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7th grade · Math · Unit 4 of 16

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.

Arizona Academic Standards 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 Arizona

In the Arizona Academic Standards, this is unit 4 of 16 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: Arizona 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.

    75 = 8x − 13

    answer box

  2. Question 2

    On a balance scale, 8 identical bags of marbles plus 11 loose marbles balance 43 loose marbles. How many marbles are in each bag?

    ⚖️8x + 11 = 43

    answer box

  3. Question 3

    Is x = 14 a solution of 8x − 10 = 102?

    8x − 10 = 102

    • Yes
    • No

  4. Question 4

    Solve: 9n − 11 = 34

    • 5
    • 4
    • 6
    • 45

  5. Question 5

    Which equation matches this sentence? "Nine times a number, minus 5, equals 40."

    • 5n − 9 = 40
    • 9(n − 5) = 40
    • 9n + 5 = 40
    • 9n − 5 = 40

  6. Question 6

    A climbing gym charges a $35 membership fee plus $6 per visit. Amir paid $119 in total. How many visits was that?

    answer box

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