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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 667 · 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.Tara thinks of a number, multiplies it by 7 and then adds 8. The result is 92. What is the number?
  2. 2.Solve: 3(n + 2) = 27. What is n?
  3. 3.Solve: m/5 + 3 = 17. What is m?
  4. 4.Solve: 2(x + 5) = 12. What is x?
  5. 5.Solve: 9n + 29 = 119. What is n?
  6. 6.Solve: x/8 + 11 = 22. What is x?
  7. 7.Solve: 2(t + 7) = 38. What is t?
  8. 8.Solve: 6x − 8 = 10. What is x?
  9. 9.Solve: 7t + 2 = 9. What is t?
  10. 10.Solve: 3(m + 6) = 33. What is m?
  11. 11.Joseph is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  12. 12.Solve: 5y + 12 = 57. What is y?
  13. 13.Solve: 3n − 10 = 23. What is n?
  14. 14.Solve: 4x − 17 = 11. What is x?
  15. 15.Solve: y/2 + 3 = 17. What is y?
  16. 16.Solve: 8y + 7 = 111. What is y?
  17. 17.Solve: 2n + 18 = 48. What is n?
  18. 18.Solve: 9t + 15 = 69. What is t?
  19. 19.Solve: 7m + 21 = 63. What is m?
  20. 20.Solve: 4(t + 5) = 52. What is t?
  21. 21.Solve: 8x − 58 = 38. What is x?
  22. 22.Kavya thinks of a number, multiplies it by 5 and then adds 30. The result is 55. What is the number?
  23. 23.Solve: 5n + 10 = 85. What is n?
  24. 24.Solve: 9(t + 4) = 90. What is t?
  25. 25.Solve: 2p + 23 = 43. What is p?
  26. 26.Solve: 4(t + 1) = 44. What is t?
  27. 27.Solve: 9(x + 1) = 90. What is x?
  28. 28.Solve: 2m − 24 = 2. What is m?
  29. 29.Solve: 5x + 26 = 46. What is x?
  30. 30.Solve: 4(y + 5) = 32. What is y?
  31. 31.Zoya thinks of a number, multiplies it by 2 and then adds 18. The result is 28. What is the number?
  32. 32.Ananya thinks of a number, multiplies it by 4 and then adds 6. The result is 46. What is the number?
  33. 33.Solve: 9p + 15 = 51. What is p?
  34. 34.Solve: m/6 + 5 = 13. What is m?
  35. 35.Solve: y/4 + 2 = 5. What is y?
  36. 36.Rahul thinks of a number, multiplies it by 6 and then adds 8. The result is 50. What is the number?
  37. 37.Solve: 7p + 22 = 50. What is p?
  38. 38.Rahul’s mother is four times as old as Rahul. Their ages add up to 50 years. How old is Rahul?
  39. 39.Solve: 5x − 17 = 33. What is x?
  40. 40.Solve: 3t − 6 = 9. What is t?

Answer key

  1. 12
  2. 7
  3. 70
  4. 1
  5. 10
  6. 88
  7. 12
  8. 3
  9. 1
  10. 5
  11. 4
  12. 9
  13. 11
  14. 7
  15. 28
  16. 13
  17. 15
  18. 6
  19. 6
  20. 8
  21. 12
  22. 5
  23. 15
  24. 6
  25. 10
  26. 10
  27. 9
  28. 13
  29. 4
  30. 3
  31. 5
  32. 10
  33. 4
  34. 48
  35. 12
  36. 7
  37. 4
  38. 10
  39. 10
  40. 5

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