06 Jul 1. Use the formula to solve for the given variable. SolveÂ
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.
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