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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 45 · 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.Saanvi thinks of a number, multiplies it by 6 and then adds 10. The result is 94. What is the number?
  2. 2.Solve: 6(y + 2) = 54. What is y?
  3. 3.Solve: 4y + 10 = 62. What is y?
  4. 4.Solve: y/4 + 4 = 19. What is y?
  5. 5.Solve: x/8 + 10 = 20. What is x?
  6. 6.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 12 years. How old is Gurpreet?
  7. 7.Solve: 6y + 21 = 39. What is y?
  8. 8.Pooja thinks of a number, multiplies it by 6 and then adds 30. The result is 48. What is the number?
  9. 9.Solve: 7m + 13 = 55. What is m?
  10. 10.Solve: 3m − 15 = 3. What is m?
  11. 11.Solve: 5p + 29 = 89. What is p?
  12. 12.Solve: 4x + 11 = 59. What is x?
  13. 13.Solve: 8(x + 7) = 160. What is x?
  14. 14.Solve: 4x + 21 = 81. What is x?
  15. 15.Solve: 9y − 62 = 10. What is y?
  16. 16.Farhan’s mother is three times as old as Farhan. Their ages add up to 28 years. How old is Farhan?
  17. 17.Joseph thinks of a number, multiplies it by 7 and then adds 28. The result is 63. What is the number?
  18. 18.Solve: 4p − 5 = 7. What is p?
  19. 19.Solve: 8p + 10 = 106. What is p?
  20. 20.Solve: 4t + 25 = 57. What is t?
  21. 21.Solve: m/6 + 8 = 22. What is m?
  22. 22.Solve: t/9 + 10 = 25. What is t?
  23. 23.Solve: n/3 + 14 = 21. What is n?
  24. 24.Solve: 5m − 17 = 3. What is m?
  25. 25.Rahul thinks of a number, multiplies it by 8 and then adds 24. The result is 56. What is the number?
  26. 26.Saanvi thinks of a number, multiplies it by 4 and then adds 29. The result is 89. What is the number?
  27. 27.Solve: m/6 + 20 = 34. What is m?
  28. 28.Solve: n/4 + 7 = 12. What is n?
  29. 29.Solve: t/3 + 12 = 14. What is t?
  30. 30.Solve: 4m + 23 = 67. What is m?
  31. 31.Solve: 4(y + 3) = 16. What is y?
  32. 32.Nisha is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  33. 33.Solve: 4(y + 7) = 36. What is y?
  34. 34.Solve: 3p − 19 = 26. What is p?
  35. 35.Solve: 9y + 5 = 131. What is y?
  36. 36.Solve: p/6 + 10 = 12. What is p?
  37. 37.Solve: 4y + 8 = 52. What is y?
  38. 38.Arjun thinks of a number, multiplies it by 4 and then adds 29. The result is 73. What is the number?
  39. 39.Solve: 2(p + 7) = 24. What is p?
  40. 40.Solve: 9y + 23 = 131. What is y?

Answer key

  1. 14
  2. 7
  3. 13
  4. 60
  5. 80
  6. 4
  7. 3
  8. 3
  9. 6
  10. 6
  11. 12
  12. 12
  13. 13
  14. 15
  15. 8
  16. 7
  17. 5
  18. 3
  19. 12
  20. 8
  21. 84
  22. 135
  23. 21
  24. 4
  25. 4
  26. 15
  27. 84
  28. 20
  29. 6
  30. 11
  31. 1
  32. 4
  33. 2
  34. 15
  35. 14
  36. 12
  37. 11
  38. 11
  39. 5
  40. 12

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