College 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.
    • Posted: 2 years ago
    • Due: 
    • Budget: $8
    Answers 2
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