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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 334 · 40 sums
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The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.

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  1. 1.Solve: 7x − 16 = 19. What is x?
  2. 2.Solve: 9n + 14 = 68. What is n?
  3. 3.Joseph is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  4. 4.Solve: 8m + 4 = 28. What is m?
  5. 5.Solve: x/3 + 7 = 20. What is x?
  6. 6.Solve: n/2 + 19 = 23. What is n?
  7. 7.Solve: 7n + 18 = 74. What is n?
  8. 8.Solve: 5n + 3 = 23. What is n?
  9. 9.Solve: 7t + 17 = 73. What is t?
  10. 10.Farhan thinks of a number, multiplies it by 8 and then adds 3. The result is 35. What is the number?
  11. 11.Solve: 8(x + 9) = 112. What is x?
  12. 12.Solve: 8y − 15 = 73. What is y?
  13. 13.Isha’s mother is three times as old as Isha. Their ages add up to 44 years. How old is Isha?
  14. 14.Solve: p/9 + 8 = 17. What is p?
  15. 15.Solve: 2m − 6 = 12. What is m?
  16. 16.Solve: 3x + 6 = 12. What is x?
  17. 17.Solve: 3m − 37 = 2. What is m?
  18. 18.Solve: 3(p + 9) = 42. What is p?
  19. 19.Solve: 2n − 7 = 5. What is n?
  20. 20.Manav thinks of a number, multiplies it by 8 and then adds 9. The result is 113. What is the number?
  21. 21.Vivaan thinks of a number, multiplies it by 8 and then adds 10. The result is 18. What is the number?
  22. 22.Solve: 8x − 14 = 10. What is x?
  23. 23.Solve: p/5 + 20 = 23. What is p?
  24. 24.Solve: 4x + 29 = 73. What is x?
  25. 25.Solve: 8n + 28 = 84. What is n?
  26. 26.Solve: p/2 + 17 = 28. What is p?
  27. 27.Solve: 2x + 16 = 28. What is x?
  28. 28.Solve: n/2 + 10 = 16. What is n?
  29. 29.Solve: 2(y + 8) = 42. What is y?
  30. 30.Solve: 5(y + 2) = 15. What is y?
  31. 31.Solve: 8p + 22 = 134. What is p?
  32. 32.Saanvi thinks of a number, multiplies it by 2 and then adds 25. The result is 45. What is the number?
  33. 33.Riya is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  34. 34.Solve: p/9 + 12 = 27. What is p?
  35. 35.Solve: 6(y + 8) = 84. What is y?
  36. 36.Solve: p/7 + 6 = 9. What is p?
  37. 37.Solve: 2n + 13 = 19. What is n?
  38. 38.Solve: 2p − 13 = 9. What is p?
  39. 39.Solve: 6y − 7 = 53. What is y?
  40. 40.Solve: 2(x + 3) = 14. What is x?

Answer key

  1. 5
  2. 6
  3. 6
  4. 3
  5. 39
  6. 8
  7. 8
  8. 4
  9. 8
  10. 4
  11. 5
  12. 11
  13. 11
  14. 81
  15. 9
  16. 2
  17. 13
  18. 5
  19. 6
  20. 13
  21. 1
  22. 3
  23. 15
  24. 11
  25. 7
  26. 22
  27. 6
  28. 12
  29. 13
  30. 1
  31. 14
  32. 10
  33. 8
  34. 135
  35. 6
  36. 21
  37. 3
  38. 11
  39. 10
  40. 4

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