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9th Grade Factoring Expressions (Common Factors) Worksheet — Level 3 — 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 3 — Answers

Take out the highest common factor. Where the first term is negative, take out a negative factor.

1.Factor fully: −20x + 24

Answer: −4(5x − 6)

  1. Highest common factor: −4
  2. −20x + 24 = −4(5x − 6)
  3. Check by expanding the parentheses.
2.Factor fully: 6x2 − 36x − 6

Answer: 6(x2−6x−1)

  1. Highest common factor: 6
  2. 6x2 − 36x − 6 = 6(x2 − 6x − 1)
  3. Check by expanding the parentheses.
3.Factor fully: 5ab + 15a

Answer: 5a(b + 3)

  1. Highest common factor: 5a
  2. 5ab + 15a = 5a(b + 3)
  3. Check by expanding the parentheses.
4.Factor fully: −9x + 36

Answer: −9(x − 4)

  1. Highest common factor: −9
  2. −9x + 36 = −9(x − 4)
  3. Check by expanding the parentheses.
5.Factor fully: 15x2 + 35x + 5

Answer: 5(3x2+7x+1)

  1. Highest common factor: 5
  2. 15x2 + 35x + 5 = 5(3x2 + 7x + 1)
  3. Check by expanding the parentheses.
6.Factor fully: 24ab − 42a

Answer: 6a(4b − 7)

  1. Highest common factor: 6a
  2. 24ab − 42a = 6a(4b − 7)
  3. Check by expanding the parentheses.
7.Factor fully: −25x + 20

Answer: −5(5x − 4)

  1. Highest common factor: −5
  2. −25x + 20 = −5(5x − 4)
  3. Check by expanding the parentheses.
8.Factor fully: 24x2 + 6x + 30

Answer: 6(4x2+x+5)

  1. Highest common factor: 6
  2. 24x2 + 6x + 30 = 6(4x2 + x + 5)
  3. Check by expanding the parentheses.
9.Factor fully: 6ab + 8a

Answer: 2a(3b + 4)

  1. Highest common factor: 2a
  2. 6ab + 8a = 2a(3b + 4)
  3. Check by expanding the parentheses.
10.Factor fully: −27x − 63

Answer: −9(3x + 7)

  1. Highest common factor: −9
  2. −27x − 63 = −9(3x + 7)
  3. Check by expanding the parentheses.
11.Factor fully: 6x2 − 6x + 4

Answer: 2(3x2−3x+2)

  1. Highest common factor: 2
  2. 6x2 − 6x + 4 = 2(3x2 − 3x + 2)
  3. Check by expanding the parentheses.
12.Factor fully: 30ab + 25a

Answer: 5a(6b + 5)

  1. Highest common factor: 5a
  2. 30ab + 25a = 5a(6b + 5)
  3. Check by expanding the parentheses.
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