Grade 7 · Math

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

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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

Grade 7 Math Worksheet - Building Confidence

NameDate

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

Jun draws the bars for 4x − 8 = 20 in pen, very boldly. What is x?
Kira finds this on a puzzle card: 2x + 10 = 4. What is x?
The math club warm-up is 4x + 12 = -8, and Luz wants to finish first. What is x?
Milo copies 5x − 15 = -30 from the board and draws the bars. What is x?
Noah's quiz starts with 2x − 8 = -2. What is x?
Pia doodles a tiny star next to 6x + 18 = -12 for luck. What is x?
Ren gets 3x − 9 = -21 as the bonus question. What is x?
8.
Tala tests four guesses for 2x + 6 = 20. Which value of x makes it true?
- 13
- 4
- 7
- 14
9.
Zee has four possible answers for 5x − 10 = 25, and only one works. Which value of x makes it true?
- 3
- 35
- 7
- 15
Jun has 8 shells and finds 4 more each day at the beach. After how many days does Jun have 36 shells?

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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