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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 684 · 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.Kavya thinks of a number, multiplies it by 8 and then adds 23. The result is 39. What is the number?
  2. 2.Solve: 3y − 4 = 41. What is y?
  3. 3.Solve: n/4 + 5 = 20. What is n?
  4. 4.Solve: 3m − 1 = 2. What is m?
  5. 5.Solve: 7y − 31 = 18. What is y?
  6. 6.Solve: 5t − 30 = 45. What is t?
  7. 7.Solve: 4(x + 8) = 92. What is x?
  8. 8.Solve: 7(x + 8) = 112. What is x?
  9. 9.Solve: 4t − 29 = 11. What is t?
  10. 10.Solve: 8t − 30 = 82. What is t?
  11. 11.Solve: 2x + 1 = 3. What is x?
  12. 12.Solve: 6x + 17 = 59. What is x?
  13. 13.Solve: t/8 + 20 = 27. What is t?
  14. 14.Solve: 5y − 17 = 33. What is y?
  15. 15.Solve: 3y + 11 = 53. What is y?
  16. 16.Solve: 9m + 23 = 104. What is m?
  17. 17.Zoya thinks of a number, multiplies it by 4 and then adds 20. The result is 36. What is the number?
  18. 18.Solve: 6x − 12 = 48. What is x?
  19. 19.Kavya thinks of a number, multiplies it by 4 and then adds 4. The result is 64. What is the number?
  20. 20.Pooja’s mother is three times as old as Pooja. Their ages add up to 16 years. How old is Pooja?
  21. 21.Solve: 9(m + 9) = 189. What is m?
  22. 22.Zoya’s mother is twice as old as Zoya. Their ages add up to 33 years. How old is Zoya?
  23. 23.Solve: 2x + 30 = 56. What is x?
  24. 24.Solve: 4n − 7 = 5. What is n?
  25. 25.Solve: 4x − 26 = 34. What is x?
  26. 26.Solve: t/6 + 2 = 8. What is t?
  27. 27.Diya is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  28. 28.Saanvi thinks of a number, multiplies it by 2 and then adds 29. The result is 37. What is the number?
  29. 29.Solve: x/9 + 9 = 17. What is x?
  30. 30.Solve: 6n − 59 = 25. What is n?
  31. 31.Solve: 9(t + 3) = 45. What is t?
  32. 32.Solve: 6x + 3 = 39. What is x?
  33. 33.Solve: 4y − 16 = 12. What is y?
  34. 34.Solve: 5(n + 4) = 80. What is n?
  35. 35.Solve: 3y − 8 = 13. What is y?
  36. 36.Solve: 7m − 18 = 24. What is m?
  37. 37.Diya is 8 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  38. 38.Gurpreet is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  39. 39.Isha thinks of a number, multiplies it by 5 and then adds 19. The result is 29. What is the number?
  40. 40.Solve: 9y − 43 = 29. What is y?

Answer key

  1. 2
  2. 15
  3. 60
  4. 1
  5. 7
  6. 15
  7. 15
  8. 8
  9. 10
  10. 14
  11. 1
  12. 7
  13. 56
  14. 10
  15. 14
  16. 9
  17. 4
  18. 10
  19. 15
  20. 4
  21. 12
  22. 11
  23. 13
  24. 3
  25. 15
  26. 36
  27. 4
  28. 4
  29. 72
  30. 14
  31. 2
  32. 6
  33. 7
  34. 12
  35. 7
  36. 6
  37. 12
  38. 13
  39. 2
  40. 8

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