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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 757 · 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 − 12 = 12. What is x?
  2. 2.Joseph thinks of a number, multiplies it by 8 and then adds 20. The result is 52. What is the number?
  3. 3.Solve: 2(y + 8) = 34. What is y?
  4. 4.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 52 years. How old is Ishaan?
  5. 5.Solve: 8(x + 4) = 56. What is x?
  6. 6.Solve: 3t − 11 = 1. What is t?
  7. 7.Solve: 3p − 40 = 2. What is p?
  8. 8.Aditya’s mother is twice as old as Aditya. Their ages add up to 15 years. How old is Aditya?
  9. 9.Solve: 2x − 3 = 3. What is x?
  10. 10.Solve: 4(p + 2) = 44. What is p?
  11. 11.Solve: 3(p + 1) = 36. What is p?
  12. 12.Solve: 8(p + 5) = 144. What is p?
  13. 13.Pooja is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  14. 14.Solve: 7t + 15 = 120. What is t?
  15. 15.Aditya thinks of a number, multiplies it by 8 and then adds 28. The result is 100. What is the number?
  16. 16.Solve: 5y − 48 = 17. What is y?
  17. 17.Kavya thinks of a number, multiplies it by 5 and then adds 22. The result is 97. What is the number?
  18. 18.Solve: 7n + 12 = 40. What is n?
  19. 19.Nisha is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  20. 20.Solve: 7y − 8 = 20. What is y?
  21. 21.Solve: p/6 + 8 = 9. What is p?
  22. 22.Solve: 9n + 17 = 26. What is n?
  23. 23.Solve: 3n + 3 = 36. What is n?
  24. 24.Solve: 7y + 16 = 72. What is y?
  25. 25.Solve: 2(y + 2) = 34. What is y?
  26. 26.Solve: 6n − 6 = 12. What is n?
  27. 27.Solve: 9x + 6 = 33. What is x?
  28. 28.Solve: 6y − 39 = 51. What is y?
  29. 29.Diya thinks of a number, multiplies it by 8 and then adds 19. The result is 59. What is the number?
  30. 30.Solve: 6(t + 2) = 30. What is t?
  31. 31.Kabir is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  32. 32.Solve: 5m + 16 = 21. What is m?
  33. 33.Nisha is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  34. 34.Solve: 7(m + 7) = 70. What is m?
  35. 35.Solve: y/8 + 9 = 10. What is y?
  36. 36.Solve: 2(y + 2) = 6. What is y?
  37. 37.Solve: 2p + 24 = 54. What is p?
  38. 38.Solve: 2n − 4 = 2. What is n?
  39. 39.Solve: 2y + 16 = 26. What is y?
  40. 40.Solve: 4n − 15 = 9. What is n?

Answer key

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

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