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9th Grade Factoring Expressions (Common Factors) Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers

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

1.Factor fully: 8a + 14b

Answer: 2(4a + 7b)

  1. Highest common factor: 2
  2. 8a + 14b = 2(4a + 7b)
  3. Check by expanding the parentheses.
2.Factor fully: 5x2 + 8x

Answer: x(5x + 8)

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

Answer: 4(m + n)

  1. Highest common factor: 4
  2. 4m + 4n = 4(m + n)
  3. Check by expanding the parentheses.
4.Factor fully: 15x2 − 40x

Answer: 5x(3x − 8)

  1. Highest common factor: 5x
  2. 15x2 − 40x = 5x(3x − 8)
  3. Check by expanding the parentheses.
5.Factor fully: 3a + 6b

Answer: 3(a + 2b)

  1. Highest common factor: 3
  2. 3a + 6b = 3(a + 2b)
  3. Check by expanding the parentheses.
6.Factor fully: 15x2 − 9x

Answer: 3x(5x − 3)

  1. Highest common factor: 3x
  2. 15x2 − 9x = 3x(5x − 3)
  3. Check by expanding the parentheses.
7.Factor fully: 6m − 18n

Answer: 6(m − 3n)

  1. Highest common factor: 6
  2. 6m − 18n = 6(m − 3n)
  3. Check by expanding the parentheses.
8.Factor fully: 12x2 − 16x

Answer: 4x(3x − 4)

  1. Highest common factor: 4x
  2. 12x2 − 16x = 4x(3x − 4)
  3. Check by expanding the parentheses.
9.Factor fully: 4x − 28y

Answer: 4(x − 7y)

  1. Highest common factor: 4
  2. 4x − 28y = 4(x − 7y)
  3. Check by expanding the parentheses.
10.Factor fully: 15x2 − 18x

Answer: 3x(5x − 6)

  1. Highest common factor: 3x
  2. 15x2 − 18x = 3x(5x − 6)
  3. Check by expanding the parentheses.
11.Factor fully: 14m − 21n

Answer: 7(2m − 3n)

  1. Highest common factor: 7
  2. 14m − 21n = 7(2m − 3n)
  3. Check by expanding the parentheses.
12.Factor fully: 25x2 − 45x

Answer: 5x(5x − 9)

  1. Highest common factor: 5x
  2. 25x2 − 45x = 5x(5x − 9)
  3. Check by expanding the parentheses.
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