PROGRESS CHECK – BASIC SKILLS VERSION 1

PROGRESS CHECK – BASIC SKILLS VERSION 1 CALCULATORS ARE NOT TO BE USED ON THIS TEST For each question, select the correct response. 1.

What is the correct prime factorization of 640? a) 2 · 5 · 82 b) 5 · 72 c) 23 · 42 · 5 d) 10 · 64 e) 27 · 5

6. Evaluate and write in lowest terms: 3 1/8 + 2 1/4 a) 5 3/4 b) 5 1/6 c) 5 2/12 d) 5 3/8 e) 5 6/16

2.

Evaluate: 44 + 17 - 5 · 2 a) 112 b) 51 c) 68 d) 64 e) 71

7.

3.

Write 80/220 in lowest terms. a) 40/110 b) 16/44 c) 8/22 d) 2/11 e) 4/11

4.

5.

Evaluate: 3/5 + 4/7 – 1/3 88 a) /105 6 b) /9 6 c) /35 53 d) /105 e) 1 53/105 Evaluate: a) 120/24 b) 5/16 c) -23/24 d) 23/24 e) 4/45

2

/8 · 16/24 ÷ 15/8

Evaluate and write in lowest terms: 6 1/3 ÷ 7 1/5 a) 3 2/3 b) 9/16 c) 91/102 d) 95/108 e) 3 23/39

8. Arrange these fractions in order, from smallest to greatest: 3 1 7 /7 5/13 /3 /9 4/15 a) b) c) d) e) 9.

4

1

3

4

1

5

/15 /15 1 /3 1 /3 3 /7

/3 /3 3 /7 3 /7 5 /13

/7 /13 4 /15 7 /9 1 /3

5

/13 3 /7 5 /13 5 /13 7 /9

7

/9 /9 7 /9 4 /15 4 /15 7

Change 16 3/4 % to an equivalent decimal: a) .01675 b) 0.1675 c) 1.675 d) .001675 e) 16.75

Developed by the Milwaukee Mathematics Partnership with support by the National Science Foundation under Grant No. 0314898.

Progress Check – Basic Skills – Version 1 10. What is 9 percent of 52? a) 4.68 b) 5.68 c) 0.468 d) 468 e) 3.68 11. One is what percent of 20? a) 125 b) 75 c) 50 d) 25 e) 5 12. 3.25 kilometers (km) is equal to how many meters (m) ? a) .325 b) 3.25 c) 32.5 d) 325 e) 3250 13. A digital clock is selling at a discount of 15%. The original price was $9.00. How much money will you save by buying the clock at sale price? a) $1.35 b) $134.70 c) $13.47 d) $0.13 e) $0.01 14. The Falcons football team has won 5 of the 8 games that they have played this season. What percent of this season’s games have the Falcons lost? a) .625 b) 3.75 c) 37.5 d) 6.25 e) 62.5

page 2 15. If x = 2 and y = -3, then evaluate: (x-1)(y-2) + y a) -2 b) 0 c) -8 d) 2 e) 8 16. Expand: 7(x + 15) a) 7x + 15 b) 22x c) x + 105 d) 105x e) 7x + 105 17. If you triple Fred’s age, you get the same number as if you double Fred’s age and add 10 years. How old is Fred? a) 5 years b) 10 years c) 15 years d) 20 years e) 30 years 18. Solve: a) 94 b) -94 c) 6 d) -6 e) 16

x – 44 = 50

19. Solve: a) 6 b) 24 c) 243 d) 486 e) 864

(2/9)x = 108

Developed by the Milwaukee Mathematics Partnership with support by the National Science Foundation under Grant No. 0314898.

Progress Check – Basic Skills – Version 1

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20. Evaluate: |5 – ( - 12)| a) -7 b) 7 c) 17 d) -17 e) 19

25. Evaluate: 2 – (-8) a) -6 b) -10 c) 6 d) 10 e) -16

21. Evaluate: – |3.5 – (- 10.5)| a) -13.5 b) -14 c) 13.5 d) -7 e) 14

26.

22. I have fifteen coins. Some are nickels and the rest are dimes. I have a total of $1.25. How many dimes do I have? a) 8 b) 9 c) 10 d) 11 e) 12

27. Evaluate: a) -15 b) 15 c) -243 d) 243 e) -125

23.

24.

Solve: a) 9 b) 3 c) 4 d) 2 e) 8

11 = 3x + 2

Evaluate: -35 – (-28) a) -63 b) -7 c) -13 d) 13 e) 7

28.

Evaluate: a) 6/4 b) 3/2 c) -3/2 d) 3/8 e) -3/8

Evaluate: a) b) c) d) e)

¾ ÷ (-2)

(-3)5

( )5

5/10 5/2 5/25 1/25 1/32

29. Find the mean and median: 1.4, 7.1, 7.7, 2.2, 5.9, 3.1, 4.8 a) mean = 5 b) mean = 4.5 c) mean = 4.6 d) mean = 4 e) mean = 4.8

Developed by the Milwaukee Mathematics Partnership with support by the National Science Foundation under Grant No. 0314898.

Progress Check – Basic Skills – Version 1 30. YM Sporting Goods sells T-shirts with the store’s logo printed on them. The t-shirts come in 3 sizes, 2 colors, and 2 designs. How many different t-shirts can they sell? Size S M L a) b) c) d) e)

Color Red Blue

32. 1200 students at a local high school were surveyed to find out what kind of movies they preferred. Using the pie chart provided, how many students like science fiction films the most?

Design Plain Fancy

18 12 7 27 8

31. A guide for growing pineapples indicates that the most ideal conditions are to grow the pineapples in a climate where the average rainfall is between 20 and 30 inches per year. Looking at the bar graph, which US city has the best rainfall conditions for growing pineapples?

a) b) c) d) e)

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F

S C

H D R

a) b) c) d) e)

A

9.6 960 192 96 480

New York Dallas Phoenix Honolulu None of the above Developed by the Milwaukee Mathematics Partnership with support by the National Science Foundation under Grant No. 0314898.