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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 78 · 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: 3p − 18 = 15. What is p?
  2. 2.Solve: 9(t + 5) = 126. What is t?
  3. 3.Kabir is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  4. 4.Aarav thinks of a number, multiplies it by 4 and then adds 3. The result is 51. What is the number?
  5. 5.Farhan thinks of a number, multiplies it by 4 and then adds 8. The result is 48. What is the number?
  6. 6.Solve: 7n + 15 = 50. What is n?
  7. 7.Solve: 6p − 43 = 29. What is p?
  8. 8.Solve: 4(t + 8) = 92. What is t?
  9. 9.Solve: 9y − 61 = 56. What is y?
  10. 10.Zoya is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  11. 11.Solve: 5y − 26 = 24. What is y?
  12. 12.Solve: 3y − 21 = 9. What is y?
  13. 13.Solve: 4y + 13 = 73. What is y?
  14. 14.Tara thinks of a number, multiplies it by 4 and then adds 4. The result is 36. What is the number?
  15. 15.Pooja’s mother is four times as old as Pooja. Their ages add up to 60 years. How old is Pooja?
  16. 16.Solve: 6t + 11 = 23. What is t?
  17. 17.Manav thinks of a number, multiplies it by 2 and then adds 9. The result is 35. What is the number?
  18. 18.Solve: 3(t + 3) = 45. What is t?
  19. 19.Solve: 9t − 4 = 14. What is t?
  20. 20.Solve: 5m − 2 = 18. What is m?
  21. 21.Solve: 8(x + 1) = 80. What is x?
  22. 22.Solve: x/6 + 15 = 20. What is x?
  23. 23.Solve: 2(t + 2) = 32. What is t?
  24. 24.Solve: 4(x + 8) = 48. What is x?
  25. 25.Solve: 7x − 21 = 7. What is x?
  26. 26.Tara thinks of a number, multiplies it by 2 and then adds 27. The result is 39. What is the number?
  27. 27.Solve: 7(m + 7) = 119. What is m?
  28. 28.Solve: 6m − 12 = 12. What is m?
  29. 29.Solve: 5t + 20 = 60. What is t?
  30. 30.Solve: x/5 + 1 = 10. What is x?
  31. 31.Solve: 3y + 10 = 46. What is y?
  32. 32.Diya is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  33. 33.Solve: 5y − 45 = 30. What is y?
  34. 34.Solve: 6p + 5 = 77. What is p?
  35. 35.Solve: n/7 + 18 = 22. What is n?
  36. 36.Solve: m/7 + 12 = 20. What is m?
  37. 37.Ananya thinks of a number, multiplies it by 6 and then adds 6. The result is 30. What is the number?
  38. 38.Riya’s mother is three times as old as Riya. Their ages add up to 20 years. How old is Riya?
  39. 39.Aditya’s mother is twice as old as Aditya. Their ages add up to 18 years. How old is Aditya?
  40. 40.Solve: 4p − 25 = 31. What is p?

Answer key

  1. 11
  2. 9
  3. 5
  4. 12
  5. 10
  6. 5
  7. 12
  8. 15
  9. 13
  10. 11
  11. 10
  12. 10
  13. 15
  14. 8
  15. 12
  16. 2
  17. 13
  18. 12
  19. 2
  20. 4
  21. 9
  22. 30
  23. 14
  24. 4
  25. 4
  26. 6
  27. 10
  28. 4
  29. 8
  30. 45
  31. 12
  32. 14
  33. 15
  34. 12
  35. 28
  36. 56
  37. 4
  38. 5
  39. 6
  40. 14

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