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PRECALCULUS
SEVENTH EDITION
PRECALCULUS ESSENTIALS
SIXTH EDITION
Robert Blitzer
Miami Dade College
,Blitzer Precalculus 7e
Chapter P Test Item File
M U L T I P L E C H O I C E . 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) - 5 x - 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) 6x 2 + 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) x 2 - 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) 2x + 8 x=5
A) - 1 B) - 2 C) 6 D) -
2
Objective: (0.1) Evaluate Algebraic Expressions
y - 6x
9) 4x + xy x = - 2 and y = 1
11
A) - B) C) - D)
2 10 10
Objective: (0.1) Evaluate Algebraic Expressions
1
, Solve.
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) A s 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
2