### Algebra

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• 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.)
• |x| > 4
• _____
• Graph the solution.