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7th grade · Math · Unit 4 of 18

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.

Alabama Course of Study content standard: 7.9 · writing and solving two-step equations from word problems

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 Alabama

In the Alabama Course of Study, this is unit 4 of 18 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: Alabama State Department of Education (ALSDE)

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

    Is x = 13 a solution of 5x − 11 = 44?

    5x − 11 = 44

    • Yes
    • No

  2. Question 2

    Which equation matches this sentence? "Three times a number, minus 2, equals 25."

    • 3n − 2 = 25
    • 2n − 3 = 25
    • 3n + 2 = 25
    • 3(n − 2) = 25

  3. Question 3

    Priya has $10 saved and adds $6 each week. After how many weeks will Priya have $52?

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  4. Question 4

    Solve: 8n − 17 = 31

    • 6
    • 48
    • 5
    • 7

  5. Question 5

    On a balance scale, 9 identical bags of marbles plus 16 loose marbles balance 151 loose marbles. How many marbles are in each bag?

    ⚖️9x + 16 = 151

    answer box

  6. Question 6

    Solve for x.

    29 = 3x + 14

    answer box

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