Download Basic Mathematics Evaluation

Basic Mathematics Evaluation
Operations on Whole Numbers
_____ 1. Add: 1425 + 382
_____ 2. Solve: 32 + x = 61
_____ 3. Multiply: 321 X 47
4. A jar contains 128 oz. of juice.
_____
a. How many 6-oz glasses can be filled from the jar?
_____
b. Are there any ounces left over? If so, how many?
Multiplying and Dividing Fractions
_____ 5. Solve: 5/8x = 3/16
_____ 6. Multiply and simplify: 4 • 3/8
_____ 7. Write the prime factorization of 144. (What prime numbers all multiplied together equal 144?)
_____ 8. A recipe calls for ¾ cup flour. How much is needed to make 2/3 of the recipe?
Adding and Subtracting Fractions; Mixed Numbers
_____ 9. Add: 3/8 + 1/6
_____ 10. Multiply and simplify: 4 1/5 • 3 2/3
_____ 11. A 3-m pole was set 1 2/5 m in the ground. How much was above ground?
_____ 12. A care travels 249 miles on 8 3/10 gal of gas. How many miles per gallon did it get?
Decimals
_____ 13. Which number is larger, 0.00009 or 0.0001?
_____ 14. Round to the nearest tenth: 25.562
_____ 15. Add: 12.035 + 0.08 + 27.7
_____ 16. A driver bought gasoline when the odometer read 68,123.2. At the next gasoline purchase the odometer
read 68,310.1. How many miles were driven?
_____ 17. Convert to a decimal: 7/3
_____ 18. What is the cost of 5 shirts at $23.99 each?
Ratios
_____ 19. Solve: 1.2/x = 0.4/1.5
Percents
_____ 20. Convert to a percent: 1/6
_____ 21. Convert to a decimal: 1.45%
_____ 22. The price of a pair of shoes was reduced from $25 to $19. Find the percent of decrease in price.
Real Numbers
_____ 23. Write the absolute vale of: |-4.2|
_____ 24. Compute: 27 + 4 • 8 ÷ 42 – (-9 + 4)2
_____ 25. Multiply and simplify: -(5/6)(2/15)
Algebra
_____ 26. Simplify: 3 [ 11 ( a – 2 ) – 2 ( 3 – a)]
_____ 27. Solve for x; graph the solution on a number line: 1 – x < 2
_____ 28. Solve for x: 3 ( x + 1 ) = 2 – ( x – 2 )
_____ 29. Subtract: ( x2 + 3x – 1 ) – (2x2 – 5 )
_____ 30. Divide and simplify: 3x/2y ÷ 4x/8y
_____ 31. Factor the polynomial completely: x2 + x – 20
Basic Mathematics Evaluation
Answer Key
1. 1807
2. 29
3. 15087
4. a—21
b—2
5. 3/10
6. 6. 1.5
7. 3 x 3 x 2 x 2 x 2 x 2 (two 3s and four 2s)
8. ½
9. 13/24
10. 77/5 or 15 2/5
11. 1 3/5
12. 30
13. 0.0001
14. 25.6
15. 39.815
16. 186.9
17. 2.333
18. 28.99
19. 4.5
20. 16.7%
21. 0.0145
22. 24%
23. 4.2
24. 4
25. -1/9
26. 39a – 84
27. x > -1
28. x = ¼
29. –x2 + 3x + 4
30. 3
31. (x – 4)(x + 5)