MAT0022/MAT0056 Additional Practice

Copyright © 2017 Pearson Education, Inc.

Chapter 1 Answers

Additional Practice, 1.3

1. 5

6

2. 4

5

3. 16

27

4. 1

9

5. 5

8

6. 3

5

7. 16

8. 3

4

9. 1

12

10. 13

10

11. 1

6

12. 19

24

Additional Practice, 1.4

1. 36

2. 3

3. 8

4. 9

5. 2

7

6. 30

7. 1

3

8. 11

9. 20

10. 12x + 4

11. 2x − 3

12. 5x + 6

Additional Practice, 1.5

1. −44

2. 19

3. −16

4. 2

9

5. 52

6. -30

7. Opposite: 26

8. Opposite: −36

9. Opposite: −45

10. 6.3

11. 0

12. 2

3

MAT0022/MAT0056 Additional Practice

Copyright © 2017 Pearson Education, Inc.

Chapter 1 Answers

(continued)

Additional Practice, 1.6

1. 6

2. −80

3. −0.17

4. −16

5. 1

2

6. −24

7. −7

8. −14

9. 0

10. −9

11. −25

12. 24

Additional Practice, 1.7

1. 72

2. −120

3. 3

5

4. 81

5. −36

6. −64

7. 9

8. −15

9. 7

2

10. 32

11. −7

12. −4

MAT0022/MAT0056 Additional Practice

Copyright © 2017 Pearson Education, Inc.

Chapter 2 Answers

Additional Practice, 2.1

1. 5y

2. 10 13x

3. 0.9 2.0w

4. 10 80y

5. 24 7m n

6. 18 36 24x y

7. 8 28x

8. 6 42y

9. 9 13x

10. 5 12x

11 9 ( 4)

9 36

x

x

12. 2( 3) 8

2 6 8

10 6

x x

x x

x

Additional Practice, 2.2

1. 4x

2. 26y

3. 1

8k

4. 11x

5. 6x

6. 9y

7. 27x

8. 3x

9. 9x

10. 3

5y

11. 0x

12. 35x

Additional Practice, 2.3

1. 6x

2. 37x

3. 0p

4. 6x

5. 4x

6. 4y

7. 8y

8. 4x

9. 2x

10 5x

11. 15x

12. 3y

MAT0022/MAT0056 Additional Practice

Copyright © 2017 Pearson Education, Inc.

Chapter 2 Answers

(continued)

Additional Practice, 2.4

1. 2x

2. 0x

3. 3x

4. 1a

5. 17x

6. 4x

7. 2x

8. 9

10x

9. 2y

10 8x

11. 7.2x

12. 10y

Additional Practice, 2.5, 2.6 & 2.9

1. 8(x + (−2)) = 10x; x = −8

2. 2(x − 7) = 5x + 1; x = −5

3. −6x − 12 = −4(x + 2); x = −2

4. x + (2x) + (3x) = 30;

5 inches; 10 inches and 15 inches

5. x + (2x + 5) = 56;

17 inches and 39 inches

6. (x – 6) + x = 22;

Second piece is 14 feet

7. (4x) + x + (x + 18) = 180;

A = 108°; B = 27°; C = 45°

8. 2(2x + 2) + 2(x) = 148;

Width = 24 feet; length = 50 feet

9. 2(2x − 1) + 2(x) = 70;

Width = 12 meters; length = 23 meters

10. (6 ) 8 106x x ;

The maximum lengths are 14 meters and 84 meters.

11. 92 87 84 94

905

x ;

Miranda needs a score of 93 or higher.

12. 15 250 625x ;

Carla can invite at most 25 children.

MAT0022/MAT0056 Additional Practice

Copyright © 2017 Pearson Education, Inc.

Chapter 2 Answers

(continued)

Additional Practice, 2.6

1. 9L

2. 5t

3. 4h

4. 1

4m

5. d P a b c

6. 14

7

xy

7. 3V

Ah

8. 2

4

S HWL

W

9. A P

RPT

10. 2

2Vh

r

Additional Practice, 2.9

1.

2.

3. 8y

4. 5x

5. 3y

6. 8x

7. 2x

8. 1x

9. 3x

10. 3x

11. 1

2x

12. 1x

MAT0022/MAT0056 Additional Practice

Copyright © 2017 Pearson Education, Inc.

Chapter 3 Answers

Additional Practice, 3.1

1.

2. A = (−3, −4); Quadrant 3

B = (4, −2); Quadrant 4

C = (−2, 0); x-axis

D = (1, 3); Quadrant 1

3. No

4. Yes

5. (2, −4); (1, −1)

6. (−4, −2); (8, −5)

7. −x + y = 5

x y

−2 3

−5 0

1 6

8. 1

2y x

x y

2 −1

−2 1

4 −2

Additional Practice, 3.2

1. y = 3x

2. x − 2y = 4

3. 1

4y x

4. y = −x + 1

MAT0022/MAT0056 Additional Practice

Copyright © 2017 Pearson Education, Inc.

Chapter 3 Answers

(continued)

Additional Practice, 3.2

(continued)

5. 3x + y = 6

6. x = 2y

7. y = 4x − 3

8. y = −2x + 1

Additional Practice, 3.3 1. x-intercept: (−4, 0)

y-intercept: (0, −2)

2. x-intercepts: (−4, 0), (−2, 0)

and (1, 0)

y-intercept: (0, −8)

3. x-intercepts: (−2, 0) and

(2, 0)

y-intercept: (0, 4)

4. a) x-intercept: (5, 0)

y-intercept: (0, 4)

4. b) x-intercept: 3

, 02

y-intercept: (0, 3)

5 −3x + 2y = 6

6. 2x − 5y = −10

Additional Practice, 3.3

(continued)

7. y = −5

8. x ‒ 3 = 0

MAT0022/MAT0056 Additional Practice

Copyright © 2017 Pearson Education, Inc.

Chapter 5 Answers

Additional Practice, 5.1

1. a10

2. 6 98x y

3. 7 85x y

4. 24k

5. 9 15 664x y z

6. 20 4

8

81a b

c

7. 5 3p q

8. 4 54a b

9. 4

3

y

10. −9

11. 26x

12. 2 625a b

13. 2

Additional Practice, 5.2

1. 1st degree; binomial

2. 2nd degree; trinomial

3. 6th degree; none of these

4a. 7

4b. -0

5a. 2

5b. 9

6. 210 6x x

7. 22.3 6y y

8. −2xy + y

9. 19y + 12

10. 22 5 11a a

11 2 4 2x x

12. 2 2 23 7 16 6x y xy x y

Additional Practice, 5.3

1. 630x

2. 62

49y

3. 1032x

4. 3 210 45 15y y y

5. 4 2 3 4 512 36 40a b a b ab

6. 2 12 45y y

7. 220 23 21x x

8. 4 210 15 70x x

9. 236 132 121y y

10. 2 225 20 4x xy y

11. 3 23 32 64x x x

12. 3 23 31 21a a a

MAT0022/MAT0056 Additional Practice

Copyright © 2017 Pearson Education, Inc.

Chapter 5 Answers

(continued)

Additional Practice, 5.4

1. 2 5 4x x

2. 23 5 22x x

3. 24 33 65x x

4. 3 28 7 56y y y

5. 210 41 40a a

6. 2 23 16 35x xy y

7. 24 12 9x x

8. 2 216 8x xy y

9. 2 225 20 4a ab b

10. 236 1x

11. 2 29 25x y

12. 464 49y

Additional Practice, 5.5

1. 1

25

2. 81

3. 7p

4. 15

6

y

x

5. 6

12

x

y

6. 3

3

x

y

7. 6 149a b

8. -10

2125

y

x

9. 68.71 10

10. 71.2 10

11. 0.000000784

12. 6,052,000

Additional Practice, 5.6

1. 26 4 3x x

2. 2 3a ab

3. 22 3 11x x

4. 26 3p p

5. 2

4 3aa

6. 21 2 4x x

7. 2 39 11 14xy y x

MAT0022/MAT0056 Additional Practice

Copyright © 2017 Pearson Education, Inc.

Chapter 6 Answers

Additional Practice, 6.1

1. 18

2. xy

3. 6

4. 25 ( 2 5)x xy y

5. 2 34 (3 4)y y y

6. 3 2 2(4 2 5)a b a b ab

7. 24( 2 1)x y x

8. 3 23 ( 3 10)xy x y x y

9. 2 3 46 ( 2 3 )x y x y x y

10. ( 4)( 2)y x

11. ( 2)( 3)y x

12. 2( 6)( 5)x x

13. ( 2)(3 )y x

14. ( 4 )(4 3)x y x

15. ( 2 )(3 5)x y x

Additional Practice, 6.2

1. ( 14)( 3)x x

2. ( 7)( 8)x x

3. ( 2)( 15)x x

4. ( 5)( 4)x x

5. ( 4)( 12)x x

6. Prime

7. ( 5 )( 9 )x y x y

8. ( 9)( 7)x x

9. ( 4)( 7)x x

10. 5( 2)( 3)x x

11. 3( 5)( 7)x x

12. 22( 7 6)x x

13. ( 4)( 9)x x x

14. 3 ( 5 )( )xy x y x y

15. 32 ( 2)( 6)y y y

Additional Practice, 6.3

1. ( 5)y

2. (5 1)(3 2)x x

3. (4 3)(2 1)x x

4. (3 2)(3 4)x x

5. − (2 5)(3 2)x x

6. (7 1)(3 2)x x

7. 4 (2 1)( 4)x x x

8. (6 5)(3 2)a a

9. 22( 4)x

10. 2 2(2 3)x x

11. 2(4 3 )x y

12. (5 1)(5 9)n n

MAT0022/MAT0056 Additional Practice

Copyright © 2017 Pearson Education, Inc.

Chapter 6 Answers

(continued)

Additional Practice, 6.5

1. (1 3 )(1 3 )x x or (3 1)(3 1)x x

2. (2 )(2 )x y x y

3. ( 11)( 11)ab ab or (11 )(11 )ab ab

4. ( 10)( 10)x x

5. (3 2)(3 2)y y

6. (4 5)(4 5)x x

7. (5 9 )(5 9 )x y x y

8. 2( 4)( 2)( 2)x x x

9. 4 ( 3)( 3)x x x

10. Prime

Additional Practice, 6.6

1. x = −11, 2

2. 7

, 53

x

3. 2 1

,5 3

x

4. 1 5

,2 8

x

5. x = −0.5, 0.3

6. x = −9, 4

7. 2

,15

x

8. y = −5, 5

9. n = 3, 7

10. x = −8, 4

11. 3

4x

12. 5

2,3

b

MAT0022/MAT0056 Additional Practice

Copyright © 2017 Pearson Education, Inc.

Chapter 7 Answers

Additional Practice, 7.1

1. −7

2.

3.

4. 0

5. 10

6. −5, 3

7.

8. −1

9.

10. −8

11.

12.

Additional Practice, 7.2

1.

2. x

3.

4.

5. 4x

6.

7.

8.

9.

10.

11.

12.

4

9

7

2

3

5

4

x

1

8x

5

4 1

x

x

15

7

x

6

a

2

35

x

2y

y

73x

3

14x

y

5

5

x

x

2( )

2

a b

5

9

2

7

x

x

MAT0022/MAT0056 Additional Practice

Copyright © 2017 Pearson Education, Inc.

Chapter 8 Answers

Additional Practice, 8.1

1. 9

2. 1

7

3. −12

4. Not a real number

5. 0.5

6. 11

2

7. 2n

8. 3x y

9. 46a

10. 6 108y z

Additional Practice, 8.2

1. 3 6

2. 2 11

3. 6 2

4. 5 5

5. 20 2

6. 2 21

5

7. 4 3

11

8. 5x x

9. 5y y

10. 3 43 5x y x

11. 2

2 14

y

12. 4

9

x x

MAT0022/MAT0056 Additional Practice

Copyright © 2017 Pearson Education, Inc.

Chapter 8 Answers

(continued)

Additional Practice, 8.3

1.

2.

3.

4.

5.

6. 20 2 22 6

7.

8. 0

9.

10.

11.

12.

Additional Practice, 8.4

1. 10

2.

3.

4. 17x

5. 48

6.

7.

8.

9.

10. 2

11.

12.

3 7

2 10

7 19

9 2

2 5

3 6y y

2x x

3 13

10

x

10 2 7x x x

7 2

3 11

5 3xy

22 3xy y

21 4 7

2 5 5 2y y

3 2

2 3y