Grade 7 · Math

7th grade Expand and factor expressions worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Expand and factor expressions

Grade 7 Math Worksheet - Building Confidence

NameDate

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

Jun spots a puzzle at the back of a book. The x pieces in 5(2x + 4) make 10x. How would Jun write all of it without parentheses, with as few terms as possible?
Kira has one minute on the clock, and it ticks loudly. The x pieces in 7(3x + 2) make 21x. How would Kira write all of it without parentheses, with as few terms as possible?
Luz digs a puzzle card out of a backpack. The x pieces in 6(x + 7) make 6x. How would Luz write all of it without parentheses, with as few terms as possible?
Ren starts the timer, and it beeps like a chicken. How would Ren write 8x + 20 with 4 taken out, using parentheses?
The math bell rings, and Tala grabs the puzzle. How would Tala write 9x + 15 with 3 taken out, using parentheses?
6.
Bo unwraps a gift with a puzzle card inside. Which expression is equal to 14x + 35?
- 7(5x + 2)
- 49x
- 7(2x + 5)
- 7(2x + 35)
7.
Esme finds a puzzle in the mailbox, folded in three. Which expression is equal to 18x + 27?
- 9(2x + 3)
- 45x
- 9(2x + 27)
- 9(3x + 2)
Each of Kira's 5 boxes holds x crayons and 4 stickers. How many crayons and stickers in all, with no parentheses?
Noah has 10x + 15 shells to share equally among 5 friends. How would Noah write the total as 5 equal groups, using parentheses?
Pia has 10x + 25 pencils to share equally among 5 friends. How would Pia write the total as 5 equal groups, using parentheses?

7th grade Expand and factor expressions worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Expand and factor expressions. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can write 4(2x + 3) as 8x + 12 and -2(x + 3) as -2x − 6, multiplying every term inside the parentheses.
I can expand and join like terms, like 3(x + 2) + 4x = 7x + 6, and subtract parentheses, like 8x − 3(2x − 5) = 2x + 15.
I can pull a common factor out of 8x + 20 to get 4(2x + 5), and take out the greatest one.

Standard: 7.EE.A.1

Words to know

expand: Write an expression in parentheses without the parentheses, like 3(x + 2) = 3x + 6.

factor (verb): Pull a common number out and put the rest in parentheses, like 3x + 6 = 3(x + 2).

factor (noun): A number that divides each term evenly. 3 is a factor of 3x and 6.

greatest common factor: The biggest number that divides every term evenly.

distribute: Multiply the number outside the parentheses by every term inside.

coefficient: The number multiplying the letter. In 3x + 4 it is 3.

Common mistakes

Your child multiplied only the first term inside the parentheses, so the second term stayed as it was.

Your child multiplied both terms but lost the minus sign on the second one. Try circling the minus sign before multiplying, and keep it with its number.

Your child multiplied both terms but the minus sign in front only reached the first one.

What to say

Ask: how many bars have the second piece? Draw them and count.

Ask: does the minus in front change the sign of every term inside?

Questions parents ask

What is the most common mistake with expand and factor expressions?

Your child multiplied only the first term inside the parentheses, so the second term stayed as it was.

How can I help my child with expand and factor expressions?

Ask: how many bars have the second piece? Draw them and count.

Are these 7th 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 7 math

See all grade 7 math

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