Math 60 Practice Final Exam Questions
Note: For most of the pure calculation problems (that is, those that are not “word problems”), you will
not be permitted to use a calculator, so you should practice doing them without a calculator.
Evaluate each of the following. If your answer is a fraction, reduce it to lowest terms.
1. 2 + (−4)
2. −6(3)
3.
90
−10
4. −3 − (−19)
5. −12 ÷ −3
6. 18 − 40
7. 1,023 − 859
8. 24,735 + 97,808
9.
1
4
+
9
11
3
1
10. 3 4 ÷ 1 2 (write your answer as a mixed number)
5
6
11. 9 × 6 (write your answer as a mixed number)
1
5
12. 4 2 − 1 8 (write your answer as a mixed number)
13. 16 ÷ (6 + 2) + 5
14. 9(2 + 1) − 5 ∙ 4
15. 41.09 + 5 + 3.7
16. 8.8 × 9.1
17. 40 − 8.21
18. 362.97 ÷ 3.7
19. 518 ÷ 0.4
Convert each number into the given forms
20.
9
2
into a mixed number, a decimal, and a percent
21. 80% into a decimal and a fraction
22. 0.111 into a fraction and a percent
Write as a decimal, using a bar to indicate which digit or group of digits repeats
23.
24.
7
3
85
11
Simplify by combining like terms
25. 6𝑎 + 5𝑏 + 1 + 4𝑏 + 𝑎 + 8
26. 20𝑥 − 3(9𝑥 − 5) + 𝑥 − 31
27. (4𝑥 2 − 6𝑥 + 7) − (2𝑥 2 − 19𝑥 + 3)
Evaluate the expression if 𝒙 = −𝟒 and 𝒚 = 𝟖
28. 𝑥 2 + 2𝑥𝑦
29. −𝑥 + 9 − 𝑦
Express the number as a product of prime factors
30. 42
31. 200
Solve the equation for x
32. 5𝑥 + 6 = −19
33. 7(𝑥 − 3) − 8 = 34
1
3
34. 2 𝑥 + 5 = 5 𝑥 + 1
35. 2 − (𝑥 + 3) = 5(𝑥 − 8) − 15
Graph the equation, by first finding three ordered pairs that satisfy it
36. 𝑥 + 2𝑦 = 8
1
2
37. 𝑦 = − 𝑥 + 7
Solve the word problem
38. A coat is on sale for 25% off of the original price. The sale price is $66.75. What was the original
price?
39. Joe just got a raise. He was making $11 per hour and now makes $13 per hour. What was the
percent increase in his hourly wage? Round to the nearest tenth of a percent.
40. A drawing measuring 8 inches wide by 11 inches tall is reduced on a copy machine so that it is 5
inches wide. How tall is it? Round to the nearest tenth of an inch.
41. A certain book is 18 millimeters thick. If you stack 40 of these books, how high will your stack be
in meters? Do not round, and note that 1 meter = 1,000 millimeters.
42. A car is traveling at a speed of 55 miles per hour. Convert this speed to meters per second, and
round your answer to the nearest tenth. Note that 1 mile ≈ 1.6 kilometers, 1 kilometer = 1000
meters, 1 hour = 60 minutes, and 1 minute = 60 seconds.
43. Find the perimeter and area of a rectangular field that measures 40 feet by 20 feet. Then find
the length and width of another rectangle with the same perimeter, but a smaller area.
Find the area of each of the following shapes, rounding to the nearest tenth of a unit
44.
45.
1
Useful formulas for this page: 𝐴 = 𝐿𝑊 for a rectangle, 𝑃 = 2𝐿 + 2𝑊 for a rectangle, 𝐴 = 2 𝑏ℎ for a
triangle, 𝐴 = 𝜋𝑟 2 for a circle (use 3.14 for π)
Find the missing length
46.
47.
Find the volume of the shape, including units in your answer
Useful formulas: 𝑉 = 𝜋𝑟 2 ℎ for a cylinder (use 3.14 for π), 𝑉 = 𝐿𝑊𝐻 for a box
48. A cylindrical tank with diameter 3 feet and height 5 feet
49. A closet that is 6 feet wide, 8 feet tall, and 30 inches deep