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

**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.- −5
*x* ≥ 40 - _____
- Graph the solution set on a number line.
**8.** Solve the inequality.- 3
*x* − 4 > −10 **_____**- Graph the solution set on a number line.
**9.** Solve the inequality.- 17 < 1 − 8
*x* *_____*- Graph the solution set on a number line.
**10. **Solve the inequality and express the solution set using interval notation.- −5(3
*x* + 4) < −2(7*x* − 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.- |2
*x* − 4| = 6 *x* = ___ (smaller value)*x* = ____ (larger value)**16. **Solve the equation.- |2 − 2
*x*| = 6 *x* = ___ (smaller value)*x* = ____ (larger value)**17**. Solve the equation.- |2
*x* − 8| + 9 = 17 *x* = ___ (smaller value)*x* = ____ (larger value)**18. **Solve the equation.- |7
*x* − 6| + 8 = 8 - X
**=___** **19. **Solve the inequality. (Enter your answer using interval notation.)- |
*x*| > 4 **_____**- Graph the solution.