10.8.8.35.

Answer.
(y−2r)(y−7r)

10.8.8.37.

Answer.
(5y+4)(y−2)

10.8.8.39.

Answer.
prime

10.8.8.41.

Answer.
(5t−1)(2t−5)

10.8.8.43.

Answer.
3(2x−1)(x−4)

10.8.8.45.

Answer.
9y5(2y−1)(y−1)

10.8.8.47.

Answer.
5(3ry−4)(ry+2)

10.8.8.49.

Answer.
2(5x+7y)(x+y)

10.8.8.51.

Answer.
(x+1)(x−1)

10.8.8.53.

Answer.
(4y+5)(4y−5)

10.8.8.55.

Answer.
(y5+8)(y5−8)

10.8.8.57.

Answer.
(12r−1)(12r−1)

10.8.8.59.

Answer.
(5t−7x)(5t−7x)

10.8.8.61.

Answer.
(2x−3)(2x+3)(4x2+9)

10.8.8.63.

Answer.
2y(y+2)(y−2)

10.8.8.65.

Answer.
5r2x2(rx+1)(rx−1)

10.8.8.67.

Answer.
3(6+t)(6−t)

10.8.8.69.

Answer.
prime

10.8.8.73.

Answer.
4y(8+4y+5y2)

10.8.8.75.

Answer.
(2r−7y)(4r−y)

10.8.8.77.

Answer.
(8t+3y)(8t+3y)

10.8.8.79.

Answer.
(5x+3y)(3x+2y)

10.8.8.81.

Answer.
(2y−1)(2y+1)(4y2+1)

10.8.8.83.

Answer.
{−2,9}

10.8.8.85.

Answer.
{−8,−3}

10.8.8.87.

Answer.
{0,10}

10.8.8.89.

Answer.
{3}

10.8.8.91.

Answer.
{−23,−3}

10.8.8.93.

Answer 1.
4 in
Answer 2.
11 in

11 Functions
11.1 Function Basics
11.1.5 Exercises

11.1.5.1.

Answer 1.
(0,4)
Answer 2.
(3,2)
Answer 3.
(−2,1)
Answer 4.
(−4,0)

11.1.5.3.

Answer.
13

11.1.5.5.

Answer 1.
18
Answer 2.
36

11.1.5.7.

Answer 1.
−1
Answer 2.
−7
Answer 3.
−3

11.1.5.9.

Answer 1.
6
Answer 2.
−12
Answer 3.
0

11.1.5.11.

Answer 1.
8
Answer 2.
14
Answer 3.
10

11.1.5.13.

Answer 1.
−2
Answer 2.
5
Answer 3.
2

11.1.5.15.

Answer 1.
27
Answer 2.
6
Answer 3.
2

11.1.5.17.

Answer 1.
−5
Answer 2.
−5
Answer 3.
−1

11.1.5.19.

Answer 1.
−5
Answer 2.
−5
Answer 3.
−5

11.1.5.21.

Answer 1.
−926
Answer 2.
−25

11.1.5.23.

Answer 1.
3
Answer 2.
undefined

11.1.5.25.

Answer 1.
3
Answer 2.
9

11.1.5.27.

Answer 1.
1
Answer 2.
19

11.1.5.29.

Answer 1.
−27
Answer 2.
−51

11.1.5.31.

Answer 1.
9
Answer 2.
32
Answer 3.
not a real number

11.1.5.33.

Answer 1.
−5
Answer 2.
15

11.1.5.35.

Answer 1.
−1
Answer 2.
−1

11.1.5.37.

Answer 1.
{−2}
Answer 2.
{−25}

11.1.5.39.

Answer 1.
{4,−4}
Answer 2.
no real solutions

11.1.5.41.

Answer.
{2,1}

11.1.5.43.

Answer 1.
−7
Answer 2.
{−73}

11.1.5.45.

Answer 1.
−7
Answer 2.
{7,−7}

11.1.5.47.

Answer 1.
−50
Answer 2.
{5,−10}

11.1.5.49.

Answer 1.
(7,10)
Answer 2.
3

11.1.5.51.

Answer.
(t,r)

11.1.5.53.

Answer.
y

11.1.5.57.

Answer 1.
3.5
Answer 2.
0.5

11.1.5.59.

Answer 1.
−1
Answer 2.
0

11.1.5.61.

Answer 1.
0
Answer 2.
−9

11.1.5.63.

Answer 1.
5
Answer 2.
{2,−3}

11.1.5.65.

Answer 1.
−3
Answer 2.
{0}

11.1.5.67.

Answer 1.
1
Answer 2.
{−2,0}

11.1.5.69.

Answer 1.
−1.9
Answer 2.
0.2

11.1.5.71.

Answer.
−2;−8;−1;−2;0;0;1;−2;2;−8

11.1.5.73.

Answer 1.
0
Answer 2.
1
Answer 3.
4
Answer 4.
9
Answer 5.
16
Answer 6.
G(x)=x2

11.1.5.75.

Answer 1.
−8
Answer 2.
−5
Answer 3.
−2
Answer 4.
1
Answer 5.
4
Answer 6.
K(x)=3x−8

11.1.5.77.

Answer 1.
19
Answer 2.
263
Answer 3.
73
Answer 4.
0
Answer 5.
53
Answer 6.
223
Answer 7.
17

11.1.5.79.

Answer 1.
52
Answer 2.
43
Answer 3.
34
Answer 4.
25
Answer 5.
16
Answer 6.
0
Answer 7.
−18

11.1.5.81.

Answer.
Note that M(t) tells us the amount of money, in dollars, in the account t months after the account was initially setup. Thus M(20)=115 must tell us that after 20 months, the account will have 115 dollars.

11.1.5.83.

Answer.
Note that G(x) tells us the oxygen concentration, as a percentage, when the salinity is at x percent. Thus G(35)=87.75 must tell us that the oxygen concentration is 87.75% when the salinity is 35%.

11.1.5.85.

Answer.
D

11.1.5.87.

Answer.
D

11.1.5.89.

Answer.
f(x)=3.1536×107x

11.1.5.91.

Answer 1.
M(x)=x5280
Answer 2.
2.65152
Answer 3.
14000

11.1.5.93.

Answer.
f(t)=0.16t+2.7

11.1.5.95.

Answer.
f(x)=10x

11.1.5.97.

Answer 1.
s(2.3)
Answer 2.
166.47 mi
Answer 3.
v(t)=61
Answer 4.
214 mi

11.1.5.101.

Answer 1.
8
Answer 2.
D
Answer 3.
3,7
Answer 4.
C

11.1.5.103.

Answer 1.
(b,a)
Answer 2.
(d,e)
Answer 3.
a
Answer 4.
x=d
Answer 5.
x=h

11.2 Domain and Range
11.2.5 Exercises

11.2.5.1.

Answer 1.
{c∣c>−2.5}
Answer 2.
(−2.5,∞)

11.2.5.3.

Answer 1.
{k∣k≥−0.5}
Answer 2.
[−0.5,∞)

11.2.5.5.

Answer.
(1,4)

11.2.5.7.

Answer.
(−∞,−5)∪(−3,∞)

11.2.5.9.

Answer 1.
{−7,−1,0}
Answer 2.
{4,5}

11.2.5.11.

Answer 1.
[−3,1)
Answer 2.
(0,4]

11.2.5.13.

Answer 1.
[−4,3)
Answer 2.
{4}

11.2.5.15.

Answer 1.
(−5,2)
Answer 2.
[3,19)

11.2.5.17.

Answer 1.
(−∞,3)∪(3,∞)
Answer 2.
(−∞,1)∪(1,∞)

11.2.5.19.

Answer 1.
(−∞,−2)∪(−2,∞)
Answer 2.
(−∞,3)

11.2.5.21.

Answer 1.
(−∞,∞)
Answer 2.
[−2,∞)

11.2.5.23.

Answer 1.
[−2,2)
Answer 2.
[−5,5]

11.2.5.25.

Answer 1.
[1,7]
Answer 2.
[−4,0]

11.2.5.27.

Answer 1.
(−∞,∞)
Answer 2.
[−3,∞)

11.2.5.29.

Answer 1.
[0,∞)
Answer 2.
[0,∞)

11.2.5.31.

Answer 1.
(−∞,2]
Answer 2.
[1,∞)

11.2.5.33.

Answer 1.
[−2,7]
Answer 2.
[−1,2]

11.2.5.35.

Answer 1.
(0,5]
Answer 2.
(−4,−1]∪(1,3]

11.2.5.37.

Answer.
(−∞,∞)

11.2.5.39.

Answer.
(−∞,∞)

11.2.5.41.

Answer.
(−∞,∞)

11.2.5.43.

Answer.
(−∞,1)∪(1,∞)

11.2.5.45.

Answer.
(−∞,79)∪(79,∞)

11.2.5.47.

Answer.
(−∞,−9)∪(−9,5)∪(5,∞)

11.2.5.49.

Answer.
(−∞,−4)∪(−4,0)∪(0,∞)

11.2.5.51.

Answer.
(−∞,−9)∪(−9,9)∪(9,∞)

11.2.5.53.

Answer.
(−∞,−97)(−97,97)∪(97,∞)

11.2.5.55.

Answer.
(−∞,∞)

11.2.5.57.

Answer.
(1,∞)

11.2.5.59.

Answer.
(−∞,10]

11.2.5.61.

Answer.
[−49,∞)

11.2.5.63.

Answer.
(−∞,−12)∪(−12,12)∪(12,∞)

11.2.5.65.

Answer.
(−∞,−6)∪(−6,3)∪(3,∞)

11.2.5.67.

Answer.
[−11,2)∪(2,∞)

11.2.5.69.

Answer 1.
[0,28] or [0,∞)
Answer 2.
[0,8400]

11.2.5.71.

Answer 1.
[0,250]
Answer 2.
[0,10]

11.2.5.73.

Answer 1.
[11,56]
Answer 2.
[210,1335]

11.2.5.75.

Answer 1.
[0,180]
Answer 2.
[2.8,74.8]

11.2.5.77.

Answer 1.
[0,32]
Answer 2.
[0,4096]

11.2.5.79.

Answer 1.
[0,20.1] or [0,∞)
Answer 2.
[0,545.382]

11.2.5.81.

Answer 1.
[0,200]
Answer 2.
[0,20000]

11.2.5.83.

Answer.
  1. the set of all possible student identification numbers at that particular school
  2. the set of all first names of students who attend that school

11.3 Using Technology to Explore Functions
11.3.5 Exercises

11.3.5.1.

Answer.
−2;16;−1;6;0;−2;1;−8;2;−12;3;−14;4;−14

11.3.5.3.

Answer.
−2;360.8;−1;200.45;0;47;1;−99.55;2;−239.2;3;−371.95;4;−497.8

11.3.5.5.

Answer.
−2;−408;−1;−257;0;−64;1;129;2;280;3;347;4;288

11.3.5.7.

Answer.
[−0.93,0.05];[−500,8800]

11.3.5.9.

Answer.
[−0.3,4.1];[−690,40]

11.3.5.11.

Answer.
[−2.8,4.1];[−300,3900]

11.3.5.13.

Answer.
[−33,40];[−0.02,0.38]

11.3.5.15.

Answer.
two times

11.3.5.17.

Answer.
one time

11.3.5.19.

Answer.
zero times

11.3.5.21.

Answer.
two times

11.3.5.23.

Answer 1.
(−0.873,0),(6.873,0),(0,2.4)
Answer 2.
(3,6)
Answer 3.
(−∞,∞)
Answer 4.
(−∞,6]

11.3.5.25.

Answer 1.
(0,4)
Answer 2.
(−0.00166667,3.99167)
Answer 3.
(−∞,∞)
Answer 4.
[3.99167,∞)

11.3.5.27.

Answer 1.
(0.0035,0),(0,1.1025)
Answer 2.
(0.0035,0)
Answer 3.
(−∞,∞)
Answer 4.
[0,∞)

11.3.5.29.

Answer 1.
(−10,50),(15,25)
Answer 2.
{−10,15}
Answer 3.
(−∞,−10)∪(15,∞)
Answer 4.
[−10,15]

11.3.5.31.

Answer 1.
(−2,5),(0.75,5)
Answer 2.
{−2,0.75}
Answer 3.
(−2,0.75)
Answer 4.
(−∞,−2]∪[0.75,∞)

11.3.5.33.

Answer 1.
(−6,10),(−0.5,21)
Answer 2.
{−6,−0.5}
Answer 3.
(−6,−0.5)
Answer 4.
(−∞,−6]∪[−0.5,∞)

11.3.5.35.

Answer.
{−3.25,2}

11.3.5.37.

Answer.
{−10,20}

11.3.5.39.

Answer.
{−1.5,0,1.5}

11.3.5.41.

Answer.
{−23.162,−16.838}

11.3.5.43.

Answer.
no real solutions

11.3.5.45.

Answer.
(−∞,−2)∪(−0.5,∞)

11.3.5.47.

Answer.
[0,1.1]

11.3.5.49.

Answer.
(−6.37228,−0.627719)

11.3.5.51.

Answer.
(−∞,0.090098]∪[1.1099,∞) or (−∞,0.09]∪[1.1099,∞)

11.3.5.53.

Answer.
(−∞,∞)

11.4 Simplifying Expressions with Function Notation
11.4.4 Exercises

11.4.4.1.

Answer.
3c+21

11.4.4.3.

Answer.
−6c+36

11.4.4.5.

Answer.
3t2+48t+192

11.4.4.7.

Answer.
4x2+28x+49

11.4.4.9.

Answer.
y+11

11.4.4.11.

Answer.
8−6r

11.4.4.13.

Answer.
−0.9t−4.4

11.4.4.15.

Answer.
−29x+−9554

11.4.4.17.

Answer.
−3x+4

11.4.4.19.

Answer.
4.5y

11.4.4.21.

Answer.
−405r2−18r−1

11.4.4.23.

Answer.
6t2−3t−1

11.4.4.25.

Answer.
−42x2−7x−21

11.4.4.27.

Answer.
−1.6y2−6.2y+3.4

11.4.4.29.

Answer.
−8r2−2r+1

11.4.4.31.

Answer.
−x−10

11.4.4.33.

Answer.
−3+7x+1

11.4.4.35.

Answer.
−3x−12+−6x−27

11.4.4.37.

Answer.
−35z+26

11.4.4.39.

Answer.
−2s−48s2−1

11.4.4.41.

Answer 1.
−9x+4
Answer 2.
−9x−66
Answer 3.
−63x−21
Answer 4.
−63x−3

11.4.4.43.

Answer 1.
2x2−4x−5
Answer 2.
2x2−24x+70
Answer 3.
−10x2+20x
Answer 4.
50x2+20x

11.4.4.45.

Answer.
π(12t−0.3t2)2 ft2

11.4.4.47.

Answer.
25600−51200t+2

11.5 Technical Definition of a Function
11.5.4 Exercises

11.5.4.1.

Answer 1.
describes
Answer 2.
{−10,0}
Answer 3.
{8,10}
Answer 4.
describes
Answer 5.
{−9,−8,1}
Answer 6.
{3,6}
Answer 7.
describes
Answer 8.
{−9,−7,−1,4}
Answer 9.
{0,7,8,9}
Answer 10.
does not describe
Answer 11.
{−8,−7,−6,−3}
Answer 12.
{2,5,9,10}

11.5.4.3.

Answer 1.
does not describe
Answer 2.
{−7,−5,6,8}
Answer 3.
{0,5,6,10}

11.5.4.5.

Answer 1.
{(0,5),(2,−3),(3,−3)}
Answer 2.
{0,2,3}
Answer 3.
{−3,5}

11.5.4.7.

Answer 1.
does not
Answer 2.
does not

11.5.4.9.

Answer 1.
does
Answer 2.
does not

11.5.4.11.

Answer 1.
yes
Answer 2.
None, the table represents a function.

11.5.4.13.

Answer 1.
no
Answer 2.
-3

11.5.4.15.

Answer.
Yes, this table does make the outputs a function of the inputs because there are no repeated inputs.

11.5.4.17.

Answer.
No, this table does not make the outputs a function of the inputs because the input −2 is repeated and it corresponds to two different outputs, 7 and 6.
To fix this, you need to either change one of the −2’s into a different number from all the other inputs, or change both 7 and 6 into the same number so that −2 only corresponds to one value.

11.6 Functions Chapter Review
11.6.6 Exercises

11.6.6.1.

Answer.
A

11.6.6.3.

Answer 1.
7
Answer 2.
undefined

11.6.6.5.

Answer 1.
1
Answer 2.
0

11.6.6.7.

Answer 1.
0.5
Answer 2.
0.8

11.6.6.9.

Answer.
−2;20;−1;5;0;0;1;5;2;20

11.6.6.11.

Answer 1.
3
Answer 2.
A
Answer 3.
2,8
Answer 4.
B

11.6.6.13.

Answer 1.
(−∞,−1)∪(−1,∞)
Answer 2.
(−∞,−1)∪(−1,∞)

11.6.6.15.

Answer 1.
[−3,6]
Answer 2.
[−2,2]

11.6.6.17.

Answer 1.
(−∞,∞)
Answer 2.
[0,∞)

11.6.6.19.

Answer.
[−20,3)∪(3,∞)

11.6.6.21.

Answer 1.
[0,24]
Answer 2.
[0,2304]

11.6.6.23.

Answer.
−2;42;−1;20;0;4;1;−6;2;−10;3;−8;4;0

11.6.6.25.

Answer.
[−0.17,0.01];[−1200,100]

11.6.6.27.

Answer.
two times

11.6.6.29.

Answer 1.
(0,4)
Answer 2.
(−0.00166667,3.99167)
Answer 3.
(−∞,∞)
Answer 4.
[3.99167,∞)

11.6.6.31.

Answer 1.
(−2,5),(0.75,5)
Answer 2.
{−2,0.75}
Answer 3.
(−2,0.75)
Answer 4.
(−∞,−2]∪[0.75,∞)

11.6.6.33.

Answer.
no real solutions

11.6.6.35.

Answer.
(−∞,∞)

11.6.6.37.

Answer 1.
−5x2−5x−2
Answer 2.
−5x2+15x−10
Answer 3.
10x2+10x
Answer 4.
−20x2+10x

11.6.6.39.

Answer.
−2−6x

11.6.6.41.

Answer.
42y2−21y−49

11.6.6.43.

Answer 1.
describes
Answer 2.
{−5,2,3,4,6}
Answer 3.
{1,8,9,10}

11.6.6.45.

Answer 1.
{(−1,4),(1,0),(3,−4)}
Answer 2.
{−1,1,3}
Answer 3.
{−4,0,4}

11.6.6.47.

Answer 1.
does not
Answer 2.
does

11.6.6.51.

Answer 1.
yes
Answer 2.
None, the table represents a function.

11.6.6.53.

Answer 1.
no
Answer 2.
-3

12 Rational Functions and Equations
12.1 Introduction to Rational Functions
12.1.3 Exercises

12.1.3.1.

Answer 1.
310
Answer 2.
236
Answer 3.
14
Answer 4.
230

12.1.3.3.

Answer 1.
3
Answer 2.
54

12.1.3.7.

Answer.
(−∞,−4)∪(−4,∞)

12.1.3.9.

Answer.
(−∞,1)∪(1,10)∪(10,∞)

12.1.3.11.

Answer.
(−∞,−9)∪(−9,0)∪(0,∞)

12.1.3.13.

Answer.
(−∞,−7)∪(−7,7)∪(7,∞)

12.1.3.15.

Answer.
(−∞,0)∪(0,∞)

12.1.3.17.

Answer.
(−∞,∞)

12.1.3.19.

Answer.
(−∞,9)∪(9,∞)

12.1.3.21.

Answer.
(−∞,−1)∪(−1,∞)

12.1.3.23.

Answer.
(−∞,−3)∪(−3,5)∪(5,∞)

12.1.3.25.

Answer 1.
(−∞,2)∪(2,∞)
Answer 2.
(−∞,−3)∪(−3,∞)

12.1.3.27.

Answer 1.
(−∞,3)∪(3,∞)
Answer 2.
(−∞,−1)

12.1.3.29.

Answer.
315

12.1.3.31.

Answer.
350

12.1.3.33.

Answer 1.
0.796974
Answer 2.
0.8,6.27

12.1.3.35.

Answer.
0

12.2 Multiplication and Division of Rational Expressions
12.2.5 Exercises

12.2.5.1.

Answer.
−6514

12.2.5.3.

Answer.
36133

12.2.5.5.

Answer.
1225

12.2.5.7.

Answer.
−328

12.2.5.9.

Answer.
(t+6)(t−6)

12.2.5.11.

Answer.
(x+8)(x+7)

12.2.5.13.

Answer.
(y−1)(y−6)

12.2.5.15.

Answer.
2(r−2)(r−7)

12.2.5.17.

Answer.
8r6(r+1)(r+2)

12.2.5.19.

Answer.
(12t−1)(12t−1)

12.2.5.21.

Answer 1.
1,x≠−4
Answer 2.
1,x≠−4
Answer 3.
1,x≠4
Answer 4.
−1,x≠4

12.2.5.25.

Answer.
1r−5,r≠−9

12.2.5.27.

Answer.
−10t−9,t≠3

12.2.5.29.

Answer.
−x+6,x≠3

12.2.5.31.

Answer.
−9,y≠8

12.2.5.33.

Answer.
−3r+2,r≠0

12.2.5.35.

Answer.
−rr+5,r≠3

12.2.5.37.

Answer.
−tt+5,t≠5

12.2.5.39.

Answer.
xx−3,x≠1

12.2.5.41.

Answer.
−2y+36y−5,y≠−1

12.2.5.43.

Answer.
−r−4r−3,(−∞,∞)

12.2.5.45.

Answer.
−t+6t+5,t≠5

12.2.5.47.

Answer.
−2x−56x+5,x≠−1

12.2.5.49.

Answer.
−y3y+2,y≠−1

12.2.5.51.

Answer.
r−5r−6,r≠2 and r≠0

12.2.5.53.

Answer.
r2+2r+4r+2,r≠2

12.2.5.55.

Answer.
−tyty+5

12.2.5.57.

Answer.
6x+5t

12.2.5.59.

Answer.
−y+5xy−6x

12.2.5.61.

Answer.
−3ry−52ry+3

12.2.5.63.

Answer.
1t+9,t≠−4

12.2.5.65.

Answer.
x−3x−8,x≠−3 and x≠0

12.2.5.67.

Answer.
y−55y+2,y≠5 and y≠0

12.2.5.69.

Answer.
rr+3,r≠−0.2 and r≠0

12.2.5.73.

Answer 1.
−t7t+4,(−∞,∞)
Answer 2.
−tt+4,t≠0

12.2.5.75.

Answer.
5(x−2),x≠−5 and x≠4

12.2.5.77.

Answer.
y2(y+2)(y+9),y≠2 and y≠4

12.2.5.79.

Answer.
−3(r−1)7r(r+5),r≠4 and r≠1

12.2.5.81.

Answer.
−t−12(9t−8),t≠−0.888889 and t≠0.571429 and t≠0

12.2.5.83.

Answer.
14x3(x+8),(−∞,∞)

12.2.5.85.

Answer.
4y5,y≠0

12.2.5.87.

Answer.
15,y≠−(−2)

12.2.5.89.

Answer.
−1r−3,r≠2.66667 and r≠−2.66667

12.2.5.91.

Answer.
t2(t−3),t≠0 and t≠−2 and t≠3

12.2.5.93.

Answer.
4x+9x−8,x≠0

12.2.5.95.

Answer.
c+68(c−6),c≠0 and c≠−6

12.2.5.97.

Answer.
x(x+1)(x−2)(x−4),x≠−2 and x≠−4 and x≠−1

12.2.5.99.

Answer.
4(t+x)3t+x

12.2.5.101.

Answer.
2x53y

12.2.5.103.

Answer.
3(y+5t)

12.2.5.105.

Answer.
2x5

12.2.5.107.

Answer.
r+3yr2

12.2.5.109.

Answer.
1t2(t−6r)

12.2.5.111.

Answer.
x3(xt−3)

12.2.5.113.

Answer.
3x2(y−3x)y

12.2.5.115.

Answer.
4t5

12.2.5.117.

Answer.
9n310

12.2.5.119.

Answer.
1x+25

12.3 Addition and Subtraction of Rational Expressions
12.3.5 Exercises

12.3.5.1.

Answer.
43

12.3.5.3.

Answer.
2615

12.3.5.5.

Answer.
38

12.3.5.7.

Answer.
−536

12.3.5.9.

Answer.
(x+1)(x−1)

12.3.5.11.

Answer.
(y+4)(y+3)

12.3.5.13.

Answer.
(y−7)(y−2)

12.3.5.15.

Answer.
2(r−5)(r−1)

12.3.5.17.

Answer.
6,t≠−4

12.3.5.19.

Answer.
5,x≠−1

12.3.5.21.

Answer.
−1y+5,y≠7

12.3.5.23.

Answer.
−1r+4,r≠6

12.3.5.25.

Answer.
3t4,(−∞,∞)

12.3.5.27.

Answer.
−x−16(x+6)(x+4),(−∞,∞)

12.3.5.29.

Answer.
5x−9(x−3)(x+3),(−∞,∞)

12.3.5.31.

Answer.
1y+1,y≠1

12.3.5.33.

Answer.
1r−2,r≠−2

12.3.5.35.

Answer.
−4t−2,t≠−2

12.3.5.37.

Answer.
−4x+1,x≠1

12.3.5.39.

Answer.
y−6y,y≠9

12.3.5.41.

Answer.
r+6r,r≠8

12.3.5.43.

Answer.
3t+1,t≠1

12.3.5.45.

Answer.
−6xx+4,x≠−5

12.3.5.47.

Answer.
−6xx−2,x≠5

12.3.5.49.

Answer.
2y−5,y≠0

12.3.5.51.

Answer.
−5r+23r−4,(−∞,∞)

12.3.5.53.

Answer.
−18(t−10)(t+6)(t−6),(−∞,∞)

12.3.5.55.

Answer.
2x−5r

12.3.5.57.

Answer.
−5y8t

12.3.5.59.

Answer.
−6r2−20y15ry2, 2(−3r2−10y)15ry2, or −2(3r2+10y)15ry2

12.3.5.61.

Answer.
−5tx+3

12.3.5.63.

Answer.
−2xx−3y

12.4 Complex Fractions
12.4.3 Exercises

12.4.3.1.

Answer 1.
454
Answer 2.
xyrt

12.4.3.3.

Answer 1.
454
Answer 2.
536

12.4.3.5.

Answer.
6445

12.4.3.7.

Answer.
3

12.4.3.9.

Answer.
9x−2x+7,x≠0

12.4.3.11.

Answer.
c+210(c−2),c≠0 and c≠−2

12.4.3.13.

Answer.
5s+1s(s+9),(−∞,∞)

12.4.3.15.

Answer.
4t(t−1)6t−1,t≠0 and t≠1

12.4.3.17.

Answer.
9(2y−9)−y+14,y≠5

12.4.3.19.

Answer.
−c−6(2c+3)(c−2),c≠−2

12.4.3.21.

Answer.
3(s+4)(4s+15)(s−4),s≠−4

12.4.3.23.

Answer.
−10(q−2)(q−2)2q−3,q≠1 and q≠2

12.4.3.25.

Answer.
5t2+6t−5t−9,t≠−1 and t≠1

12.4.3.27.

Answer.
(z−1)(z+36)(z+6)(z−6),z≠−36

12.4.3.29.

Answer.
5b6

12.4.3.31.

Answer.
t3

12.4.3.33.

Answer 1.
tyx
Answer 2.
txy

12.4.3.35.

Answer.
4t(12−x) or 412t−tx

12.4.3.37.

Answer.
t+4x5t+x

12.5 Solving Rational Equations
12.5.5 Exercises

12.5.5.1.

Answer.
{8}

12.5.5.3.

Answer.
{−6}

12.5.5.5.

Answer.
{5}

12.5.5.7.

Answer.
{13,3}

12.5.5.9.

Answer.
{4,−3}

12.5.5.11.

Answer.
{−1,−10}

12.5.5.15.

Answer.
{−9}

12.5.5.17.

Answer.
{6}

12.5.5.19.

Answer.
{−2}

12.5.5.21.

Answer.
{63}

12.5.5.23.

Answer.
{6}

12.5.5.25.

Answer.
{−37120}

12.5.5.27.

Answer.
{6}

12.5.5.29.

Answer.
{9}

12.5.5.31.

Answer.
no real solutions

12.5.5.33.

Answer.
no real solutions

12.5.5.35.

Answer.
{154,32}

12.5.5.37.

Answer.
{−(−4)}

12.5.5.39.

Answer.
{3,−6}

12.5.5.41.

Answer.
{−2,−5}

12.5.5.43.

Answer.
{41}

12.5.5.45.

Answer.
{30}

12.5.5.47.

Answer.
{1}

12.5.5.49.

Answer.
{1,−9}

12.5.5.51.

Answer.
y=bp

12.5.5.53.

Answer.
C=yp

12.5.5.55.

Answer.
a=q2

12.5.5.57.

Answer.
t=3A−4

12.5.5.59.

Answer.
{−2.38333,0.457872}

12.5.5.61.

Answer.
{−1.53677,1.22187}

12.5.5.63.

Answer.
{−0.607409,0.828675,3.17873}

12.5.5.65.

Answer.
4.2

12.5.5.67.

Answer 1.
17
Answer 2.
127.5

12.5.5.69.

Answer 1.
15
Answer 2.
10

12.5.5.71.

Answer.
18.5

12.5.5.73.

Answer.
45

12.5.5.75.

Answer.
22.7283 hr

12.5.5.77.

Answer.
3.29315 (mi(hr

12.5.5.79.

Answer.
255.217 (mi(hr

12.5.5.81.

Answer 1.
54.59 hr
Answer 2.
66.59 hr

12.6 Rational Functions and Equations Chapter Review
12.6.6 Exercises

12.6.6.1.

Answer 1.
(−∞,−1)∪(−1,∞)
Answer 2.
(−∞,1)∪(1,∞)

12.6.6.3.

Answer 1.
350
Answer 2.
444
Answer 3.
12
Answer 4.
450

12.6.6.5.

Answer 1.
3
Answer 2.
55

12.6.6.7.

Answer 1.
2.45
Answer 2.
1.84

12.6.6.9.

Answer.
−x−3tx−4t

12.6.6.11.

Answer.
y−35y+1,y≠3 and y≠0

12.6.6.13.

Answer.
r2(r+2)(r−5),r≠2 and r≠4

12.6.6.15.

Answer.
−1t+1,t≠1.6 and t≠−1.6

12.6.6.17.

Answer.
x3(xr+1)

12.6.6.19.

Answer.
1y+2,y≠2

12.6.6.21.

Answer.
−3rr−6,r≠5

12.6.6.23.

Answer.
3r−4,r≠0

12.6.6.25.

Answer.
18t2−20x415tx5, 2(9t2−10x4)15tx5, or −2(−9t2+10x4)15tx5

12.6.6.27.

Answer.
−xx+5r

12.6.6.29.

Answer 1.
83
Answer 2.
yxtr

12.6.6.31.

Answer.
−2(3q−4)(q−4)2q−5,q≠1 and q≠4

12.6.6.33.

Answer.
−2t2+3t+327t+4,t≠−4 and t≠4

12.6.6.35.

Answer.
5y6

12.6.6.37.

Answer.
3y(12−x) or 312y−yx

12.6.6.39.

Answer.
{−18}

12.6.6.41.

Answer.
{−(−7)}

12.6.6.43.

Answer.
{83,−1}

12.6.6.45.

Answer.
{6,−2}

12.6.6.47.

Answer.
B=3b−5

12.6.6.51.

Answer 1.
22
Answer 2.
99

12.6.6.53.

Answer 1.
30
Answer 2.
45

13 Graphs and Equations
13.1 Overview of Graphing
13.1.7 Exercises

13.1.7.1.

Answer.
x y=2x+3 Point
−2 −1 (−2,−1)
−1 1 (−1,1)
0 3 (0,3)
1 5 (1,5)
2 7 (2,7)

13.1.7.3.

Answer.
x y=−25x−3 Point
−5 −1 (−5,−1)
0 −3 (0,−3)
5 −5 (5,−5)

13.1.7.5.

Answer.

13.1.7.7.

Answer.

13.1.7.9.

Answer.

13.1.7.11.

Answer.

13.1.7.13.

Answer.

13.1.7.15.

Answer.
x-intercept: (2,0)
y-intercept: (0,−5)

13.1.7.17.

Answer.
x-intercept: (−15,0)
y-intercept: (0,−3)

13.1.7.19.

Answer.

13.1.7.21.

Answer.

13.1.7.23.

Answer.
x y=−3x2 Point
−2 −12 (−2,−12)
−1 −3 (−1,3)
0 0 (0,0)
1 −3 (1,−3)
2 −12 (2,−12)

13.1.7.25.

Answer.
x y=12x3−x Point
−2 −2 (−2,−2)
−1 12 (−1,12)
0 0 (0,0)
1 −12 (1,−12)
2 2 (2,2)

13.1.7.27.

Answer.
x y=x+5 Point
−2 1.73… (−2,1.73…)
−1 2 (−1,2)
0 2.23… (0,2.23…)
1 2.44… (1,2.44…)
2 2.64… (2,2.64…)

13.2 Quadratic Graphs and Vertex Form
13.2.6 Exercises

13.2.6.1.

Answer.
r2−4r−45

13.2.6.3.

Answer.
8t2+30t−50

13.2.6.5.

Answer.
(x+1)(x+9)

13.2.6.7.

Answer.
2(y+9)(y+1)

13.2.6.9.

Answer 1.
{q∣q≥1}
Answer 2.
[1,∞)

13.2.6.11.

Answer 1.
{y∣y>3}
Answer 2.
(3,∞)

13.2.6.13.

Answer.
−2;6;−1;1;0;−2;1;−3;2;−2;3;1;4;6

13.2.6.15.

Answer.
−2;5;−1;4;0;1;1;−4;2;−11;3;−20;4;−31

13.2.6.17.

Answer.
−2;30;−1;14;0;4;1;0;2;2;3;10;4;24

13.2.6.19.

Answer.
−2;24;−1;23;0;26;1;33;2;44;3;59;4;78

13.2.6.29.

Answer 1.
(−0.5,−1.5)
Answer 2.
(0,−1)
Answer 3.
(−1.36603,0),(0.366025,0)
Answer 4.
(−∞,∞)
Answer 5.
[−1.5,∞)
Answer 6.
−1
Answer 7.
{−2.15831,1.15831}
Answer 8.
(−∞,−2.15831)∪(1.15831,∞)

13.2.6.31.

Answer 1.
(0.5,−1.3)
Answer 2.
(0,−0.9)
Answer 3.
(−0.401388,0),(1.40139,0)
Answer 4.
(−∞,∞)
Answer 5.
[−1.3,∞)
Answer 6.
18.3
Answer 7.
{−1.13936,2.13936}
Answer 8.
[−1.13936,2.13936]

13.2.6.33.

Answer 1.
(3.6,−2.88)
Answer 2.
(0,3.6)
Answer 3.
(1.2,0),(6,0)
Answer 4.
(−∞,∞)
Answer 5.
[−2.88,∞)
Answer 6.
−2.7
Answer 7.
{0.4759,6.7241}
Answer 8.
(−∞,0.4759]∪[6.7241,∞)

13.2.6.35.

Answer.
150 ft

13.2.6.37.

Answer.
450

13.2.6.39.

Answer.
6.16591

13.2.6.41.

Answer.
13

13.2.6.43.

Answer.
120,120

13.2.6.45.

Answer.
(8,−6)

13.2.6.47.

Answer.
(−6,−10)

13.2.6.49.

Answer.
(0.2,7.4)

13.2.6.51.

Answer.
(x−3)2−3

13.2.6.53.

Answer.
−3(x−1)2+3

13.2.6.55.

Answer.
−2(x−4)2−1

13.2.6.57.

Answer.
f(x)=−9(x−4)2+−6

13.2.6.59.

Answer.
f(x)=−5(x−−9)2+3

13.2.6.61.

Answer 1.
(−∞,∞)
Answer 2.
[7,∞)

13.2.6.63.

Answer 1.
(−∞,∞)
Answer 2.
[1,∞)

13.2.6.65.

Answer 1.
(−∞,∞)
Answer 2.
[9,∞)

13.2.6.67.

Answer 1.
(−∞,∞)
Answer 2.
(−∞,−23]

13.2.6.69.

Answer 1.
(−∞,∞)
Answer 2.
(−∞,−49]

13.2.6.71.

Answer 1.
2;right
Answer 2.
7;up

13.2.6.73.

Answer 1.
61;right
Answer 2.
66;down

13.2.6.75.

Answer 1.
38;right
Answer 2.
79;up

13.2.6.77.

Answer 1.
x2−4x+3
Answer 2.
(x−1)(x−3)

13.2.6.79.

Answer 1.
x2−8x−65
Answer 2.
(x+5)(x−13)

13.2.6.81.

Answer 1.
(0,−8)
Answer 2.
(4,0),(−2,0)

13.2.6.83.

Answer 1.
(0,−288)
Answer 2.
(4,0),(−9,0)

13.2.6.85.

Answer 1.
(0,0)
Answer 2.
(0,0),(9,0)

13.2.6.87.

Answer 1.
(0,−48)
Answer 2.
(−4,0)

13.2.6.89.

Answer 1.
(0,18)
Answer 2.
(16,0),(94,0)

13.3 Completing the Square
13.3.6 Exercises

13.3.6.1.

Answer.
{7,−9}

13.3.6.3.

Answer.
{78,−118}

13.3.6.5.

Answer.
{6+10,6−10}

13.3.6.7.

Answer.
{12,−4}

13.3.6.9.

Answer.
{118,38}

13.3.6.11.

Answer.
{−9+142,−9−142}

13.3.6.13.

Answer.
{−2,6}

13.3.6.15.

Answer.
{3,4}

13.3.6.17.

Answer.
{−5−26,−5+26}

13.3.6.19.

Answer.
{7,9}

13.3.6.21.

Answer.
{−7,2}

13.3.6.23.

Answer.
{−5−15,−5+15}

13.3.6.25.

Answer.
{−2,−43}

13.3.6.27.

Answer.
{−32−125,−32+125}

13.3.6.29.

Answer 1.
f(t)=(t+2)2−3
Answer 2.
(−2,−3)

13.3.6.31.

Answer 1.
g(x)=(x−32)2−214
Answer 2.
(32,−214)

13.3.6.33.

Answer 1.
F(y)=3(y+32)2−234
Answer 2.
(−32,−234)

13.3.6.35.

Answer 1.
(−∞,∞)
Answer 2.
[5,∞)

13.3.6.37.

Answer 1.
(−∞,∞)
Answer 2.
(−∞,−10]

13.3.6.39.

Answer 1.
(−∞,∞)
Answer 2.
[−3,∞)

13.3.6.41.

Answer 1.
(−∞,∞)
Answer 2.
(−∞,3]

13.3.6.63.

Answer.
−496

13.3.6.65.

Answer.
−23132

13.3.6.67.

Answer.
(−∞,414]

13.3.6.69.

Answer.
[23,∞)

13.3.6.71.

Answer.
110.781 ft

13.4 Absolute Value Equations
13.4.5 Exercises

13.4.5.1.

Answer.
{90}

13.4.5.3.

Answer.
{−5}

13.4.5.5.

Answer.
{(−7/2)}

13.4.5.7.

Answer 1.
4x=8
Answer 2.
4x=−8
Answer 3.
{2,−2}

13.4.5.9.

Answer 1.
0.2r=3
Answer 2.
0.2r=9
Answer 3.
{15,45}

13.4.5.13.

Answer.
{−29,−49}

13.4.5.15.

Answer.
{−232,152}

13.4.5.17.

Answer.
{−4,4}

13.4.5.19.

Answer.
{−8,18}

13.4.5.21.

Answer.
{−9,2}

13.4.5.23.

Answer.
{−1,2}

13.4.5.25.

Answer.
no real solutions

13.4.5.27.

Answer.
{−4}

13.4.5.29.

Answer.
{−103,143}

13.4.5.31.

Answer.
{−12,−8}

13.4.5.33.

Answer.
{372,−232}

13.4.5.35.

Answer.
{−9,7}

13.4.5.37.

Answer.
{1}

13.4.5.39.

Answer.
no real solutions

13.4.5.41.

Answer.
no real solutions

13.4.5.43.

Answer.
{−2}

13.4.5.45.

Answer.
{32,14}

13.4.5.47.

Answer.
{−32}

13.4.5.49.

Answer.
{111,1}

13.4.5.51.

Answer.
{−13,−111}

13.4.5.53.

Answer.
[4,8]

13.5 Solving Mixed Equations
13.5.4 Exercises

13.5.4.1.

Answer.
{49}

13.5.4.3.

Answer.
{1}

13.5.4.5.

Answer.
{−8,1}

13.5.4.7.

Answer.
no solution

13.5.4.9.

Answer.
{−12−123,−12+123}

13.5.4.11.

Answer.
{1−5,1+5}

13.5.4.13.

Answer.
{−1,2}

13.5.4.15.

Answer.
{−3,2}

13.5.4.17.

Answer.
{6,0}

13.5.4.19.

Answer.
{72}

13.5.4.21.

Answer.
{62}

13.5.4.23.

Answer.
{−8,4}

13.5.4.25.

Answer.
{−4,0}

13.5.4.27.

Answer.
{−4,−10}

13.5.4.29.

Answer.
{−8}

13.5.4.31.

Answer.
{0,−5}

13.5.4.33.

Answer.
no real solutions

13.5.4.35.

Answer.
no real solutions

13.5.4.37.

Answer.
{−2,16}

13.5.4.39.

Answer.
{−34,−10}

13.5.4.41.

Answer.
{2}

13.5.4.43.

Answer.
{−68}

13.5.4.45.

Answer.
{−7,9}

13.6 Compound Inequalities
13.6.7 Exercises

13.6.7.1.

Answer 1.
{k∣k>0}
Answer 2.
(0,∞)

13.6.7.3.

Answer 1.
{t∣t≥2}
Answer 2.
[2,∞)

13.6.7.5.

Answer 1.
{x∣x<−1}
Answer 2.
(−∞,−1)

13.6.7.7.

Answer 1.
{x∣x≤−2}
Answer 2.
(−∞,−2]

13.6.7.9.

Answer 1.
{x∣x≥0}
Answer 2.
[0,∞)

13.6.7.11.

Answer 1.
{t∣t<3}
Answer 2.
(−∞,3)

13.6.7.13.

Answer 1.
is not
Answer 2.
is
Answer 3.
is
Answer 4.
is not

13.6.7.15.

Answer.
(−10,6]

13.6.7.17.

Answer.
(−∞,−8)∪[9,∞)

13.6.7.19.

Answer.
(−∞,2]

13.6.7.21.

Answer.
[5,∞)

13.6.7.23.

Answer.
[−1,8)

13.6.7.25.

Answer.
[1,6)

13.6.7.27.

Answer.
[0,5)

13.6.7.29.

Answer.
[66.2,111.2]

13.6.7.31.

Answer.
(−∞,−1.9)∪(0.6875,∞)

13.6.7.33.

Answer.
(−∞,0.666667]

13.6.7.35.

Answer.
(0.714286,∞)

13.6.7.37.

Answer.
(−∞,−15]∪(0,∞)

13.6.7.39.

Answer 1.
{x∣3<x<21}
Answer 2.
(3,21)

13.6.7.41.

Answer 1.
{x∣−12<x≤12}
Answer 2.
(−12,12]

13.6.7.43.

Answer 1.
16−10x
Answer 2.
[−74,16]

13.7 Solving Inequalities Graphically
13.7.5 Exercises

13.7.5.1.

Answer 1.
{c∣c>−1}
Answer 2.
(−1,∞)

13.7.5.3.

Answer 1.
{k∣k≥1}
Answer 2.
[1,∞)

13.7.5.5.

Answer 1.
(0,4)
Answer 2.
(−0.00166667,3.99167)
Answer 3.
(−∞,∞)
Answer 4.
[3.99167,∞)

13.7.5.7.

Answer 1.
(0.0035,0),(0,1.1025)
Answer 2.
(0.0035,0)
Answer 3.
(−∞,∞)
Answer 4.
[0,∞)

13.7.5.13.

Answer 1.
(−6,5),(2,5)
Answer 2.
{−6,2}
Answer 3.
(−∞,−6)∪(2,∞)

13.7.5.15.

Answer 1.
(−2.5,−5),(4,−5)
Answer 2.
{−2.5,4}
Answer 3.
(−2.5,4)

13.7.5.17.

Answer 1.
(−2,3),(2,−1)
Answer 2.
{−2,2}
Answer 3.
(−∞,−2)∪(2,∞)

13.7.5.19.

Answer 1.
(−2,−2),(0,0),(2,2)
Answer 2.
{−2,0,2}
Answer 3.
(−2,0)∪(2,∞)

13.7.5.21.

Answer 1.
(−3,1),(5,3)
Answer 2.
{−3,5}
Answer 3.
(−3,5)

13.7.5.23.

Answer 1.
(−2,−2),(0,0)
Answer 2.
{−2,0}
Answer 3.
(−∞,−2)∪(0,∞)

13.7.5.25.

Answer 1.
(−10,50),(15,25)
Answer 2.
{−10,15}
Answer 3.
(−∞,−10)∪(15,∞)
Answer 4.
[−10,15]

13.7.5.27.

Answer 1.
(−2,5),(0.75,5)
Answer 2.
{−2,0.75}
Answer 3.
(−2,0.75)
Answer 4.
(−∞,−2]∪[0.75,∞)

13.7.5.29.

Answer 1.
(−6,10),(−0.5,21)
Answer 2.
{−6,−0.5}
Answer 3.
(−6,−0.5)
Answer 4.
(−∞,−6]∪[−0.5,∞)

13.7.5.31.

Answer.
(−∞,−2)∪(−0.5,∞)

13.7.5.33.

Answer.
[0,1.1]

13.7.5.35.

Answer.
(−6.37228,−0.627719)

13.7.5.37.

Answer.
(−∞,0.090098]∪[1.1099,∞) or (−∞,0.09]∪[1.1099,∞)

13.7.5.39.

Answer.
(−∞,∞)

13.8 Graphs and Equations Chapter Review
13.8.8 Exercises

13.8.8.1.

Answer.
x y=−25x−3 Point
−5 −1 (−5,−1)
0 −3 (0,−3)
5 −5 (5,−5)

13.8.8.3.

Answer.

13.8.8.5.

Answer.

13.8.8.7.

Answer.

13.8.8.9.

Answer.
x y=−3x2 Point
−2 −12 (−2,−12)
−1 −3 (−1,3)
0 0 (0,0)
1 −3 (1,−3)
2 −12 (2,−12)

13.8.8.11.

Answer 1.
(0.25,−1.125)
Answer 2.
(0,−1)
Answer 3.
(−0.5,0),(1,0)
Answer 4.
(−∞,∞)
Answer 5.
[−1.125,∞)
Answer 6.
9
Answer 7.
{−1.5,2}
Answer 8.
(−1.5,2)

13.8.8.13.

Answer 1.
4.375
Answer 2.
606.25

13.8.8.15.

Answer 1.
7;right
Answer 2.
8;down

13.8.8.17.

Answer 1.
x2−2x−3
Answer 2.
(x−3)(x+1)

13.8.8.19.

Answer 1.
(0,−24)
Answer 2.
(−4,0),(6,0)

13.8.8.21.

Answer.
{−2,1}

13.8.8.23.

Answer.
{−1,4}

13.8.8.25.

Answer 1.
(−∞,∞)
Answer 2.
(−∞,5]

13.8.8.31.

Answer.
{7,3}

13.8.8.33.

Answer.
{−3,6}

13.8.8.35.

Answer.
{−16,−8}

13.8.8.37.

Answer.
{5}

13.8.8.39.

Answer.
{−75,19}

13.8.8.41.

Answer.
{−16,−310}

13.8.8.43.

Answer.
no real solutions

13.8.8.45.

Answer.
{−8,10}

13.8.8.47.

Answer.
{−65,−2}

13.8.8.49.

Answer.
{3}

13.8.8.51.

Answer.
{−2}

13.8.8.53.

Answer.
{−1,9}

13.8.8.55.

Answer.
(−∞,0.0526316)∪[0.470588,∞)

13.8.8.57.

Answer.
(−∞,−0.1]

13.8.8.59.

Answer.
(0,∞)

13.8.8.61.

Answer.
(−∞,−8.5]

13.8.8.63.

Answer.
[−5,0)

13.8.8.65.

Answer.
[82.4,95]

13.8.8.69.

Answer 1.
(−6,5),(2,5)
Answer 2.
{−6,2}
Answer 3.
(−∞,−6)∪(2,∞)

13.8.8.71.

Answer 1.
(−2,3),(2,−1)
Answer 2.
{−2,2}
Answer 3.
(−∞,−2)∪(2,∞)

13.8.8.73.

Answer 1.
(3,1),(5,3)
Answer 2.
{3,5}
Answer 3.
(3,5)

13.8.8.75.

Answer 1.
(−∞,0)∪(6,∞)
Answer 2.
[0,6]
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