1. Use the formula to solve for the given variable.

Solve

i = Prt for i, given that P = $8000, r = 9%, and t = 3 1/2 years. i = $____

2. Use the formula to solve for the given variable.

Solve

i = Prt for P, given that r = 8 ½ %, t = 4 years, and i = $374. P = $ ___

3. Solve the following for the indicated variable.

V = 1/3 Bh for B (Volume of a pyramid) B=___

4. Solve the following for the indicated variable.

F = 9/5 C + 32 for C (Celsius to Fahrenheit) C=___

5. Solve the problem by setting up and solving an appropriate algebraic equation.

Suppose that you have a supply of a 25% solution of alcohol and a 75% solution of alcohol. How many quarts of each should be mixed to produce 80 quarts that is 40% alcohol?

25% solution___ qt

75% solution___qt

6. Express the interval as an inequality using the variable x. For example, we can express the interval [5, ∞) as x ≥ 5.

(14, ∞)

7. Solve the inequality.

−5x ≥ 40

_____

Graph the solution set on a number line.

8. Solve the inequality.

3x − 4 > −10

_____

Graph the solution set on a number line.

9. Solve the inequality.

17 < 1 − 8x

_____

Graph the solution set on a number line.

10. Solve the inequality and express the solution set using interval notation.

−5(3x + 4) < −2(7x − 1)

____

11. Solve the inequality and express the solution set in interval notation.

1/4 x − 5/3x < − 17

_____

12. Graph the solution set for the compound inequality.

x > −3 and x < 7

_____

Express the solution set in interval notation. (Enter EMPTY or ∅ for the empty set.) ___

13. Solve the compound inequality and graph the solution set.

x − 3 > −1 and x − 3 < 1

______

Express the solution set in interval notation. ___

14. Solve the problem by setting up and solving an appropriate inequality.
Mona invests $1000 at 9% yearly interest. How much does she have to invest at 4% so that the total yearly interest from the two investments exceeds $150?
more than $___

15. Solve the equation.

|2x − 4| = 6

x = ___ (smaller value)

x = ____ (larger value)

16. Solve the equation.

|2 − 2x| = 6

x = ___ (smaller value)

x = ____ (larger value)

17. Solve the equation.

|2x − 8| + 9 = 17

x = ___ (smaller value)

x = ____ (larger value)

18. Solve the equation.

|7x − 6| + 8 = 8

X=___

19. Solve the inequality. (Enter your answer using interval notation.)