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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 737 · 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: 6x + 19 = 43. What is x?
  2. 2.Solve: x/7 + 1 = 12. What is x?
  3. 3.Solve: y/3 + 6 = 13. What is y?
  4. 4.Solve: 4x + 27 = 35. What is x?
  5. 5.Solve: 2t + 5 = 17. What is t?
  6. 6.Rahul is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  7. 7.Vivaan thinks of a number, multiplies it by 2 and then adds 23. The result is 33. What is the number?
  8. 8.Solve: 3m − 4 = 23. What is m?
  9. 9.Solve: 7(p + 5) = 105. What is p?
  10. 10.Solve: 3(x + 6) = 51. What is x?
  11. 11.Ishaan thinks of a number, multiplies it by 4 and then adds 12. The result is 16. What is the number?
  12. 12.Solve: 9(p + 7) = 135. What is p?
  13. 13.Solve: m/7 + 2 = 5. What is m?
  14. 14.Solve: n/6 + 10 = 13. What is n?
  15. 15.Solve: 8(n + 7) = 144. What is n?
  16. 16.Solve: 7y − 13 = 1. What is y?
  17. 17.Solve: 4y − 5 = 51. What is y?
  18. 18.Kabir thinks of a number, multiplies it by 7 and then adds 11. The result is 67. What is the number?
  19. 19.Solve: 8y + 30 = 54. What is y?
  20. 20.Meera’s mother is three times as old as Meera. Their ages add up to 40 years. How old is Meera?
  21. 21.Karan is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  22. 22.Solve: 6p − 4 = 2. What is p?
  23. 23.Tara’s mother is four times as old as Tara. Their ages add up to 55 years. How old is Tara?
  24. 24.Manav is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  25. 25.Pooja thinks of a number, multiplies it by 8 and then adds 2. The result is 26. What is the number?
  26. 26.Solve: 3m + 24 = 36. What is m?
  27. 27.Kavya thinks of a number, multiplies it by 3 and then adds 14. The result is 47. What is the number?
  28. 28.Solve: 9m + 6 = 105. What is m?
  29. 29.Solve: 3(m + 5) = 27. What is m?
  30. 30.Solve: 8p + 25 = 137. What is p?
  31. 31.Solve: 8x − 37 = 51. What is x?
  32. 32.Solve: 9x − 44 = 28. What is x?
  33. 33.Solve: y/9 + 4 = 19. What is y?
  34. 34.Solve: 9p + 4 = 139. What is p?
  35. 35.Solve: 8t − 1 = 55. What is t?
  36. 36.Tara thinks of a number, multiplies it by 4 and then adds 27. The result is 51. What is the number?
  37. 37.Solve: 6m − 35 = 37. What is m?
  38. 38.Solve: 8x + 30 = 94. What is x?
  39. 39.Solve: 4(p + 3) = 20. What is p?
  40. 40.Solve: 2p − 16 = 10. What is p?

Answer key

  1. 4
  2. 77
  3. 21
  4. 2
  5. 6
  6. 11
  7. 5
  8. 9
  9. 10
  10. 11
  11. 1
  12. 8
  13. 21
  14. 18
  15. 11
  16. 2
  17. 14
  18. 8
  19. 3
  20. 10
  21. 15
  22. 1
  23. 11
  24. 10
  25. 3
  26. 4
  27. 11
  28. 11
  29. 4
  30. 14
  31. 11
  32. 8
  33. 135
  34. 15
  35. 7
  36. 6
  37. 12
  38. 8
  39. 2
  40. 13

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