Solving Equations And Inequalities.

Solve for the given variable. Check your answers.

1. A = 1/2bh; solve for h

2. F = 9/5C + 32; solve for C

3. P = 2L + 2W; solve for W

4. 2(z – 6) + 10z = 8(z – 2)

5. 7 – 6(5 – y) = 10(y – 4)

6. 1/4x – 18 = 1/2x – 6

7. 5/6 = -2/5###i/i### + 1/3###i/i###

8. -0.08(x – 100) + 0.07x = 90

9. 0.75(a – 35.8) = a – 22.4

Solve the following absolute value equations. Hint: There may be two answers.

10. |14 – y| = 12

11. 3|6 – d| = 18

12. |2(p – 4) – 5| = 23

13. 2 + 4|5x – 7| = 46

14. 1/4|6x – 3| = 18.75

Solve and graph the following inequalities on a number line.

Example graph:

Note: When completing this assignment in the Case 2 Answer Template, go to "insert" then "shapes" to select the circles and line(s). Use "shape fill" to make the circle either open or solid.

15. x + 7 > 11

16. 1/8 ≤ 1 – 1/4x

17. -1 ≤ 2 – 3x < 8

18. 2 > 4y – 4 ≥ – 4

      3       3

19. -8x > 16 or 5/6x > 5

 20. -7 + z ≤ 3z + 7 and 2(z – 3) < -4z + 2