Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Substitute to find the value of the expression.
1)
Traveling at r kilometers per hour for t hours, a driver will travel rt kilometers. How far will Danny travel in 10
hours at a speed of 99 kilometers per hour?
A)
9.9 km
B)
109 km
C)
990 mi
D)
990 km
2)
A plane flies at 685 miles per hour. The time, in hours, for the plane to travel a distance of d miles is d
685. How
long will it take for the plane to travel 8220 miles?
A)
12 hr
B)
0.08 hr
C)
15 hr
D)
5,630,700 hr
3)
A train must cover a distance of 2673 miles. The velocity, in miles per hour, of the train is 2673
t where t is the
time, in hours, to complete the trip. If the train completes the trip in 27 hours, what is its velocity?
A)
94 mph
B)
99 mph
C)
0.01 mph
D)
72,171 mph
4)
The area of a triangle with base b and height h is given by the formula A =1
2bh. Find the area of a triangle
when the base is 5.3 centimeters and the height is 7.2 centimeters.
A)
0.37 cm2
B)
15.264 cm2
C)
38.16 cm2
D)
19.08 cm2
5)
The area of a rectangle of length
and width w is given by the formula A =
w. Ann’s backyard is rectangular
with a length of 34.5 yards and a width of 13.0 yards. Find the area of Ann’s backyard.
A)
448.50 yd
B)
448.50 yd2
C)
47.5 yd2
D)
47.5 yd
6)
In one store, bananas cost 60 cents per pound. The cost, in dollars, of x pounds of bananas is 0.6x. What is the
cost of 1.3 pounds of bananas?
A)
$0.98
B)
$0.22
C)
$2.17
D)
$0.78
7)
Bill takes four times as long to do a job as Jose. Suppose t represents the time it takes Bill to do the job. Then t/4
represents the time it takes Jose. How long does it take Jose if it takes Bill 63 minutes?
A)
252.00 min
B)
59.00 min
C)
67.00 min
D)
15.75 min
8)
Mary earns three times as much per week as Maureen. If x represents the amount that Maureen earns per week,
then 3x represents the amount that Mary earns per week. How much does Mary earn per week if Maureen
earns $349 per week?
A)
$1047
B)
$352
C)
$116.33
D)
$346
Evaluate.
9)
x + y, when x =3 and y =8
A)
11
B)
-11
C)
24
D)
-5
10)
2x, when x = 4
A)
36
B)
8
C)
20
D)
6
11)
p
q, when p =16 and q =4
A)
5
B)
41
4
C)
3
D)
4
12)
9m
n, when m =20 and n =4
A)
5
B)
45
C)
9
D)
90
13)
x + y
10 , when x =13 and y =57
A)
6
B)
8
C)
5
D)
7
14)
7x +7y
7, when x =42 and y =21
A)
63
B)
49
C)
45
D)
441
Translate the phrase to an algebraic expression.
15)
Two times x
A)
2– x
B)
2+ x
C)
2x
D)
2
x
16)
Three multiplied by x
A)
3+ x
B)
3x
C)
3
x
D)
3– x
17)
Two more than x
A)
2x
B)
x +2
C)
2
x
D)
2– x
18)
x increased by three
A)
3
B)
3x
C)
x + 3
D)
x – 3
19)
Nine less than x
A)
9– x
B)
x –9
C)
9
x
D)
9x
B
20)
x subtracted from y
A)
y – x
B)
y
x
C)
x
y
D)
x – y
A
21)
The quotient of x divided by five
A)
5x
B)
5+ x
C)
5– x
D)
x
5
D
22)
Two divided by x
A)
2x
B)
2
x
C)
2+ x
D)
2– x
B
23)
Twice x
A)
3 + x
B)
3x
C)
2x
D)
2 + x
C
24)
The sum of x and y
A)
xy
B)
x
y
C)
x + y
D)
2xy
C
Translate to an algebraic expression.
25)
Robbie drove his car at 50 mph for x hours. How many miles did he travel?
A)
50
x
B)
50x
C)
50 –x
D)
x
50
B
26)
Leanne had $21 remaining after paying y dollars for a dinner and a movie. How much did she have at the start
of the evening?
A)
y– $21
B)
$21y
C)
$21 –y
D)
$21 +y
D
27)
Monica had $31 before spending y dollars for a snack. How much money remains?
A)
$31 +y
B)
$31y
C)
$31 –y
D)
y– $31
C
C
28)
Alex had y dollars before spending $32.50 for a book. How much did he have after the purchase?
A)
$32.50 +y
B)
y– $32.50
C)
$32.50 –y
D)
$32.50y
State the real number that corresponds to the situation.
29)
The stock market lost 19 points on Monday.
A)
-19
B)
19
30)
During one year, 28 employees started work at Newline Manufacturing Company.
A)
-28
B)
28
31)
A football team lost 8 yards on one play.
A)
-8
B)
8
32)
In one state, the highest point is 4092 feet above sea level.
A)
-4092
B)
4092
33)
One country exported $74,800,000 less than it imported, giving it a negative trade balance.
A)
-74,800,000
B)
74,800,000
34)
Sales at Andrea’s Formal Wear Shop were $5209 less this week than the sales last week.
A)
-5209
B)
5209
35)
Mr. Voss decreased his speed by 18 miles per hour.
A)
18
B)
-18
36)
On a cloudy day, the water temperature in the swimming pool drops 2 degrees.
A)
-2
B)
2
37)
This year corn production decreased 8,000 pounds from last year on Steve’s farm.
A)
-8,000
B)
8,000
Graph the numbers on a number line.
38)
-5, -3, -1, 1
A)
B)
C)
D)
39)
-10, -8, -6, -4
A)
B)
C)
D)
40)
-4 2
3, -2, 0, 22
3
A)
B)
C)
D)
41)
-5.75, -3, –1, 1.25
A)
B)
C)
D)
Convert to decimal notation.
42)
–3
8
A)
0.375
B)
–0.375
C)
–0.375
D)
-0.375
43)
5
16
A)
0.9375
B)
0.3125
C)
0.625
D)
0.45
44)
11
6
A)
1.833
B)
1.83
C)
1.8
D)
1.83
45)
–1
3
A)
–0.3
B)
0.3
C)
–3
D)
0.33333333
46)
2
9
A)
0.2
B)
0.6
C)
0.2
D)
2.2
47)
–5
4
A)
-0.125
B)
-1.25
C)
–0.125
D)
-0.625
48)
17
16
A)
-1.0625
B)
1.0625
C)
3.1875
D)
2.125
49)
–17
10
A)
–1.7
B)
–1.7
C)
–0.17
D)
–3.4
50)
2
15
A)
0.13
B)
0.1
C)
0.1
D)
7.50
51)
–19
40
A)
–0.48
B)
–0.475
C)
–0.475
D)
–0.475
52)
23
99
A)
0.23
B)
0.23
C)
0.232
D)
0.23
Insert < or > to write a true statement.
53)
2 0
A)
2< 0
B)
2> 0
54)
0 -8
A)
0 >-8
B)
0 <-8
55)
-20 0
A)
-20 < 0
B)
-20 > 0
56)
-5 6
A)
-5 > 6
B)
-5 < 6
57)
65 -28
A)
65 <-28
B)
65 >-28
58)
-71 -41
A)
-71 >-41
B)
-71 <-41
59)
6.4 0.6
A)
6.4 >0.6
B)
6.4 <0.6
60)
0.444 1
A)
0.444 > 1
B)
0.444 < 1
61)
-9.01 -9.07
A)
-9.01 >-9.07
B)
-9.01 <-9.07
62)
–
8
7–
5
7
A)
–
8
7> –
5
7
B)
–
8
7< –
5
7
63)
– 5 – 9
5
A)
– 5 >– 9
5
B)
– 5 <– 9
5
64)
14
22
2
3
A)
14
22 >2
3
B)
14
22 <2
3
Write an inequality with the same meaning.
65)
26 <28
A)
28 26
B)
28 >26
C)
26 >28
D)
28 <26
66)
41 1
A)
41 >1
B)
41 1
C)
141
D)
141
67)
-3 x
A)
x -3
B)
x >-3
C)
-3 x
D)
x -3
68)
y >24
A)
y <24
B)
y 24
C)
24 > y
D)
24 < y
Determine whether the statement is true or false.
69)
5<3
A)
False
B)
True
70)
8>5
A)
True
B)
False
71)
512
A)
True
B)
False
72)
–25 >-14
A)
False
B)
True
73)
–20 -13
A)
False
B)
True
Find the absolute value.
74)
18
A)
18
B)
0
C)
–18
D)
36
75)
-12
A)
0
B)
–12
C)
24
D)
12
76)
125
A)
250
B)
125
C)
–125
D)
0
77)
-24.6
A)
49.2
B)
24.6
C)
0
D)
–24.6
78)
-6.875
A)
0
B)
-13.75
C)
6.875
D)
-6.875
79)
-0.006
A)
0.006
B)
0.012
C)
0
D)
–0.006
80)
– 1
2
A)
1
2
B)
1
C)
0
D)
– 1
2
81)
0
20
A)
0
B)
–20
C)
20
D)
undefined
82)
2
3
A)
0
B)
4
3
C)
2
3
D)
– 2
3
83)
-8 3
10
A)
0
B)
-8 3
10
C)
83
10
D)
-16 3
10
Add. Do not use a number line except as a check.
84)
5+ (-4)
A)
–1
B)
-9
C)
9
D)
1
85)
-9 + 8
A)
17
B)
-1
C)
1
D)
-17
86)
7+ (-35)
A)
-28
B)
28
C)
-42
D)
42
87)
-71 + 34
A)
-105
B)
-37
C)
105
D)
37
88)
5+-5
A)
–5
B)
10
C)
0
D)
5
89)
-66 + 0
A)
-660
B)
-66
C)
0
D)
66
90)
-65 + (-29)
A)
-94
B)
-36
C)
94
D)
36
91)
53 + (-26)
A)
-79
B)
27
C)
79
D)
-27
92)
-18 + (-39) +31 + (-85)
A)
59
B)
-75
C)
-111
D)
-173
93)
426 + (-40) +26 + (-492) + (-65) +216
A)
71
B)
201
C)
-71
D)
-1265
94)
-9.3 +5.2
A)
14.5
B)
-14.5
C)
-4.1
D)
4.1
95)
-1.7 +6.8
A)
8.5
B)
-5.1
C)
-8.5
D)
5.1
11
96)
-2.9 + (-7.9)
A)
10.8
B)
-5
C)
-10.8
D)
5
97)
-8.1 + (-7.9)
A)
-16
B)
16
C)
-0.2
D)
0.2
98)
2.1 + (-6.4)
A)
4.3
B)
-8.5
C)
-4.3
D)
8.5
99)
8.3 + (-3.7)
A)
8.3
B)
12
C)
-12
D)
4.6
100)
-1.2 + (-4.1) +3.4
A)
-0.5
B)
6.3
C)
-8.7
D)
-1.9
101)
-5.2 + (-1.5) +10.4
A)
-3.7
B)
-17.1
C)
6.7
D)
3.7
102)
-2.6 + (-6.8) + (-5.6) +10
A)
8.6
B)
-5
C)
6.2
D)
-11.4
103)
-46 +7.7 + (-12.4) + (-21) +52
A)
-10.3
B)
6.9
C)
-19.7
D)
-35.1
104)
–1
5+3
5
A)
– 4
5
B)
4
5
C)
2
5
D)
– 2
5
105)
–1
7+3
7
A)
– 2
7
B)
2
7
C)
4
7
D)
– 4
7
106)
–1
8+ – 5
8
A)
1
2
B)
– 3
4
C)
3
4
D)
– 1
2
107)
–5
9+ – 4
9
A)
1
B)
– 1
C)
1
9
D)
– 1
9
108)
–3
6+2
3
A)
– 7
6
B)
1
6
C)
2
3
D)
7
6
109)
–3
5+7
15
A)
16
15
B)
2
15
C)
– 16
15
D)
– 2
15
110)
–5
8+ – 1
5
A)
– 33
13
B)
– 33
40
C)
– 6
13
D)
17
40
111)
–1
14 +8
21
A)
11
21
B)
1
3
C)
13
42
D)
13
21
112)
-4 + – 7
10 +1
10
A)
– 24
5
B)
– 23
5
C)
– 1
D)
-46
13
113)
-98 + – 5
9+49 + – 4
9
A)
– 50
B)
– 58
9
C)
48
D)
– 48
Find the opposite, or additive inverse.
114)
30
A)
30
B)
1
30
C)
0
D)
-30
115)
-22
A)
-22
B)
1
22
C)
22
D)
0
116)
26.7
A)
26.7
B)
-26.7
C)
1
26.7
D)
0
117)
–1
3
A)
1
3
B)
3
C)
–3
D)
–1
3
118)
17
6
A)
–17
6
B)
–6
17
C)
17
6
D)
6
17
Evaluate –x for the given value of x.
119)
x =2
A)
0
B)
-2
C)
-3
D)
2
120)
x =-7.2
A)
7.2
B)
–1
7.2
C)
-7.2
D)
0
121)
x =32.1
A)
10
321
B)
32
C)
32.1
D)
-32.1
122)
x =-3.04
A)
0
B)
3
C)
3.04
D)
-3.04
123)
x = 0
A)
0
B)
–1
C)
1
D)
-7
124)
x =11
4
A)
4
11
B)
11
4
C)
–11
4
D)
–4
11
125)
x = – 1
167
A)
0
B)
–1
167
C)
167
D)
1
167
126)
x =2.021
A)
-2.021
B)
–2
C)
–3
D)
2.021
127)
x =0.319
A)
0.319
B)
–3.1416
C)
3.1416
D)
-0.319
128)
x =5.1
A)
-5.1
B)
-5
C)
5
D)
5.1
Evaluate –(–x) for the given value of x.
129)
x =33
A)
1
33
B)
-33
C)
0
D)
33
130)
x =161
A)
1
161
B)
161
C)
0
D)
-161
131)
x =-59
A)
–1
59
B)
0
C)
59
D)
-59
132)
x =1
2
A)
0
B)
2
C)
1
2
D)
–1
2
133)
x = – 1
47
A)
47
B)
1
47
C)
-47
D)
–1
47
134)
x =11
9
A)
–11
9
B)
9
11
C)
11
9
D)
–9
11
135)
x = – 29
48
A)
–48
29
B)
–29
48
C)
48
29
D)
29
48
136)
x =1.46
A)
146
10
B)
146
C)
-1.46
D)
1.46
137)
x =-32.40
A)
32.4
B)
0.03
C)
-32.40
D)
-0.03
138)
x =-0.561
A)
–1
B)
0.561
C)
-0.561
D)
0
Solve the problem.
139)
The stock market gained 57 points on Tuesday and lost 45 points on Wednesday. It had closed on Monday at
2783 points. Where did the market close on Wednesday?
A)
2795 points
B)
2885 points
C)
2681 points
D)
2771 points
140)
During one year 37 new employees began work at Daniel’s Manufacturing Company and 14 employees left. At
the beginning of the year there were 400 employees. What was the number of employees at the end of the year?
A)
451 employees
B)
349 employees
C)
423 employees
D)
437 employees
141)
A football team gained 30 yards on one play, lost 33 yards on another, and gained 17 yards on the last play of
the first half. They had already gained 385 yards during the half. What was the total yardage gain for the first
half?
A)
371 yards
B)
432 yards
C)
399 yards
D)
465 yards
142)
Annica owes $646.91 on her charge card. She returns for credit items costing $37.22 and $48.94. She makes a
purchase for $32.39 and additional purchases of $15.05, $104.25, and $132.39. She then makes a payment of
$546.56. Find the amount she now owes.
A)
$823.23
B)
$995.55
C)
$470.59
D)
$298.27
143)
A machinist has flat metal plate that is 8.546 cm thick. He laminates the metal plate with four more layers that
are 1.055 cm, 3.990 cm, 3.931 cm, and 3.474 cm thick. He then grinds off 4.300 cm from the top of the plate, then
1.576 cm more, and finally another 6.277 cm. Find the new thickness of the plate.
A)
8.249 cm
B)
20.595 cm
C)
13.143 cm
D)
8.843 cm
144)
In four rounds of a card game, you get scores of 9, –6, 6, and –3. What is your final score?
A)
-6
B)
6
C)
24
D)
-24
145)
A bike road race starts at an elevation of 620 feet and passes through 5 stages where the elevation changes by
–43 feet, 180 feet, 530 feet, -376 feet, and 459 feet. At what elevation does the race end?
A)
566 feet
B)
1370 feet
C)
2208 feet
D)
-2208 feet
146)
The attendance at 3 games of a major sporting event fluctuated above and below the average according to the
following table. What was the net change from the average attendance after these three games?
Game Gain/Loss in Attendance
#1 -3500
#2 5911
#3 -2041
A)
370
B)
-11,452
C)
-7370
D)
4452
147)
Monday’s closing value of your company’s stock was up 1
8. Tuesday’s was up 1
2, Wednesday’s was down 1
8,
but Thursday’s closing was up again by 1
8. Finally, the stock closed the week down 1
4. What was the net change
for the week?
A)
5
8
B)
3
8
C)
9
8
D)
– 5
8
Subtract.
148)
0 –22
A)
22
B)
0
C)
-22
D)
1
22
149)
8–12
A)
20
B)
-4
C)
-20
D)
4
150)
-10 –5
A)
-5
B)
15
C)
5
D)
-15
151)
6– (-11)
A)
17
B)
5
C)
-17
D)
-5
152)
-11 – (-17)
A)
-28
B)
-11
C)
6
D)
-6
153)
-19 – (-14)
A)
-33
B)
5
C)
-5
D)
33
154)
76 – (-40)
A)
-36
B)
-116
C)
36
D)
116
155)
-803 – (-857)
A)
1660
B)
-1660
C)
54
D)
-54
156)
–5– (–5)
A)
1
B)
0
C)
5
D)
–5
157)
0 – (–5)
A)
–5
B)
–4
C)
0
D)
5
158)
6
19 –8
19
A)
2
19
B)
– 2
19
C)
– 2
361
D)
-2
159)
3
5–1
15
A)
2
3
B)
1
5
C)
8
15
D)
2
15
160)
1
5–
2
5
A)
3
5
B)
–
3
5
C)
1
5
D)
– 1
5
161)
–3
8–2
5
A)
– 5
13
B)
– 31
13
C)
– 31
40
D)
– 1
40
162)
2
9– –
3
4
A)
–
35
36
B)
– 19
36
C)
–
1
9
D)
35
36
163)
5
6–
9
2
A)
– 3
11
B)
– 7
6
C)
22
3
D)
– 11
3
164)
10
8–10
8
A)
–50
8
B)
50
8
C)
undefined
D)
0
165)
–14.3 – 0
A)
14.3
B)
0
C)
undefined
D)
–14.3
166)
-0.42 –4
A)
-4.42
B)
4.42
C)
-3.58
D)
3.58
167)
–5.4 – 12.0
A)
-17.4
B)
6.6
C)
17.4
D)
-6.6
168)
-3.8 – (-4.9)
A)
-8.7
B)
-1.1
C)
1.1
D)
8.7
169)
0.97 – 0.81
A)
-1.68
B)
0.16
C)
0.7857
D)
-1.78
170)
0.75 – (-0.02)
A)
0.77
B)
0.73
C)
0.87
D)
0.015
171)
0.91 – (-7.118)
A)
8.128
B)
6.477
C)
6.208
D)
8.028
172)
5.769 – (-0.52)
A)
3.000
B)
6.289
C)
5.249
D)
6.389
173)
68.32 – 40
A)
28.32
B)
28.82
C)
28.42
D)
108.32
174)
37 –13.20
A)
23.79
B)
23.80
C)
23.90
D)
23.70
Simplify.
175)
17 + (-8)– (-20)
A)
5
B)
29
C)
-11
D)
-29
176)
-7 +6–20 – (-8)
A)
-13
B)
-29
C)
-1
D)
11
177)
1 – 0–18 – (-2)+ (-19)
A)
-2
B)
-34
C)
-38
D)
36
178)
7+ (-4)– (-18)– 1 + 20
A)
40
B)
-26
C)
6
D)
42
179)
-19 + (-10) + (-9) + (-5) +10 + (-2)
A)
3
B)
21
C)
-35
D)
–55
20