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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 466 · 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.Ananya thinks of a number, multiplies it by 5 and then adds 20. The result is 60. What is the number?
  2. 2.Diya thinks of a number, multiplies it by 2 and then adds 13. The result is 25. What is the number?
  3. 3.Solve: x/6 + 1 = 5. What is x?
  4. 4.Rohan thinks of a number, multiplies it by 8 and then adds 10. The result is 90. What is the number?
  5. 5.Solve: 6p − 1 = 23. What is p?
  6. 6.Solve: x/6 + 3 = 4. What is x?
  7. 7.Solve: 9y + 4 = 67. What is y?
  8. 8.Solve: n/7 + 2 = 12. What is n?
  9. 9.Solve: 3x + 27 = 39. What is x?
  10. 10.Vivaan thinks of a number, multiplies it by 5 and then adds 8. The result is 78. What is the number?
  11. 11.Solve: m/6 + 7 = 15. What is m?
  12. 12.Rahul thinks of a number, multiplies it by 6 and then adds 2. The result is 44. What is the number?
  13. 13.Solve: 3p + 7 = 25. What is p?
  14. 14.Tara’s mother is four times as old as Tara. Their ages add up to 35 years. How old is Tara?
  15. 15.Solve: 2m − 3 = 5. What is m?
  16. 16.Ananya thinks of a number, multiplies it by 5 and then adds 7. The result is 72. What is the number?
  17. 17.Dev thinks of a number, multiplies it by 4 and then adds 29. The result is 65. What is the number?
  18. 18.Solve: y/3 + 3 = 15. What is y?
  19. 19.Vivaan thinks of a number, multiplies it by 9 and then adds 13. The result is 31. What is the number?
  20. 20.Solve: 9p + 27 = 99. What is p?
  21. 21.Kabir thinks of a number, multiplies it by 9 and then adds 29. The result is 101. What is the number?
  22. 22.Solve: 6p − 35 = 13. What is p?
  23. 23.Solve: x/6 + 16 = 28. What is x?
  24. 24.Solve: x/9 + 2 = 9. What is x?
  25. 25.Solve: 3m + 23 = 62. What is m?
  26. 26.Solve: 4x − 4 = 4. What is x?
  27. 27.Rahul’s mother is twice as old as Rahul. Their ages add up to 12 years. How old is Rahul?
  28. 28.Solve: 4x − 7 = 53. What is x?
  29. 29.Solve: 9m + 1 = 19. What is m?
  30. 30.Solve: 4y + 2 = 14. What is y?
  31. 31.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 70 years. How old is Saanvi?
  32. 32.Solve: 8y + 19 = 115. What is y?
  33. 33.Solve: p/7 + 16 = 20. What is p?
  34. 34.Rohan thinks of a number, multiplies it by 6 and then adds 8. The result is 62. What is the number?
  35. 35.Solve: m/2 + 5 = 11. What is m?
  36. 36.Solve: 4(m + 1) = 60. What is m?
  37. 37.Solve: 4x − 5 = 23. What is x?
  38. 38.Solve: 3x − 9 = 27. What is x?
  39. 39.Solve: p/2 + 1 = 3. What is p?
  40. 40.Farhan thinks of a number, multiplies it by 7 and then adds 19. The result is 26. What is the number?

Answer key

  1. 8
  2. 6
  3. 24
  4. 10
  5. 4
  6. 6
  7. 7
  8. 70
  9. 4
  10. 14
  11. 48
  12. 7
  13. 6
  14. 7
  15. 4
  16. 13
  17. 9
  18. 36
  19. 2
  20. 8
  21. 8
  22. 8
  23. 72
  24. 63
  25. 13
  26. 2
  27. 4
  28. 15
  29. 2
  30. 3
  31. 14
  32. 12
  33. 28
  34. 9
  35. 12
  36. 14
  37. 7
  38. 12
  39. 4
  40. 1

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