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WCCCD MAT105 PREALGEBRA

Problem Review of Objectives

1. On a number line, which number is 14 units to the left of 10? 2. Given the integers –80 and –70, which of these numbers is the greater number? 3. During the summer the water level in Case Lake is six-inchers below normal. In the fall, the water level rises four-inches. During the winter the water level drops three-inches. Determine the water level as spring begins. 4. Calculate (−12) + (−18) 5. Calculate 10 + (–20) 6. Calculate −18 − (−8) 7. Calculate (12)(−3) 8. Calculate 2(−10)(−2) 9. Calculate −36 ÷ (−4) 10. Evaluate: 2 − 10 11. Calculate 8 − 3 × 5

()

12. Simplify: 1 3

3

13. Add the following

1 4 + 5 15

14. Subtract the following

3 2 − 4 3

15. Complete this calculation

1 1 1 + − 2 6 8

16. Subtract the following 15 − 4

WCCCD MAT105

5 8

Problem Review of Objectives

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WCCCD MAT105 PREALGEBRA

17. Simplify the expression: −

Problem Review of Objectives

4⎛ 5⎞ ⎜− ⎟ 15 ⎝ 16 ⎠

18. Calculate: 8 12 × 4 12 19. Calculate and simplify: 7 12 ÷ 1 23 20. Use the Distributive Property to simplify 6(4x − y) 21. Simplify: −5(x − 8) + 4x 22. Simplify: 3m − 2m − m 23. Simplify: 3(x + 3) − 6(4 − 2x) 24. Simplify: (4x 2 − x + 12) − (−3 − 4x + x 2 ) 25. Simplify: 6a 3 ⋅ 2a 2 26. Find the solution to the equation 16 − x = −5 27. Find the solution to the equation 8 + z = 2 − z ? 28. Solve: 100T = 200 29. Solve: x − 1 = − 2 6

5

30. Solve: 2 12 x = 180 31. Solve: 10 ( x + 10 ) = 100 32. Solve: 2m + 6 = m − 18 33. Solve: 3(n + 6) − n = −28 34. Solve: 2(T − 5) = 3(T + 10)

WCCCD MAT105

Problem Review of Objectives

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WCCCD MAT105 PREALGEBRA

Problem Review of Objectives

35. Plot the point (–10, 2) on a rectangular coordinate system. 36. Find a pair of points on the graph y = 2x – 1 37. Change 100 ounces into pounds (lbs.). 38. Change 750 ml into liters. 39. Write 725,000 in scientific notation. 40. Write 1.5 × 10 −3 in standard form. 41. Find the ratio of 8 inches to 4 feet. 42. Solve: 3 = 5 4x 24 43. Solve: 2x − 1 = 5 12 8 44. If 50 pounds of flour must be mixed with 10 gallons of water. How much water must be mixed with 600 pounds of flour? 45. Write 72% as a reduced fraction? 46. What is 15% of 150? 47. The number 125 is what percent of 150? 48. One-hundred is 5% of what number 49. Calculate an 8.5% sales tax on a $15,800 car. 50. A $500 TV is on sale for $450. What is the make down rate?

WCCCD MAT105

Problem Review of Objectives

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Mat105 problem examples