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Math 309 – review for final
Evaluate.
1. (-6)3
3. –20 + 12  (-4) +2 (-3 +1)
2. –2 + 7 (5 – 2)
Evaluate each expression for a = -2 and b =3
4. 12ab –2 b + a
5. 3a2 – 2( a + b)
6. 15b  b + 2 (3a – b)  6
7. Find the average of –60, 120, 35, 42, and 38.
8. Simplify the polynomial expression by combining like terms. 7x + 5 - 3x2 + 2x - 12 + 5x2
Solve.
9. x –30 = -28
10. 4x – 6x = 44 – 42
11. – 3x + 2 – 7 = -13 – 3
12. List the first 4 multiples of 13.
13. Find the prime factorization of 90.
14. Find the LCM of 8, 7, and 21.
15. Reduce (54xy2/18x2y)
Perform the indicated operations. Reduce all fractions and express improper fractions as mixed
numbers.
16. 12/15  3/5
17. 2 3/5 + 4 1/3 + 1/10 18. (2 ¾) ( 1 ½)
19. 17 2/5 – 10 2/3
Solve the following proportions.
20. 3/8 = 9/x
21. 12/7 = (4x)/14
22. A flag pole cast a shadow of 10-ft long, at the same time of day, a 100-ft building casts a
shadow of 20-ft. How tall is the flag pole?
23. Write the mixed number as a decimal.
7 3/100
25. Write the number in scientific notation.
0.23
27. Round 2373.0567 to the nearest tenth.
24. Write the decimal as a mixed number.
12.007
26. Write the number in decimal notation.
1.3 X 105
28. Round 567835 to the nearest hundreds.
Use the Pythagorean Theorem a2+ b2 = c2 to find the missing side of the right triangles.
29. a = 8, b = 6, find c.
30. a = 5, c = 13, find a.
31. Change 0.52 to percent.
32. Change 37% to a decimal. 33. Change 25% to a fraction.
R
A

or A = RB to solve the following percent problems.
100 B
34. ____ is 35% of 1240.
35. What percent of 350 is 70? 36. 12 is what percent of 80?
Use the formula
A circle has a radius of 5.2 cm. Use  = 3.14 to find the following.
37. Area
38. Circumference.
39. Find the volume of a rectangular pyramid with height = 6 m, length = 8 m, and width = 5 m.
Solve the following equations.
40. 2x – ½ x +2 ¾ = 3 ½ + 2 ¼
Solve for k.
43. r = 2pk
41. 3(5 – x) +2 = 12 – 8x
42. 2x + x + 3 = 40 – x + 3
44. a = bkc
45. The sum of three consecutive integers is 33. Find the integers.
46. Three times a number plus 2 is 3 more than the number. Find the number.
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Date___________
Math 309 – Exam 5 – Make Up
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24
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25
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26
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27
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28
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31
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32
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33
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35
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36
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37
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38
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41
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42
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43
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44
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45
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