Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the
question.
Solve.
1)
1)
The line graph shows the percentage of high school seniors who used alcohol or marijuana in a
certain state.
1985 1990 1995 2000 2005 2010
Year
Use the appropriate line graph to estimate the percentage of seniors who used marijuana in 1985.
A)
33%
B)
37%
C)
69%
D)
63%
Write the fraction in lowest terms.
2)
22
26
2)
A)
11
2
B)
2
13
C)
11
13
D)
22
26
Simplify the algebraic expression.
3)
3)
2+ (x + 4)
A)
x + 6
B)
x + 8
C)
6x
D)
2x + 8
Determine whether the inequality is true or false.
4)
4)
17 < – 12
A)
True
B)
False
Find the sum without the use of a number line.
5)
5)
7+25 + (–23)
A)
55
B)
–41
C)
9
D)
5
Find the sum using a number line.
6)
6)
–2+ 3
A)
5
B)
–5
C)
1
D)
–1
2
Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
7)
7
8–3
8
7)
A)
2
3
B)
1
2
C)
1
4
D)
5
8
Graph the numbers on a number line.
8)
–17
3, –3, –1, 5
3
8)
A)
B)
C)
D)
Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
9)
2
19 ÷5
16
9)
A)
32
95
B)
32
93
C)
6
19
D)
31
95
Identify the terms in the algebraic expression.
10)
10)
7a – 5ab – 2
A)
7a, –5ab
B)
7a, –5ab, 2
C)
7a, –5ab, –2
D)
7a, 5ab, –2
Perform the indicated division or state that the expression is undefined.
11)
–63
0
11)
A)
63
B)
0
C)
1
D)
undefined
Simplify the algebraic expression.
12)
12)
5x – (2x –3)
A)
–3x + 3
B)
3x + 3
C)
–3x – 3
D)
3x – 3
Write the fraction in lowest terms.
13)
104
147
13)
A)
52
104
B)
147
52
C)
52
73
D)
104
147
Write a positive or negative integer that describes the situation.
14)
14)
40° below zero
A)
40
B)
–40
Use the order of operations to simplify the expression.
15)
50(12 –9) –24
32– 3
15)
A)
25
B)
26
C)
42
D)
21
Perform the indicated multiplication.
16)
16)
(–7)(–3)(–5)
A)
105
B)
–115
C)
–105
D)
–5
Write the English phrase as an algebraic expression. Let the variable x represent the number.
17)
17)
Six times a number, decreased by fourteen
A)
6x –14
B)
6x –84
C)
6x +14
D)
14 –6x
Find the sum without the use of a number line.
18)
18)
2+ (–2) +4+ (–7) +1+ (–17)
A)
–33
B)
–27
C)
–19
D)
–23
5
Find the multiplicative inverse.
19)
–2
7
19)
A)
–7
2
B)
–2
7
C)
7
2
D)
7
Find the sum without the use of a number line.
20)
20)
16 + (–20) + (–6)
A)
30
B)
2
C)
42
D)
–10
21)
–1
9+ – 5
9
21)
A)
–1
3
B)
2
3
C)
–1
2
D)
–2
3
Perform the indicated division or state that the expression is undefined.
22)
–1
3÷ – 7
12
22)
A)
7
4
B)
–7
36
C)
–4
7
D)
4
7
6
Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
23)
7
8÷1
2
23)
A)
4
5
B)
7
16
C)
7
4
D)
9
8
Perform the indicated division or state that the expression is undefined.
24)
24)
34 ÷ (–2)
A)
–17
B)
–1
17
C)
–27
D)
17
Insert either < or > in the area between the pair of numbers to make a true statement.
25)
–10
17 –1
5
25)
A)
>
B)
<
7
An algebraic expression is given. Use the expression to answer the following questions.
a) How many terms are there in the algebraic expression?
b) What is the numerical coefficient of the first term?
c) What is the constant term?
d) Does the algebraic expression contain like terms? If so, what are the like terms?
26)
26)
x +2+5x
A)
a) 3
b) 5
c) 2
d) yes, x and 5x
B)
a) 2
b) 1
c) 2
d) yes, x and 5x
C)
a) 3
b) 1
c) 2
d) no
D)
a) 3
b) 1
c) 2
d) yes, x and 5x
Convert the improper fraction to a mixed number.
27)
13
3
27)
A)
41
3
B)
51
3
C)
41
7
D)
31
3
Solve.
28)
28)
The speed in feet per second of a ball dropped from a tower is given by the algebraic expression
32t where t is the number of seconds since the ball was dropped. Find the speed of the ball after 9
seconds.
A)
32 ft/sec
B)
288 ft/sec
C)
9 ft/sec
D)
278 ft/sec
Use the order of operations to simplify the expression.
29)
5[7 +6(32)]
29)
A)
3125
B)
305
C)
1655
D)
15,625
Find the sum without the use of a number line.
30)
30)
–4.9 + (–0.8)
A)
–4.1
B)
4.1
C)
3.92
D)
–5.7
Translate from English to an algebraic expression or equation, whichever is appropriate. Let the variable x represent
the number.
31)
1
2 of a number
31)
A)
2x
B)
x +1
2
C)
x –1
2
D)
1
2x
Evaluate the algebraic expression for the given value(s).
32)
32)
3x, given x = 4
A)
3
B)
4
C)
12
D)
7
Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
33)
8
19 ÷8
11
33)
A)
9
19
B)
11
17
C)
10
19
D)
11
19
Simplify the algebraic expression.
34)
34)
–5x + 8x
A)
–3x
B)
–13x
C)
3x
D)
13x
List all the elements of B that are elements of the given set.
35)
B = {15, 8, –2, 0, 0
1 , 16} Whole numbers
35)
A)
15, –2, 0
B)
15, 0
C)
15, –2, 0, 16
D)
15, 0, 0
1, 16
Perform the indicated subtraction.
36)
36)
11 – (–4)
A)
15
B)
–7
C)
–15
D)
7
Perform the indicated multiplication.
37)
37)
(–5)(5)(–5)(0)(–5)
A)
0
B)
–625
C)
625
D)
125
Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
38)
5
7–1
2
38)
A)
4
7
B)
3
14
C)
1
7
D)
4
9
Rewrite the division as multiplication involving a multiplicative inverse. Use the multiplication to find the given
quotient.
39)
39)
–42 ÷6
A)
–42 · – 1
6 ; 7
B)
–42 ·1
6 ; 7
C)
–42 ·1
6 ; –7
D)
–1
42 ·
(6) ; –1
7
Solve.
40)
40)
The line graph shows the target heart rate, in beats per minute, of people of various ages when
performing an exercise stress test.
Target Heart Rates for Stress Tests
Age
Use the line graph to estimate the target heart rate for a 30–year–old taking the test.
A)
104 beats per minute
B)
107 beats per minute
C)
111 beats per minute
D)
99 beats per minute
Perform the indicated division or state that the expression is undefined.
41)
41)
0 ÷ (–13)
A)
13
B)
1
C)
0
D)
undefined
Solve.
42)
42)
Life expectancy for the average man in a certain country is 74.1 years; for a woman, it‘s 79.5
years. The number line, with points representing integers, indicates factors, many within our
control, that can stretch or shrink one’s probable life span. If you regularly work puzzles and you
smoke cigarettes, do you stretch or shrink your life span? By how many years?
Years of Life Gained or Lost
A denotes “Smoke cigarettes”
B denotes “Regularly work puzzles”
A)
shrink by 8 yr
B)
stretch by 10 yr
C)
stretch by 9 yr
D)
shrink by 7 yr
Perform the indicated multiplication.
43)
43)
–3.2(–10)
A)
–6.8
B)
–13.2
C)
13.2
D)
32
Use the order of operations to simplify the expression.
44)
44)
5[–5+ 2(–8+ 4)]
A)
60
B)
56
C)
–65
D)
–33
Find the sum without the use of a number line.
45)
45)
–15 + (–9) + (–23) + (–12)
A)
–59
B)
–29
C)
17
D)
–11