Solution manual for intermediate algebra 7th edition by tobey

2 5 − 17 For questions 15−22, write each of the following in simplest form with positive exponents only... For questions 26 and 27, write an expression for each of the following and simp

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11 (3a – 8)(3a + 8) 12 (3x − 5)2

For questions 13 and 14, find the following quotients

2 (5) − 17

For questions 15−22, write each of the following in simplest form with positive exponents only

Chapter Test 2A Name:

For questions 1−12, find the following products

(–3)2

3 (− 9s 5t5

)(−7s 4 t8

) 4 3(4x – 1) – 5(x + 5)

5 ( 4a 3

b )( 3a 4

b2

)2

6 4c ( 6c3

− 5)

7 2m

4

n 2

(5m 3

n 3

− 3mn − 9n4

) 8 (y – 8)(y – 5)

9 (3p + 5q)(7p – 6q) 10 ( m−3) (m2

−7m −5)

15 ( m 5

n−6

– (6a)0

19 35m 4 n7

−6x 3 y2

Evaluate each of the following

23 6 − 3(−8 − 10) ÷ ( −6)

( x 4)−5(x )2

20.

( x −6 ) −3 ( x−2 )3

22. 16b 4

− 16b 3

+ 8b 8b2

3(−3)2 − 2

24.

(−2)3 + 3(−1)4

25 Find the value of 5y – 3(z + 2x) ÷ x, for x = –3, y = 2, and z = –2

For questions 26 and 27, write an expression for each of the following and simplify

26 8 decreased by the product of 9 and –13

27 The product of 2x – 3 and x – 4 added to 4x2

– 2x – 9

28 Write each of the following in scientific notation

Evaluate each of the following using scientific notation Leave the answer in standard notation

30. 0.00000165

1100000

29 (0.0012)(0.00000026)

98 Instructor’s Resources Manual with Tests, Integrated Arithmatic and Basic Algebra, Fifth Edition

Chapter Test 2B

For questions 1−12, find the following products

1 (–4)(–2)(5)

3 (−6a 6 b 6

)(7a 8

b4

)

5 (3x2

y)(4x2

y4

)2

7 3x 2

y 3

(4xy 3

− 2xy − 6 y3

)

9 (2n + 5m)(3n – 7m)

11.(4z + 5)(4z – 5)

For questions 13−14, find the following quotients

13. 15 + 9

8

Name:

2 (–2)4

(3)2

4 2(3x – 4) – 5(6x – 8)

6 4a(5a2

– 6)

8 (a – 6)(a – 3)

10 ( b−2) (b2

−5b−7)

12 (4x − 3)2

14 (4)(5)

2

− 19 (3)(2)2 − 3

For questions 15−22, write each of the following in simplest form with positive exponents only

15 ( p 4

q−3

– (3x)0

17 ( −4a y ) 18

( 3x2

y3 ) 2

19. 27x 3

y7

−9x 7 y3

−8ab4

Evaluate each of the following

23 −7 − 3(33 − 11) ÷ (−2)

( x −

5)4(x2)3

20.

( x −3 )− 5

( x3 )−2

22. 24a 4

+ 18a 6a2

24 4(− 3)

2

− 6 (−4)2

+ ( − 2)(−7)

25 Find the value of 5y – 4(z – 2x) ÷ z, for x = –3, y = 2, and z = –2

For questions 26 and 27, write an expression for each of the following and simplify

26 The product of 5 and –6 subtracted from 8

27 The product of 3x – 2 and x + 4 added to 3x2

– 4x – 9

28 Write each of the following in standard notation

a 4.08 × 10–6

b 9.093 × 107

Evaluate each of the following using scientific notation Leave the answer in standard notation

29 (150,000)(0.000000012) 30 0.0000168

1400000

100 Instructor’s Resources Manual with Tests, Integrated Arithmatic and Basic Algebra, Fifth Edition

Chapter Test 2C Name:

For questions 1−12, find the following products

2

(–3)3

3 (−3u 3v 5

)(2u 4

v2

) 4 5(2x + 3) – 6(9x + 4)

5 ( 4x 3

y 2

)( 2xy5

)2

6 4c (5c3

− 6)

7 5x 4

y 2

(6xy − 3x 3

y − 4 y3

) 8 (b – 5)(b – 2)

9 (4a – 6b)(5a + 2b) 10 ( x−3) (x2

− 2x+4)

11 (2t + 5)(2t – 5) 12 (7x – 5)

2

For questions 13−14, find the following quotients

3 (− 7) + 14

For questions 15−23, write each of the following in simplest form with positive exponents only

15 ( r −3

s5

– 3y0

3t 2 u −3 −2

17 ( −4tx5

( 2t2

u4 ) 2

19. 45x 3

y7

−5x 9 y3

−5t 2 u3

Evaluate each of the following

23 −10 – 2(–5 – 7) ÷ (–3)

( −2 y 6 )−4 ( y5 )3

20.

( y −2 )− 3 ( y7 )−2

22 24r

5

+16r 8r3

24. 5(−2)3

− (−2) (−3)2

+ 5(2)0

25 Find the value of 5c + 3(a – 4b) ÷ b3

, for a = 2, b = –1, and c = – 4

For questions 26 and 27, write an expression for each of the following and simplify

26 10 increased by the product of – 6 and 9

27 The product of (2x – 7) and (x + 3) subtracted from 8x2

– 5x + 4

28 Write each of the following in standard notation

a 2.205 × 106

b 6.28 × 10– 4

Simplify each of the following using scientific notation

29 (0.0000064)(3,090,000) 30

Leave answers in standard notation

180000

0.00036

102 Instructor’s Resources Manual with Tests, Integrated Arithmatic and Basic Algebra, Fifth Edition

Chapter Test 2D

Circle the letter of the correct answer

For questions 1−12, find the following products

1 (–4)(5)(–2)

a –40 b 40 c –20

2 (–3)2

(2)3

a –216 b 72 c 81

3 (5a 4

b 4

)(−7ab6 )

a –35a5

b10

b –35a4

b10

c –35a4

b24

Name:

d –12 e None of these

d –72 e None of these

d –35a10

b5

e None of these

4 2(3x – 1) – 4(7x − 5)

a 22x – 18 b −22x − 22 c −22x + 18 d 20x + 22 e None of these

5 ( 5x 4

y )( 3x 3

y2

)2

a 20x16

y6

b 30x10

y4

c 45x10

y5

d 15x7

y4

e None of these

6 3a (4a2

− 7)

a 12a3

– 21 b –9a4

c –9a3

d 12a3

– 21a e None of these

7 4x 3

y 3

(5xy 4

− 3xy − 5 y3

)

a 20x4

b 60x5

– 5y10

c –12x11

y17

d 20x4

y7

– 12x4

y4

– 20x3

y6

e None of these

8 (a – 7)(a – 3)

a a2

– 4a + 21 c a2

– 10a + 21

d a2

– 7a + 21 e None of these

9 (3n + 5m)(4n – 7m)

a 12n –15mn – 35m b 12n2

– mn + 35m2

c 12n2

– mn – 35m2

d 12n2

– 35m2

e None of these

Chapter Test 2D 103

10 (b−4) (b2

−3b−5)

a b3 –12b – 20 b b

3

– 7b2

+ 7b + 20 c b3

+ 7b + 20

d b3 – 11b2 + 7b + 20 e None of these

11 (3z + 6)(3z – 6)

a 9z

2

2

+ 36

d 3z

2

– 18z – 36 e None of these

12 (5x − 2)2

a 25x2

+ 20x + 4 b 25x2

− 20x + 4

d 25x2

For questions 13−21, write each of the following in simplest form with positive exponents only

13 ( 3 p 6

q−4

)−2

a

9

b

q8

c 9p12

q8

d

q8

e None of these

p12 q8 9 p6

9 p12

14 –2x0

– (5x)0

a 1 b 0 c 3 d –3 e None of these

15 ( −3a −2

b3

)−2

a

9a4

b 9a4

b6

c

a4

d −

a4

e None of these

9b6

(y −

2 z3)4

16.

( 2 yz4 )3

a − y b –y c y d 1 e None of these

8

104 Instructor’s Resources Manual with Tests, Integrated Arithmatic and Basic Algebra, Fifth Edition

Chapter Test 2D

17. −24x 4 y4

6x 5

y3

a − 4 b 4xy c − 4y d 4 y

x 9

y5

e None of these

18 (−8b3 )(− 4b5 )

(

−2b 3

)( )

8b6

a − 2 b 32b

8

b

−16b9

19 )

( x−4 ) −3 ( x5 )−2

a 64

b 1

x13

64x17

20 −16a4 b3 + 24a2

b2

−4ab2

a 4a5

b 5

− 6a3

b4

+

2a2

b7

d 4a3

b − 6a + 2b3

21. 10x6

+ 15x2

5x

a 2x3 − 5x + 3

x3

d 2x3

− 5x + 1

3x

c 2b3

d

1

8b4

c 1 d 5

b –20a2

b2

– 8ab5

e None of these

b 2x3

– 5x + 3x

e None of these

e None of these

e None of these

c −4a3

b − 6a − 2b3

c 2x9

– 5x7

+ 3x5

For questions 22−23, evaluate the expressions

22 –8 − 2(–15 – 9) ÷ (–6)

a −10 b –4 c –16 d −6 e None of these

Chapter Test 2D 105

23. (5)2

(−6) + 18

(6)(3) − 6

a 19 b –11 c 14 d 13.67 e None of these

24 Find the value of 6y – 3(z – 3x) ÷ x, for x = –3, y = 2, and z = –2

For questions 25 and 26, write an expression for each of the following and simplify

25 The product of –7 and 6 subtracted from 8

a –9 b –34 c 50 d 34 e None of these

26 The product of 4x – 3 and x + 5 added to 2x2

– 7x – 3

a 6x2

+ 2x – 1 c 6x2

– 5x – 3

d 6x

2

+ 10x – 18 e None of these

27 Write 0000093 in scientific notation

a 9.3 × 10–6

b 9.3 × 107

c 9.3 × 106

d 9.3 × 10–8

e None of these

28 Write 5.09 × 106

in standard notation

a 509 b 5.09 c 509,000 d 5,090,000 e None of these

For questions 29 and 30, simplify each of the following using scientific notation Leave the answer in

standard notation

29 (0.0024)(45,000,000)

a 108,000,000,000 b 108,000 c 1,080,000

30. 60000

.0015

d 4 × 106

e None of these

106 Instructor’s Resources Manual with Tests, Integrated Arithmatic and Basic Algebra, Fifth Edition

Chapter Test 2E

Circle the letter of the correct answer

For questions 1−12, find the following products

1 3(–6)(–4)

a –72 b 40 c 7

2 (–2)3

(4)2

a 48 b 144 c –128

3 (−6x 3 y ) ( 4xy)

a –24x3

y b –24x3

y2

c –24x4

y2

4 3(2x + 4) – 5(2x + 1)

a 4x + 7 b −4x + 17 c 4x + 17

5 ( 4a 3

b )( 2a 2

b3

)3

a 8a5

b4

b 512a15

b12

c 32a18

b9

6 2x (3x2

− 5)

Name:

d 72 e None of these

d 85

e None of these

d –2x4

y e None of these

d −4x + 7 e None of these

d 32a9

b10

e None of these

a 6x3

– 10 b 6x3

– 10x c 6x3

– 5 d 6x2

– 10x e None of these

7 3x 2

y 4

(4x 3

y − 2xy − y5

)

a 12x

5

y5

– 6x3

y5

– 3x2

y9

b 12x

6

y4

– 6x2y4

– 3x2y20

c 3x10

y19

d 12x

5

y5

– 6x2

y5

– 3x2

y9

e None of these

8 (a – 4)(a – 8)

a a

2

2

+ 4a + 32

d a

2

– 12a + 32 e None of these

9 (2a + 3b)(5a – 4b)

a 10a

2

– 7ab –12b2 b 10a2 – 12b2

c 10a2

+ 7ab –12b2

d 10a

2

+ 23ab –12b2

e None of these

Chapter Test 2E 107

10 ( y−3) (y2

−4y−6)

a y3 – 7y – 18

d y3 + 7y +18

b y3 – 7y2 + 6y + 18

e None of these

c y3 – y2 + 6y – 18

11 (4v – 3)(4v + 3)

a 16v

2

2

– 24v – 9 c 16v2

+ 9

d 16v

2

+ 24v + 9 e None of these

12 (5x − 1)2

a 25x2 + 1

d 25x2 − 10x − 1

b 25x2+ 5x − 1

e None of these

c 25x2 − 10x + 1

For questions 13−21, write each of the following in simplest form with positive exponents only

13 ( 2a −7

b4

)−3

a a

9

b 2a

21

c a21

d b e None of these

4a10

14 –(6y)0

– 4x0

a 10y0

b –10 c 0 d –5 e None of these

(2a 4

b−2

)3

15.

(−4a −4 b− 1 )−3

a b9

b 1 c −1

d −512

e None of these

b9

(4t 2

u5

)2

16.

( 2tu3 )3

2

e None of these

108 Instructor’s Resources Manual with Tests, Integrated Arithmatic and Basic Algebra, Fifth Edition

Chapter Test 2E

a − 4 b –4a4

b3

c −

4a4

d −

4b3

10

b

7

b

3

a

4

(−10a 6 )(−2a3 )

18.

( −5a 6 )( 6a4

)

a 2a

19

b 3a c −2a d −2

( −3y 5 )−2 ( y3 )5

19.

( y −2 ) −3 ( y4 )−4

e None of these

e None of these

a y15

b 1

−3bc3

a 5b4

c8

– 4b3

c − 6c2

d −5b2c2

– 4bc + 6c2

21. 18w5

+ 12w 6w3

w2

w2

c 9y15

d 6y15

b 5b2

c2

– 4bc − 6c2

e None of these

b 3w2

– 24w3

+ 12w

e None of these

e None of these

c 5b2

– 4bc + 6c2

c 3w2

– 4 + 2w2

For questions 22−23, evaluate the following

22 –4 − 2(–17 + 3) ÷ (–7))

Chapter Test 2E 109

23. (4)2

(8) + 10

3(− 2) + 4

a –37 b 13.8 c –69 d 59 e None of these

24 Find the value of 3a – 4(b – 3c) ÷ a, for a = –4, b = –3, and c = 5

a 6 b – 24 c –6 d –30 e None of these

For questions 25 and 26, write an expression for each of the following and simplify

25 15 decreased by the product of –9 and 4

a –51 b –25 c –31 d 51 e None of these

26 The product of (2x – 5) and (x + 3) increased by 4x2

– 6x + 7

a 2x2

+ 7x – 22 c 6x2

– 5x – 8

d 6x

2

– 7x + 22 e None of these

27 Write 00000081 in scientific notation

a 81 × 10

–7

b 8.1 × 10

–7

c 8.1 × 10–6

d 8.1 × 10

–5

e None of these

28 Write 1.86 × 105

in standard notation

a 186,000 b 18,600 c 1,860,000 d 1,860 e None of these

For questions 29 and 30, simplify each of the following using scientific notation Leave the answer in

standard notation

29 (0.000032)(1,400,000)

30. 960000

.00016

CHAPTER 2 FORM A

1 48

2 144

3 63s9

t13

4 7x − 28

5 36a11

b5

6 24c4

– 20c

7 10m7

n5

– 6m5

n3

– 18m4

n6

8 y2

– 13y + 40

9 21p2

+ 17pq – 30q2

10 m3

– 10m2

+ 16m + 15

11 9a2

– 64

12 9x2

− 30x + 25

13 2

14 −21

15

n12

m10

16 –4

17 –27x6

y3

27b13

19 − 5n5

m2

x26

21 3x2

y4

+ 2x3

+ 4xy3

22 2b2

− 2b + 1

b

23 −3

24 –5

25 2

26 125

27 6x2

– 13x + 3

28 a 8.046 × 108

b 7.8 × 10–8

29 0.000000000312

30 0.0000000000015

CHAPTER 2 FORM B

1 40

2 144

3 –42a14

b10

4 −24x + 32

5 48x6

y9

6 20a3

– 24a

7 12x3

y6

– 6x3

y4

– 18x2

y6

8 a2

– 9a + 18

9 6n2

+ mn – 35m2

10 b3

– 7b2

+ 3b + 14

11 16z2

– 25

12 16x2

− 24x + 9

13 3

14 9

15 q

9

p12

16 –6

17 –64a9

y6

18 1

72x16

y3

19 − 3y

4

x4

Copyright © 2013 Pearson Education, Inc

286 Instructor’s Resources Manual with Tests, Integrated Arithmatic and Basic Algebra, Fifth Edition

20 1

x23

21 −2a3

b + 3ab4

+ b2

22 4a2

− 1 + a

3

23 26

24 1

25 18

26 38

27 6x2

+ 6x – 17

28 a 0.00000408

b 90,930,000

29 0.0018

30 0.000000000012

CHAPTER 2

FORM C

1 84

2 –432

3 –6u7

v7

4 −44x − 9

5 16x5

y12

6 20c4

– 24c

7 30x5

y3

– 15x7

y3

– 20x4

y5

8 b2

– 7b + 10

9 20a2

– 22ab – 12b2

10 x3

– 5x2

+ 10x – 12

11 4t2

– 25

12 49x2

– 70x + 25

13 2

14 –14

s10

16 –2

17 –64t3

x15

36t8

u2

19 − 9 y4

x6

20 1

16y

21 5t2

u2

+ 6t3

u + 2t

22 3r2 − 4 + 2

2

r

23 −18

24 − 19

7

25 –38

26 –44

27 6x2

– 4x + 25

28 a 2,205,000

b 0.000628

29 19.776

30 500,000,000

CHAPTER 2 FORM D

1 b

2 b

3 a

4 c

5 c

6 d

7 d

8 c

9 c

10 b

11 a

12 c

13 d

14 d

15 c

16 e

17 c

18 a

19 b

20 d

21 a

22 c

23 b

24 d

25 c

26 d

27 a

28 d

29 b

30 c

CHAPTER 2 FORM E

1 d

2 c

3 c

4 d

5 d

6 b

7 a

8 d

9 c

10 b

11 a

12 c

13 c

14 d

15 d

16 e

17 d

18 d

19 a

20 b

21 a

22 d

23 c

24 d

25 d

26 c

27 b

28 a

29 d

30 c