Precalculus – 7th Edition (Blitzer, 2025 Update) | Complete Test Bank with Correct Answers

PRECALCULUS TESTBANK 7TH
EDITION BLITZER



Blitzer Precalculus 7e

Chapter P Test Item File

ANSWERS AT THE
END OF DOCUMENT


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) 8x + 5; x=7
A) 51 B) 13 C) 61 D) 112
Objective: (0.1) Evaluate Algebraic Expressions


2) -5x - 9; x = -1
A) 14 B) 4 C) -4 D) -14
Objective: (0.1) Evaluate Algebraic Expressions


3) 3(x + 2) + 8; x = -9
A) 13 B) -40 C) -13 D) 56
Objective: (0.1) Evaluate Algebraic Expressions


4) 6x2 + 8y; x = 4 and y = 7
A) 632 B) 1,008 C) 152 D) 326
Objective: (0.1) Evaluate Algebraic Expressions


5) (x + 2y)2; x = 3 and y = 4
A) 22 B) 11 C) 25 D) 121
Objective: (0.1) Evaluate Algebraic Expressions


6) 6 + 6(x - 5)3; x=7
A) 96 B) 54 C) -42 D) 18
Objective: (0.1) Evaluate Algebraic Expressions

,7) x2 - 3(x - y); x = 8 and y = 2
A) -82 B) 38 C) 42 D) 46
Objective: (0.1) Evaluate Algebraic Expressions

9(x - 7)
8) ; x=5
2x + 8
9
A) - 1 B) -2 C) 6 D) -
2
Objective: (0.1) Evaluate Algebraic Expressions


y - 6x
9) ; x = -2 and y = 1
4x + xy
1 11 13 11
A) - B) C) - D)
2 6 10 10
Objective: (0.1) Evaluate Algebraic Expressions

,Solve.
5
10) The formula C = (F - 32) expresses the relationship between Fahrenheit temperature, F, and Celsius
9
temperature, C. Use the formula to convert 104°F to its equivalent temperature on the Celsius scale.
A) 76°C B) 40°C C) 8°C D) 130°C
Objective: (0.1) Use Mathematical Models


11) 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 5 seconds after it is
released?
A) 370 ft B) 360 ft C) 335 ft D) 385 ft
Objective: (0.1) Use Mathematical Models


12) If a rock falls from a height of 60 meters above the ground, the height H (in meters) after x seconds can be
approximated using the formula H = 60 - 4.9x2. What is the height of the rock after 2 seconds?
A) -36.04 m B) 50.2 m C) 40.4 m D) 220.4 m
Objective: (0.1) Use Mathematical Models


13) As the relative humidity increases, the temperature seems higher than it is. The formula T = 0.118x + 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 60%?
A) 78°F B) 85°F C) 138°F D) 552°F
Objective: (0.1) Use Mathematical Models


14) The winning times (in seconds) in a speed-skating event for men can be represented by the formula
T = 46.92 - 0.098x, 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 1963? Round to the nearest
hundredth.
A) 42.71 sec B) 44.67 sec C) 43.69 sec D) 2,013.35 sec
Objective: (0.1) 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 = 1.66x + 3.92. That is, x = 0
represents 1990, x = 1 represents 1991, and so on. According to the formula, how many items sold in 1999?
A) 3.92 millions B) 50.22 millions C) 20.52 millions D) 18.86 millions
Objective: (0.1) Use Mathematical Models


Find the intersection of the two sets.
16) {1, 10, 4, 9} {4, 11, 1}
A) {1} B) {1, 4} C) {1, 4, 9, 10, 11} D)
Objective: (0.1) Find the Intersection of Two Sets


17) {1, 3, 8} {4, 11}
A) {1, 8} B) {3, 8} C) D) {1, 4, 8, 3, 11}
Objective: (0.1) Find the Intersection of Two Sets


18) {4, 6, 7, 9}
A) {4, 6, 7, 9} B) {7, 9} C) D) {4, 6}
Objective: (0.1) Find the Intersection of Two Sets

, Find the union of the two sets.
19) {2, 4, 8, 11} {2, 4, 13}
A) {2, 4} B) {2, 4, 8, 11, 13} C) D) {8, 11, 13}
Objective: (0.1) Find the Union of Two Sets


20) {2, 10} {2, 5, 8}
A) {5, 8, 10} B) C) {2} D) {2, 5, 8, 10}
Objective: (0.1) Find the Union of Two Sets


21) {8, 10, 11, 13}
A) {8, 10} B) C) {8, 10, 11, 13} D) {11, 13}
Objective: (0.1) 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 = {11, 5, -8, 0, 0.8, 9} Integers
A) 11, 0 B) 11, -8, 0, 9 C) 11, -8, 0 D) 11, 0, 9
Objective: (0.1) Recognize Subsets of the Real Numbers


23) B = {11, 6, -6, 0, 0.8, 25} Whole numbers
A) 11, -6, 0 B) 11, -6, 0, 25 C) 11, 0 D) 11, 0, 25
Objective: (0.1) Recognize Subsets of the Real Numbers


24) B = {4, 5, -6, 0, 0.6, 9} Natural numbers

A) 4, 9 B) 4, 0 C) 4, 0, 9 D) 4
Objective: (0.1) Recognize Subsets of the Real Numbers

1
25) B = {17, 7, -12, 0, , 16, 0.8, 0.97} Rational numbers
2

A) 17, 0, 16 B) 7, 16
1 1
C) 17, -12, 0, , 16, 0.97, 0.8 D) 7, , 0.97
2 2
Objective: (0.1) Recognize Subsets of the Real Numbers

7
26) B = {20, 8, -5, 0, , 4, 0.2, 0.33} Irrational numbers
8
A) 8, 4, 0.2 B) 8, 4, 0.33 C) 8, 0.2 D) 8
Objective: (0.1) Recognize Subsets of the Real Numbers

3
27) B = {15, 7, 0, , 25, -0.9, 0.1, -9} Real numbers
4
3 3
A) 15, 7, 0, , 25, 0.1 B) 15, 7, , 25, -0.9, 0.1, -9
4 4
3 3
C) 15, 7, 0, , 25, -0.9, 0.1, -9 D) 15, 0, , -0.9, 0.1, -9
4 4
Objective: (0.1) Recognize Subsets of the Real Numbers