Test Bank for Precalculus Essentials 6th edition by Blitzer
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Test Bank
,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) 13 B) 51 C) 61 D) 112
Answer: C
2) -5 x - 9; x = -1
A) - 4 B) 14 C) 4 D) -14
Answer: A
3) 3(x + 2) + 8; x = -9
A) -13 B) 56 C) -40 D) 13
Answer: A
4) 6x2 + 8y; x = 4 and y = 7
A) 152 B) 1,008 C) 632 D) 326
Answer: A
5) (x + 2y) 2 ; x = 3 and y = 4
A) 22 B) 121 C) 25 D) 11
Answer: B
6) 6 + 6(x - 5)3 ; x=7
A) -42 B) 18 C) 54 D) 96
Answer: C
7) x 2 - 3(x - y); x = 8 and y = 2
A) 38 B) -82 C) 42 D) 46
Answer: D
9(x - 7)
x=5
2x + 8
A) - 2 B) - 1 C) 6 D) -
2
Answer: B
-
9) ; x = - 2 and y = 1
4x + xy
11
A) - B) C) - D)
10 10 2
Answer: A
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) 130°C B) 40°C C) 76°C D) 8°C
Answer: B
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) 335 ft B) 385 ft C) 360 ft D) 370 ft
Answer: C
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) 50.2 m B) 40.4 m C) -36.04 m D) 220.4 m
Answer: B
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) 85°F B) 138°F C) 552°F D) 78°F
Answer: A
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) 44.67 sec B) 42.71 sec C) 43.69 sec D) 2,013.35 sec
Answer: B
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) 20.52 millions B) 50.22 millions C) 18.86 millions D) 3.92 millions
Answer: C
Find the intersection of the two sets.
16) {1, 10, 4, 9} ∩ {4, 11, 1}
A) {1, 4} B) ∅ C) {1} D) {1, 4, 9, 10, 11}
Answer: A
17) {1, 3, 8} ∩ {4, 11}
A) {1, 4, 8, 3, 11} B) {3, 8} C) ∅ D) {1, 8}
Answer: C
18) {4, 6, 7, 9} ∩ ∅
A) {4, 6, 7, 9} B) {7, 9} C) {4, 6} D) ∅
Answer: D
2
, Find the uni on of the two sets.
19) {2, 4, 8, 11} ∪ {2, 4, 13}
A) {2, 4} B) ∅ C) {2, 4, 8, 11, 13} D) {8, 11, 13}
Answer: C
20) {2, 10} ∪ {2, 5, 8}
A) {2, 5, 8, 10} B) ∅ C) {2} D) {5, 8, 10}
Answer: A
21) {8, 10, 11, 13} ∪ ∅
A) ∅ B) {11, 13} C) {8, 10, 11, 13} D) {8, 10}
Answer: C
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, -8 , 0 B) 11, 0, 9 C) 11, 0 D) 11, -8, 0, 9
Answer: D
23) B = {11, 6, -6 , 0, 0.8, 25} Whole numbers
A) 11, -6 , 0 B) 11, 0 C) 11, - 6 , 0, 25 D) 11, 0, 25
Answer: D
24) B = {4, 5, -6 , 0, 0.6, 9} Natural numbers
A) 4, 0 B) 4 C) 4, 0, 9 D) 4, 9
Answer: D
25) B = {17, 7, -12, 0, , 16, 0.8, 0.97} Rational numbers
2
A) 17, 0, 16 B) 17, -12, 0, , 16, 0.97, 0.8
2
C) 7, 16 D) 7, , 0.97
2
Answer: B
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 D) 8, 0.2
Answer: C
27) B = {15, 7, 0, , 25, -0.9, 0.1, -9} Real numbers
4
A) 15, 0, , -0.9 , 0.1, - 9 B) 15, 7, , 25, -0.9 , 0.1, - 9
4 4
C) 15, 7, 0, , 25, -0.9, 0.1, - 9 D) 15, 7, 0, , 25, 0.1
4 4
Answer: C
3
CLICK HERE TO ACCESS COMPLETE Test Bank
Test Bank
,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) 13 B) 51 C) 61 D) 112
Answer: C
2) -5 x - 9; x = -1
A) - 4 B) 14 C) 4 D) -14
Answer: A
3) 3(x + 2) + 8; x = -9
A) -13 B) 56 C) -40 D) 13
Answer: A
4) 6x2 + 8y; x = 4 and y = 7
A) 152 B) 1,008 C) 632 D) 326
Answer: A
5) (x + 2y) 2 ; x = 3 and y = 4
A) 22 B) 121 C) 25 D) 11
Answer: B
6) 6 + 6(x - 5)3 ; x=7
A) -42 B) 18 C) 54 D) 96
Answer: C
7) x 2 - 3(x - y); x = 8 and y = 2
A) 38 B) -82 C) 42 D) 46
Answer: D
9(x - 7)
x=5
2x + 8
A) - 2 B) - 1 C) 6 D) -
2
Answer: B
-
9) ; x = - 2 and y = 1
4x + xy
11
A) - B) C) - D)
10 10 2
Answer: A
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) 130°C B) 40°C C) 76°C D) 8°C
Answer: B
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) 335 ft B) 385 ft C) 360 ft D) 370 ft
Answer: C
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) 50.2 m B) 40.4 m C) -36.04 m D) 220.4 m
Answer: B
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) 85°F B) 138°F C) 552°F D) 78°F
Answer: A
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) 44.67 sec B) 42.71 sec C) 43.69 sec D) 2,013.35 sec
Answer: B
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) 20.52 millions B) 50.22 millions C) 18.86 millions D) 3.92 millions
Answer: C
Find the intersection of the two sets.
16) {1, 10, 4, 9} ∩ {4, 11, 1}
A) {1, 4} B) ∅ C) {1} D) {1, 4, 9, 10, 11}
Answer: A
17) {1, 3, 8} ∩ {4, 11}
A) {1, 4, 8, 3, 11} B) {3, 8} C) ∅ D) {1, 8}
Answer: C
18) {4, 6, 7, 9} ∩ ∅
A) {4, 6, 7, 9} B) {7, 9} C) {4, 6} D) ∅
Answer: D
2
, Find the uni on of the two sets.
19) {2, 4, 8, 11} ∪ {2, 4, 13}
A) {2, 4} B) ∅ C) {2, 4, 8, 11, 13} D) {8, 11, 13}
Answer: C
20) {2, 10} ∪ {2, 5, 8}
A) {2, 5, 8, 10} B) ∅ C) {2} D) {5, 8, 10}
Answer: A
21) {8, 10, 11, 13} ∪ ∅
A) ∅ B) {11, 13} C) {8, 10, 11, 13} D) {8, 10}
Answer: C
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, -8 , 0 B) 11, 0, 9 C) 11, 0 D) 11, -8, 0, 9
Answer: D
23) B = {11, 6, -6 , 0, 0.8, 25} Whole numbers
A) 11, -6 , 0 B) 11, 0 C) 11, - 6 , 0, 25 D) 11, 0, 25
Answer: D
24) B = {4, 5, -6 , 0, 0.6, 9} Natural numbers
A) 4, 0 B) 4 C) 4, 0, 9 D) 4, 9
Answer: D
25) B = {17, 7, -12, 0, , 16, 0.8, 0.97} Rational numbers
2
A) 17, 0, 16 B) 17, -12, 0, , 16, 0.97, 0.8
2
C) 7, 16 D) 7, , 0.97
2
Answer: B
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 D) 8, 0.2
Answer: C
27) B = {15, 7, 0, , 25, -0.9, 0.1, -9} Real numbers
4
A) 15, 0, , -0.9 , 0.1, - 9 B) 15, 7, , 25, -0.9 , 0.1, - 9
4 4
C) 15, 7, 0, , 25, -0.9, 0.1, - 9 D) 15, 7, 0, , 25, 0.1
4 4
Answer: C
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