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Solve for the given variable. Check your answers.

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

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

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

4. 2(*z* – 6) + 10*z* = 8(*z* – 2)

5. 7 – 6(5 – *y*) = 10(*y* – 4)

6. 1/4*x* – 18 = 1/2*x* – 6

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

** **

8. -0.08(*x* – 100) + 0.07*x* = 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|5*x* – 7| = 46

14. 1/4|6*x* – 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 – 1/4*x*

17. -1 ≤ 2 – 3*x* < 8

18. __2__ > __4 y – 4__ ≥ – 4

3 3

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

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

**Title:**
Solving Equations And Inequalities.

**Length:**
2 pages
(538 Words)

**Style:**
N/A

**Preview**

**Solving equations and inequalities**

Solve for the given variable. Check your answers.

- A = 1/2
*bh*; solve for*h*

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