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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 408 · 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: 5(t + 3) = 80. What is t?
  2. 2.Solve: 3t − 8 = 10. What is t?
  3. 3.Aarav’s mother is four times as old as Aarav. Their ages add up to 40 years. How old is Aarav?
  4. 4.Solve: 2(n + 1) = 32. What is n?
  5. 5.Solve: 3t + 1 = 43. What is t?
  6. 6.Meera thinks of a number, multiplies it by 9 and then adds 15. The result is 51. What is the number?
  7. 7.Solve: 2(n + 4) = 18. What is n?
  8. 8.Solve: 3(x + 7) = 63. What is x?
  9. 9.Solve: 3n − 14 = 25. What is n?
  10. 10.Solve: x/6 + 11 = 16. What is x?
  11. 11.Solve: 9p + 30 = 75. What is p?
  12. 12.Solve: 2p + 21 = 41. What is p?
  13. 13.Solve: 2t − 7 = 11. What is t?
  14. 14.Joseph is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  15. 15.Solve: 2(y + 9) = 48. What is y?
  16. 16.Solve: 9x − 64 = 62. What is x?
  17. 17.Solve: 9y − 21 = 87. What is y?
  18. 18.Solve: 2y − 5 = 9. What is y?
  19. 19.Solve: 5m − 36 = 19. What is m?
  20. 20.Solve: 7(m + 6) = 119. What is m?
  21. 21.Solve: 6t + 20 = 56. What is t?
  22. 22.Solve: 5y + 6 = 61. What is y?
  23. 23.Solve: 8(m + 1) = 72. What is m?
  24. 24.Solve: 4m + 29 = 45. What is m?
  25. 25.Solve: 8(x + 5) = 80. What is x?
  26. 26.Sneha thinks of a number, multiplies it by 2 and then adds 21. The result is 45. What is the number?
  27. 27.Solve: 8p + 12 = 84. What is p?
  28. 28.Solve: n/8 + 7 = 9. What is n?
  29. 29.Solve: 2(m + 2) = 34. What is m?
  30. 30.Solve: 7y − 16 = 68. What is y?
  31. 31.Solve: 3y + 4 = 37. What is y?
  32. 32.Nisha thinks of a number, multiplies it by 6 and then adds 2. The result is 38. What is the number?
  33. 33.Solve: 7p − 55 = 50. What is p?
  34. 34.Solve: 4t − 22 = 30. What is t?
  35. 35.Priya is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  36. 36.Sneha thinks of a number, multiplies it by 5 and then adds 19. The result is 74. What is the number?
  37. 37.Solve: 7(x + 3) = 119. What is x?
  38. 38.Riya’s mother is four times as old as Riya. Their ages add up to 40 years. How old is Riya?
  39. 39.Solve: 2m − 6 = 16. What is m?
  40. 40.Solve: 8y − 23 = 17. What is y?

Answer key

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

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