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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 190 · 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: 9y − 7 = 11. What is y?
  2. 2.Solve: 2t − 13 = 7. What is t?
  3. 3.Solve: 4x + 20 = 68. What is x?
  4. 4.Sneha thinks of a number, multiplies it by 5 and then adds 24. The result is 79. What is the number?
  5. 5.Riya’s mother is twice as old as Riya. Their ages add up to 18 years. How old is Riya?
  6. 6.Aarav thinks of a number, multiplies it by 9 and then adds 10. The result is 55. What is the number?
  7. 7.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 30 years. How old is Gurpreet?
  8. 8.Solve: n/6 + 7 = 22. What is n?
  9. 9.Manav thinks of a number, multiplies it by 9 and then adds 16. The result is 34. What is the number?
  10. 10.Dev is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  11. 11.Solve: 8(y + 8) = 80. What is y?
  12. 12.Solve: 8(n + 4) = 64. What is n?
  13. 13.Tara’s mother is twice as old as Tara. Their ages add up to 27 years. How old is Tara?
  14. 14.Pooja thinks of a number, multiplies it by 9 and then adds 14. The result is 86. What is the number?
  15. 15.Solve: t/9 + 14 = 18. What is t?
  16. 16.Solve: 2t + 29 = 59. What is t?
  17. 17.Vivaan is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  18. 18.Kabir’s mother is three times as old as Kabir. Their ages add up to 44 years. How old is Kabir?
  19. 19.Solve: 6m + 29 = 65. What is m?
  20. 20.Solve: p/5 + 4 = 12. What is p?
  21. 21.Dev is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  22. 22.Solve: 6t + 27 = 69. What is t?
  23. 23.Riya thinks of a number, multiplies it by 5 and then adds 19. The result is 29. What is the number?
  24. 24.Priya is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  25. 25.Solve: y/3 + 6 = 7. What is y?
  26. 26.Solve: t/4 + 5 = 20. What is t?
  27. 27.Solve: x/4 + 16 = 22. What is x?
  28. 28.Solve: 5y − 22 = 23. What is y?
  29. 29.Solve: 3x + 22 = 37. What is x?
  30. 30.Solve: 5y − 29 = 16. What is y?
  31. 31.Riya’s mother is four times as old as Riya. Their ages add up to 45 years. How old is Riya?
  32. 32.Ishaan thinks of a number, multiplies it by 4 and then adds 16. The result is 52. What is the number?
  33. 33.Solve: p/6 + 13 = 17. What is p?
  34. 34.Solve: 9t − 26 = 10. What is t?
  35. 35.Solve: 7t + 6 = 97. What is t?
  36. 36.Solve: 5m + 11 = 86. What is m?
  37. 37.Saanvi thinks of a number, multiplies it by 7 and then adds 7. The result is 14. What is the number?
  38. 38.Solve: 4x − 1 = 3. What is x?
  39. 39.Solve: 6n + 10 = 40. What is n?
  40. 40.Saanvi thinks of a number, multiplies it by 5 and then adds 14. The result is 89. What is the number?

Answer key

  1. 2
  2. 10
  3. 12
  4. 11
  5. 6
  6. 5
  7. 10
  8. 90
  9. 2
  10. 15
  11. 2
  12. 4
  13. 9
  14. 8
  15. 36
  16. 15
  17. 6
  18. 11
  19. 6
  20. 40
  21. 9
  22. 7
  23. 2
  24. 6
  25. 3
  26. 60
  27. 24
  28. 9
  29. 5
  30. 9
  31. 9
  32. 9
  33. 24
  34. 4
  35. 13
  36. 15
  37. 1
  38. 1
  39. 5
  40. 15

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