Grade 8 · Math

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

6 printable versionsChallenge Me10 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 - Challenge Me

NameDate

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

Esme's decimal card says (1.5 + x)(−2x). How would Esme write it with no brackets?
Jun's decimal card says (x − 0.4)(5x). How would Jun write it with no brackets?
Luz's decimal card says (0.5x + 3)(−6x). How would Luz write it with no brackets?
Noah factors 18x³ + 12x by taking out 6x. What is 18x³ + 12x factored?
Pia factors 9x − 3x³ by taking out 3x. What is 9x − 3x³ factored?
Ren factors 8x³ − 2x by taking out 2x. What is 8x³ − 2x factored?
7.
Tala factors 12x² + 18x with its greatest common factor. Which answer is right?
- 6x(2x + 3)
- 3x(4x + 6)
- 6x(2x + 18x)
- 6(2x² + 3x)
8.
Ari factors 16x³ + 8x with its greatest common factor. Which answer is right?
- 8x(2x² + 8x)
- 8(2x³ + x)
- 4x(4x² + 2)
- 8x(2x² + 1)
Jun's last card says 2x(x − 3) + x(4x + 5). How would Jun write it with as few terms as possible?
Kira's last card says −x(x + 1) + 2x(3x + 2). How would Kira write it with as few terms as possible?

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