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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 362 · 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.Rohan is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  2. 2.Solve: 8m + 8 = 88. What is m?
  3. 3.Solve: 4(p + 5) = 80. What is p?
  4. 4.Solve: 4n − 19 = 37. What is n?
  5. 5.Solve: 7x + 10 = 45. What is x?
  6. 6.Solve: 6m + 26 = 80. What is m?
  7. 7.Solve: 8(p + 3) = 40. What is p?
  8. 8.Ishaan thinks of a number, multiplies it by 9 and then adds 1. The result is 64. What is the number?
  9. 9.Solve: 3m + 23 = 62. What is m?
  10. 10.Solve: 5(y + 2) = 25. What is y?
  11. 11.Solve: 8x + 26 = 58. What is x?
  12. 12.Solve: 9t − 59 = 58. What is t?
  13. 13.Kabir thinks of a number, multiplies it by 9 and then adds 12. The result is 30. What is the number?
  14. 14.Aarav thinks of a number, multiplies it by 7 and then adds 3. The result is 31. What is the number?
  15. 15.Priya thinks of a number, multiplies it by 2 and then adds 1. The result is 5. What is the number?
  16. 16.Solve: 2(p + 1) = 20. What is p?
  17. 17.Solve: 5m − 33 = 7. What is m?
  18. 18.Solve: 2t − 5 = 3. What is t?
  19. 19.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 40 years. How old is Vivaan?
  20. 20.Solve: x/6 + 5 = 12. What is x?
  21. 21.Riya thinks of a number, multiplies it by 9 and then adds 8. The result is 89. What is the number?
  22. 22.Rohan thinks of a number, multiplies it by 4 and then adds 3. The result is 39. What is the number?
  23. 23.Saanvi thinks of a number, multiplies it by 5 and then adds 2. The result is 7. What is the number?
  24. 24.Tara’s mother is four times as old as Tara. Their ages add up to 25 years. How old is Tara?
  25. 25.Solve: 5m − 24 = 26. What is m?
  26. 26.Rohan thinks of a number, multiplies it by 2 and then adds 11. The result is 25. What is the number?
  27. 27.Solve: 6y + 24 = 36. What is y?
  28. 28.Solve: 2(y + 9) = 38. What is y?
  29. 29.Lakshmi’s mother is three times as old as Lakshmi. Their ages add up to 48 years. How old is Lakshmi?
  30. 30.Solve: 8t + 19 = 115. What is t?
  31. 31.Solve: 7n − 1 = 13. What is n?
  32. 32.Solve: 7n + 13 = 104. What is n?
  33. 33.Solve: 9m + 25 = 142. What is m?
  34. 34.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 28 years. How old is Gurpreet?
  35. 35.Solve: 6x + 10 = 34. What is x?
  36. 36.Solve: y/3 + 9 = 24. What is y?
  37. 37.Solve: 4n − 11 = 1. What is n?
  38. 38.Solve: 3t − 16 = 23. What is t?
  39. 39.Solve: 8n − 26 = 6. What is n?
  40. 40.Solve: 8n − 71 = 1. What is n?

Answer key

  1. 14
  2. 10
  3. 15
  4. 14
  5. 5
  6. 9
  7. 2
  8. 7
  9. 13
  10. 3
  11. 4
  12. 13
  13. 2
  14. 4
  15. 2
  16. 9
  17. 8
  18. 4
  19. 8
  20. 42
  21. 9
  22. 9
  23. 1
  24. 5
  25. 10
  26. 7
  27. 2
  28. 10
  29. 12
  30. 12
  31. 2
  32. 13
  33. 13
  34. 7
  35. 4
  36. 45
  37. 3
  38. 13
  39. 4
  40. 9

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