Grade 8 · Math

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

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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

Grade 8 Math Worksheet - Building Confidence

NameDate

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

Ari spreads x(x + 4): x × x and x × 4. How would Ari write x(x + 4) with no brackets?
Bo spreads 3x(x + 2): 3x × x and 3x × 2. How would Bo write it with no brackets?
Esme spreads x(2x − 5): x × 2x and x × (−5). How would Esme write it with no brackets?
Jun spreads 2x(3x + 1): 2x × 3x and 2x × 1. How would Jun write it with no brackets?
5.
Kira wants the greatest common factor of 6x² and 9x. Which is it?
- 18x²
- 3
- x
- 3x
6.
Luz wants the greatest common factor of 4x² and 10x. Which is it?
- x
- 4x²
- 10x
- 2x
Pia takes out 3x: 6x² + 9x = 3x(?). How would Pia write 6x² + 9x factored?
Ren takes out 2x: 4x² + 10x = 2x(?). How would Ren write 4x² + 10x factored?
Tala takes out 5x: 5x² + 15x = 5x(?). How would Tala write 5x² + 15x factored?
Zee takes out 4x: 8x² − 12x = 4x(?). How would Zee write 8x² − 12x factored?

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.

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

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.

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.

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?

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.

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records