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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 207 · 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: 7t + 17 = 94. What is t?
  2. 2.Solve: 8p − 36 = 4. What is p?
  3. 3.Solve: 5(n + 7) = 65. What is n?
  4. 4.Solve: 9(p + 5) = 108. What is p?
  5. 5.Solve: 2t − 12 = 14. What is t?
  6. 6.Solve: t/2 + 5 = 20. What is t?
  7. 7.Solve: 8m − 5 = 3. What is m?
  8. 8.Solve: 4(t + 6) = 76. What is t?
  9. 9.Dev’s mother is twice as old as Dev. Their ages add up to 12 years. How old is Dev?
  10. 10.Solve: 8y − 94 = 26. What is y?
  11. 11.Solve: 3x + 5 = 47. What is x?
  12. 12.Solve: 6p − 9 = 33. What is p?
  13. 13.Solve: 5p + 14 = 74. What is p?
  14. 14.Solve: 4x − 45 = 11. What is x?
  15. 15.Riya thinks of a number, multiplies it by 6 and then adds 26. The result is 68. What is the number?
  16. 16.Solve: p/8 + 20 = 30. What is p?
  17. 17.Solve: 9p − 8 = 28. What is p?
  18. 18.Diya is 4 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  19. 19.Solve: 2(n + 7) = 42. What is n?
  20. 20.Solve: 8(n + 5) = 136. What is n?
  21. 21.Solve: 4m + 11 = 55. What is m?
  22. 22.Solve: y/8 + 8 = 19. What is y?
  23. 23.Sneha thinks of a number, multiplies it by 2 and then adds 4. The result is 34. What is the number?
  24. 24.Solve: 2(n + 3) = 12. What is n?
  25. 25.Solve: 2(x + 7) = 38. What is x?
  26. 26.Solve: 7n − 6 = 15. What is n?
  27. 27.Solve: 6(x + 2) = 36. What is x?
  28. 28.Solve: 5y − 3 = 52. What is y?
  29. 29.Aarav thinks of a number, multiplies it by 3 and then adds 9. The result is 36. What is the number?
  30. 30.Aarav is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  31. 31.Solve: x/2 + 1 = 4. What is x?
  32. 32.Riya is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  33. 33.Solve: 2t − 8 = 2. What is t?
  34. 34.Solve: 2(t + 3) = 8. What is t?
  35. 35.Solve: 5t − 25 = 15. What is t?
  36. 36.Solve: 8m − 21 = 27. What is m?
  37. 37.Solve: 9m − 5 = 4. What is m?
  38. 38.Solve: 3n − 2 = 7. What is n?
  39. 39.Meera’s mother is four times as old as Meera. Their ages add up to 35 years. How old is Meera?
  40. 40.Solve: 5m − 22 = 8. What is m?

Answer key

  1. 11
  2. 5
  3. 6
  4. 7
  5. 13
  6. 30
  7. 1
  8. 13
  9. 4
  10. 15
  11. 14
  12. 7
  13. 12
  14. 14
  15. 7
  16. 80
  17. 4
  18. 12
  19. 14
  20. 12
  21. 11
  22. 88
  23. 15
  24. 3
  25. 12
  26. 3
  27. 4
  28. 11
  29. 9
  30. 8
  31. 6
  32. 4
  33. 5
  34. 1
  35. 8
  36. 6
  37. 1
  38. 3
  39. 7
  40. 6

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