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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 597 · 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.Aditya thinks of a number, multiplies it by 5 and then adds 11. The result is 36. What is the number?
  2. 2.Solve: 6(t + 3) = 108. What is t?
  3. 3.Vivaan thinks of a number, multiplies it by 7 and then adds 8. The result is 106. What is the number?
  4. 4.Solve: 4x + 26 = 30. What is x?
  5. 5.Priya is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  6. 6.Solve: p/2 + 20 = 35. What is p?
  7. 7.Solve: 6n − 17 = 31. What is n?
  8. 8.Kavya thinks of a number, multiplies it by 8 and then adds 25. The result is 57. What is the number?
  9. 9.Solve: 2x + 30 = 44. What is x?
  10. 10.Solve: 8m − 2 = 14. What is m?
  11. 11.Solve: 3t − 16 = 2. What is t?
  12. 12.Solve: 9(n + 3) = 153. What is n?
  13. 13.Solve: 4(n + 5) = 80. What is n?
  14. 14.Solve: 2(m + 5) = 32. What is m?
  15. 15.Solve: 7(y + 6) = 63. What is y?
  16. 16.Solve: 4y − 40 = 8. What is y?
  17. 17.Solve: 7y − 11 = 3. What is y?
  18. 18.Solve: 6(y + 8) = 78. What is y?
  19. 19.Solve: y/5 + 18 = 32. What is y?
  20. 20.Solve: 5(m + 3) = 50. What is m?
  21. 21.Solve: 2m + 22 = 48. What is m?
  22. 22.Solve: 3(m + 1) = 45. What is m?
  23. 23.Solve: 9(y + 5) = 54. What is y?
  24. 24.Solve: 6x − 21 = 21. What is x?
  25. 25.Solve: 2(x + 2) = 32. What is x?
  26. 26.Farhan’s mother is twice as old as Farhan. Their ages add up to 30 years. How old is Farhan?
  27. 27.Nisha’s mother is four times as old as Nisha. Their ages add up to 60 years. How old is Nisha?
  28. 28.Solve: 3m + 20 = 47. What is m?
  29. 29.Solve: 2x − 3 = 11. What is x?
  30. 30.Solve: 2t − 2 = 12. What is t?
  31. 31.Solve: x/7 + 9 = 21. What is x?
  32. 32.Manav is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  33. 33.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 12 years. How old is Gurpreet?
  34. 34.Solve: 2n + 10 = 18. What is n?
  35. 35.Rohan thinks of a number, multiplies it by 8 and then adds 27. The result is 67. What is the number?
  36. 36.Solve: 9p − 16 = 101. What is p?
  37. 37.Solve: y/9 + 9 = 19. What is y?
  38. 38.Kabir thinks of a number, multiplies it by 9 and then adds 6. The result is 33. What is the number?
  39. 39.Isha’s mother is twice as old as Isha. Their ages add up to 33 years. How old is Isha?
  40. 40.Solve: y/3 + 14 = 17. What is y?

Answer key

  1. 5
  2. 15
  3. 14
  4. 1
  5. 8
  6. 30
  7. 8
  8. 4
  9. 7
  10. 2
  11. 6
  12. 14
  13. 15
  14. 11
  15. 3
  16. 12
  17. 2
  18. 5
  19. 70
  20. 7
  21. 13
  22. 14
  23. 1
  24. 7
  25. 14
  26. 10
  27. 12
  28. 9
  29. 7
  30. 7
  31. 84
  32. 10
  33. 4
  34. 4
  35. 5
  36. 13
  37. 90
  38. 3
  39. 11
  40. 9

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