Test Bank for College Algebra: An Early Functions Approach 4th Edition by Robert Blitzer, All Chapters

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C OLLEGE ALGEBRA:
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AN EARLY FUNCTIONS APPROACH
FOURTH EDITION
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ROBERT BLITZER
Miami Dade College
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ISBN-13: 978-0-13-447041-2
ISBN-10: 0-13-447041-9

, Ch. 0 Chapter P: Prerequisites: Fundamental Concepts of Algebra
0.1 Algebraic Expressions, Mathematical Models, and Real Numbers
1 Evaluate Algebraic Expressions
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
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Evaluate the algebraic expression for the given value or values of the variable(s).
1) 8x + 4; x=4
A) 36 B) 64 C) 12 D) 28
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2) -8x + 2; x = -3
A) 26 B) -22 C) 22 D) -26

3) 3(x + 2) + 7; x = -5
A) -2 B) 2 C) 31 D) -17
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4) 9x2 + 8y; x = 3 and y = 4
A) 113 B) 761 C) 612 D) 168

5) (x + 2y)2; x = 2 and y = 4
A) 100 B) 10 C) 20 D) 16
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6) 4 + 4(x - 3)3; x=5
A) 36 B) 12 C) 64 D) -28

7) x2 - 2(x - y); x = 6 and y = 4
A) 32 B) 20 C) 28 D) -40
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5(x - 5)
8) ; x=3
2x + 4
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A) - 1 B) 4 C) -2 D) -
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y - 8x
9) ; x = -3 and y = 2
3x + xy
26 22 22 14
A) - B) C) D) -
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15 15 3 15

2 Use Mathematical Models
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Solve.
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1) The formula C = (F - 32) expresses the relationship between Fahrenheit temperature, F, and Celsius
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temperature, C. Use the formula to convert 86°F to its equivalent temperature on the Celsius scale.
A) 30°C B) 6°C C) 66°C D) 97°C
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, 2) A stone is dropped from a tower that is 760 feet high. The formula h = 760 - 16t2 describes the stone's
height above the ground, h, in feet, t seconds after it was dropped. What is the stone's height 2 seconds
after it is released?
A) 696 ft B) 706 ft C) 671 ft D) 721 ft

3) If a rock falls from a height of 90 meters above the ground, the height H (in meters) after x seconds can be
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approximated using the formula H = 90 - 4.9x2. What is the height of the rock after 4 seconds?
A) 11.6 m B) 1361.6 m C) -294.16 m D) 70.4 m

4) As the relative humidity increases, the temperature seems higher than it is. The formula T = 0.107x + 91.74
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approximates the apparent temperature for an actual temperature of 100°F, where x is the relative
humidity. What is the apparent temperature (to the nearest degree) for a relative humidity of 50%?
A) 97°F B) 491°F C) 142°F D) 92°F

5) The winning times (in seconds) in a speed-skating event for men can be represented by the formula
T = 46.24 - 0.099x, 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 1992? Round to the
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nearest hundredth.
A) 39.11 sec B) 3322.15 sec C) 40.10 sec D) 41.09 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 = 1.35x + 4.16. That
is, x = 0 represents 1990, x = 1 represents 1991, and so on. According to the formula, how many items sold
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in 1995?
A) 10.91 millions B) 4.16 millions C) 27.55 millions D) 12.26 millions

3 Find the Intersection of Two Sets
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find the intersection of the two sets.
1) {1, 10, 4, 9} ∩ {4, 6, 1}
A) {1, 4} B) {1} C) {1, 4, 9, 10, 6} D) ∅

2) {1, 10, 9} ∩ {4, 6}
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A) ∅ B) {10, 9} C) {1, 4, 9, 10, 6} D) {1, 9}

3) {4, 6, 7, 9} ∩ ∅
A) ∅ B) {4, 6, 7, 9} C) {4, 6} D) {7, 9}
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4 Find the Union of Two Sets
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
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Find the union of the two sets.
1) {2, 5, 8, 10} ∪ {2, 5, 13}
A) {2, 5, 8, 10, 13} B) {2, 5} C) {8, 10, 13} D) ∅

2) {2, 10} ∪ {2, 5, 9}
A) {2, 5, 9, 10} B) {2} C) {5, 9, 10} D) ∅
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3) {5, 7, 8, 10} ∪ ∅
A) {5, 7, 8, 10} B) {5, 7} C) {8, 10} D) ∅


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