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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 94 · 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.Zoya thinks of a number, multiplies it by 3 and then adds 9. The result is 12. What is the number?
  2. 2.Solve: 5(p + 3) = 45. What is p?
  3. 3.Riya thinks of a number, multiplies it by 9 and then adds 21. The result is 120. What is the number?
  4. 4.Joseph thinks of a number, multiplies it by 3 and then adds 2. The result is 17. What is the number?
  5. 5.Solve: 7p − 4 = 10. What is p?
  6. 6.Meera thinks of a number, multiplies it by 5 and then adds 18. The result is 73. What is the number?
  7. 7.Solve: 2(t + 8) = 40. What is t?
  8. 8.Dev thinks of a number, multiplies it by 5 and then adds 10. The result is 25. What is the number?
  9. 9.Solve: 8n + 4 = 52. What is n?
  10. 10.Solve: 6(x + 5) = 36. What is x?
  11. 11.Solve: 9y + 27 = 153. What is y?
  12. 12.Solve: 8m + 30 = 54. What is m?
  13. 13.Solve: y/9 + 7 = 14. What is y?
  14. 14.Solve: 3p + 17 = 32. What is p?
  15. 15.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 18 years. How old is Gurpreet?
  16. 16.Solve: 3(y + 6) = 45. What is y?
  17. 17.Solve: n/2 + 14 = 18. What is n?
  18. 18.Joseph’s mother is four times as old as Joseph. Their ages add up to 25 years. How old is Joseph?
  19. 19.Rohan is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  20. 20.Solve: 4x + 21 = 33. What is x?
  21. 21.Solve: 8x + 15 = 39. What is x?
  22. 22.Solve: 8m − 56 = 16. What is m?
  23. 23.Solve: n/4 + 17 = 23. What is n?
  24. 24.Solve: 2t − 7 = 17. What is t?
  25. 25.Manav thinks of a number, multiplies it by 3 and then adds 14. The result is 53. What is the number?
  26. 26.Solve: 2t − 5 = 11. What is t?
  27. 27.Solve: 6t − 18 = 54. What is t?
  28. 28.Solve: x/2 + 16 = 28. What is x?
  29. 29.Solve: 8t − 26 = 6. What is t?
  30. 30.Tara thinks of a number, multiplies it by 7 and then adds 26. The result is 61. What is the number?
  31. 31.Solve: 3t + 24 = 54. What is t?
  32. 32.Saanvi thinks of a number, multiplies it by 6 and then adds 2. The result is 32. What is the number?
  33. 33.Dev thinks of a number, multiplies it by 5 and then adds 12. The result is 47. What is the number?
  34. 34.Solve: 2t − 1 = 3. What is t?
  35. 35.Solve: 3(t + 9) = 63. What is t?
  36. 36.Ananya thinks of a number, multiplies it by 4 and then adds 10. The result is 38. What is the number?
  37. 37.Rahul’s mother is three times as old as Rahul. Their ages add up to 56 years. How old is Rahul?
  38. 38.Solve: 4x − 26 = 6. What is x?
  39. 39.Solve: 6(m + 8) = 108. What is m?
  40. 40.Solve: y/4 + 13 = 18. What is y?

Answer key

  1. 1
  2. 6
  3. 11
  4. 5
  5. 2
  6. 11
  7. 12
  8. 3
  9. 6
  10. 1
  11. 14
  12. 3
  13. 63
  14. 5
  15. 6
  16. 9
  17. 8
  18. 5
  19. 11
  20. 3
  21. 3
  22. 9
  23. 24
  24. 12
  25. 13
  26. 8
  27. 12
  28. 24
  29. 4
  30. 5
  31. 10
  32. 5
  33. 7
  34. 2
  35. 12
  36. 7
  37. 14
  38. 8
  39. 10
  40. 20

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