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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 616 · 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: p/5 + 17 = 19. What is p?
  2. 2.Solve: x/2 + 15 = 20. What is x?
  3. 3.Solve: 7p + 4 = 74. What is p?
  4. 4.Meera thinks of a number, multiplies it by 5 and then adds 27. The result is 32. What is the number?
  5. 5.Solve: x/2 + 8 = 23. What is x?
  6. 6.Priya thinks of a number, multiplies it by 8 and then adds 10. The result is 26. What is the number?
  7. 7.Solve: p/4 + 20 = 21. What is p?
  8. 8.Joseph’s mother is four times as old as Joseph. Their ages add up to 60 years. How old is Joseph?
  9. 9.Solve: n/9 + 19 = 21. What is n?
  10. 10.Solve: x/6 + 17 = 19. What is x?
  11. 11.Solve: 8t + 30 = 86. What is t?
  12. 12.Solve: 2(p + 2) = 34. What is p?
  13. 13.Farhan thinks of a number, multiplies it by 2 and then adds 14. The result is 44. What is the number?
  14. 14.Solve: n/2 + 14 = 21. What is n?
  15. 15.Saanvi thinks of a number, multiplies it by 9 and then adds 10. The result is 100. What is the number?
  16. 16.Solve: 2t + 10 = 34. What is t?
  17. 17.Solve: 9t − 25 = 20. What is t?
  18. 18.Vivaan thinks of a number, multiplies it by 2 and then adds 9. The result is 37. What is the number?
  19. 19.Karan thinks of a number, multiplies it by 3 and then adds 3. The result is 15. What is the number?
  20. 20.Solve: 7m + 6 = 34. What is m?
  21. 21.Solve: x/2 + 14 = 26. What is x?
  22. 22.Solve: 3(x + 1) = 6. What is x?
  23. 23.Solve: 7y + 9 = 51. What is y?
  24. 24.Solve: 3m + 25 = 52. What is m?
  25. 25.Isha’s mother is twice as old as Isha. Their ages add up to 12 years. How old is Isha?
  26. 26.Solve: 5t − 8 = 2. What is t?
  27. 27.Ananya thinks of a number, multiplies it by 4 and then adds 12. The result is 56. What is the number?
  28. 28.Solve: 8y + 9 = 25. What is y?
  29. 29.Nisha thinks of a number, multiplies it by 9 and then adds 21. The result is 48. What is the number?
  30. 30.Kabir is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  31. 31.Solve: 6x − 11 = 19. What is x?
  32. 32.Solve: 5(y + 3) = 75. What is y?
  33. 33.Solve: 6p − 32 = 52. What is p?
  34. 34.Lakshmi is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  35. 35.Solve: 6x + 30 = 120. What is x?
  36. 36.Solve: 9y + 28 = 46. What is y?
  37. 37.Solve: t/6 + 15 = 25. What is t?
  38. 38.Solve: 5m + 1 = 46. What is m?
  39. 39.Rohan is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  40. 40.Tara is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?

Answer key

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

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