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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 270 · 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: 8x − 10 = 70. What is x?
  2. 2.Kavya is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  3. 3.Solve: 9t − 1 = 8. What is t?
  4. 4.Solve: 9y − 30 = 96. What is y?
  5. 5.Solve: 7x + 28 = 84. What is x?
  6. 6.Farhan is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  7. 7.Solve: 6y − 50 = 4. What is y?
  8. 8.Aarav thinks of a number, multiplies it by 8 and then adds 6. The result is 30. What is the number?
  9. 9.Solve: 3y − 2 = 19. What is y?
  10. 10.Solve: 4(t + 2) = 56. What is t?
  11. 11.Tara’s mother is four times as old as Tara. Their ages add up to 45 years. How old is Tara?
  12. 12.Solve: 9y − 13 = 68. What is y?
  13. 13.Ishaan thinks of a number, multiplies it by 2 and then adds 6. The result is 32. What is the number?
  14. 14.Solve: 2m − 1 = 1. What is m?
  15. 15.Solve: n/2 + 10 = 21. What is n?
  16. 16.Solve: 2m + 2 = 30. What is m?
  17. 17.Lakshmi thinks of a number, multiplies it by 9 and then adds 5. The result is 113. What is the number?
  18. 18.Solve: 3x − 5 = 13. What is x?
  19. 19.Solve: x/9 + 17 = 18. What is x?
  20. 20.Solve: 3x + 6 = 27. What is x?
  21. 21.Solve: 3y − 6 = 21. What is y?
  22. 22.Nisha thinks of a number, multiplies it by 6 and then adds 20. The result is 68. What is the number?
  23. 23.Solve: 4(p + 8) = 84. What is p?
  24. 24.Solve: m/2 + 17 = 23. What is m?
  25. 25.Solve: m/3 + 5 = 19. What is m?
  26. 26.Solve: 5y + 29 = 59. What is y?
  27. 27.Rahul thinks of a number, multiplies it by 2 and then adds 12. The result is 18. What is the number?
  28. 28.Riya is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  29. 29.Solve: 8(t + 9) = 80. What is t?
  30. 30.Manav thinks of a number, multiplies it by 5 and then adds 1. The result is 76. What is the number?
  31. 31.Solve: 7y − 31 = 11. What is y?
  32. 32.Solve: x/7 + 1 = 3. What is x?
  33. 33.Solve: 9n − 10 = 89. What is n?
  34. 34.Solve: 6m + 23 = 113. What is m?
  35. 35.Solve: 9p + 28 = 118. What is p?
  36. 36.Solve: 5(t + 3) = 35. What is t?
  37. 37.Solve: 8t + 3 = 75. What is t?
  38. 38.Solve: 4t + 1 = 17. What is t?
  39. 39.Solve: 8x + 20 = 52. What is x?
  40. 40.Joseph thinks of a number, multiplies it by 7 and then adds 16. The result is 44. What is the number?

Answer key

  1. 10
  2. 15
  3. 1
  4. 14
  5. 8
  6. 13
  7. 9
  8. 3
  9. 7
  10. 12
  11. 9
  12. 9
  13. 13
  14. 1
  15. 22
  16. 14
  17. 12
  18. 6
  19. 9
  20. 7
  21. 9
  22. 8
  23. 13
  24. 12
  25. 42
  26. 6
  27. 3
  28. 8
  29. 1
  30. 15
  31. 6
  32. 14
  33. 11
  34. 15
  35. 10
  36. 4
  37. 9
  38. 4
  39. 4
  40. 4

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