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Expressions & Equations•Grade 7•Timed Drill

Grade 7 Expressions & Equations Timed Drill

Grade 7 expressions and equations timed drill sheet: 60 problems on combining like terms with signed coefficients, evaluating expressions with negative values, one-step equations with integers.

CCSSAligned to Common Core 7.EE.1: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

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

Preview — Set A

Start the timer, then solve as many problems as you can. Write your time in the box when you finish.

TIMED DRILLTime: ______ min ______ secScore: ______ / 60
  1. 1.
    Simplify: 5x + 1 + 1x + 1
  2. 2.
    Evaluate 9x + 5 when x = 8.
  3. 3.
    Solve: x ÷ -2 = 3
  4. 4.
    Simplify: 1x + 1 + (-3)x + 1
  5. 5.
    Evaluate 7x - 18 when x = -4.
  6. 6.
    Solve: x - -12 = 22
  7. 7.
    Simplify: -8x + (-4) + (-7)x + (-6)
  8. 8.
    Evaluate 6x - 7 when x = 4.
  9. 9.
    Solve: -4x = -48
  10. 10.
    Simplify: -8x + 7 + 5x + (-1)
  11. 11.
    Evaluate 6x + 7 when x = -1.
  12. 12.
    Solve: x - 10 = -21
  13. 13.
    Simplify: 2x + 8 + (-9)x + 2
  14. 14.
    Evaluate 4x + 18 when x = -4.
  15. 15.
    Solve: x ÷ 5 = 10
  16. 16.
    Simplify: -4x + 4 + (-1)x + 1
  17. 17.
    Evaluate 2x + 10 when x = -8.
  18. 18.
    Solve: x - 5 = -13
  19. 19.
    Simplify: -5x + 5 + 7x + (-1)
  20. 20.
    Evaluate x² + 16 when x = 7.
  21. 21.
    Solve: x - -11 = 8
  22. 22.
    Simplify: 6x + (-6) + 7x + 1
  23. 23.
    Evaluate x² + 16 when x = 8.
  24. 24.
    Solve: x + 3 = 1
  25. 25.
    Simplify: 1x + (-6) + 3x + 5
  26. 26.
    Evaluate 7x - 3 when x = 5.
  27. 27.
    Solve: x ÷ 7 = -5
  28. 28.
    Simplify: 7x + 6 + 8x + (-8)
  29. 29.
    Evaluate x² + 17 when x = -3.
  30. 30.
    Solve: 5x = -45
  31. 31.
    Simplify: 9x + (-9) + 4x + (-7)
  32. 32.
    Evaluate 6x - 17 when x = 6.
  33. 33.
    Solve: x ÷ 3 = 9
  34. 34.
    Simplify: -3x + (-1) + 3x + (-3)
  35. 35.
    Evaluate x² + 12 when x = 1.
  36. 36.
    Solve: x + 10 = 21
  37. 37.
    Simplify: -4x + 9 + (-8)x + (-7)
  38. 38.
    Evaluate x² + 16 when x = 3.
  39. 39.
    Solve: x ÷ 4 = 6
  40. 40.
    Simplify: -9x + (-9) + (-5)x + (-1)
  41. 41.
    Evaluate 5x + 17 when x = -6.
  42. 42.
    Solve: 1x = -8
  43. 43.
    Simplify: 9x + (-3) + (-4)x + (-6)
  44. 44.
    Evaluate 5x - 11 when x = 1.
  45. 45.
    Solve: x ÷ -5 = -3
  46. 46.
    Simplify: -4x + (-6) + 9x + (-2)
  47. 47.
    Evaluate 6x - 9 when x = 2.
  48. 48.
    Solve: x + 8 = 9
  49. 49.
    Simplify: 7x + (-9) + (-3)x + 5
  50. 50.
    Evaluate 8x - 2 when x = -5.
  51. 51.
    Solve: x + 12 = 22
  52. 52.
    Simplify: -4x + 4 + (-9)x + 7
  53. 53.
    Evaluate x² + 10 when x = -5.
  54. 54.
    Solve: x - -10 = 7
  55. 55.
    Simplify: 1x + (-8) + (-2)x + 2
  56. 56.
    Evaluate 6x - 10 when x = -7.
  57. 57.
    Solve: -6x = -6
  58. 58.
    Simplify: -9x + (-4) + (-1)x + (-4)
  59. 59.
    Evaluate 9x - 17 when x = 4.
  60. 60.
    Solve: x - -8 = 2

What this worksheet covers

60 expressions and equations problems fill this timed drill page; problem 21 asks "Solve: x - -11 = 8", and the sheet stays at that level throughout. 42 of the 60 problems involve a negative quantity and the expressions carry exponents, so the order of operations decides the answer. Further down, problem 41 asks "Evaluate 5x + 17 when x = -6.". Common Core 7.EE.1 is the slot this page fills.

Skills practised

The grade 7 expressions and equations sequence covers two-step equations, the distributive property, like terms with signed coefficients and one-step inequalities; this page sits inside it. What a student is asked to do here is combining like terms with signed coefficients, evaluating expressions with negative values, and one-step equations with integers. Working the page asks a student to read a situation and choose an operation before computing, track direction as well as magnitude, and apply the order of operations to powers. 53 different answers appear across the 60 problems, so a student cannot copy one result down the page.

About the timed drill format

With 60 short problems such as problem 21, "Solve: x - -11 = 8" and a timer box, this page measures recall rather than method — write the time down, and aim to beat it on Set B. Evaluating expressions and one-step equations quickly is the fluency multi-step algebra rests on.

Set A, Set B and Set C

The three sets come from the same generator with three different seeds: same skill, same layout, fresh numbers, and an answer key computed with the problems. Where Set A's problem 31 is "Simplify: 9x + (-9) + 4x + (-7)", Set B's is "Simplify: 1x + (-5) + 7x + (-5)".

How to use this worksheet

Expect twenty minutes or so of real attention for 60 problems. At grade 7, expressions and equations rewards care over speed — a rushed timed drill gets the arithmetic right and the signs or units wrong. Date the timed drill before filing it. Set C from six weeks later is the cheapest evidence you have that the expressions and equations stuck.

Other grade 7 expressions and equations formats

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

  • Drill — Grade 7 Expressions & Equations Drill, 30 problems
  • Missing Number — Grade 7 Expressions & Equations Missing Number, 24 problems
  • Mixed Review — Grade 7 Expressions & Equations Mixed Review, 30 problems
  • Word Problems — 7.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.

Timed Drill sheets in other grade 7 topics

Six PDFs, no sign-up: three versions of this grade 7 expressions and equations timed drill and three answer keys, each 60 problems long.

← All grade 7 expressions and equations worksheetsExpressions & Equations, every gradeGrade 7 mathBuild your own in the generatorCommon Core 7.EE.1

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