# College Algebra

**Field**: Mathematics – Algebra

**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.