Algebra Readiness problems you can use for practice. Remember, you may not use a calculator when
you take the assessment test. Use these problems to help get you up to speed.
______________________________________________________________________________________
Simplify.
9) The seats in a lecture hall are arranged in 20
rows with 8 seats in each row. Find how many
seats are in this room.
1) 23 · 5 2
2)
A) 200
B) 100,000
C) 60
D) 150
35 ·
35
A) 12
B) 1225
C) 35
D) 70
A) 152 seats
B) 168 seats
C) 170 seats
D) 160 seats
10) In preparation for his new job, Luke bought
two suits at $139 a piece, six shirts at $28 a
piece, two pairs of shoes at $67 a piece, four
ties at $26 a piece, and five pairs of socks at $5
a piece. What was the total cost of these items?
3) 0 ÷ 59
A) 1
B) 59
C) 0
D) undefined
A) $709
B) $684
C) $730
D) $265
Find the perimeter and the area of the figure.
4) 77 ÷ 0
11)
A) 7
B) 0
C) 1
D) undefined
12 miles
5) (72 - 4) · 2
A) 18
B) 90
C) 41
D) 42
A) perimeter: 48 mi; area: 576 sq mi
B) perimeter: 48 mi; area: 144 sq mi
6) 12 + 9 ÷ 3 · 4 - 9
A) 63
B) 15
C) 33
C) perimeter: 24 mi; area: 144 sq mi
D) 19
D) perimeter: 144 mi; area: 48 sq mi
Solve.
7) Amy teaches Chinese lessons for $65 per
student for a 6-week session. From one group
of students, she collects $1950. Find how many
students are in the group.
A) 34 students
B) 20 students
C) 30 students
D) 32 students
8) Svetlana is trading her car in on a new car. The
new car costs $25,025. Her car is worth $6998.
How much more money does she need to buy
the new car?
A) $18,028
B) $18,017
C) $18,027
D) $17,927
12)
27 meters
9 meters
A) perimeter: 72 m; area: 486 sq m
B) perimeter: 72 m; area: 243 sq m
C) perimeter: 36 m; area: 243 sq m
D) perimeter: 243 m; area: 72 sq m
Simplify the expression.
22)
13) -3 + 9
-1.2
-0.2
A) -6
B) 12
A) 0.6
B) -6
C) 6
D) -12
C) -0.6
D) 6
23) |-25| + (-10)
14) |-3.5|
A) -3.5
B) 3.5
C) 0
1
D)
3.5
A) 35
B) -15
C) 15
D) -35
24) (-13) + 60 ÷ (-6)
15) -(-76)
A) -76
B) -1
C) -75
D) 76
C) -
B) 95
1
95
C) -23
D) -8
9
A) -48
B) -24
C) 18
D) -36
26) (-4)3 - 42 ÷ (-7)
D) -95
A) -58
17) 6 - 26
C)
A) -20
B) -32
C) 32
D) 20
A) 12
B) -1.2
C) -12
D) -23.5
106
7
A) -288
B) -23,160
C) -480
D) 288
28) x + y + z
C) 6
20) -5 - (-24)
A) 29
B) -19
C) 19
D) -29
21) -16(-4)
A) -80
B) 80
C) 68
D) 64
D) 70
Evaluate the expression for the given replacement values.
19) -10 ÷ (-2)
B) 4
B) -70
27) (2 - 8)2 · (9 - 7)3
18) 0.5(-2 · 12)
A) 5
B) 8
25) -6 + (-33) - 12 +
16) -|-95|
A) -1
A) 23
D) -5
for x = -16 , y = 12, z = -1
A) 5
B) 29
C) -27
D) -5
29) x - y
for x = -27, y = 18
A) 9
B) -45
C) 45
D) -9
30) xy
for x = 0, y = -24
A) 24
B) -24
C) 0
D) undefined
31)
x
y
for x = -62, y = 1
A) 62
B) -62
C) -63
D) 63
Solve.
32) Find the sum of -25, -15, and 18.
A) 8
B) 58
C) -22
D) 28
33) Subtract 56 from 16.
A) -72
B) 72
C) 40
D) -40
34) Find the product of A)
C) -
35) Find the quotient of A)
D)
C) 35,794 ft
D) 18,841 ft
39) Big Bear Lake has a maximum depth of 3999
feet. The elevation of the lake's surface is 1273
feet above sea level. What is the elevation
(with respect to sea level) of the deepest point
in the lake?
A) 3999 feet below sea level
8
45
45
8
D) -6725 feet below sea level
The circle graph below shows us how an average
consumer spends money. Use this information to answer
the question.
4
4
and .
7
5
5
7
C) -
B) 30,143 ft
C) -2726 feet below sea level
B) -
45
8
A) 13,190 ft
B) 5272 feet below sea level
4
2
and .
5
9
8
45
38) A mountain in the Great Smoky Mountains
National Park has an elevation of 5651 feet
above sea level. A gap in the Atlantic Ocean
has an elevation of 24,492 feet below sea level.
Represent the difference in elevation between
these two points.
B)
16
35
16
35
D) -
5
7
36) A diver starts at sea level and then makes 3
successive descents of 24 feet. After the
descents, what is her elevation?
A) 27 feet below sea level
B) 72 feet below sea level
40) Suppose your family spent $54,000 on the
items in the graph above. How much might we
expect was spent on other?
C) 21 feet below sea level
D) 48 feet below sea level
37) Drew has $149 in his checking account. He
writes a check for $68, withdraws $40 from an
ATM, and then deposits $36. Represent the
new balance in his account by an integer.
A) $213
B) $77
C) $85
D) $157
A) $2700.00
B) $5400.00
C) $4725.00
D) $4050.00
Perform the indicated operations. Round the result to the
nearest thousandth if necessary.
41) Nick is going to put insecticide on his lawn to
control grubworms. The lawn is a rectangle
that measures 230.9 feet by 88 feet. The amount
of insecticide required is 0.02 ounces per
square foot.
a) Find the area of the lawn.
b) Find how much insecticide Nick needs to
purchase.
A) a) 637.8 sq ft
b) 31,890 oz
B) a) 20,319.2 sq ft
b) 406.384 oz
C) a) 637.8 sq ft
b) 12.756 oz
D) a) 20,319.2 sq ft
b) 1,015,960 oz
42) Find the exact circumference of the circle. Then
use the approximation 3.14 for and
approximate the circumference.
Find the square root.
16
44)
121
A)
D)
11
4
1
10
B)
1
20
C) 10
D)
1
5
1
100
A)
46)
4
121
B)
4
11
C)
45)
16
11
81
A) 6561
B) 11
C) 18
D) 9
Perform the indicated operations. Round the result to the
nearest thousandth if necessary.
0.48 + 2.13
47)
0.3
11 miles
A) 0.87
B) 0.087
C) 8.7
D) 87
48) 0.4[1.73 - (0.6)2]
A) 22 mi, 69.08 mi
B) 121 mi, 379.94 mi
C) 11 mi, 34.54 mi
D) 22 mi, 69.3 mi
49)
43) Find the area.
A) 0.634
B) 0.548
C) 0.332
D) 0.511
57.5
10
A) 0.575
B) 0.0575
C) 5.75
D) 575
1.7 miles
50) 209.9 × 100
4.1 miles
A) 3.485 sq mi
B) 0.697 sq mi
C) 697 sq mi
D) 69.7 sq mi
A) 20,990
B) 209,900
C) 2.099
D) 2099
51) Subtract 0.312 from 32
A) 31.788
B) 32.312
C) 31.188
D) 31.688
52) 57.64 + 82.76 + 45.917
A) 187.317
B) 186.417
C) 186.327
D) 186.317
The circle graph below shows us how an average
consumer spends money. Use this information to answer
the question.
Write the fraction or mixed number as a decimal. If
necessary, round to the nearest thousandth.
8
53)
15
54)
A) 0.534
B) 0.532
C) 0.333
D) 0.533
A) 0.84
B) 0.98
C) 0.72
D) 0.92
23
25
59) What fraction of spending goes for clothing,
transportation, and other?
13
2
A)
B)
80
5
Write the decimal as a fraction or mixed number in
simplest form.
C)
55) 39.47
B) 3
A) 3947
C) 394
7
10
947
1000
D) 39
Write the fraction or mixed number as a decimal. If
necessary, round to the nearest thousandth.
4
56) 4
7
B) 4.057
C) 2.286
D) 4.571
A)
1
16,384
B)
16
C)
12
16
125
4
58) 36.0404 ________ 36.4040
C) >
1
5
D)
4
5
3
gallons on fuel on a
4
1
hour trip. How many gallons of fuel were
2
used for each hour?
3
A) 156 gal
8
C) 15
1
D)
128
B) =
3
10
61) A small airplane used 34
Insert <, >, or = to make a true statement.
A) <
C)
Solve.
Write the decimal as a fraction or mixed number in
simplest form.
57) 0.128
D)
60) What fraction of spending goes for education
and food combined?
19
11
A)
B)
30
20
47
100
A) 5.75
9
10
4
gal
9
B) 7
13
gal
18
D) 7
5
gal
19
62) A carpenter cuts a piece 1
1
feet long from a
2
68)
1
1 1
· 8 3
2 6
cedar plank that is 18 feet long. How long is
the remaining piece?
1
A) 16 feet
B) 16 feet
2
C) 17
1
feet
2
D) 17 feet
Perform the indicated operation. Simplify your answers.
4 5
1
63) Find the average of , , and .
5 6
7
373
A)
70
373
B)
420
373
C)
210
373
D)
630
224
A)
47
224
B)
423
47
C)
126
376
D)
5103
Perform the indicated operation. Simplify your answers.
2 2 1 3
+
65)
3
2
A)
41
72
B)
59
72
C)
11
24
D)
25
36
A)
126
25
B)
72
7
C)
5
8
D)
56
225
B)
41
24
C)
43
6
D)
47
24
69) - 7
71)
72)
Perform the indicated operation. Simplify your answers.
8 10 9
·
66) ÷
5
7 2
25
9
16
70)
4 2 4
1
÷
64)
9
9 14
A)
3
7
A) 9
3
7
B) 8
4
7
C) 9
4
7
D) 15
4
7
7
1
9 12
A)
13
18
B)
25
36
C)
2
3
D)
1
2
A)
1
2
B)
37
72
C)
37
8
D)
1
18
5 1
8 9
2
2
+
3 15
A)
4
5
B)
4
15
C)
37
45
D)
2
9
Find the prime factorization of the number.
73) 7425
2 3
67)
5
8
A)
125
C)
8
5
2
B) 3
5
D)
125
8
A) 33 · 5 3 · 11
B) 34 · 5 · 11
C) 33 · 5 2 · 11
D) 3 · 54 · 11
A) 22 · 3 2 · 5
B) 2 · 3 · 5
C) 10 · 3 2
D) 2 · 32 · 5
74) 90
Write the fraction in simplest form.
132
75) 168
76)
Write a fraction to represent the shaded area of the figure.
81)
A) -
12
14
B) -
C) -
11
14
D)
132
168
11
12
105
135
A)
7
9
B)
7
15
C)
105
135
D)
15
9
A)
7
5
B)
7
12
C)
5
12
D)
5
7
Solve.
82) Find the average of -8, -12, 0, and 8.
Write the improper fraction as a mixed or whole number.
224
77)
7
78)
A) 223
B) 32
C) 225
32
D)
2
B) -4
C) -3
83) Write the prime factorization of 968.
A) 2 · 2 · 11 · 11 · 11
B) 2 · 2 · 2 · 2 · 11
C) 2 · 2 · 2 · 11 · 11
D) 8 · 121
48
5
A) 10
3
5
3
C) 8
5
B) 9
3
7
3
D) 9
5
Write the mixed number as an improper fraction.
8
79) 13
9
80) 3
A) 3
A) 208
125
B)
9
C) 29
D)
104
9
5
6
A)
18
5
B)
18
6
C)
23
6
D)
23
5
84) Find the LCM of 3, 175, 147.
A) 3675
B) 11,025
C) 525
D) 77,175
85) Write
3
as an equivalent fraction with a
14
denominator of 98.
42
A)
98
C)
294
1372
B)
21
98
D)
3
98
Simplify the fraction.
27
86)
63
A)
3
9
B)
9
7
C)
3
7
D)
27
63
D) -6
Solve.
87) Write 8.9 as a fraction.
890
A)
10
C)
89
100
93) 6
B)
8.9
10
A) 2
5
21
B) 3
5
21
D)
89
10
C) 2
1
21
D) 3
1
21
Perform the indicated operation and simplify.
4
8
88) +
9 15
89)
44
A)
135
44
B)
45
4
C)
15
28
D)
45
94) 3
C) 18
95) 4
C)
3
23
B)
9
23
D)
5 1
÷
6 6
A) 23
2 9
·
3 46
A)
2
1
-3
7
21
1
4
C) 11
11
49
5
6
23
36
D) 8
1
3
·2
3
4
A) 8
1
23
B)
11
12
B) 2
1
12
D) 12
3
4
Perform the indicated operation.
90)
3
÷9
7
96) 35 + 0.95 + 7.9
1
A)
21
C)
27
B)
7
3
7
D) 21
A) 42.995
B) 52.4
C) 43.85
D) 36.74
Solve.
97) Write
91)
3 1
4 6
92) 4
A)
7
12
B)
1
12
C)
7
24
D)
2
3
C) 9
1
6
2
3
A) 0.75
B) 0.8
C) 0.725
D) 0.075
98) Write 0.32 as a percent.
3
11
+4
4
12
A) 81
3
as a decimal.
4
B) 8
2
3
D) 9
2
3
A) 3.2%
B) 320%
C) 32%
D) 0.032%
99) 15 is 1% of what number?
A) 15,000
B) 1500
C) 150
D) 15
100) 22 is what percent of 20?
A) 1.1%
B) 1100%
C) 11%
D) 110%