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8th grade Multiply a monomial by an expression, and pull out a common factor worksheet

6 printable versionsOn Level10 questions · answer keyFree · no account

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Multiply a monomial by an expression, and pull out a common factor

Grade 8 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

  1. How would Ari write −3x(2x − 5) with no brackets?

  2. How would Esme write 4x(3 − x) with no brackets?

  3. How would Kira write 0.5x(4x + 6) with no brackets?

  4. Luz factors 12x² − 8x by taking out 4x. What is 12x² − 8x factored?

  5. Milo factors 10x² + 25x by taking out 5x. What is 10x² + 25x factored?

  6. Pia factors −6x² + 15x by taking out −3x. What is −6x² + 15x factored?

  7. Ren factors −8x² − 4x by taking out −4x. What is −8x² − 4x factored?

  8. Zee's quilt is a rectangle x units by x + 6 units. What is its area, with no brackets?

  9. Ari's window is a rectangle 3x units by 2x + 5 units. What is its area, with no brackets?

  10. Bo's door is a rectangle 4x units by x − 2 units. What is its area, with no brackets?

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8th grade Multiply a monomial by an expression, and pull out a common factor worksheet – printable
Print: 123456

About this worksheet

Multiply a monomial by an expression, and pull out a common factor. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can write 3x(x + 2) with no brackets: 3x² + 6x.
  • I can find the greatest common factor of 6x² and 9x: 3x.
  • I can factor 12x² − 8x as 4x(3x − 2) and check by multiplying back.

Standard: state-only (CCSS 7.EE.A.1)

Words to know

monomial: One term: a number, a letter or a product such as 3x.

x²: x times x. Typed as x² or x^2.

greatest common factor: The biggest term that divides every term exactly, number and letter.

factor: Write a sum as a product: the common factor times a bracket.

Common mistakes

Your child multiplied only the first term inside the bracket.

Your child wrote x times x as 2x.

Your child gave the minus of a negative term outside the bracket to the first term only.

What to say

Ask: what does each term inside get multiplied by?

Ask: is x times x the same as x plus x?

Ask: what is −3x times −5?

Questions parents ask

What is the most common mistake with multiply a monomial by an expression, and pull out a common factor?

Your child multiplied only the first term inside the bracket.

How can I help my child with multiply a monomial by an expression, and pull out a common factor?

Ask: what does each term inside get multiplied by?

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 8 math

See all grade 8 math

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