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Exam

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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) 4x + 5; x=5 1)
A) 15 B) 9 C) 25 D) 40

2) 4x - 3; x = -5 2)
A) -23 B) -17 C) 23 D) 17

3) 6(x + 7) + 22; x = -11 3)
A) -2 B) 112 C) -68 D) 2


4) 6x2 + 9y; x = 2 and y = 4 4)
A) 60 B) 312 C) 180 D) 114


5) (x + 4y)2; x = 3 and y = 3 5)
A) 30 B) 225 C) 49 D) 15


6) 4 + 6(x - 3)3; x=5 6)
A) -44 B) 16 C) 52 D) 80


7) x2 - 4(x - y); x = 6 and y = 4 7)
A) 8 B) -44 C) 16 D) 28

7(x + 5) ; x=3
8) 8)
2x + 8
13
A) 8 B) 4 C) - 1 D)
2


y - 9x ; x = -4 and y = 3
9) 9)
7x + xy
39 33 3 33
A) - B) C) - D)
40 40 5 16


Solve.
10) The formula C = 5 (F - 32) expresses the relationship between Fahrenheit temperature, F, and 10)
9
Celsius temperature, C. Use the formula to convert 77°F to its equivalent temperature on the
Celsius scale.
A) 81°C B) 25°C C) 61°C D) 5°C




1

, 11) A stone is dropped from a tower that is 760 feet high. The formula h = 760 - 16t2 describes the 11)
stone's height above the ground, h, in feet, t seconds after it was dropped. What is the stone's
height 1 seconds after it is released?
A) 719 ft B) 769 ft C) 744 ft D) 754 ft

12) If a rock falls from a height of 50 meters above the ground, the height H (in meters) after x 12)
seconds can be approximated using the formula H = 50 - 4.9x2. What is the height of the rock
after 3 seconds?
A) 35.3 m B) 5.9 m C) -166.09 m D) 405.9 m

13) As the relative humidity increases, the temperature seems higher than it is. The formula T = 13)
0.119x + 91.74 approximates the apparent temperature for an actual temperature of 100°F, where
x is the relative humidity. What is the apparent temperature (to the nearest degree) for a relative
humidity of 90%?
A) 102°F B) 182°F C) 983°F D) 92°F

14) The winning times (in seconds) in a speed-skating event for men can be represented by the 14)
formula T = 46.01 - 0.097x, 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 1992? Round to the nearest hundredth.
A) 40.97 sec B) 39.03 sec C) 40.00 sec D) 3305.74 sec

15) It is estimated that y, the number of items of a particular commodity (in millions) sold in the 15)
United States in year x, where x represents the number of years since 1990, is given by the
formula y = 1.93x + 2.86. That is, x = 0 represents 1990, x = 1 represents 1991, and so on.
According to the formula, how many items sold in 1995?
A) 14.44 millions B) 23.95 millions C) 12.51 millions D) 2.86 millions

Find the intersection of the two sets.
16) {2, 10, 5, 8} ∩ {5, 11, 2} 16)
A) {2, 5} B) ∅ C) {2} D) {2, 5, 8, 10, 11}

17) {2, 10, 8} ∩ {5, 6} 17)
A) {2, 5, 8, 10, 6} B) {10, 8} C) ∅ D) {2, 8}

18) {7, 9, 10, 12} ∩ ∅ 18)
A) {7, 9, 10, 12} B) {10, 12} C) {7, 9} D) ∅

Find the union of the two sets.
19) {1, 5, 8, 10} ∪ {1, 5, 12} 19)
A) {1, 5} B) ∅ C) {1, 5, 8, 10, 12} D) {8, 10, 12}

20) {1, 10} ∪ {1, 4, 8} 20)
A) {1, 4, 8, 10} B) ∅ C) {1} D) {4, 8, 10}

21) {3, 5, 6, 8} ∪ ∅ 21)
A) ∅ B) {6, 8} C) {3, 5, 6, 8} D) {3, 5}




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,List all numbers from the given set B that are members of the given Real Number subset.
22) B = {18, 7, -17, 0, 0.4, 16} Integers 22)
A) 18, -17, 0 B) 18, 0, 16
C) 18, 0 D) 18, -17, 0, 16


23) B = {12, 5, -2, 0, 0.4, 25} Whole numbers 23)
A) 12, -2, 0 B) 12, 0 C) 12, -2, 0, 25 D) 12, 0, 25


24) B = {6, 8, -24, 0, 0.3, 16} Natural numbers 24)

A) 6, 0 B) 6 C) 6, 0, 16 D) 6, 16

6
25) B = {14, 8, -8, 0, , 9, 0.8, 0.83} Rational numbers 25)
7

A) 14, 0, 9 B) 14, -8, 0, 6 , 9, 0.83, 0.8
7

C) 8, 9 D) 8, 6 , 0.83
7


26) B = {3, 6, -20, 0, 3 , 25, 0.2, 0.35} Irrational numbers 26)
4
A) 6, 25, 0.2 B) 6, 25, 0.35
C) 6 D) 6, 0.2


27) B = {12, 5, 0, 3 , 25, -0.2, 0.67, -21} Real numbers 27)
4
3 3
A) 12, 0, , -0.2, 0.67, -21 B) 12, 5, , 25, -0.2, 0.67, -21
4 4

C) 12, 5, 0, 3 , 25, -0.2, 0.67, -21 D) 12, 5, 0, 3 , 25, 0.67
4 4


Determine whether the statement is true or false.
28) 3 > 21 28)
A) False B) True

29) 10 ≥ 9 29)
A) True B) False

30) -31 < 0 30)
A) True B) False

31) 20 < -12 31)
A) True B) False




3

, 32) 24 ≤ 9 32)
A) False B) True

33) -19 ≤ 22 33)
A) False B) True

34) 20 > 7 34)
A) True B) False

35) -2 ≥ 4 35)
A) True B) False

36) -! ≥ -! 36)
A) False B) True

37) ! < 3 37)
A) False B) True

Rewrite the expression without absolute value bars.
38) |12| 38)
A) 0 B) 12 C) 24 D) -12

39) |-5| 39)
A) -5 B) 10 C) 0 D) 5

-13
40) 40)
1
A) 13 B) -13 C) -1 D) 1


41) 10 - 5 41)
A) 10 - 5 B) -5 C) 5 - 10 D) 5

42) |1 + (-14)| 42)
A) -13 B) 13 C) 15 D) -15

43) -5 - -9 43)
A) 4 B) 14 C) -14 D) -4

44) -2 + -4 44)
A) 2 B) -6 C) -2 D) 6

Evaluate the expression for the given values of x and y.
|x| + |y| ; x = 3 and y = -4
45) 45)
x y
A) 2 B) -1 C) 0 D) 1




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