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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 67 · 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: 2p − 1 = 7. What is p?
  2. 2.Riya is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  3. 3.Solve: 5y − 16 = 9. What is y?
  4. 4.Solve: 5(n + 1) = 55. What is n?
  5. 5.Solve: m/9 + 11 = 13. What is m?
  6. 6.Kabir thinks of a number, multiplies it by 5 and then adds 5. The result is 35. What is the number?
  7. 7.Solve: 8x + 14 = 110. What is x?
  8. 8.Solve: m/7 + 4 = 7. What is m?
  9. 9.Solve: x/6 + 7 = 12. What is x?
  10. 10.Solve: 4x + 28 = 76. What is x?
  11. 11.Solve: 4m + 4 = 32. What is m?
  12. 12.Solve: 4t − 16 = 28. What is t?
  13. 13.Solve: 4t + 30 = 34. What is t?
  14. 14.Solve: y/8 + 12 = 20. What is y?
  15. 15.Solve: 8(m + 1) = 112. What is m?
  16. 16.Solve: 5x + 15 = 70. What is x?
  17. 17.Diya’s mother is four times as old as Diya. Their ages add up to 25 years. How old is Diya?
  18. 18.Solve: 7(n + 9) = 84. What is n?
  19. 19.Solve: 9p − 8 = 28. What is p?
  20. 20.Isha thinks of a number, multiplies it by 7 and then adds 15. The result is 85. What is the number?
  21. 21.Solve: 5t + 8 = 53. What is t?
  22. 22.Solve: 5n − 14 = 1. What is n?
  23. 23.Kavya thinks of a number, multiplies it by 2 and then adds 30. The result is 54. What is the number?
  24. 24.Solve: 4x + 3 = 19. What is x?
  25. 25.Aarav’s mother is four times as old as Aarav. Their ages add up to 45 years. How old is Aarav?
  26. 26.Solve: 2n + 29 = 41. What is n?
  27. 27.Solve: 7(m + 6) = 70. What is m?
  28. 28.Solve: 8(t + 5) = 160. What is t?
  29. 29.Manav thinks of a number, multiplies it by 5 and then adds 29. The result is 84. What is the number?
  30. 30.Solve: 4m − 14 = 46. What is m?
  31. 31.Riya’s mother is three times as old as Riya. Their ages add up to 24 years. How old is Riya?
  32. 32.Solve: 5x − 40 = 35. What is x?
  33. 33.Solve: 7t − 33 = 51. What is t?
  34. 34.Solve: 5x + 22 = 32. What is x?
  35. 35.Solve: 7p − 18 = 10. What is p?
  36. 36.Solve: 7(x + 4) = 42. What is x?
  37. 37.Pooja thinks of a number, multiplies it by 7 and then adds 8. The result is 57. What is the number?
  38. 38.Solve: 5(p + 9) = 115. What is p?
  39. 39.Solve: 7(t + 2) = 63. What is t?
  40. 40.Priya thinks of a number, multiplies it by 9 and then adds 26. The result is 44. What is the number?

Answer key

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

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