Grade 7 · Math

7th grade Solve two-step equations like 3x + 4 = 19 worksheet

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Solve two-step equations like 3x + 4 = 19

Grade 7 Math Worksheet - Challenge Me

NameDate

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

Ari tries (3/4)x + 7 = 1, which looks friendly but isn't. What is x?
Esme finds (5/4)x + 1/2 = 3 in the challenge corner of the math book. What is x?
Jun's card has x on the right side: -12 = 4x + 8. What is x?
Kira reads 6 = 1.5x − 4.5 from right to left, just to be different. What is x?
Luz gets -2 = -0.5x + 3.5 as the warm-up. What is x?
6.
Noah tests four guesses for (2/3)x − 4 = 6. Which value of x makes it true?
- 20/3
- 13
- 15
- 10
7.
Pia's team has four answers for -0.5x + 3 = 8. Which value of x makes it true?
- -10
- 10
- -19
- 5
8.
Ren checks four answers for 1 = 4x + 9, with x on the right. Which value of x makes it true?
- -2
- 5/2
- 2
- -8
Ari reads 2/3 of a book, then 12 more pages, for 52 pages so far. How many pages long is the book?
Bo's class fund had $12. The class adds 3/4 of its bake-sale money, and now the fund has $57. How much money did the bake sale make?

7th grade Solve two-step equations like 3x + 4 = 19 worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Solve two-step equations like 3x + 4 = 19. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can solve an equation like 3x + 4 = 19, 4x − 8 = 20 or -2x + 6 = 14 in two steps: undo the extra piece, then undo the times.
I can do it with negatives, decimals and fractions, like (2/3)x + 5 = 11, and when x is on the right, like -12 = 4x + 8.
I can check a value by putting it back in, and I can match the algebra steps to the arithmetic (19 − 4) ÷ 3.

Standard: 7.EE.B.4a

Words to know

two-step equation: An equation like 3x + 4 = 19 that takes two undoing steps to solve.

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

constant: The number on its own, like the 4 in 3x + 4.

bar model (tape diagram): Two bars of equal value: the left side on top, the right side below.

undo: Do the opposite: minus undoes plus, divide undoes times.

check: Put your answer back into the equation and see that both sides match.

Common mistakes

Your child divided by the number in front of x before taking away the extra amount, so the extra amount was never divided. Try drawing the bar together: take the extra piece off first, then split what is left.

Your child added the extra amount when it had to come off, or took it off when it had to go back on.

Your child found what all the x pieces are worth together and stopped there.

What to say

Ask: to get the x pieces alone, do we take this piece off or put it back?

Ask: that is what 3x is worth; how much is just one x?

Questions parents ask

What is the most common mistake with solve two-step equations like 3x + 4 = 19?

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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