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

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

1.Factor fully: 8m + 36n

Answer: 4(2m + 9n)

  1. Highest common factor: 4
  2. 8m + 36n = 4(2m + 9n)
  3. Check by expanding the parentheses.
2.Factor fully: 12x2 − 32x

Answer: 4x(3x − 8)

  1. Highest common factor: 4x
  2. 12x2 − 32x = 4x(3x − 8)
  3. Check by expanding the parentheses.
3.Factor fully: 16a + 4b

Answer: 4(4a + b)

  1. Highest common factor: 4
  2. 16a + 4b = 4(4a + b)
  3. Check by expanding the parentheses.
4.Factor fully: 20x2 − 35x

Answer: 5x(4x − 7)

  1. Highest common factor: 5x
  2. 20x2 − 35x = 5x(4x − 7)
  3. Check by expanding the parentheses.
5.Factor fully: 30m + 6n

Answer: 6(5m + n)

  1. Highest common factor: 6
  2. 30m + 6n = 6(5m + n)
  3. Check by expanding the parentheses.
6.Factor fully: 6x2 − 54x

Answer: 6x(x − 9)

  1. Highest common factor: 6x
  2. 6x2 − 54x = 6x(x − 9)
  3. Check by expanding the parentheses.
7.Factor fully: 18x + 30y

Answer: 6(3x + 5y)

  1. Highest common factor: 6
  2. 18x + 30y = 6(3x + 5y)
  3. Check by expanding the parentheses.
8.Factor fully: 6x2 − 8x

Answer: 2x(3x − 4)

  1. Highest common factor: 2x
  2. 6x2 − 8x = 2x(3x − 4)
  3. Check by expanding the parentheses.
9.Factor fully: 4m + 14n

Answer: 2(2m + 7n)

  1. Highest common factor: 2
  2. 4m + 14n = 2(2m + 7n)
  3. Check by expanding the parentheses.
10.Factor fully: 20x2 − 32x

Answer: 4x(5x − 8)

  1. Highest common factor: 4x
  2. 20x2 − 32x = 4x(5x − 8)
  3. Check by expanding the parentheses.
11.Factor fully: 4x − 14y

Answer: 2(2x − 7y)

  1. Highest common factor: 2
  2. 4x − 14y = 2(2x − 7y)
  3. Check by expanding the parentheses.
12.Factor fully: 8x2 + 10x

Answer: 2x(4x + 5)

  1. Highest common factor: 2x
  2. 8x2 + 10x = 2x(4x + 5)
  3. Check by expanding the parentheses.
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