# Graphing, inequalities, absolute value, solving equations

1. Find the solution sets for the following: |5x - 7| > 12

2. Find the equation of the line satisfying the following: The line with x-intercept 7 and y-intercept -5.

3. Graph the functions L(x) = -3x + 17 and Q(x) = 2x2 + 7x - 22 on the same set of axes.

4. Determine the x-intercepts of g(x) = x2 - x - 20

5. Determine the solution to the following system of equations:
2x - y - 4z = 9
x - 2y + z = 3
3x + y + z = -2

6. The base of a ladder sits 15 feet from the edge of a building. If the ladder reaches 20 feet up the building, how long is the ladder?

7. Given the formula from physics, v = (v1 + v2)/(1 + v2/c2), solve for v1.

1. You want 88 ounces of the alloy. Of that 88 ounces, 20.68 ounces will be copper (We know that 23.5% of the alloy is copper, and 0.235*88 = 20.68).

2. Word problem about percentages.
[see attachment]

3.-6. Problems about factoring.
[see attachment]

7.-10. Word problems.
[see attachment]

11. Absolute value problem.
[see attachment]

12. |4m + 2| = 4

13. 20y2 + 27y + 9 = 0

14. (3y - 4)(9y2 + 12y + 16)

15. (x + 2y)(x - 5y)

16. 8x - 7y = -48
6x + 4y = -36

17. 2(y + 2) = 3(y - 6)

18. 78 = 9x - 3

19. (1/4)p - (3/8)p = 2

20. Word problem using a system of equations.
[see attachment]

21. -2x + 7(2x - 6) = -24 - 6x

22. f(x) = |-9x + 2|

23. Word problem involving interest.
[see attachment]

24. What is the line through these points? (1, -3) and (-4, 0)

25. f(x) = -x2 + 2x - 5

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