Expressions & EquationsGrade 7Missing Number

Grade 7 Expressions & Equations Missing Number

Grade 7 expressions and equations missing number sheet: 24 problems on two-step equations, one-step equations with integers.

CCSSAligned to Common Core 7.EE.4: Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities of the form px + q = r and p(x + q) = r to solve problems.

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Three different problem sets — same skill, same layout, fresh numbers.

Preview — Set A

Find the number that belongs in each blank.

  1. 1.
    Solve: -1x + (-13) = -18
  2. 2.
    Solve: -4x = -16
  3. 3.
    Solve: 4x + (-9) = -25
  4. 4.
    Solve: 5x = -30
  5. 5.
    Solve: 1x + 16 = 17
  6. 6.
    Solve: x - 1 = -12
  7. 7.
    Solve: -2x + 2 = -6
  8. 8.
    Solve: x ÷ 7 = 11
  9. 9.
    Solve: 1x + (-13) = -21
  10. 10.
    Solve: -6x = 48
  11. 11.
    Solve: 8x + 4 = -52
  12. 12.
    Solve: x + 4 = -3
  13. 13.
    Solve: 8x + 8 = 88
  14. 14.
    Solve: -2x = 16
  15. 15.
    Solve: 6x + (-18) = -66
  16. 16.
    Solve: x + -1 = -2
  17. 17.
    Solve: -9x + 11 = 56
  18. 18.
    Solve: x ÷ -1 = -7
  19. 19.
    Solve: -3x + (-16) = -28
  20. 20.
    Solve: x + 6 = -6
  21. 21.
    Solve: -3x + (-7) = -25
  22. 22.
    Solve: x + 7 = 2
  23. 23.
    Solve: 1x + (-18) = -16
  24. 24.
    Solve: x - 11 = -20

What this worksheet covers

There are 24 expressions and equations problems here — one page to work, one page of answers to check against — and Sets B and C repeat the layout with different numbers. Within that, twenty of the 24 problems involve a negative quantity and the numbers run as high as 88. Problems 9 and 17, for instance, are "Solve: 1x + (-13) = -21" and "Solve: -9x + 11 = 56". Common Core 7.EE.4 is the slot this page fills.

Skills practised

Grade 7 expressions and equations means two-step equations, the distributive property, like terms with signed coefficients and one-step inequalities. What a student is asked to do here is two-step equations and one-step equations with integers. Working the page asks a student to track direction as well as magnitude. Seventeen different answers appear across the 24 problems, so a student cannot copy one result down the page.

About the missing number format

Each of the 24 problems has a blank, and the blank is not always at the end: problem 9, "Solve: 1x + (-13) = -21" puts it where the student has to reason backwards. A missing coefficient or constant asks the student to reason about the structure of the expression, which is the algebraic habit itself.

Set A, Set B and Set C

All three sets are produced by the site's deterministic generator from a fixed seed, so they are the same every time the site is built and the answer keys are exact. Where Set A's problem 13 is "Solve: 8x + 8 = 88", Set B's is "Solve: 2x + 13 = 7".

How to use this worksheet

Work it without a calculator. Every one of the 24 expressions and equations problems is designed to be done by hand, and reaching for a calculator at grade 7 skips exactly the reasoning being built. Use the key as a check, not as a grade; none of the 24 problems needs a score attached to be useful.

One mistake to watch for

The distributive property only reaches the first term: 3(x + 4) becomes 3x + 4. On this grade 7 missing number, problem 17 ("Solve: -9x + 11 = 56") is the kind of item where it shows.

The multiplier is being attached to the nearest term only.

Draw arrows from the multiplier to each term inside the bracket before writing anything.

Other grade 7 expressions and equations formats

The same skill in the other formats available at this grade.

  • DrillGrade 7 Expressions & Equations Drill, 30 problems
  • Timed DrillGrade 7 Expressions & Equations Timed Drill, 60 problems
  • Mixed ReviewGrade 7 Expressions & Equations Mixed Review, 30 problems
  • Word Problems7.EE.4 — Equations & Inequalities in the Real World, 22 problems

A step either side

The same format one grade down and one grade up — the easier sheet is often the faster fix when this one is not landing.

Missing Number sheets in other grade 7 topics

No paywall and no account — download any set of this grade 7 expressions and equations missing number, and the answers for all 24 problems are in the matching key.

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