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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 610 · 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.Joseph thinks of a number, multiplies it by 5 and then adds 27. The result is 42. What is the number?
  2. 2.Solve: 9p − 91 = 35. What is p?
  3. 3.Solve: 2(n + 2) = 26. What is n?
  4. 4.Solve: 5n + 11 = 16. What is n?
  5. 5.Nisha’s mother is four times as old as Nisha. Their ages add up to 65 years. How old is Nisha?
  6. 6.Solve: 8y − 65 = 23. What is y?
  7. 7.Solve: 4(x + 1) = 24. What is x?
  8. 8.Solve: 6n + 1 = 61. What is n?
  9. 9.Solve: 5y + 5 = 80. What is y?
  10. 10.Solve: 8(y + 4) = 80. What is y?
  11. 11.Solve: 9m + 28 = 154. What is m?
  12. 12.Priya thinks of a number, multiplies it by 3 and then adds 2. The result is 26. What is the number?
  13. 13.Solve: 4m − 3 = 5. What is m?
  14. 14.Solve: 2n + 16 = 18. What is n?
  15. 15.Saanvi thinks of a number, multiplies it by 9 and then adds 8. The result is 125. What is the number?
  16. 16.Solve: 5x − 25 = 15. What is x?
  17. 17.Solve: 5x + 17 = 22. What is x?
  18. 18.Solve: 2t − 17 = 5. What is t?
  19. 19.Kabir thinks of a number, multiplies it by 8 and then adds 22. The result is 134. What is the number?
  20. 20.Joseph thinks of a number, multiplies it by 6 and then adds 15. The result is 33. What is the number?
  21. 21.Diya thinks of a number, multiplies it by 2 and then adds 21. The result is 31. What is the number?
  22. 22.Solve: 7(y + 1) = 14. What is y?
  23. 23.Solve: 3t − 5 = 34. What is t?
  24. 24.Joseph thinks of a number, multiplies it by 9 and then adds 5. The result is 95. What is the number?
  25. 25.Solve: 9(x + 1) = 135. What is x?
  26. 26.Solve: 2n + 15 = 45. What is n?
  27. 27.Solve: m/6 + 8 = 23. What is m?
  28. 28.Solve: 7x − 13 = 15. What is x?
  29. 29.Meera thinks of a number, multiplies it by 4 and then adds 14. The result is 42. What is the number?
  30. 30.Gurpreet thinks of a number, multiplies it by 8 and then adds 3. The result is 43. What is the number?
  31. 31.Solve: 9y + 25 = 61. What is y?
  32. 32.Solve: 2t + 1 = 29. What is t?
  33. 33.Solve: 5m − 64 = 1. What is m?
  34. 34.Solve: 7(y + 7) = 77. What is y?
  35. 35.Solve: p/6 + 8 = 12. What is p?
  36. 36.Solve: 6m + 6 = 24. What is m?
  37. 37.Kabir thinks of a number, multiplies it by 4 and then adds 9. The result is 17. What is the number?
  38. 38.Solve: 9m − 25 = 11. What is m?
  39. 39.Solve: 5(n + 9) = 100. What is n?
  40. 40.Solve: 7(n + 1) = 105. What is n?

Answer key

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

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