Intermediate algebra 7th edition martin gay test bank

Page 1

Solution Manual for Intermediate Algebra 7th edition by Martin Gay 0134196171 9780134196176

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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Simplify. Write the answer with positive exponents.

1) 85 89

A) 845

Answer: C

2) (-5)5(-5)7

B) 6414

C) 814

D) 6445

A) -512 B) 2535

Answer: D

3) x3 x9

A) x27

Answer: D

4) y y3

A) y4

Answer: A

5) g2 g8 g9

A) g10

Answer: D

6) -5x4 4x9

A) 20x36

Answer: D

7) -4x4y -6x5y3

A) -24x9y4

Answer: D

B) 2x27

C) 2512

D) (-5)12

C) 2x12

D) x12

B) y3

C) 2y3

D) 2y4

B) g25

C) g17

D) g19

B) -20x36

C) 20x13

D) -20x13

B) -24x9y3

C) 24x20y3

Simplify. Assume that variables in the exponent represent nonzero integers.

8) x5a x9a

D) 24x9y4

Answer: B

Answer: C

Simplify. Write the answer with positive exponents.

10) (-10)0

A)

Answer: B

2
A) ax45 B) x14a C) x45a
D) ax14
9) x10a x8a x9a
+ 2
A) ax27a +
2
B)
ax720a
+2
C) x27a
+ 2
D)
x720a
+ 2
10 B) 1 C) -1 D) 0

11)

12)

13)

14)

15)

16)

17)

18)

19)

20)

3
-(10)0 A) 1 B) -1 C) 0 D) 10 Answer: B
-7x0 A) -14 B) -6 C) -7 D) -7x + 1 Answer: C
(-10x)0 A) -10 B) 0 C) -1 D) 1 Answer: D
(2x - 4)0 A) 2x + 1 B) 1 C) 0 D) -3 Answer: B
9(x + y)0 A) 0 B) 9x + 9y C) 9 D) 1 Answer: C
(8x)0 + 8x0 A) 7 B) 9 C) 8x + 1 D) 16 Answer: B
(-2)0 - 20 A) 2 B) -1 C) 1 D) 0 Answer: D
-(15)0 + (-8)0 A) -2 B) 1 C) 0 D) 2 Answer: C
f4 f A) f5 B) f4 - f C) f3 D) 4 Answer: C
y12 y11 A) y23 B) y C) y12 - y11 D) 1 y Answer: B

21) x9 x5 A) x

Answer: C

22) x9y12 x4y5

A) x5y7

Answer: A

23) -42x9 6x3

A) -7x6

Answer: A

24) -10x8y13 2x5y10

A) -5x2y2

Answer: C

25) -35x13y11z4 7x6y7z3

A) -5x7y4

Answer: C

xy7

x4y6

x3

x5

-7x5

x4y7

x7y4z

-5x3y3

x3y3

-5x7y4z D)5x6y3z

Simplify. Assume that variables in the exponent represent nonzero integers.

26) x6a x3

A) x9a

Answer: B

Answer: A

28) x10a - 4 x8a xa A) x14a

Answer: C

x3a

4
B)
C)
D)
1 x4
x4
B)
C)
D)
B)
C)
D) x6
B)
C)
D)
-5x2y3
B)
C)
B)
C)
D)
x6a - 3
x6a + 3
B)
C)
D)
27) x10a + 7 x4a A) x6a + 7
x13a
x21a
x14a + 7
B)
C)
D)
x -2a
x17a - 4
x2a - 4

Simplify. Write the answer with positive exponents. 29)

5
3
2 A) 1 6 Answer: D B) -9 C) 9 D) 1 9
1 4-3 A) 1 64 Answer: D B) -64 C) 1 12 D) 64 31) -5-2 A)1 25 Answer: A B) 25 C) -25 D) 1 10
5z-2 A) 1 25z2 Answer: D
x2 x4 B)25 z2 C)1 25z2 D) 5 z2 A) -x2 B)1 x2 C) 1 x2 D) x2 Answer: C 34) x -2 x -7 A) x5 B) 1 x5 C)1 x5 D) -x5 Answer: A
x-7 x3 A) 1 x10 Answer: A B) x10 C) 1 x21 D) 1 x4
-
30)
32)
33)
35)
6
A) 1 x19
36) x10 x -9
3x-4 2x4 B) x19 C) 1 x90 D) x90 A) 3x8 2 Answer: C 38) x -2x x10 B) 3 2x16 C) 3 2x8 D) 3x16 2 A) 1 x12 Answer: C
x -7y11 x -2y-2 B) x11 C) 1 x11 D) 1 x -13 A) x5y13 B) y13 x5 C) 1 x5y9 D) x5 y9 Answer: B
18x-1y4
-2 A) y6 6x0
-3 A) 11 4x3 Answer: B B) 6y6 x2 B) 11x9 4 C) x0 6y6 C) 11x3 4 D) 6x2 y6 D) 11x8 4 Write the number in scientific notation. 42) 456,069
Answer: B 37)
39)
40)
3xy
Answer: B 41) (22x)(x5) 8x

Answer: D

7 A) 4.56069 × 106 B) 4.56069 × 10-5 C) 4.56069 × 101 D) 4.56069 × 105
8 43) 39.5 A) 3.95 × 10-2 B) 3.95 × 102 C) 3.95 × 10-1 D) 3.95 × 101 Answer: D 44) 120.451 A) 1.20451 × 10-2 B) 1.20451 × 102 C) 1.20451 × 101 D) 1.20451 × 10-1 Answer: B 45) 57,000 A) 5.7 × 105 B) 5.7 × 10-4 C) 5.7 × 104 D) 5.7 × 10-5 Answer: C 46) 6,100,000 A) 6.1 × 10-7 B) 6.1 × 107 C) 6.1 × 106 D) 6.1 × 10-6 Answer: C 47) 0.000877 A) 8.77 × 10-5 B) 8.77 × 10-3 C) 8.77 × 104 D) 8.77 × 10-4 Answer: D 48) 0.000099816 A) 9.9816 × 10-5 B) 9.9816 × 104 C) 9.9816 × 105 D) 9.9816 × 104 Answer: A 49) 0.000007949 A) 7.949 × 10-7 B) 7.949 × 106 C) 7.949 × 10-5 D) 7.949 × 10-6 Answer: D 50) 0.00000080109 A) 8.0109 × 107 B) 8.0109 × 10-6 C) 8.0109 × 106 D) 8.0109 × 107 Answer: D 51) 0.000000075807 A) 7.5807 × 10-7 B) 7.5807 × 10-9 C) 7.5807 × 108 D) 7.5807 × 108 Answer: D
In
certain
railway
carried
total
194,000,000,000 passengers A) 1.94 × 1012 B) 1.94 × 1011 C) 19.4 × 1011 D) 1.94 × 1010 Answer: B
the number in standard notation. 53) 1.93 × 106 A) 193,000 B) 115.8 C) 1,930,000 D) 19,300,000
52)
a
state, the
system
a
of
Write

Answer: C

9

54) 5.093 × 107

55) 5.8212 × 105

56)

58)

59) 7 0499 × 10-7

Answer: A

60) There are 2.136 × 104 miles of

Simplify. Write the answer with positive exponents. 61) (23 4

10
) )
A) 356.51 B) 509,300,000 C) 5,093,000 D) 50,930,000
Answer: D
A) 5,821,200 B) 291.06 C) 582,120 D) 58,212 Answer:
C
1.56
10
4 A) 0.0000156 B) 0.000156 C) -156,000 D) 0.00156
×
-
Answer: B
10
5 A) 0.0006751 B) -675,100 C) 0.00006751 D) 0.000006751
57) 6 751 ×
-
Answer: C
A) -
B)
C)
D)
1.459 × 10-6
1,459,000
0.0000001459
0.00001459
0.000001459 Answer: D
A)
B)
C)
D)
0.00000070499
-704,990,000
0.000000070499
0.0000070499
highways,
A) 2136 B) 21,360 C) 2,136,000 D) 213,600 Answer:
roads, and streets in a certain state
B
A) 24 B) 4096 C) 32 D) 128 Answer: B
4 A) 1 729 Answer: C 63) 3 2 5 B) -24 C) 1 6561 D) -36 A) 9 5 Answer: C B) 34 C) 9 25 D) -16
62) (32 -

64) (x4)-3

Answer: A

65) (x-3)-3

Answer: D

66) (3x)4

Answer: A

67) (-2x)3

Answer: D

68) (-3xy)2

Answer: C

69) xy6

70) 2x3y4

Simplify. Assume that variables in the exponent represent nonzero integers.

71) (xa + 8 5

Answer: C

11 ) 3 4
A) 1 x12
B) 1 x7 C) x7 D) x12
A) -x6 B) 1 x6 C) 1 x9 D) x9
A) 81x4 B) 12x C) 12x4 D) 81x
A)
B) -6x3 C) -
D)
8x3
-6x
8x
-
A) -
B) -6x2y2 C) 9x2y2 D) 9xy
6xy
z5 A) x3y18 z15 Answer:
B) xy18 z15 C) x3y9 z8 D) xy9 z8
A
A) 16x12 y16 z8 Answer: A B) 2x12y16 z6 C) 16x7y8 z6 D) 2x12y16 z8
z2
A) 5xa + 8 B) xa + 13 C) x5a + 40 D) xa + 40
12 2 72) (x5a + 3) A) x10a + 6 B) x5a + 5 C) 2x5a + 3 D) x5a + 6 Answer:
A

73)

Answer: A

Simplify. Write the answer with positive exponents.

74) (x-1y6)-2 A) 1 x2y12

Answer: C

75) (3x-5y2z-6 -2

Answer:

Answer: D

13 )
-2 4 -3 3
)
(x-2a - 3 -4 A) x8a + 12 B) 1 x8a + 12 C) 1 x5a + 5 D) x5a + 5
A)
y4 -6x7z8
D 76) (4xy-2) 2xy3 A)8y x3
B) x -3 y4 B) y4 9x7z8 B) y 32 C) x2 y12 C) x10z12 -6y-4 C)4 x3y-7 D) y4 x -3 D) x10z12 9y4 D) y 32x3 -2
1 x8y10
B) x4 y6 C) 1 x5y9 D) y6 x4
8y
4
512y12 729x12
77) xy x3y A)
Answer: B
78) 9x-4
-
A)
4y
A) x8y6 9
B) 729x12 512y12 B) x2y3 3 C) 512x12 729y12 C) x6y9 27 D) 729x43 512y43 D) x6y9 3
Answer: C 79) 4x-2y2 12x-
-1
Answer: C

80) -4x6y-7 5z2

A) 5y7 -4x6z2

Answer: D

81) x -1y-7 z -4

A) x6y42 z24

Answer: A

-1 -6 -4

82) 4-1x-3y-4 z -2

A) z8 256x12y16

Answer: D

B) 5z2 -4x6y7

C) -4x6 5y7z2

D) 5y7z2 -4x6

B) z24 xy42

C) xy42 z24

D) z24 x6y42

B) z8 4x12y16

C) 4x12y16 z6

D) 256x12y16 z8

2 )

83) (5xy3z-3) (4x6yz-3 -1

A) 100x8y7 z9

Answer: A

84) (4x6y5) (x8y2)

3 -4

B)25y7 4x4z9

A) 64x14y7 B) 64 x14y7

Answer: D

85) 4y-5 x5

A) 4 y19 -5 y -4

3 16x -1

Answer: C

B) 4x10 y19

C)25x8y7 4z9

D) 100y7 x5z9

C) y7 64x14

D) 64y7 x14

C) 4 x10y19

D) 4y19 x10

14

Simplify. Assume that variables in the exponent represent nonzero integers.

4 86) x2t

x

Answer: A

15
A) x8t - 4 B) 4x2t - 4 C) x8t D) 4x2t

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