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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 332 · 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: m/2 + 8 = 11. What is m?
  2. 2.Solve: 9(m + 1) = 108. What is m?
  3. 3.Solve: 6y + 8 = 98. What is y?
  4. 4.Solve: 9y − 1 = 89. What is y?
  5. 5.Solve: 5y − 8 = 7. What is y?
  6. 6.Solve: 7(t + 4) = 112. What is t?
  7. 7.Solve: n/4 + 7 = 16. What is n?
  8. 8.Joseph thinks of a number, multiplies it by 8 and then adds 27. The result is 75. What is the number?
  9. 9.Solve: 7p − 10 = 25. What is p?
  10. 10.Solve: m/6 + 1 = 11. What is m?
  11. 11.Solve: 9m + 3 = 66. What is m?
  12. 12.Rohan thinks of a number, multiplies it by 8 and then adds 28. The result is 116. What is the number?
  13. 13.Joseph thinks of a number, multiplies it by 2 and then adds 21. The result is 23. What is the number?
  14. 14.Solve: t/6 + 6 = 19. What is t?
  15. 15.Rahul’s mother is twice as old as Rahul. Their ages add up to 45 years. How old is Rahul?
  16. 16.Solve: 6y + 2 = 74. What is y?
  17. 17.Solve: 5n + 28 = 53. What is n?
  18. 18.Solve: 8(t + 4) = 48. What is t?
  19. 19.Solve: 5(n + 1) = 65. What is n?
  20. 20.Solve: 8x + 25 = 57. What is x?
  21. 21.Solve: 6m + 26 = 110. What is m?
  22. 22.Solve: p/2 + 14 = 24. What is p?
  23. 23.Riya thinks of a number, multiplies it by 5 and then adds 21. The result is 86. What is the number?
  24. 24.Solve: 8n − 61 = 51. What is n?
  25. 25.Zoya is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  26. 26.Solve: x/6 + 12 = 19. What is x?
  27. 27.Solve: 9x − 4 = 14. What is x?
  28. 28.Solve: 7(t + 2) = 84. What is t?
  29. 29.Solve: t/4 + 5 = 10. What is t?
  30. 30.Aditya thinks of a number, multiplies it by 6 and then adds 22. The result is 64. What is the number?
  31. 31.Zoya is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  32. 32.Solve: 4m − 4 = 16. What is m?
  33. 33.Solve: x/6 + 14 = 28. What is x?
  34. 34.Solve: 7t − 20 = 71. What is t?
  35. 35.Solve: m/8 + 1 = 9. What is m?
  36. 36.Solve: 8(p + 1) = 128. What is p?
  37. 37.Solve: 8p + 12 = 52. What is p?
  38. 38.Solve: t/7 + 20 = 22. What is t?
  39. 39.Solve: 2m + 30 = 48. What is m?
  40. 40.Solve: 2(x + 1) = 20. What is x?

Answer key

  1. 6
  2. 11
  3. 15
  4. 10
  5. 3
  6. 12
  7. 36
  8. 6
  9. 5
  10. 60
  11. 7
  12. 11
  13. 1
  14. 78
  15. 15
  16. 12
  17. 5
  18. 2
  19. 12
  20. 4
  21. 14
  22. 20
  23. 13
  24. 14
  25. 6
  26. 42
  27. 2
  28. 10
  29. 20
  30. 7
  31. 11
  32. 5
  33. 84
  34. 13
  35. 64
  36. 15
  37. 5
  38. 14
  39. 9
  40. 9

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