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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 950 · 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/6 + 1 = 5. What is p?
  2. 2.Solve: x/2 + 17 = 24. What is x?
  3. 3.Solve: m/9 + 13 = 25. What is m?
  4. 4.Solve: 3y + 28 = 31. What is y?
  5. 5.Solve: x/6 + 18 = 25. What is x?
  6. 6.Solve: y/5 + 3 = 14. What is y?
  7. 7.Solve: t/5 + 5 = 9. What is t?
  8. 8.Solve: 6m − 22 = 44. What is m?
  9. 9.Solve: 4p + 28 = 44. What is p?
  10. 10.Solve: 4(t + 1) = 56. What is t?
  11. 11.Meera thinks of a number, multiplies it by 5 and then adds 1. The result is 36. What is the number?
  12. 12.Aditya’s mother is twice as old as Aditya. Their ages add up to 21 years. How old is Aditya?
  13. 13.Solve: 8(n + 2) = 48. What is n?
  14. 14.Sneha’s mother is four times as old as Sneha. Their ages add up to 45 years. How old is Sneha?
  15. 15.Solve: 2(n + 3) = 22. What is n?
  16. 16.Solve: 6(p + 3) = 84. What is p?
  17. 17.Solve: 4m + 22 = 82. What is m?
  18. 18.Solve: 3p − 3 = 27. What is p?
  19. 19.Solve: 2y − 1 = 27. What is y?
  20. 20.Solve: 9x − 34 = 74. What is x?
  21. 21.Solve: 2x + 30 = 46. What is x?
  22. 22.Solve: 5m − 3 = 7. What is m?
  23. 23.Sneha’s mother is four times as old as Sneha. Their ages add up to 30 years. How old is Sneha?
  24. 24.Solve: 2t + 1 = 27. What is t?
  25. 25.Farhan thinks of a number, multiplies it by 9 and then adds 25. The result is 106. What is the number?
  26. 26.Solve: n/6 + 10 = 12. What is n?
  27. 27.Solve: 3t + 8 = 17. What is t?
  28. 28.Solve: 2y + 23 = 51. What is y?
  29. 29.Solve: m/4 + 4 = 17. What is m?
  30. 30.Solve: 3p + 6 = 9. What is p?
  31. 31.Solve: 9n − 26 = 1. What is n?
  32. 32.Priya thinks of a number, multiplies it by 4 and then adds 18. The result is 78. What is the number?
  33. 33.Solve: 2(y + 9) = 34. What is y?
  34. 34.Solve: 3p − 4 = 14. What is p?
  35. 35.Solve: 5(y + 1) = 35. What is y?
  36. 36.Solve: p/2 + 7 = 14. What is p?
  37. 37.Isha’s mother is twice as old as Isha. Their ages add up to 18 years. How old is Isha?
  38. 38.Solve: 9x + 28 = 127. What is x?
  39. 39.Solve: 5x + 21 = 86. What is x?
  40. 40.Solve: 2p − 19 = 1. What is p?

Answer key

  1. 24
  2. 14
  3. 108
  4. 1
  5. 42
  6. 55
  7. 20
  8. 11
  9. 4
  10. 13
  11. 7
  12. 7
  13. 4
  14. 9
  15. 8
  16. 11
  17. 15
  18. 10
  19. 14
  20. 12
  21. 8
  22. 2
  23. 6
  24. 13
  25. 9
  26. 12
  27. 3
  28. 14
  29. 52
  30. 1
  31. 3
  32. 15
  33. 8
  34. 6
  35. 6
  36. 14
  37. 6
  38. 11
  39. 13
  40. 10

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