,Test Bank for Precalculus Essentials 6th Edition
Chapter 0 Prerequisites: Fundamental Concepts of Algebra
Chapter 0 Prerequisites: Fundamental Concepts of Algebra
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 1)
A) 112 B) 13 C) 51 D) 61
2) -5x - 9; x = -1 2)
A) 4 B) -14 C) -4 D) 14
3) 3(x + 2) + 8; x = -9 3)
A) -13 B) -40 C) 13 D) 56
4) 6x2 + 8y; x = 4 and y = 7 4)
A) 152 B) 632 C) 326 D) 1,008
5) (x + 2y)2; x = 3 and y = 4 5)
A) 11 B) 121 C) 22 D) 25
6) 6 + 6(x - 5)3; x=7 6)
A) 96 B) -42 C) 18 D) 54
7) x2 - 3(x - y); x = 8 and y = 2 7)
A) 38 B) 46 C) 42 D) -82
9(x - 7)
8) ; x=5 8)
2x + 8
9
A) -2 B) - 1 C) - D) 6
2
y - 6x
9) ; x = -2 and y = 1 9)
4x + xy
1 B) 13 11 11
A) - - C) D)
2 10 10 6
Solve.
5
10) The formula C = (F - 32) expresses the relationship between Fahrenheit temperature, F, and 10)
9
Celsius temperature, C. Use the formula to convert 104°F to its equivalent temperature on the
Celsius scale.
A) 130°C B) 8°C C) 40°C D) 76°C
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 11)
5 seconds after it is released?
A) 385 ft B) 360 ft C) 335 ft D) 370 ft
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,Test Bank for Precalculus Essentials 6th Edition
Chapter 0 Prerequisites: Fundamental Concepts of Algebra
2
, Test Bank for Precalculus Essentials 6th Edition
Chapter 0 Prerequisites: Fundamental Concepts of Algebra
12) If a rock falls from a height of 60 meters above the ground, the height H (in meters) after x seconds 12)
can be approximated using the formula H = 60 - 4.9x2. What is the height of the rock after 2
seconds?
A) 50.2 m B) 220.4 m C) 40.4 m D) -36.04 m
13) As the relative humidity increases, the temperature seems higher than it is. The formula T = 0.118x 13)
+ 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) 85°F B) 138°F C) 552°F D) 78°F
14) The winning times (in seconds) in a speed-skating event for men can be represented by the formula 14)
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) 44.67 sec B) 42.71 sec C) 2,013.35 sec D) 43.69 sec
15) It is estimated that y, the number of items of a particular commodity (in millions) sold in the United 15)
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) 50.22 millions B) 18.86 millions C) 20.52 millions D) 3.92 millions
Find the intersection of the two sets.
16) {1, 10, 4, 9} n {4, 11, 1} 16)
A) ø B) {1, 4} C) {1} D) {1, 4, 9, 10, 11}
17) {1, 3, 8} n {4, 11} 17)
A) {1, 8} B) {3, 8} C) {1, 4, 8, 3, 11} D) ø
18) {4, 6, 7, 9} nø 18)
A) {7, 9} B) {4, 6} C) ø D) {4, 6, 7, 9}
Find the union of the two sets.
19) {2, 4, 8, 11} u {2, 4, 13} 19)
A) {2, 4} B) ø C) {2, 4, 8, 11, 13} D) {8, 11, 13}
20) {2, 10} u {2, 5, 8} 20)
A) {5, 8, 10} B) ø C) {2} D) {2, 5, 8, 10}
21) {8, 10, 11, 13} u ø 21)
A) {11, 13} B) {8, 10, 11, 13} C) ø D) {8, 10}
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 22)
9 9
3