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

NameDate

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

Kira spots 4x + 2.5 = 8.5 on the decimal puzzle sheet. What is x?
Pia meets a negative number in front of x: -2x + 6 = 14. What is x?
Tala solves 0.5x + 1.25 = 4.75 with a freshly sharpened pencil. What is x?
Zee saves the hardest card, -2.5x + 5 = -10, for last. What is x?
5.
Bo's study group has four answers for -5x + 10 = -15. Which value of x makes it true?
- 5
- 1
- -7
- -25
Jun's sunflower is 4.5 cm tall and grows 1.5 cm a day. After how many days is it 12 cm tall?
Kira's bathtub already holds 4 gallons and fills 2.5 gallons each minute. After how many minutes does it hold 19 gallons?
Milo walks 1/2 mile to the track, then runs 6 equal laps, for 2 miles in all. How long is one lap?
9.
Noah solves 3x + 4 = 19 with algebra: subtract 4 from both sides, then divide both sides by 3. Which arithmetic does the same steps in the same order?
- (19 − 4) × 3
- 19 ÷ 3 − 4
- (19 − 4) ÷ 3
- (19 + 4) ÷ 3
10.
Pia solves 4x − 7 = 13 with algebra: add 7 to both sides, then divide both sides by 4. Which arithmetic does the same steps in the same order?
- (13 + 7) ÷ 4
- (13 + 7) × 4
- 13 ÷ 4 + 7
- (13 − 7) ÷ 4

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

See all grade 7 math

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