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9th Grade Factoring Expressions (Common Factors) Worksheet — Level 2 — Answers

Answer sheet with worked solutions for the 9th Grade algebraic expressions worksheet.

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Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Algebraic Expressions

9th Grade Factoring Expressions (Common Factors) Worksheet — Level 2 — Answers

Find the highest common factor of the terms and write it outside the parentheses.

1.Factor fully: 6x − 6y

Answer: 6(x − y)

  1. Highest common factor: 6
  2. 6x − 6y = 6(x − y)
  3. Check by expanding the parentheses.
2.Factor fully: 9x2 + 12x

Answer: 3x(3x + 4)

  1. Highest common factor: 3x
  2. 9x2 + 12x = 3x(3x + 4)
  3. Check by expanding the parentheses.
3.Factor fully: 8m + 72n

Answer: 8(m + 9n)

  1. Highest common factor: 8
  2. 8m + 72n = 8(m + 9n)
  3. Check by expanding the parentheses.
4.Factor fully: 4x2 − 12x

Answer: 4x(x − 3)

  1. Highest common factor: 4x
  2. 4x2 − 12x = 4x(x − 3)
  3. Check by expanding the parentheses.
5.Factor fully: 12m − 32n

Answer: 4(3m − 8n)

  1. Highest common factor: 4
  2. 12m − 32n = 4(3m − 8n)
  3. Check by expanding the parentheses.
6.Factor fully: 18x2 − 30x

Answer: 6x(3x − 5)

  1. Highest common factor: 6x
  2. 18x2 − 30x = 6x(3x − 5)
  3. Check by expanding the parentheses.
7.Factor fully: 30x − 5y

Answer: 5(6x − y)

  1. Highest common factor: 5
  2. 30x − 5y = 5(6x − y)
  3. Check by expanding the parentheses.
8.Factor fully: 12x2 − 4x

Answer: 4x(3x − 1)

  1. Highest common factor: 4x
  2. 12x2 − 4x = 4x(3x − 1)
  3. Check by expanding the parentheses.
9.Factor fully: 48m + 56n

Answer: 8(6m + 7n)

  1. Highest common factor: 8
  2. 48m + 56n = 8(6m + 7n)
  3. Check by expanding the parentheses.
10.Factor fully: 16x2 + 20x

Answer: 4x(4x + 5)

  1. Highest common factor: 4x
  2. 16x2 + 20x = 4x(4x + 5)
  3. Check by expanding the parentheses.
11.Factor fully: 9x + 21y

Answer: 3(3x + 7y)

  1. Highest common factor: 3
  2. 9x + 21y = 3(3x + 7y)
  3. Check by expanding the parentheses.
12.Factor fully: 12x2 − 21x

Answer: 3x(4x − 7)

  1. Highest common factor: 3x
  2. 12x2 − 21x = 3x(4x − 7)
  3. Check by expanding the parentheses.
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