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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 952 · 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/3 + 18 = 25. What is m?
  2. 2.Solve: 9(t + 3) = 63. What is t?
  3. 3.Solve: 3(m + 3) = 30. What is m?
  4. 4.Solve: 6t − 60 = 12. What is t?
  5. 5.Solve: 8(y + 2) = 136. What is y?
  6. 6.Rohan thinks of a number, multiplies it by 8 and then adds 9. The result is 25. What is the number?
  7. 7.Solve: 9(p + 4) = 153. What is p?
  8. 8.Aarav is 3 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  9. 9.Solve: p/6 + 15 = 23. What is p?
  10. 10.Solve: 7y − 73 = 18. What is y?
  11. 11.Solve: m/5 + 6 = 11. What is m?
  12. 12.Solve: 8(m + 5) = 64. What is m?
  13. 13.Nisha’s mother is twice as old as Nisha. Their ages add up to 24 years. How old is Nisha?
  14. 14.Ananya thinks of a number, multiplies it by 2 and then adds 26. The result is 48. What is the number?
  15. 15.Aarav thinks of a number, multiplies it by 2 and then adds 19. The result is 41. What is the number?
  16. 16.Solve: 9n + 3 = 120. What is n?
  17. 17.Solve: 9p − 13 = 77. What is p?
  18. 18.Solve: y/7 + 13 = 15. What is y?
  19. 19.Solve: 2(m + 4) = 20. What is m?
  20. 20.Solve: 6x + 15 = 45. What is x?
  21. 21.Solve: 8(t + 2) = 48. What is t?
  22. 22.Solve: 3p + 23 = 59. What is p?
  23. 23.Solve: 9(m + 5) = 72. What is m?
  24. 24.Solve: 4(t + 7) = 88. What is t?
  25. 25.Solve: 4(p + 1) = 8. What is p?
  26. 26.Tara thinks of a number, multiplies it by 4 and then adds 8. The result is 44. What is the number?
  27. 27.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 65 years. How old is Ishaan?
  28. 28.Ananya’s mother is three times as old as Ananya. Their ages add up to 16 years. How old is Ananya?
  29. 29.Meera thinks of a number, multiplies it by 9 and then adds 18. The result is 63. What is the number?
  30. 30.Solve: 9(p + 6) = 162. What is p?
  31. 31.Solve: 7t − 10 = 67. What is t?
  32. 32.Solve: 2(x + 4) = 38. What is x?
  33. 33.Vivaan thinks of a number, multiplies it by 3 and then adds 22. The result is 52. What is the number?
  34. 34.Solve: 9m − 10 = 35. What is m?
  35. 35.Aditya’s mother is three times as old as Aditya. Their ages add up to 16 years. How old is Aditya?
  36. 36.Solve: 6(y + 2) = 54. What is y?
  37. 37.Solve: 2y + 1 = 7. What is y?
  38. 38.Solve: p/5 + 1 = 14. What is p?
  39. 39.Solve: 5(n + 4) = 85. What is n?
  40. 40.Solve: 6(n + 3) = 78. What is n?

Answer key

  1. 21
  2. 4
  3. 7
  4. 12
  5. 15
  6. 2
  7. 13
  8. 9
  9. 48
  10. 13
  11. 25
  12. 3
  13. 8
  14. 11
  15. 11
  16. 13
  17. 10
  18. 14
  19. 6
  20. 5
  21. 4
  22. 12
  23. 3
  24. 15
  25. 1
  26. 9
  27. 13
  28. 4
  29. 5
  30. 12
  31. 11
  32. 15
  33. 10
  34. 5
  35. 4
  36. 7
  37. 3
  38. 65
  39. 13
  40. 10

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