Expressions & Equations•Grade 7•Missing 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 practiced

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 same operation is not done to both sides: x + 5 = 12 is followed by x = 12 + 5 instead of x = 12 − 5. On this grade 7 missing number, problem 12 ("Solve: x + 4 = -3") is the kind of item where it shows.

The equation is being read as instructions rather than as a balance.

Draw a line down through the equals sign and write the inverse operation on both sides of it, every time.

Other grade 7 expressions and equations formats

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

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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