Grade 7 · Math

7th grade Expand and factor expressions worksheet

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Expand and factor expressions

Grade 7 Math Worksheet - Challenge Me

NameDate

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

Milo puts on glasses to read very tiny print. How would Milo write 4(x/2 − 3/4) without parentheses, with as few terms as possible?
Pia copies a puzzle onto paper, then doodles a cat in the corner. How would Pia write -2(3x/4 + 1/2) without parentheses, with as few terms as possible?
Ari writes the puzzle in blue pen, very boldly. How would Ari write 8x − 3(2x − 5) without parentheses, with as few terms as possible?
Bo finds a puzzle hiding on the classroom calendar. How would Bo write 5 − 2(x + 4) without parentheses, with as few terms as possible?
5.
Jun starts the timer, and it beeps like a chicken. Which expression is equal to 3x/4 + 9/4?
- (3/4)(x + 9/4)
- (3/4)(3x + 1)
- 3x
- (3/4)(x + 3)
6.
Luz earns a star for every neat puzzle. Which expression is equal to 5x + 15/2?
- (5/2)(3x + 2)
- 25x/2
- (5/2)(2x + 3)
- (5/2)(2x + 15/2)
7.
Milo wears a crown for the puzzle of the day. Which expression is equal to 2(3x − 4) − 5x?
- x − 4
- x − 8
- x + 8
- -7x
8.
Noah unwraps a gift with a puzzle card inside. Which expression is equal to 9 − 3(x + 2)?
- -3x + 15
- -3x − 3
- -3x + 3
- -3x + 11
Each of Ren's 4 boxes holds x pencils and 3 erasers. There are also 2 loose pencils. How many pencils and erasers in all, with no parentheses?
Each level gives x points for stars and takes 3 for puddles. After 5 levels, Zee gets a 4-point bonus. What is the total, with no 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

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