Elementary Algebra and College Level Essay

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ACCUPLACER MATH REVIEW SHEETS
The Accuplacer exam is a branching exam. This means that when you miss a problem, it will branch to a lower level problem. When you get a problem right, the test then gives you a slightly more difficult problem. In this fashion, this test is very accurate in determining your placement into our DMAT/MATH program.
The first exam that you will be given will be the Elementary Algebra test. Depending on your score, you will then take either the Arithmetic (to place you into DMAT 0066, 0090, 0097, or 0098) or the College- Level (to place you into
DMAT 0098, DMAT 0099, or college level math classes).
If you have had two years or more of algebra in high school, it would be wise to study all of the topics on this sheet.
However, if you did not have much algebra or feel very weak in algebra, you may want to devote your time to studying only the Arithmetic and Elementary Algebra Topics.
Arithmetic (17 questions)
I. Operations with whole numbers and fractions
A. Addition, Subtraction, Multiplication and division; Recognizing equivalent fractions and mixed numbers
1. 54 + 297+ 209

1 2
7. 
7 7
12. Change

5 2
8. 
8 8

2. 1009 – 345

3 2
9. 
4 5

4. 52 5701 5.

3. 307 x 452

1 3
10. 3  1
2 4

42 to a mixed numeral.
16

12 13

13 14

6. 4 

1
2

3
1
11. 2  4
4
8

13. Change 4

1 to an improper fraction.
6

B. Estimating
For #14 - 16: The World Almanac lists all 4-year colleges in the United States with enrollments of 600 or more. This list is 13 pages long, with an average of 89 colleges on a page.
14. Which figure best estimates the number of 4 year colleges listed? a. 157 b. 8000 c. 54000 d. 50 e. 1000
15. Estimate the minimum number of students enrolled at the colleges listed. a. 54,000 b. 9000 c. 600,000
d. 5,400,000 e. 6,600,000
16. If you could compare the actual number of students attending 4-year colleges to your estimate for question 15, your estimate would turn out to be a. much higher b. a little higher c. much lower d. a little lower e exactly right. II. Operations with decimals and percents
17. 4.8 0.1104

18. 3.04 x 0.27

B. Percent problems
21. What percent of 25 is 18?

19. 130 - 24. 89

22. What is 42% of 67?

20. 2.3 + 46 + 7.809
23. 56 is 64% of what number?

C. Recognition of decimal, percent, fraction equivalencies
24. Change 24% to a fraction in lowest terms.
25. Change 23.678 to a fraction in lowest terms.
26. Change

3 to a percent.
4

27. Change

5 to a decimal.
9

28. Change 29.8% to a decimal.

29. Change 0.0043 to a percent.
D. Problems involving estimation
30. Which is the least? a. 0.26, b. 0.026, c. 2.6 , d. 0.206
31. Junior earns \$5.65 per hour that he works. If he worked 12 hours, approximately how much did he earn?
a. \$72
b. \$60
c. \$80

Revised 8-5-11

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ACCUPLACER MATH REVIEW SHEETS
III. Applications and Problem Solving.
A. Rate, percent and measurement problems
32. A soccer team played 160 games and lost 35% of them. How many games did they lose?
33. A dieter lost 2 pounds in 3 weeks. If he continues to lose at this rate, how many weeks will it take him to lose 24 pounds? B. Simple geometry problems
34. Find the area of a square whose sides measure 4 cm.
35. Find the complement of a 67 angle.
36. Find the perimeter of a triangle whose sides are 3m, 5 m, and 4 m.
37. If the legs of a right triangle measure 2 and 7, the hypotenuse measures approximately
a. 7.28 b. 53 c. 14 d. 9.15 e. None of these
C. Distribution of a quantity into its fractional parts
38. Three people who work fulltime are to work together on a project, but their total time on the project is to be equivalent to that of only one person working full time. If one of the people is budgeted for 1/2 of his time on the project and a second person for 1/3 of her time, what part of the third worker's time should be