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Lesson 2: Factoring Algebraic Expressions — Practice Questions

  1. 1. What is the greatest common factor (GCF) of the numbers 36 and 48? ___

  2. 2. What is the greatest common factor (GCF) of the terms $14y^2$ and $21y$? ___

  3. 3. What is the greatest common factor (GCF) of the terms $18a$ and 27?

    • A. 3
    • B. 9
    • C. 3a
    • D. 9a

  4. 4. Find the greatest common factor (GCF) of the three terms: $12x^2$, $20x$, and 16. ___

  5. 5. What is the greatest common factor (GCF) of $10a^3$, $15ab$, and $20b^2$?

    • A. 5
    • B. 5a
    • C. 5b
    • D. 5ab

  6. 6. Factor the expression by finding the greatest common factor: $6x + 24 = \_\_\_$

  7. 7. Which of the following is the correct factorization of the expression $-8a - 32$?

    • A. 8(a+4)
    • B. -8(a+4)
    • C. -8(a-4)
    • D. 8(-a-4)

  8. 8. Factor the expression completely: $42 + 7z = \_\_\_$

  9. 9. To factor the expression $15m + 45$, what is the greatest common factor (GCF) that should be used?

    • A. 3
    • B. 5
    • C. 15
    • D. 45

  10. 10. Factor the expression by factoring out the negative GCF: $-12 - 4p = \_\_\_$