TEST ITEM FILE
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ALGEBRA & TRIGONOMETRY
SEVENTH EDITION
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Robert Blitzer
Miami Dade College
Elitedocs
, 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
4) 3x2 + 9y; x = 7 and y = 8
A) 255 B) 513 C) 219 D) 1,392
Objective: (1) Evaluate Algebraic Expressions
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5) (x + 3y)2 ; x = 2 and y = 3
A) 25 B) 11 C) 22 D) 121
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
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
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, 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?
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
approximates the apparent temperature for an actual temperature of 65°F, where x is the relative humidity. What
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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
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.
A) 2,529.79 sec B) 43.81 sec C) 42.89 sec D) 41.97 sec
Objective: (2) Use Mathematical Models
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
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, 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
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
C) 19, -14, 0 D) 19, -14, 0,
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A) 19, 0, 4 B) 19, 0 4
Objective: (5) Recognize Subsets of the Real Numbers
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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7
A) 20, 0, 25 B) 8, , 0.15
8
7
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
2
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
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