Grade 7 · Math

7th grade Equivalent expressions and what each form tells you worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Equivalent expressions and what each form tells you

Grade 7 Math Worksheet - Building Confidence

NameDate

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

1.
Milo starts the timer, and it beeps like a chicken. Which expression is equal to all 7 bars together?
- 21x
- 7(x + 3)
- 28x
- 7x + 3
2.
Not to scale. Pia earns a star for every neat puzzle. Which expression is equal to all 2 bars together?
- 2(3x + 4)
- 14x
- 24x
- 6x + 4
3.
Each of Ren's 9 boxes holds x pencils and 4 erasers. Which expression counts the pencils and the erasers separately, for all the boxes?
- 9x + 36
- 9x + 4
- 9(x + 4)
- 45x
4.
Each of Tala's 4 boxes holds x pencils and 3 erasers. Which expression for all the boxes shows what one box holds?
- 4x + 3
- 4(x + 3)
- 16x
- 4x + 12
5.
Each of Zee's 5 boxes holds x pencils and 3 erasers. Which expression counts the pencils and the erasers separately, for all the boxes?
- 20x
- 5(x + 3)
- 5x + 15
- 5x + 3
6.
Each of Ari's 2 boxes holds x pencils and 6 erasers. Which expression for all the boxes shows what one box holds?
- 2x + 12
- 14x
- 2(x + 6)
- 2x + 6
Bo wears a crown for the puzzle of the day. Bo writes 7x + 42 = 7(x + ?). What number replaces the question mark so the sides are equivalent?
Jun finds a puzzle in the mailbox, folded in three. Jun writes 6x + 42 = 6(x + ?). What number replaces the question mark so the sides are equivalent?
Kira tips a cap and starts the puzzle. Kira writes 6(x + 9) = 6x + ?. What number replaces the question mark so the sides are equivalent?
It rains, so Luz does the puzzle under an umbrella. Luz writes 7(x + 8) = 7x + ?. What number replaces the question mark so the sides are equivalent?

7th grade Equivalent expressions and what each form tells you worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Equivalent expressions and what each form tells you. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can say why 2x + 6 and 3x + 5 are not equivalent even though they match at x = 1.
I can tell which form shows one box (the parentheses) and which form counts each kind separately (the expanded form).
I can find the missing number that makes two forms equal, like 6x + 42 = 6(x + ?), and say what a part of a form stands for in the story.

Standard: 7.EE.A.2

Words to know

equivalent: Two expressions are equivalent if they give the same number for every x.

form: One way of writing an expression, like 3(x + 2) or 3x + 6.

expanded form: A form with no parentheses, like 3x + 6, that counts each kind of piece separately.

parentheses form: A form like 3(x + 2) that shows one group and how many groups there are.

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

test value: A number put in for x to compare two expressions.

Common mistakes

Your child rewrote an expression in parentheses by multiplying only the first term, so the second term was counted once.

Your child added the plain numbers into the x pieces, so numbers with no letter became extra x's.

Your child multiplied all the numbers together and put the answer on x, so the plain piece turned into more x's.

What to say

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

Ask: can a plain piece and an x piece go into one pile?

Ask: which piece is x, and which piece is just a number?

Questions parents ask

What is the most common mistake with equivalent expressions and what each form tells you?

Your child rewrote an expression in parentheses by multiplying only the first term, so the second term was counted once.

How can I help my child with equivalent expressions and what each form tells you?

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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