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7th grade · Math · Unit 4 of 17

Two-Step Equations

Undo, undo, solve for x

What your child practices

Solving equations like 3x + 5 = 26 by undoing each step on both sides, writing equations from word problems and checking solutions.

Maine Learning Results learning standard: 7.EE.B.4 · writing and solving two-step equations from problems in context

How we explain it

Children can open this short lesson before they practice.

  1. Keep the equation balanced: do the same to both sides.
  2. Undo the adding or subtracting first.
  3. Then undo the multiplying or dividing.

Example: 2x + 3 = 11 Subtract 3 from both sides: 2x = 8. Divide both sides by 2: x = 4. Answer: x = 4

Two-Step Equations in Maine

In the Maine Learning Results, this is unit 4 of 17 in 7th grade Math, after Fractions, Decimals & Percents and before Circles.

Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.

Source: Maine Department of Education

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    Solve for x.

    9x + 28 = 46

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  2. Question 2

    On a balance scale, 7 identical bags of marbles plus 5 loose marbles balance 26 loose marbles. How many marbles are in each bag?

    ⚖️7x + 5 = 26

    answer box

  3. Question 3

    Solve for x.

    53 = 7x + 11

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  4. Question 4

    A climbing gym charges a $20 membership fee plus $7 per visit. Priya paid $125 in total. How many visits was that?

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  5. Question 5

    Solve: 2n − 1 = 5

    • 6
    • 2
    • 4
    • 3

  6. Question 6

    To solve 3x + 4 = 37, how do you undo the + 4?

    • Subtract 4 from the left side only
    • Divide both sides by 4
    • Subtract 4 from both sides
    • Add 4 to both sides

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