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9th Grade Factoring Expressions (Common Factors) Worksheet — Level 3 — 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 3 — Practice Set 2 — Answers

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

1.Factor fully: −8x + 32

Answer: −8(x − 4)

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

Answer: 3(x2+2x−1)

  1. Highest common factor: 3
  2. 3x2 + 6x − 3 = 3(x2 + 2x − 1)
  3. Check by expanding the parentheses.
3.Factor fully: 15ab + 18a

Answer: 3a(5b + 6)

  1. Highest common factor: 3a
  2. 15ab + 18a = 3a(5b + 6)
  3. Check by expanding the parentheses.
4.Factor fully: −9x + 72

Answer: −9(x − 8)

  1. Highest common factor: −9
  2. −9x + 72 = −9(x − 8)
  3. Check by expanding the parentheses.
5.Factor fully: 3x2 + 18x − 15

Answer: 3(x2+6x−5)

  1. Highest common factor: 3
  2. 3x2 + 18x − 15 = 3(x2 + 6x − 5)
  3. Check by expanding the parentheses.
6.Factor fully: 24ab − 20a

Answer: 4a(6b − 5)

  1. Highest common factor: 4a
  2. 24ab − 20a = 4a(6b − 5)
  3. Check by expanding the parentheses.
7.Factor fully: −20x + 15

Answer: −5(4x − 3)

  1. Highest common factor: −5
  2. −20x + 15 = −5(4x − 3)
  3. Check by expanding the parentheses.
8.Factor fully: 3x2 − 21x − 6

Answer: 3(x2−7x−2)

  1. Highest common factor: 3
  2. 3x2 − 21x − 6 = 3(x2 − 7x − 2)
  3. Check by expanding the parentheses.
9.Factor fully: 6ab − 21a

Answer: 3a(2b − 7)

  1. Highest common factor: 3a
  2. 6ab − 21a = 3a(2b − 7)
  3. Check by expanding the parentheses.
10.Factor fully: −16x + 20

Answer: −4(4x − 5)

  1. Highest common factor: −4
  2. −16x + 20 = −4(4x − 5)
  3. Check by expanding the parentheses.
11.Factor fully: 20x2 − 5x + 10

Answer: 5(4x2−x+2)

  1. Highest common factor: 5
  2. 20x2 − 5x + 10 = 5(4x2 − x + 2)
  3. Check by expanding the parentheses.
12.Factor fully: 2ab − 4a

Answer: 2a(b − 2)

  1. Highest common factor: 2a
  2. 2ab − 4a = 2a(b − 2)
  3. Check by expanding the parentheses.
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