GED Practice

GED Math Review: factoring: Finding the GCF


Questions:

A. Factor each expression so that one factor is the GCF of the expression.


  1. 5x + 30
  2. 6y + 15
  3. 8x - 2
  4. 4z - 14
  5. b² + 9b
  6. y² + 3y
  7. 2x² + 4x
  8. 3x² + 9x
  9. 7y² - y
  10. 4x² + 2x
  11. ab + 2b
  12. 7xy + 14y
  13. 4z² - z
  14. 5z³ - 2z²
  15. 3x²y + 9x

    B. For each question, choose the answer in which one of the factors is the GCF of the expression.
  16. Which of the following are the factors of 8abc - 2bc?
    • bc(8a - 2)
    • 2bc(4a - 1)
    • 4ab(2c - b)
    • 8a(bc - 2)
  17. What are the factors of 3z³ - 9z²?
    • 3z² and z - 3
    • 3z and z² - 3
    • z² and 3z - 9
    • z and 3z² - 9z
Answers:

  1. 5(x + 6)
  2. 3(2y + 5)
  3. 2(4x - 1)
  4. 2(2z - 7)
  5. b(b + 9)
  6. y(y + y)
  7. 2x(x + 2)
  8. 3x(x + 3)
  9. y(7y - 1)
  10. 2x(2x + 1)
  11. b(a + 2)
  12. 7y(x + 2)
  13. z(4z - 2)
  14. z²(5z - 2)
  15. 3x(xy + 3)
  16. 2bc(4a - 1)
  17. 3z² and z - 3








Reference:




Complete Test Preparation for the GED Test 2014 by Steck-Vaughn