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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 606 · 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.Vivaan thinks of a number, multiplies it by 5 and then adds 27. The result is 42. What is the number?
  2. 2.Ananya’s mother is twice as old as Ananya. Their ages add up to 42 years. How old is Ananya?
  3. 3.Solve: y/5 + 12 = 16. What is y?
  4. 4.Solve: 3t + 29 = 47. What is t?
  5. 5.Solve: 9y − 62 = 1. What is y?
  6. 6.Solve: 2n − 1 = 1. What is n?
  7. 7.Solve: 8x − 8 = 72. What is x?
  8. 8.Diya thinks of a number, multiplies it by 3 and then adds 23. The result is 35. What is the number?
  9. 9.Isha thinks of a number, multiplies it by 4 and then adds 5. The result is 41. What is the number?
  10. 10.Solve: 6m + 3 = 27. What is m?
  11. 11.Rahul’s mother is twice as old as Rahul. Their ages add up to 42 years. How old is Rahul?
  12. 12.Solve: 7(x + 7) = 140. What is x?
  13. 13.Solve: 9(p + 4) = 72. What is p?
  14. 14.Solve: 4y − 49 = 7. What is y?
  15. 15.Solve: 4p + 11 = 71. What is p?
  16. 16.Solve: x/2 + 13 = 21. What is x?
  17. 17.Priya is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  18. 18.Solve: 4(m + 1) = 24. What is m?
  19. 19.Joseph’s mother is three times as old as Joseph. Their ages add up to 20 years. How old is Joseph?
  20. 20.Riya’s mother is three times as old as Riya. Their ages add up to 32 years. How old is Riya?
  21. 21.Solve: 8(y + 5) = 104. What is y?
  22. 22.Solve: n/7 + 13 = 16. What is n?
  23. 23.Karan is 7 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  24. 24.Solve: x/5 + 10 = 13. What is x?
  25. 25.Solve: 9m + 17 = 53. What is m?
  26. 26.Solve: 4y + 12 = 60. What is y?
  27. 27.Rahul thinks of a number, multiplies it by 5 and then adds 16. The result is 56. What is the number?
  28. 28.Solve: 4t + 17 = 73. What is t?
  29. 29.Ananya’s mother is three times as old as Ananya. Their ages add up to 40 years. How old is Ananya?
  30. 30.Solve: 6x + 29 = 77. What is x?
  31. 31.Sneha is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  32. 32.Vivaan thinks of a number, multiplies it by 5 and then adds 4. The result is 49. What is the number?
  33. 33.Tara thinks of a number, multiplies it by 6 and then adds 24. The result is 30. What is the number?
  34. 34.Solve: 8y + 24 = 136. What is y?
  35. 35.Solve: p/7 + 4 = 19. What is p?
  36. 36.Solve: 5(p + 8) = 50. What is p?
  37. 37.Solve: 5p + 3 = 43. What is p?
  38. 38.Solve: y/3 + 17 = 26. What is y?
  39. 39.Solve: 7y − 4 = 59. What is y?
  40. 40.Solve: 4n + 29 = 85. What is n?

Answer key

  1. 3
  2. 14
  3. 20
  4. 6
  5. 7
  6. 1
  7. 10
  8. 4
  9. 9
  10. 4
  11. 14
  12. 13
  13. 4
  14. 14
  15. 15
  16. 16
  17. 4
  18. 5
  19. 5
  20. 8
  21. 8
  22. 21
  23. 13
  24. 15
  25. 4
  26. 12
  27. 8
  28. 14
  29. 10
  30. 8
  31. 11
  32. 9
  33. 1
  34. 14
  35. 105
  36. 2
  37. 8
  38. 27
  39. 9
  40. 14

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