Two Step Equations Worksheet Maker for Grades 7 and 8

Print a fresh sheet of equations like 7x + 3 = 45, with both undoing steps on the key.

20 problems. Multiply, then add: 7x + 3 = 45. Sheet DP1GLH, with its answer key.

Multiply, then add: 7x + 3 = 45

Name Date Score / 20

Solve each equation.

  1. 1.4x + 28 = 68  x = _____
  2. 2.146 = 14 + 12y  y = _____
  3. 3.11n + 2 = 68  n = _____
  4. 4.65 = 3x + 35  x = _____
  5. 5.23 + 3y = 47  y = _____
  6. 6.4n + 7 = 27  n = _____
  7. 7.15 + 8x = 31  x = _____
  8. 8.119 = 20 + 9y  y = _____
  9. 9.81 = 11n + 37  n = _____
  10. 10.2 + 9x = 20  x = _____
  11. 11.20 + 12y = 104  y = _____
  12. 12.77 = 6n + 5  n = _____
  13. 13.4x + 13 = 49  x = _____
  14. 14.10y + 33 = 133  y = _____
  15. 15.10n + 14 = 94  n = _____
  16. 16.116 = 9x + 26  x = _____
  17. 17.10 + 11y = 109  y = _____
  18. 18.14 + 9n = 41  n = _____
  19. 19.22 + 10x = 42  x = _____
  20. 20.4 + 2y = 18  y = _____

Sheet DP1GLH · Made at homeroomtools.com

Answer key. Multiply, then add: 7x + 3 = 45

  1. 1.4x + 28 = 68  x = 10 68 − 28 = 40 40 ÷ 4 = 10 Check: 4 × 10 + 28 = 68
  2. 2.146 = 14 + 12y  y = 11 146 − 14 = 132 132 ÷ 12 = 11 Check: 14 + 12 × 11 = 146
  3. 3.11n + 2 = 68  n = 6 68 − 2 = 66 66 ÷ 11 = 6 Check: 11 × 6 + 2 = 68
  4. 4.65 = 3x + 35  x = 10 65 − 35 = 30 30 ÷ 3 = 10 Check: 3 × 10 + 35 = 65
  5. 5.23 + 3y = 47  y = 8 47 − 23 = 24 24 ÷ 3 = 8 Check: 23 + 3 × 8 = 47
  6. 6.4n + 7 = 27  n = 5 27 − 7 = 20 20 ÷ 4 = 5 Check: 4 × 5 + 7 = 27
  7. 7.15 + 8x = 31  x = 2 31 − 15 = 16 16 ÷ 8 = 2 Check: 15 + 8 × 2 = 31
  8. 8.119 = 20 + 9y  y = 11 119 − 20 = 99 99 ÷ 9 = 11 Check: 20 + 9 × 11 = 119
  9. 9.81 = 11n + 37  n = 4 81 − 37 = 44 44 ÷ 11 = 4 Check: 11 × 4 + 37 = 81
  10. 10.2 + 9x = 20  x = 2 20 − 2 = 18 18 ÷ 9 = 2 Check: 2 + 9 × 2 = 20
  11. 11.20 + 12y = 104  y = 7 104 − 20 = 84 84 ÷ 12 = 7 Check: 20 + 12 × 7 = 104
  12. 12.77 = 6n + 5  n = 12 77 − 5 = 72 72 ÷ 6 = 12 Check: 6 × 12 + 5 = 77
  13. 13.4x + 13 = 49  x = 9 49 − 13 = 36 36 ÷ 4 = 9 Check: 4 × 9 + 13 = 49
  14. 14.10y + 33 = 133  y = 10 133 − 33 = 100 100 ÷ 10 = 10 Check: 10 × 10 + 33 = 133
  15. 15.10n + 14 = 94  n = 8 94 − 14 = 80 80 ÷ 10 = 8 Check: 10 × 8 + 14 = 94
  16. 16.116 = 9x + 26  x = 10 116 − 26 = 90 90 ÷ 9 = 10 Check: 9 × 10 + 26 = 116
  17. 17.10 + 11y = 109  y = 9 109 − 10 = 99 99 ÷ 11 = 9 Check: 10 + 11 × 9 = 109
  18. 18.14 + 9n = 41  n = 3 41 − 14 = 27 27 ÷ 9 = 3 Check: 14 + 9 × 3 = 41
  19. 19.22 + 10x = 42  x = 2 42 − 22 = 20 20 ÷ 10 = 2 Check: 22 + 10 × 2 = 42
  20. 20.4 + 2y = 18  y = 7 18 − 4 = 14 14 ÷ 2 = 7 Check: 4 + 2 × 7 = 18

Sheet DP1GLH · Made at homeroomtools.com

Next step Stuck on one step? Print those firstAll equation worksheets

How it works

Every equation here takes two moves. The first sheet has 20 like 7x + 3 = 45 and 36 = 16 + 2y; Sheet type adds x/2 + 11 = 23, 7(x + 2) = 98, negatives, fractions and decimals.

Read the full guide

Undo in the reverse order

7x + 3 means times 7, then add 3. Solving undoes the last thing first: take 3 from 45 to get 42, then divide by 7, so x = 6. A bracket turns the order round: in 7(x + 2) = 98 the 7 goes first, 98 ÷ 7 = 14, then 14 − 2 = 12.

Solving one and two step equations worksheet

Choose One-step and two-step mixed: x + 5 = 11 and 4x = 20 sit among 7x + 3 = 45, so pupils must decide how many moves each needs. For 2 step algebra equations worksheets with negatives, print Negative coefficients: −7x − 13 = 29.

  • Common Core 7.EE.B.4a asks for px + q = r and p(x + q) = r fluently: the first and fourth sheet types.
  • Collect the checks: 7 × 6 + 3 = 45 catches a pupil who divided before subtracting.

Questions and answers

What goes wrong most on two-step equations?

Dividing first. From 7x + 3 = 45, a pupil who divides by 7 has to split the 3 as well and usually doesn't. Subtracting first keeps every number whole: 45 − 3 = 42, 42 ÷ 7 = 6.

Are the answers always whole numbers?

Yes, on every sheet type of this page. The fraction and decimal sheets put the fraction or decimal in the equation, as in 3/4x − 2 = 7, and the answer still comes out whole: x = 12.

How do I get a two step equations worksheet as a PDF?

Press Print, then choose Save as PDF as the printer. The key comes out on its own page after the sheet; untick Answer key first to leave it out.

All 12 sheet types

One form at a time 4

  • Brackets: 7(x + 2) = 98 7(x + 2) = 98: divide by 7 first (14), then take 2 away: x = 12. Half the brackets subtract, as in 12(x − 6) = 156.
  • Divide, then add or subtract: x/2 + 11 = 23 x/2 + 11 = 23: take 11 away (12), then multiply by 2: x = 24. Half the sheet subtracts, as in x/7 − 2 = 4.
  • Multiply, then add: 7x + 3 = 45 7x + 3 = 45: take 3 away (42), then divide by 7: x = 6. Some sheets write 40 + 7y = 124 or 36 = 16 + 2y.
  • Multiply, then subtract: 8x − 1 = 55 8x − 1 = 55: add 1 (56), then divide by 8: x = 7.

Mixed forms 2

  • Every two-step form mixed 8(y + 9) = 232, 6n − 10 = 8, y/8 + 6 = 10 and 2n + 9 = 33 on one sheet, whole numbers only.
  • One-step and two-step mixed x + 5 = 11 and 4x = 20 among 7x + 3 = 45 and 10x − 9 = 31, so each problem needs a look before the first move.
Show all 12 sheet types (6 more)

Negatives, fractions and decimals 4

  • Decimal coefficients: 1.5x + 2.4 = 9.9 1.5x + 2.4 = 9.9: take 2.4 away (7.5), then divide by 1.5: x = 5. Tenths only; every answer is whole.
  • Fraction coefficients: 3/4x − 2 = 7 3/4x − 2 = 7: add 2 (9), then divide by 3/4: x = 12. Halves, thirds, quarters and fifths; every answer is whole.
  • Negative coefficients: −7x − 13 = 29 −7x − 13 = 29: add 13 (42), then divide by −7: x = −6. Answers from −12 to 12.
  • Negatives, fractions and decimals together x/3 + 6 = 4, 3/4n − 11 = −5 and 35.6 = 1.2 − 8.6x on one sheet: the review before a 7th grade test.

Work space and checking 2

  • Show your steps: two work lines Two blank lines under each equation, such as 7y + 6 = 69. The key fills them: 69 − 6 = 63, then 63 ÷ 7 = 9.
  • Solve, then check by substituting A work line and a Check line under each two-step equation; for 5x + 4 = 29 the key writes 5 × 5 + 4 = 29.

How this list was compiled: Our own list of sheet types, written on 2026-09-24. Every equation is made backwards from its answer in exact fractions, and a second program reads each printed equation again and solves it, 10,000 problems per sheet type. Common Core 7.EE.B.4a (solve equations of the form px + q = r and p(x + q) = r, where p, q and r are specific rational numbers, fluently), read on 2026-09-24 at https://tasks.illustrativemathematics.org/content-standards/7/EE/B/4 . The standard is a checklist for teachers; its authors have not reviewed these sheets. Licence: own work

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