Chapter 1

ⓐ 6 , 121 6 , 121
ⓑ − 25 , −1 , 6 , 121 − 25 , −1 , 6 , 121
ⓒ − 25 , − 3 8 , −1 , 6 , 121 − 25 , − 3 8 , −1 , 6 , 121
ⓓ 2.041975.. . 2.041975.. .
ⓔ − 25 , − 3 8 , −1 , 6 , 121 , 2.041975.. . − 25 , − 3 8 , −1 , 6 , 121 , 2.041975.. .

32 r + 29 s 32 r + 29 s

41 m + 6 n 41 m + 6 n

6 x + 42 6 x + 42

70 + 15 p 70 + 15 p

4 + 35 d 4 + 35 d

−10 + 15 a −10 + 15 a

−56 + 105 y −56 + 105 y

2 x − 20 2 x − 20

5 x − 66 5 x − 66

7 x − 13 7 x − 13

Section 1.1 Exercises

Divisible by 2, 3, 6

Divisible by 3, 5

5 · 7 · 13 5 · 7 · 13

2 · 2 · 2 · 2 · 3 · 3 · 3 2 · 2 · 2 · 2 · 3 · 3 · 3

10 x + 6 10 x + 6

22 a + 1 22 a + 1

17 x 2 + 20 x + 16 17 x 2 + 20 x + 16

ⓐ 5 x 2 − 6 x y 5 x 2 − 6 x y ⓑ 6 y 2 5 x 6 y 2 5 x
ⓒ y 2 + 21 y 2 + 21 ⓓ 81 x 2 − 6 x 81 x 2 − 6 x

ⓐ 4 a b 2 + 3 a 2 b 4 a b 2 + 3 a 2 b ⓑ 20 x y 2 20 x y 2
ⓒ m + 15 m + 15 ⓓ 121 x 2 − 9 x 121 x 2 − 9 x

ⓐ 8 ( y − 9 ) 8 ( y − 9 ) ⓑ 8 y − 9 8 y − 9

ⓐ 5 ( 3 x + y ) 5 ( 3 x + y ) ⓑ 15 x + y 15 x + y

2 c + 14 2 c + 14

Answers will vary.

Answers will vary.

Section 1.2 Exercises

ⓐ −11 −11 ⓑ −3 −3 ⓒ 3 3

ⓐ 6 ⓑ −6 −6 ⓒ −20 −20 ⓓ 20 20

ⓐ −32 −32 ⓑ −65 −65 ⓒ −4 −4
ⓓ 13 13

ⓐ −4 −4 ⓑ −12 −12 ⓒ −39 −39
ⓓ 14 14

( 3 + ( −15 ) ) + 7 ; − 5 ( 3 + ( −15 ) ) + 7 ; − 5

ⓐ 10 − ( −18 ) ; 28 10 − ( −18 ) ; 28
ⓑ −25 − 11 ; − 36 −25 − 11 ; − 36

Answers will vary.

Answers will vary.

Section 1.3 Exercises

2 x 2 3 y 2 x 2 3 y

− 21 a 2 11 b 2 − 21 a 2 11 b 2

10 u 9 v 10 u 9 v

2 m 3 n 2 m 3 n

4 x + 3 12 4 x + 3 12

ⓐ 25 n 16 25 n 16 ⓑ 25 n − 16 30 25 n − 16 30

ⓐ −8 x − 15 18 −8 x − 15 18 ⓑ − 10 k 27 − 10 k 27

ⓐ −5 ( a + 1 ) 3 −5 ( a + 1 ) 3 ⓑ a a

−28 − 15 y 60 −28 − 15 y 60

ⓐ 1 5 1 5 ⓑ 6 5 6 5

Answers will vary.

Answers will vary.

Section 1.4 Exercises

ⓐ 0 , 36 , 9 0 , 36 , 9 ⓑ −8 , 0 , 36 , 9 −8 , 0 , 36 , 9 ⓒ −8 , 0 , 12 5 , 36 , 9 −8 , 0 , 12 5 , 36 , 9 ⓓ 1.95286. , 1.95286. , ⓔ −8 , 0 , 1.95286. , 12 5 , 36 , 9 −8 , 0 , 1.95286. , 12 5 , 36 , 9

ⓐ none ⓑ − 100 , −7 , −1 − 100 , −7 , −1
ⓒ − 100 , −7 , − 8 3 , −1 , 0.77 , 3 1 4 − 100 , −7 , − 8 3 , −1 , 0.77 , 3 1 4
ⓓ none
ⓔ − 100 , −7 , − 8 3 , −1 , 0.77 , 3 1 4 − 100 , −7 , − 8 3 , −1 , 0.77 , 3 1 4

Answers will vary.

Answers will vary.

Section 1.5 Exercises

27 m + ( −21 n ) 27 m + ( −21 n )

5 4 g + 1 2 h 5 4 g + 1 2 h

2.43 p + 8.26 q 2.43 p + 8.26 q

32 y + 72 32 y + 72

6 c − 78 6 c − 78

3 4 q + 3 3 4 q + 3

36 d + 90 36 d + 90

r s − 18 r r s − 18 r

y p + 4 p y p + 4 p

−28 p − 7 −28 p − 7

−3 x + 18 −3 x + 18

−33 c + 26 −33 c + 26

4 m − 10 4 m − 10

72 x − 25 72 x − 25

22 n + 9 22 n + 9

6 c + 34 6 c + 34

12 y + 63 12 y + 63

Answers will vary.

Answers will vary.

Review Exercises

Divisible by 2 , 3 , 5 , 6 , 10 2 , 3 , 5 , 6 , 10

6 x 2 − x + 5 6 x 2 − x + 5

ⓐ 11 ( y − 2 ) 11 ( y − 2 ) ⓑ 11 y − 2 11 y − 2

ⓐ 8 ⓑ −8 −8 ⓒ −22 −22 ⓓ 22

ⓐ −3 −3 ⓑ −15 −15 ⓒ −56 −56 ⓓ 17

( −4 + ( −9 ) ) + 23 ; 10 ( −4 + ( −9 ) ) + 23 ; 10

− 15 x 3 11 y 2 − 15 x 3 11 y 2

8 x 15 y 8 x 15 y

ⓐ 11 8 11 8 ⓑ 5 6 5 6

3 4 x + y 3 4 x + y

1 11 15 1 11 15

8 b + 10 8 b + 10

x p − 5 p x p − 5 p

6 y + 16 6 y + 16

Practice Test

−8 − 11 ; − 19 −8 − 11 ; − 19

( −8 − ( −3 ) ) + 5 ; 0 ( −8 − ( −3 ) ) + 5 ; 0

ⓐ 28.15 28.15 ⓑ 28.146 28.146

13 y − 3 13 y − 3

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