Test Bank For Algebra and Trigonometry (6th Edition) 6th Edition

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Test Bank For Algebra and Trigonometry (6th Edition) 6th Edition

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  • ISBN 13: 9780134463216
  • ISBN 10:134463218
  • Author: Robert F. Blitzer
  • File Format: PDF or Docs (Can be read on any devices)

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

 

Evaluate the algebraic expression for the given value or values of the variable(s).

1) 9x + 8; x = 7
A) 71 B) 126 C) 17 D) 55
2) 8x + 3; x = -2
A) -13 B) 19 C) -19 D) 13
3) 2(x + 1) + 21; x = -4
A) 15 B) -15 C) 35 D) 7
4) 6x2+ 8y; x = 7 and y = 5
A) 334 B) 1804 C) 1710 D) 206
5) (x + 4y)2; x = 4 and y = 2
A) 144 B) 12 C) 24 D) 64
6) 2 + 6(x – 6)3; x = 8
A) 50 B) 14 C) 64 D) -46
7) x2– 4(x – y); x = 6 and y = 2
A) 20 B) 10 C) 14 D) -52
8)

6(x + 3)

;

x = 5

2x + 2

A) 4 B) 1 C) 8 D)

11

2

 

9)    y4x ; x = -1 and y = 3 7x + xy

 

 

A) –

7

B)

1

C)

1

D) –

9

10

10

4

10

 

2 Use Mathematical Models

 

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

 

Solve.

 

1)  The formula C =5 (F – 32) expresses the relationship between Fahrenheit temperature, F, and Celsius 9

 

 

temperature, C. Use the formula to convert 68°F to its equivalent temperature on the Celsius scale.

A) 20°C                                         B) 4°C                                           C) 56°C                                         D) 65°C

 

 

 

 

 

 

Page 1

2)  A stone is dropped from a tower that is 770 feet high. The formula h = 770 – 16t2 describes the stone’s height above the ground, h, in feet, t seconds after it was dropped. What is the stone’s height 4 seconds

after it is released?
A) 514 ft B) 524 ft C) 489 ft D) 539 ft

3)

If a rock falls from a height of 50 meters above the ground, the height H (in meters) after x seconds can be
approximated using the formula H = 50 – 4.9x2. What is the height of the rock after 3 seconds?
A) 5.9 m B) 405.9 m C) -166.09 m D) 35.3 m

4)

As the relative humidity increases, the temperature seems higher than it is. The formula T = 0.113x + 77.98
approximates the apparent temperature for an actual temperature of 85°F, where x is the relative
humidity. What is the apparent temperature (to the nearest degree) for a relative humidity of 40%?
A) 83°F B) 352°F C) 118°F D) 78°F

 

5)  The winning times (in seconds) in a speed-skating event for men can be represented by the formula

 

T = 46.18 – 0.095x, where x represents the year, with x = 0 corresponding to 1920. (For example in 1992, x would be 1992 – 1920 = 72.) According to the formula, what was the winning time in 1998? Round to the

nearest hundredth.

A) 38.77 sec                                 B) 3594.63 sec                            C) 39.72 sec                                 D) 40.67 sec

 

6)  It is estimated that y, the number of items of a particular commodity (in millions) sold in the United States in year x, where x represents the number of years since 1990, is given by the formula y = 1.3x + 3.07. That is, x = 0 represents 1990, x = 1 represents 1991, and so on. According to the formula, how many items sold

in 1995?

A) 9.57 millions                         B) 3.07 millions                         C) 21.85 millions                      D) 10.87 millions

 

3 Find the Intersection of Two Sets

 

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

 

Find the intersection of the two sets.

1)

{1, 3, 5, 8} ? {5, 11, 1}
A) {1, 5} B) {1} C) {1, 5, 8, 3, 11} D) ?

2)

{2, 10, 8} ? {4, 6}
A) ? B) {10, 8} C) {2, 4, 8, 10, 6} D) {2, 8}

3)

{6, 8, 9, 11} ? ?
A) ? B) {6, 8, 9, 11} C) {6, 8} D) {9, 11}

 

4 Find the Union of Two Sets

 

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

 

Find the union of the two sets.

1)

{2, 5, 8, 10} ? {2, 5, 12}
A) {2, 5, 8, 10, 12} B) {2, 5} C) {8, 10, 12} D) ?

2)

{2, 10} ? {2, 4, 8}
A) {2, 4, 8, 10} B) {2} C) {4, 8, 10} D) ?

3)

{1, 3, 4, 6} ? ?
A) {1, 3, 4, 6} B) {1, 3} C) {4, 6} D) ?

 

 

Page 2

5 Recognize Subsets of the Real Numbers

 

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

 

List all numbers from the given set B that are members of the given Real Number subset.

 

 

1)

B = {17, 25} Integers
5, -22, 0, 0.6,
A) 17, -22, 0,

25

B) 17, 0 C) 17, -22, 0 D) 17, 0,

25

2)

B = {11, 4} Whole numbers
6, -16, 0, 0.1,
A) 11, 0, 4 B) 11, -16, 0 C) 11, -16, 0, 4 D) 11, 0

3)

B = {10, 9} Natural numbers
6, -9, 0, 0.6,
A) 10,

9

B) 10, 0, 9 C) 10, 0 D) 10

4)

B = {16, 5, -2, 0,

8

, 25, 0.3,

0.73} Rational numbers

9

A) 16, -2, 0,

8

,

25, 0.73, 0.3

B) 16, 0, 25

9

C) 5,

25

D)

5,

8

, 0.73

9

5)

B = {11, 7, -11, 0,

5

,

4, 0.7,

0.35} Irrational numbers

6

A) 7 C)

7,

D)   7,

4, 0.35

B) 7, 0.7 4, 0.7

6)

B = {4,

8, 0,

5

,

9, -0.9,

0.53, -23}

Real numbers
6
A) 4, 8, 0, 5

,

0.53, -23

B) 4, 8, 0,

5

,

9, 0.53

9, -0.9,

6

6

C) 4, 8,

5

0.53, -23 D) 4, 0, 5

, 9, -0.9,

, -0.9,

0.53, -23

6

6

 

 

6 Use Inequality Symbols

 

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

 

Determine whether the statement is true or false.

1)

21 > 24
A) False B) True

2)

17 ? 4
A) True B) False

3)

-81 < 0
A) True B) False

4)

24 < -6
A) False B) True

5)

12 ? 11
A) False B) True

 

 

Page 3

6)

-5 ? 8
A) True B) False

7)

15 > 13
A) True B) False

8)

-8 ? 15
A) False B) True

9)

-? ? -?
A) True B) False

10) ? < 3

A) False B) True

 

7 Evaluate Absolute Value

 

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

 

Rewrite the expression without absolute value bars.

1)

|13|
A) 13 B) -13 C) 26 D) 0

2)

|-2|
A) 2 B) -2 C) 4 D) 0

3)        19

 

-1

 

 

A) 19 B) -1 C) 1 D) -19
4) 10 – 13
A) 13 – 10 B)   10 – 13 C) -3 D) 3
5) |5 + (-10)|
A) 5 B) 15 C) -5 D) -15
6) -4

-9

B) 13 C) -5 D) -13
A) 5
7) -6

+

-8

B) 2 C) -2 D) -14
A) 14

 

 

Evaluate the expression for the given values of x and y.

8)    |x| + |y|;   x = 6 and y = -3

x               y

 

A) 0                                                B) 2                                                C) 1                                                D) -1

 

 

 

 

 

 

 

 

 

 

 

Page 4

8 Use Absolute Value to Express Distance

 

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

 

Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.

1)

26 and 34
A) |26 – 34| = 8 B) -|34 – 26| = -8 C) |26 + 34| = 60 D) -|26 + 34| = -60

2)

-18 and -34
A) |(-18) – (-34)| = 16 B) |(-34) – (-18)| = -16
C) |(-34) + (-18)| = -52 D) |-(-18) + (-34)| = 52

3)

72 and -9
A) |72 – (-9)| = 81 B) |(-9) – 72| = -81 C) |72 + (-9)| = 63 D) |-72 + (-9)| = -63

4)

28.9 and 23.7
A) |28.9 – 23.7| = 5.2 B) |23.7 – 28.9| = -5.2
C) |28.9 + 23.7| = 52.6 D) |-28.9 + 23.7| = -52.6

5)

-14.7 and 24.3
A) |-14.7 – 24.3| = 39.0 B) |24.3 + (-14.7)| = -39.0
C) |24.3 – (-14.7)| = 9.6 D) |-14.7 + (-24.3)| = -9.6

6)

1.5 and 48.3
A) |1.5 – 48.3| = 46.8 B) |48.3 – 1.5| = -46.8
C) |48.3 + 1.5| = 49.8 D) -|1.5 + 48.3| = -49.8

 

9 Identify Properties of the Real Numbers

 

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

 

State the name of the property illustrated.

1)  6 + (-7) = (-7) + 6

 

A)   Commutative property of addition

B)   Associative property of addition

C)   Distributive property of multiplication over addition

D)   Identity property of addition

 

2)  17 · (6 + 8) = 17 · 6 + 17 · 8

 

A)   Distributive property of multiplication over addition

B)   Commutative property of multiplication

C)   Associative property of multiplication

D)   Commutative property of addition

 

3)  2 + (8 + 7) = (2 + 8) + 7

 

A)   Associative property of addition

B)   Commutative property of addition

C)   Distributive property of multiplication over addition

D)   Identity property of addition

 

 

 

 

 

 

Page 5

4)  (7 + 3) + 4 = (3 + 7) + 4

 

A)   Commutative property of addition

B)   Associative property of addition

C)   Distributive property of multiplication over addition

D)   Inverse property of addition

 

5)  5 · (6 · 17) = 5 · (17 · 6)

 

A)   Commutative property of multiplication

B)   Associative property of multiplication

C)   Distributive property of multiplication over addition

D)   Identity property of multiplication

 

6)  (9 + 6) + (7 + 19) = (7 + 19) + (9 + 6)

 

A)   Commutative property of addition

B)   Associative property of addition

C)   Distributive property of multiplication over addition

D)   Inverse property of addition

 

7)  3 · (19 · 2) = (19 · 2) · 3

 

A)   Commutative property of multiplication

B)   Associative property of multiplication

C)   Distributive property of multiplication over addition

D)   Identity property of multiplication

 

8)  (8 · 12) · 7 = 8 · (12 · 7)

 

A)   Associative property of multiplication

B)   Commutative property of multiplication

C)   Distributive property of multiplication over addition

D)   Identity property of multiplication

 

9)  7(x + 6) = 7x + 7 · 6

 

A)   Distributive property of multiplication over addition

B)   Commutative property of multiplication

C)   Associative property of multiplication

D)   Identity property of multiplication

 

10)  3(-5 + 7) = -15 + 21

 

A)   Distributive property of multiplication over addition

B)   Associative property of multiplication

C)   Associative property of addition

D)   Commutative property of multiplication

 

11)  -7(6 + 7) = -42 + (-49)

 

A)   Distributive property of multiplication over addition

B)   Associative property of multiplication

C)   Associative property of addition

D)   Commutative property of multiplication

 

12)

1

(x + 2) = 1, x ?-2

(x +

2)

A) Inverse property of multiplication B) Inverse property of addition
C) Commutative property of multiplication D) Identity property of multiplication

 

 

Page 6

13) (x + 3) + [-(x + 3)] = 0

A) Inverse property of addition                                                    B) Inverse property of multiplication

C) Commutative property of addition                                       D) Identity property of multiplication

 

10    Simplify Algebraic Expressions

 

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

 

Simplify the algebraic expression.

1)

-8(6r + 3) + 4(9r + 4)
A) -12r – 8 B) -2r – 5 C) -12r + 3 D) -72r

2)

(11z + 6) – (4z – 4)
A) 7z + 10 B) 7z + 2 C) 15z + 10 D) 7z – 10

3)

-6(2x – 9) – 4x + 5
A) -16x + 59 B) 8x + 59 C) 16x + 59 D) -16x – 49
Write the algebraic expression without parentheses.

4)

-(49x)
A) -49x B) 49x C) -49 – x D) 49 – x

5)

-8(-8z)
A) 64z B) -64z C) 64 – 8z D) 64 + z

6)

-(3x – 9)
A) -3x + 9 B) 3x – 9 C) -3x – 9 D) 27x

7)

-(-9 + 5y)
A) 9 – 5y B) 9 + 5y C) -9 + 5y D) 45y

8)

– (7z – 2w + 6y)
A) -7z + 2w – 6y B) -7z + 2w + 6y C) -7z – 2w + 6y D) -7z – 2w – 6y

9)

1 (5x) + [(4x) + (-4x)]
5
A) x B) 9x C) -7x D) 1

 

0.2    Exponents and Scientific Notation

 

1 Use the Product Rule

 

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

 

Simplify the exponential expression.

1) 83· 88
A) 811 B) 824 C) 6411 D) 6424
2) y · y11
A) y12 B) 2y11 C) y11 D) 2y12
3) x8· x9
A) x17 B) x72 C) 17x D) 72x

 

 

Page 7

4)

(3x4)(9x9)
A) 27x13 B) -27x13 C) 27x36 D) -27x36

5)

(-8x5y)(-3x3y6)
A) 24x8y7 B) -24x8y6 C) -11x8y6 D) 24x15y6

 

2 Use the Quotient Rule

 

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

 

Simplify the exponential expression.

1)    55

56

 

A)    1

5

 

2)      x14x10

 

A)   x4

 

3)     x2

 

x6

 

A)    1 x4

4)    6x10

 

x7

A)   6x3

 

5)   -30x115x8

 

A)   -6x3

 

6)    x13y13

 

x2y2

A)   x11y11

 

7)    -32x12y118x8y3

A)   -4x4y8

 


 

 

 

 

 

 

 

B) 5 C) -12,500 D) 5
6
B) x24 C) x8 D)

1

x4
B) -x4 C) x4 D) –

1

x4

B) 216x3 C) 6x17 D) 18x
B) x2 C) x3 D) -6x2
B) x10y10 C) xy11 D) x10y11
B) x4y8 C) -4x3y4 D) -4x3y7

 

 

 

 

 

 

 

Page 8

8)      -27x73x10

 

 

A) -9 B) -9x3 C) -9 D) -9x2
x3 x2

 

9)     -10x13y12z65x7y3z5

 

A) -2x6y9z                                  B) x6y9z                                      C) -2x5y8z                                  D) -2x6y9

 

3 Use the ZeroExponent Rule

 

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

 

Simplify the exponential expression.

1) 40
A) 1 B) -1 C) 0 D) 4
2) (-2)0
A) 1 B) -1 C) 0 D) 2
3) -60
A) -1 B) 1 C) 0 D) 6
4) x6y0

1

A) x6 B) 1 C) 0 D)

x6

5) -7y0
A) -7 B) 1 C) 0 D) -6
6) (7b)0
A) 1 B) 0 C) b D) 7
7) -72x9y13

0

8x3y4
A) 1 B) x6y9 C) -9x6y9 D) 0

 

 

4 Use the NegativeExponent Rule

 

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

 

Simplify the exponential expression.

1) 3-4

A)

1

B) -81 C) 81 D)

1

81

12

2) (-3)-2

1

A) 1 B) -9 C) 9 D) –
9

9

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