WCCCD MAT12 ELEMENTARY ALGEBRA

Problem Review of Objectives

1. Place and > or < between –50 and –60 to make a true relation. 2. Translate “The purchase of two Tiger tickets plus parking fee of five dollars.” into a variable expression. 3. Evaluate x 2 − xy when x = –5 and y = 2. 4. If 2x – 1 = 7, then what does 4x – 1 equal?

5. Completely solve the following x − 1 = 5 ? 6. Solve a − 3a = 6 − 12

7. Solve

3 m = 60 4

8. Solve 1− 3P = 2 9. Solve x − 3(2x − 1) = 4 − x 10. A manufacturing engineer determines that the cost per unit for an engine is \$150 and the fixed cost is \$60,000. The price for each engine is \$350. Find the number of engines that must be sold to break even using the business formula P⋅n = C ⋅n + F . 11. If you receive an 80% score on a test with 150 question of equal value, how many answers did you get correct? 12. The 8% Florida sales tax on an item you purchased is \$4.00. How much did the item cost before tax?

13. The WCCCD catalog has 400 different courses. Sixty of these courses are offered on-line. What percentage of the courses are available on-line? 14. Determine the size of the larger angle in this figure.

15. Which of the following is the best model of the two acute angles in a right triangle?

16. The circumference of a circle is 100 inches. Find the length of a radius of the circle. Round to the nearest tenth. Use 3.14 = π

WCCCD MAT112

Problem Review of Objectives

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WCCCD MAT12 ELEMENTARY ALGEBRA

Problem Review of Objectives

17. The area of a trapezoid can be found using the formula A = 12 h(b + B) . If the area A of a trapezoid is 200 square inches with a height h of 8 inches and base B of 12 inches, determine the length of the base b. 18. The perimeter of a rectangle is 60 cm. The length of the rectangle is two more than the width. Find the length of the rectangle.

19. Find the ordered-pair solution of y = 12 − x when x = –4

20. Find the slope of the line containing the points P1 (2, 4) and P2 (–1, 1). 21. Draw the linear graph of a line that has slope − 2 3? 22. Find the y-intercept of the line 4x − 5y = 40.

23. Find the equation of the line containing the points P1 (6, 0) and P2 (12, –3). 24. Draw the graph of 2x − 3y = −12 25. Draw the graph of y = −12 + 2x 26. Given f(x) = 5x – 5, find the value of f(–5). 27. Given F(x) = 2x + 1 and F(x) = 9, find the value of x. 28. There is a \$10 hourly charge to rent a cement saw and a fee of \$2 for insurance. Write a linear equation for the cost of a rental in terms of the number of hours it is used. Let y be the cost and x be the number of hours used. 29. What value(s) of x are excluded from the domain of f (x) =

x −1 ? 2x − 10

30. Find three ordered pairs (points) on the line 2x − 3y = 6 ? 31. What is the slope of a line perpendicular to y = 2x − 3 ?

32. Solve the system of equations 5x − 2 y = 20

y = x −1 33. Simplify 5b3 ⋅3b2 ⋅ 2b

WCCCD MAT112

Problem Review of Objectives

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WCCCD MAT12 ELEMENTARY ALGEBRA

Problem Review of Objectives

34. Simplify (4xy 2 )3

35. Simplify

wt −3 with positive exponents: t 2 w −6

36. Write 96,000,000 in scientific notation. 37. Write 4.5 × 10−1 in standard form. 38. Simplify 4x 2 + 5x − 6 − 2(1− 3x − x 2 ) 39. Simplify x − 4(2x − 6) 40. Expand (x + 4)2

WCCCD MAT112

Problem Review of Objectives

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Mat112 problem examples

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