Test Bank for ALGEBRA & TRIGONOMETRY 7th Edition by Robert Blitzer

Blitzer Algebra & Trigonometry 7e
Chapter P Test Item File

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) 7x + 8; x=3
A) 15 B) 13 C) 29 D) 42
Objective: (1) Evaluate Algebraic Expressions


2) 8x - 2; x = -2
A) 14 B) 18 C) -18 D) -14
Objective: (1) Evaluate Algebraic Expressions


3) 2(x + 1) + 12; x = -3
A) 2 B) 22 C) -8 D) 8
Objective: (1) Evaluate Algebraic Expressions
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4) 3x2 + 9y; x = 7 and y = 8
A) 255 B) 513 C) 219 D) 1,392
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Objective: (1) Evaluate Algebraic Expressions


5) (x + 3y)2 ; x = 2 and y = 3
A) 25 B) 11 C) 22 D) 121
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Objective: (1) Evaluate Algebraic Expressions


6) 3 + 6(x - 5)3 ; x=7
A) 72 B) 51 C) 15 D) -45
Objective: (1) Evaluate Algebraic Expressions
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7) x2 - 2(x - y); x = 8 and y = 2
A) 50 B) 52 C) -76 D) 46
??
Objective: (1) Evaluate Algebraic Expressions


7(x + 7)
8) ; x=5
2x + 4
??
19
A) B) 12 C) 6 D) - 1
2
Objective: (1) Evaluate Algebraic Expressions


y - 8x
9) ; x = -4 and y = 5
4x + xy
37 27 35 3
A) - B) - C) - D)
36 4 36 4
Objective: (1) Evaluate Algebraic Expressions




1

,Solve.
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10) 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 50°F to its equivalent temperature on the Celsius scale.
A) 10°C B) 46°C C) 32°C D) 2°C
Objective: (2) Use Mathematical Models


11) A stone is dropped from a tower that is 790 feet high. The formula h = 790 - 16t2 describes the stone's height
above the ground, h, in feet, t seconds after it was dropped. What is the stone's height 3 seconds after it is
released?
A) 646 ft B) 621 ft C) 656 ft D) 671 ft
Objective: (2) Use Mathematical Models


12) If a rock falls from a height of 80 meters above the ground, the height H (in meters) after x seconds can be
approximated using the formula H = 80 - 4.9x2 . What is the height of the rock after 2 seconds?
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A) -16.04 m B) 60.4 m C) 70.2 m D) 300.4 m
Objective: (2) Use Mathematical Models


13) As the relative humidity increases, the temperature seems higher than it is. The formula T = 0.115x + 59.63
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approximates the apparent temperature for an actual temperature of 65°F, where x is the relative humidity. What
is the apparent temperature (to the nearest degree) for a relative humidity of 50%?
A) 60°F B) 343°F C) 65°F D) 110°F
AN
Objective: (2) Use Mathematical Models


14) The winning times (in seconds) in a speed-skating event for men can be represented by the formula
T = 46.94 - 0.092x, 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 1974? Round to the nearest
hundredth.
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A) 2,529.79 sec B) 43.81 sec C) 42.89 sec D) 41.97 sec
Objective: (2) Use Mathematical Models
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15) 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 = 1.53x + 3.55. That is, x = 0
represents 1990, x = 1 represents 1991, and so on. According to the formula, how many items sold in 1996?
A) 30.48 millions B) 12.73 millions C) 3.55 millions D) 14.26 millions
??
Objective: (2) Use Mathematical Models


Find the intersection of the two sets.
16) {1, 7, 4, 8} {4, 6, 1}
A) {1, 4} B) {1} C) D) {1, 4, 8, 7, 6}
Objective: (3) Find the Intersection of Two Sets


17) {1, 3, 9} {5, 11}
A) {1, 9} B) C) {1, 5, 9, 3, 11} D) {3, 9}
Objective: (3) Find the Intersection of Two Sets


18) {1, 3, 4, 6}
A) {1, 3} B) {4, 6} C) D) {1, 3, 4, 6}
Objective: (3) Find the Intersection of Two Sets


2

,Find the union of the two sets.
19) {2, 4, 9, 11} {2, 4, 13}
A) B) {2, 4, 9, 11, 13} C) {9, 11, 13} D) {2, 4}
Objective: (4) Find the Union of Two Sets


20) {1, 11} {1, 4, 9}
A) {1, 4, 9, 11} B) {4, 9, 11} C) {1} D)
Objective: (4) Find the Union of Two Sets


21) {7, 9, 10, 12}
A) B) {7, 9, 10, 12} C) {10, 12} D) {7, 9}
Objective: (4) Find the Union of Two Sets


List all numbers from the given set B that are members of the given Real Number subset.
22) B = {10, 8, -4, 0, 0.9, 16} Integers
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A) 10, 0, 16 B) 10, -4, 0 C) 10, -4, 0, 16 D) 10, 0
Objective: (5) Recognize Subsets of the Real Numbers


23) B = {19, 7, -14, 0, 0.4, 4} Whole numbers
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A) 19, 0, 4 B) 19, 0 C) 19, -14, 0 D) 19, -14, 0, 4
Objective: (5) Recognize Subsets of the Real Numbers
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24) B = {4, 7, -9, 0, 0.4, 25} Natural numbers

A) 4, 0 B) 4, 0, 25 C) 4, 25 D) 4
Objective: (5) Recognize Subsets of the Real Numbers
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25) B = {20, 8, -2, 0, , 25, 0.9, 0.15} Rational numbers
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A) 20, 0, 25 B) 8, , 0.15
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8
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C) 8, 25 D) 20, -2, 0, , 25, 0.15, 0.9
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Objective: (5) Recognize Subsets of the Real Numbers
??
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26) B = {2, 7, -21, 0, , 25, 0.8, 0.95} Irrational numbers
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A) 7, 0.8 B) 7, 25, 0.95 C) 7 D) 7, 25, 0.8
Objective: (5) Recognize Subsets of the Real Numbers


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27) B = {14, 5, 0, , 25, -0.4, 0.02, -24} Real numbers
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1 1
A) 14, 5, 0, , 25, -0.4, 0.02, -24 B) 14, 0, , -0.4, 0.02, -24
2 2
1 1
C) 14, 5, 0, , 25, 0.02 D) 14, 5, , 25, -0.4, 0.02, -24
2 2
Objective: (5) Recognize Subsets of the Real Numbers


3

, Determine whether the statement is true or false.
28) 1 > 2
A) True B) False
Objective: (6) Use Inequality Symbols


29) 18 4
A) False B) True
Objective: (6) Use Inequality Symbols


30) -20 < 0
A) False B) True
Objective: (6) Use Inequality Symbols


31) 2 < -1
A) False B) True
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Objective: (6) Use Inequality Symbols


32) 7 4
A) False B) True
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Objective: (6) Use Inequality Symbols


33) -1 9
A) True B) False
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Objective: (6) Use Inequality Symbols


34) 22 > 14
A) False B) True
Objective: (6) Use Inequality Symbols
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35) -14 15
A) True B) False
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Objective: (6) Use Inequality Symbols


36)
A) False B) True
??
Objective: (6) Use Inequality Symbols


37) >3
A) True B) False
Objective: (6) Use Inequality Symbols


Rewrite the expression without absolute value bars.
38) |11|
A) 11 B) 22 C) 0 D) -11
Objective: (7) Evaluate Absolute Value




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