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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 963 · 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: 6p − 50 = 4. What is p?
  2. 2.Aarav thinks of a number, multiplies it by 2 and then adds 10. The result is 32. What is the number?
  3. 3.Solve: 5y + 28 = 43. What is y?
  4. 4.Ananya thinks of a number, multiplies it by 5 and then adds 22. The result is 42. What is the number?
  5. 5.Farhan thinks of a number, multiplies it by 3 and then adds 13. The result is 55. What is the number?
  6. 6.Joseph thinks of a number, multiplies it by 2 and then adds 18. The result is 30. What is the number?
  7. 7.Solve: m/8 + 8 = 17. What is m?
  8. 8.Solve: 2t + 23 = 33. What is t?
  9. 9.Solve: y/8 + 14 = 26. What is y?
  10. 10.Solve: x/7 + 13 = 14. What is x?
  11. 11.Solve: 4p + 29 = 49. What is p?
  12. 12.Farhan thinks of a number, multiplies it by 8 and then adds 29. The result is 93. What is the number?
  13. 13.Diya thinks of a number, multiplies it by 5 and then adds 10. The result is 25. What is the number?
  14. 14.Solve: 3p + 22 = 31. What is p?
  15. 15.Solve: 9t + 18 = 36. What is t?
  16. 16.Saanvi thinks of a number, multiplies it by 9 and then adds 14. The result is 113. What is the number?
  17. 17.Zoya thinks of a number, multiplies it by 2 and then adds 28. The result is 48. What is the number?
  18. 18.Solve: 6t + 21 = 111. What is t?
  19. 19.Isha’s mother is three times as old as Isha. Their ages add up to 24 years. How old is Isha?
  20. 20.Vivaan thinks of a number, multiplies it by 6 and then adds 5. The result is 35. What is the number?
  21. 21.Solve: 9n + 7 = 43. What is n?
  22. 22.Solve: y/4 + 1 = 5. What is y?
  23. 23.Solve: 4(y + 3) = 36. What is y?
  24. 24.Solve: y/9 + 13 = 28. What is y?
  25. 25.Solve: 9m − 23 = 31. What is m?
  26. 26.Solve: 5n − 7 = 43. What is n?
  27. 27.Solve: y/9 + 20 = 26. What is y?
  28. 28.Solve: p/4 + 6 = 21. What is p?
  29. 29.Vivaan is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  30. 30.Solve: 4(x + 7) = 84. What is x?
  31. 31.Solve: 7t − 20 = 8. What is t?
  32. 32.Solve: 5m + 5 = 30. What is m?
  33. 33.Aarav is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  34. 34.Rohan is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  35. 35.Solve: 6(n + 9) = 78. What is n?
  36. 36.Solve: 5n + 18 = 78. What is n?
  37. 37.Karan’s mother is three times as old as Karan. Their ages add up to 16 years. How old is Karan?
  38. 38.Solve: 4p + 20 = 44. What is p?
  39. 39.Solve: 9p − 28 = 53. What is p?
  40. 40.Solve: 4m − 14 = 34. What is m?

Answer key

  1. 9
  2. 11
  3. 3
  4. 4
  5. 14
  6. 6
  7. 72
  8. 5
  9. 96
  10. 7
  11. 5
  12. 8
  13. 3
  14. 3
  15. 2
  16. 11
  17. 10
  18. 15
  19. 6
  20. 5
  21. 4
  22. 16
  23. 6
  24. 135
  25. 6
  26. 10
  27. 54
  28. 60
  29. 10
  30. 14
  31. 4
  32. 5
  33. 7
  34. 5
  35. 4
  36. 12
  37. 4
  38. 6
  39. 9
  40. 12

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