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8th Grade Factoring Expressions (Common Factors) Worksheet — Level 2 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 8th Grade algebraic expressions worksheet.

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Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Algebraic Expressions

8th 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: 10x + 4y

Answer: 2(5x + 2y)

  1. Highest common factor: 2
  2. 10x + 4y = 2(5x + 2y)
  3. Check by expanding the parentheses.
2.Factor fully: 6x2 + 36x

Answer: 6x(x + 6)

  1. Highest common factor: 6x
  2. 6x2 + 36x = 6x(x + 6)
  3. Check by expanding the parentheses.
3.Factor fully: 40x + 56y

Answer: 8(5x + 7y)

  1. Highest common factor: 8
  2. 40x + 56y = 8(5x + 7y)
  3. Check by expanding the parentheses.
4.Factor fully: 8x2 + 36x

Answer: 4x(2x + 9)

  1. Highest common factor: 4x
  2. 8x2 + 36x = 4x(2x + 9)
  3. Check by expanding the parentheses.
5.Factor fully: 25m + 20n

Answer: 5(5m + 4n)

  1. Highest common factor: 5
  2. 25m + 20n = 5(5m + 4n)
  3. Check by expanding the parentheses.
6.Factor fully: 18x2 + 3x

Answer: 3x(6x + 1)

  1. Highest common factor: 3x
  2. 18x2 + 3x = 3x(6x + 1)
  3. Check by expanding the parentheses.
7.Factor fully: 42a − 49b

Answer: 7(6a − 7b)

  1. Highest common factor: 7
  2. 42a − 49b = 7(6a − 7b)
  3. Check by expanding the parentheses.
8.Factor fully: 3x2 + 27x

Answer: 3x(x + 9)

  1. Highest common factor: 3x
  2. 3x2 + 27x = 3x(x + 9)
  3. Check by expanding the parentheses.
9.Factor fully: 27a − 9b

Answer: 9(3a − b)

  1. Highest common factor: 9
  2. 27a − 9b = 9(3a − b)
  3. Check by expanding the parentheses.
10.Factor fully: 4x2 − 9x

Answer: x(4x − 9)

  1. Highest common factor: x
  2. 4x2 − 9x = x(4x − 9)
  3. Check by expanding the parentheses.
11.Factor fully: 2a − 18b

Answer: 2(a − 9b)

  1. Highest common factor: 2
  2. 2a − 18b = 2(a − 9b)
  3. Check by expanding the parentheses.
12.Factor fully: 8x2 + 2x

Answer: 2x(4x + 1)

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