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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 710 · 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.Diya’s mother is twice as old as Diya. Their ages add up to 24 years. How old is Diya?
  2. 2.Solve: 5x − 59 = 11. What is x?
  3. 3.Solve: x/5 + 18 = 22. What is x?
  4. 4.Saanvi thinks of a number, multiplies it by 4 and then adds 24. The result is 48. What is the number?
  5. 5.Kavya thinks of a number, multiplies it by 9 and then adds 14. The result is 68. What is the number?
  6. 6.Riya thinks of a number, multiplies it by 6 and then adds 24. The result is 102. What is the number?
  7. 7.Solve: 7t + 14 = 35. What is t?
  8. 8.Solve: 5n − 6 = 49. What is n?
  9. 9.Pooja’s mother is three times as old as Pooja. Their ages add up to 56 years. How old is Pooja?
  10. 10.Solve: 9p − 11 = 25. What is p?
  11. 11.Tara thinks of a number, multiplies it by 4 and then adds 11. The result is 71. What is the number?
  12. 12.Solve: 4(y + 6) = 64. What is y?
  13. 13.Karan is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  14. 14.Solve: y/3 + 3 = 10. What is y?
  15. 15.Kabir thinks of a number, multiplies it by 6 and then adds 12. The result is 60. What is the number?
  16. 16.Aarav’s mother is twice as old as Aarav. Their ages add up to 33 years. How old is Aarav?
  17. 17.Meera thinks of a number, multiplies it by 8 and then adds 19. The result is 43. What is the number?
  18. 18.Solve: 7m − 33 = 16. What is m?
  19. 19.Solve: 7n + 17 = 94. What is n?
  20. 20.Solve: 8p + 6 = 22. What is p?
  21. 21.Solve: n/5 + 10 = 13. What is n?
  22. 22.Solve: 5n − 7 = 33. What is n?
  23. 23.Solve: 2x + 6 = 12. What is x?
  24. 24.Sneha thinks of a number, multiplies it by 2 and then adds 9. The result is 39. What is the number?
  25. 25.Solve: 7n − 27 = 36. What is n?
  26. 26.Solve: 5y + 1 = 61. What is y?
  27. 27.Solve: t/2 + 3 = 6. What is t?
  28. 28.Zoya’s mother is four times as old as Zoya. Their ages add up to 40 years. How old is Zoya?
  29. 29.Solve: 3(x + 2) = 51. What is x?
  30. 30.Solve: p/4 + 9 = 12. What is p?
  31. 31.Solve: 4(m + 9) = 68. What is m?
  32. 32.Saanvi is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  33. 33.Solve: 8(y + 5) = 120. What is y?
  34. 34.Solve: p/9 + 2 = 14. What is p?
  35. 35.Solve: 9t − 105 = 12. What is t?
  36. 36.Solve: 9y + 5 = 59. What is y?
  37. 37.Solve: 3(m + 3) = 45. What is m?
  38. 38.Sneha is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  39. 39.Sneha is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  40. 40.Solve: 2n − 13 = 15. What is n?

Answer key

  1. 8
  2. 14
  3. 20
  4. 6
  5. 6
  6. 13
  7. 3
  8. 11
  9. 14
  10. 4
  11. 15
  12. 10
  13. 10
  14. 21
  15. 8
  16. 11
  17. 3
  18. 7
  19. 11
  20. 2
  21. 15
  22. 8
  23. 3
  24. 15
  25. 9
  26. 12
  27. 6
  28. 8
  29. 15
  30. 12
  31. 8
  32. 8
  33. 10
  34. 108
  35. 13
  36. 6
  37. 12
  38. 5
  39. 4
  40. 14

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