MATH 0302 Review for Final Exam
For problems #1 - #5, solve.
1.
2.
3.
4.
5.
7 y  3  38
4x 11x  14 14
12  5 x  6( x  2)
2( x  2)  5 x  17
x
9

14 21
6. Graph the points on the grid. (–4, 6), (5, 0), (0, –7), (8, –4)
y
x
7. Find the perimeter of the following rectangle.
x4
x
8. University law school accepts 2 out of every 7 applicants. If the school accepted 180 students, find how
many applications they received.
9. A gallon of paint covers 350 square feet. How many gallons of paint will be needed to cover the side of
a building that measures 120 feet by 80 feet?
10. The standard dose of medicine for a cat is 2 grams for every 15 pounds of body weight. What is the
standard dose for a cat that weighs 20 pounds?
11. Find the length of the missing side of the right triangle. (Round to the nearest tenth.)
x
36 cm
45 cm
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12. Find the length of the missing side of the right triangle. (Round to the nearest tenth.)
x
15 in.
13 in.
13. 95% of 400 is what number?
14. 15% of what number is 90?
15. Before taking a typing course, Jana could type 36 words per minute. By the end of the course she was
able to type 97 words per minute. Find the percent of increase. Round to the nearest tenth of a percent.
16. After 8 months, Joellen has lost 75 pounds. This is a 30% decrease in her starting weight. Find her
starting weight.
For problems #17 and #18, translate each sentence to an equation. Then solve the equation.
17. 15 subtracted from a number is –23.
18. Twice the difference of a number and 7 is equal to –8.
19. Evaluate 5 x 2  x  1 for x  2 .
2x  y
20. Evaluate
for x  3 , y  1 and z  4 .
3z
For problems #21 - #24, perform the indicated operations.
21. ( x 2  7 x  2)  (3x 2  7 x  5)
22. (2 x 2  2 x  1)  ( x 2  x  4)
23. (8 x 2  4 x  1)  (10 x 2  4)
24. Subtract (8a 2  a ) from (6a 2  2a  1) .
25. Find the area of a triangle with base 12cm and height 7cm.
26. Find the area of a rectangular field which is 55 meters long and 37 meters wide.
27. Find the exact circumference and the exact area of a circle with a diameter of 17 inches.
28. Approximate the circumference and the area of a circle with a radius of 7 in. using   3.14 .
For problems #29 - #35, simplify.
29.
30.
31.
32.
(12 x  10)  5(3 x  2)
3( x  1)  4 x
3 x  4( x  2)  1
(7 x  2)  8
33. 36  2(4  7)
34.  3  4  (7)  52
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35.
8  3  9
3(5)  7
For problems #36 and #37, evaluate if x = –2, y = 3, and z = –6.
36. 3x  2 y  z 2
37. y  x  4 z
For problems #38 - #42, simplify.
5 2
38. 
6
3
11 7
39.

12 20
3 1 6
40.   
4 14 7
11 1 5
 
41.
20 7 22
42. 16  9  3  4  7
43. Write 0.6% as a decimal.
44. Write 6.1 as a percent.
45. Write 0.45 as a fraction.
34
46. Write
as a percent.
50
47. The difference of three times a number and five times the same number is four. Find the number.
48. During a 258 mile trip, a car used 10.75 gallons of gas. How many miles would we expect the car to
travel on 1 gallon of gas?
49. The purchase price of a camcorder is $799. What is the total price if the sales tax rate is 7.5%.
50. Marsha borrows $8500 and agrees to pay it back in 4 years. If the simple interest rate is 17%, find the
total amount she pays back.
51. Write the number in scientific notation. 0.0000585
52. Write the number in standard notation. 4.8  10 6
53. A rectangular pool measures 15ft by 20ft. How much fence is needed to go around the pool?
5
, 0.49
54. Write the given numbers from least to greatest. 7,  3, 25%, 2.5,
11
55. Sally needs a new stove. One stove costs $486. Another stove costs $415. How much more expensive is
the higher priced stove?
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MATH 0302 Review **Answer Key**
1.
2.
3.
4.
5.
6.
y 5
x4
x0
x = –7
x6
7. 4 x  8
8. 630 applications
9. 28 gallons
2
10. 2 grams
3
11. 57.6 cm
12. 7.5 in.
13. 380
14. 600
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15. 169.4%
16. 250 pounds
17. 8
18. 3
19. 23
7
20. 
12
21. 4 x 2  14 x  3
22. x 2  3x  5
23.  2 x 2  4 x  3
24.  2a 2  a  1
25. 42 square
centimeters
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26. 2035 square meters
27. 53.38 in;
226.87 square in.
28. 43.96 in;
153.86 square in.
29. 3x
30.  7 x  3
31.  x  7
32.  7 x  10
33. 12
34.  17
1
35.
2
36.  36
37.  19
1
38.
6
17
39.
30
1
28
1
41.
56
42. 21
43. 0.006
44. 610%
40.
9
20
45.
46. 68%
47.  2
48. 24 miles
49. $858.93
50. $14,280
51. 5.85  10 5
52. 0.0000048
53. 70 ft.
54. -3, 25%, 5/11, 0.49, 2.5, 7
55. $71
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