Basic College Mathematics Review
1. Find the unit price of each brand. Then determine which package has the lower unit
price.
BRAND PACKAGE PRICE UNIT PRICE
A
15 oz
$1.07
B
29 oz
$1.69
C
29 oz
$1.32
2. Round 68,489 to the nearest thousand.
3. Round 10.688 to the nearest hundredth.
4. Add.
3213 + 1245
5. Subtract.
9465 – 8791
6. Multiply.
24
x 19
7. Multiply.
349
x 763
8.
Add and simplify, if possible.
3 9

4 4
9.
Subtract and simplify, if possible.
7 2

8 3
10. Add and simplify, if possible.
1 1

5 9
11. Add and simplify, if possible.
2 1
+
13 26
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12. Write
11
as a mixed number.
3
13. Write 4
3
as an improper fraction.
5
14. Multiply and simplify, if possible.
36 
4
9
15. Multiply and simplify, if possible.
5 14
 
7 35
16. Divide and simplify, if possible.
4 8

5 15
17. Divide and simplify, if possible.

13  13 
 
25  5 
18. Find the absolute value.
 38
19. Compute and simplify.
20. Evaluate.
 1  3
7 xz
for x = -7, y = 2, and z = 6
y
21. Write the fraction in simplest form.
21
30
22. Write the fraction in simplest form.
275
5
23. Evaluate. 12 2
24. Simplify.
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12  12  10  5
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25. Simplify.
43  52  16  4  23  3
26. Find all the factors of 15.
27. Find the LCM of 16, 25, and 32.
28. Find the prime factorization of 198.
29. Add.
88.11 + 0.4 + 3 + 81.91 + 40.691
30. Subtract.
40.03 – 5.789
31. Subtract.
20 – 0.0027
32. Add.
33. Add.
27   11
17   3
34. Subtract and simplify.
 1  2
  
 3  3
35. Multiply.
0.0081
x
4.5
36. Convert to decimal notation. Round to the nearest thousand.
11
12
37. Convert to decimal notation.
37
1000
38. Convert to decimal notation.
7%
39. Convert to decimal notation.
85.3%
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40. Convert to fraction notation and simply, if possible.
41. Convert to percent notation.
17
20
42. Convert to percent notation.
1.5
43. Convert the fraction to a percent.
5
8
40%
44. A 20 oz. package of orange roughly costs $9.98. Find the unit price in cents per
ounce. Round to the nearest cent.
45. A group of 4 friends spent $23.80 on lunch. What was each person’s share?
46. Solve.
15 36

22
x
47. Use a proportion to solve the problem: How tall is a tree that casts a 25 ft shadow
at the same time a 9 ft light pole casts a 15 ft shadow?
48. Find the average (mean) for the set of numbers.
Students in a math class: 35, 40, 42, 45, 36
Round your answer to the nearest whole number if necessary.
49. Find the median for the set of numbers.
15, 8, 3, 5, 6, 11
50. Find the mode for the set of numbers.
8, 3, 11, 6, 3, 5, 8, 3
51. Find the average.
Jeremy’s car got 261 miles (highway) on 9 gallons of gasoline.
What was the average number of miles per gallon?
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52. Find the diameter, the circumference, and the area of the circle. Use 3.14
indicated.
30in
53. Find the perimeter of the polygon.
A rectangle measuring 2.3 ft by 5.4 ft.
54. Find the area of a rectangle measuring 4.9 yd by 29.09 yd.
55. Simplify the expression.
56. Multiply.
4c  8  c  7c  3
-2(3x – 4)
57. Multiply. 4(7a + 5)
58. Classify the angle.
B
A
C
D
59. Classify the triangle.
A)
B)
C)
D)
60. Find the measure of the missing angle in the figure.
22
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(pi) as
61. Given the pair of the triangles is similar, find the length of the side labeled x.
7
x
4
8
62. Lorenzo makes donations of $627 and $48. What was the total donation?
63. A machine wraps 134 candy bars per minute. How long does it take this machine to
wrap 8710 bars?
64. A share of stock bought for $29.63 dropped $3.88 before it was resold. What was
the price when it was resold?
65. At the start of a trip, a car’s odometer read 27,428.6 mi, and at the end of the trip,
the reading was 27,914.5 mi. How long was the trip?
66. From an income of $12,000, amounts of $2300 and $1600 are paid for federal and
state taxes. How much remains after these taxes have been paid?
67. A substitute teacher is paid $47 a day for 9 days. How much was received
altogether?
68. A person walks
3
1
km per hour. At this rate how far would the person walk in hr?
5
2
69. Eight identical sweaters cost a total of $679.68. What is the cost of each sweater?
70. Eight gallons of exterior paint covers 400 ft2. How much paint is needed to cover
650 ft2?
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Basic College Mathematics Review
** Answer Key **
1. (A) 7.133 ¢/oz
(B) 5.828 ¢/oz
(C) 4.552¢/oz
2. 68,000
3. 10.69
4. 4458
5. 674
6. 456
7. 266,287
8. 3
5
9.
24
14
10.
45
5
11.
26
2
12. 3
3
23
13.
5
14. 16
2
15. 
7
3
16.
2
1
17.
5
18. -38
19. 3
20. -147
7
21.
10
22. 55
23. 144
24. 142
25. 172
26. 1, 3, 5, 15
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27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
41.
42.
800
2  32 11
214.111
34.241
19.9973
-38
14
1
3
0.03645
0.917
0.037
0.07
0.853
2
5
85 %
150 %
43. 62.5 %
44. 50 ¢
45. $5.95
46. 52.8
47. 15 ft.
48. 40
49. 7
54. 142.541 yd2
55. -2c + 5
56. -6x + 8
57. 28a + 20
58. A: obtuse;
B: right;
C: straight;
D: acute
59. A: right;
B: isosceles;
C: scalene;
D: equilateral
60. 68o
61. 14
62. $675
63. 65 min
64. $25.75
65. 485.9 mi
66. $8100
67. $423
50. 3
51. 29 mi/gal
52. 60 in.;
188.4 in.;
68.
3
km
10
69. $84.96
70. 13 gal
2826 in2
53. 15.4 ft.
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