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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 507 · 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: 3x − 4 = 11. What is x?
  2. 2.Ishaan thinks of a number, multiplies it by 4 and then adds 24. The result is 68. What is the number?
  3. 3.Solve: 8y + 15 = 55. What is y?
  4. 4.Solve: 9y + 26 = 161. What is y?
  5. 5.Solve: p/8 + 4 = 7. What is p?
  6. 6.Solve: 2x − 13 = 1. What is x?
  7. 7.Solve: 2x + 8 = 12. What is x?
  8. 8.Solve: 8(m + 4) = 144. What is m?
  9. 9.Solve: 4t + 2 = 22. What is t?
  10. 10.Solve: 9(n + 1) = 135. What is n?
  11. 11.Solve: 2n − 3 = 9. What is n?
  12. 12.Solve: 2p − 2 = 2. What is p?
  13. 13.Solve: 9x + 3 = 102. What is x?
  14. 14.Solve: y/2 + 2 = 4. What is y?
  15. 15.Solve: 4y − 1 = 7. What is y?
  16. 16.Solve: 3y − 7 = 2. What is y?
  17. 17.Ishaan thinks of a number, multiplies it by 3 and then adds 21. The result is 45. What is the number?
  18. 18.Rahul’s mother is three times as old as Rahul. Their ages add up to 44 years. How old is Rahul?
  19. 19.Solve: t/3 + 10 = 21. What is t?
  20. 20.Solve: 8m − 1 = 39. What is m?
  21. 21.Solve: x/5 + 9 = 16. What is x?
  22. 22.Solve: y/6 + 15 = 26. What is y?
  23. 23.Solve: y/6 + 9 = 21. What is y?
  24. 24.Solve: 2m + 22 = 36. What is m?
  25. 25.Solve: 4t − 2 = 2. What is t?
  26. 26.Solve: 4y + 6 = 30. What is y?
  27. 27.Solve: 4x − 6 = 6. What is x?
  28. 28.Solve: 7t + 7 = 35. What is t?
  29. 29.Joseph thinks of a number, multiplies it by 9 and then adds 11. The result is 101. What is the number?
  30. 30.Solve: 8p − 18 = 30. What is p?
  31. 31.Joseph thinks of a number, multiplies it by 3 and then adds 5. The result is 29. What is the number?
  32. 32.Solve: t/5 + 5 = 12. What is t?
  33. 33.Solve: 7p − 6 = 92. What is p?
  34. 34.Solve: 5p − 11 = 59. What is p?
  35. 35.Solve: n/6 + 14 = 22. What is n?
  36. 36.Ananya thinks of a number, multiplies it by 6 and then adds 8. The result is 68. What is the number?
  37. 37.Kavya is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  38. 38.Solve: 4m + 17 = 69. What is m?
  39. 39.Solve: 2p − 1 = 1. What is p?
  40. 40.Solve: 3t + 8 = 23. What is t?

Answer key

  1. 5
  2. 11
  3. 5
  4. 15
  5. 24
  6. 7
  7. 2
  8. 14
  9. 5
  10. 14
  11. 6
  12. 2
  13. 11
  14. 4
  15. 2
  16. 3
  17. 8
  18. 11
  19. 33
  20. 5
  21. 35
  22. 66
  23. 72
  24. 7
  25. 1
  26. 6
  27. 3
  28. 4
  29. 10
  30. 6
  31. 8
  32. 35
  33. 14
  34. 14
  35. 48
  36. 10
  37. 7
  38. 13
  39. 1
  40. 5

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