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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 349 · 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: 8t − 8 = 16. What is t?
  2. 2.Solve: 3(y + 1) = 21. What is y?
  3. 3.Solve: 7(y + 5) = 98. What is y?
  4. 4.Meera’s mother is three times as old as Meera. Their ages add up to 36 years. How old is Meera?
  5. 5.Sneha thinks of a number, multiplies it by 4 and then adds 17. The result is 65. What is the number?
  6. 6.Solve: x/6 + 3 = 12. What is x?
  7. 7.Solve: x/6 + 7 = 10. What is x?
  8. 8.Solve: 8t − 24 = 8. What is t?
  9. 9.Solve: 9x − 35 = 64. What is x?
  10. 10.Solve: n/5 + 16 = 31. What is n?
  11. 11.Solve: 3n − 2 = 4. What is n?
  12. 12.Solve: 7(y + 8) = 119. What is y?
  13. 13.Ananya thinks of a number, multiplies it by 7 and then adds 27. The result is 83. What is the number?
  14. 14.Solve: p/8 + 20 = 25. What is p?
  15. 15.Isha’s mother is twice as old as Isha. Their ages add up to 15 years. How old is Isha?
  16. 16.Solve: 5(m + 2) = 45. What is m?
  17. 17.Solve: 9p + 5 = 113. What is p?
  18. 18.Solve: 9m − 119 = 7. What is m?
  19. 19.Solve: 6x − 34 = 32. What is x?
  20. 20.Solve: 5(p + 3) = 85. What is p?
  21. 21.Solve: 9x + 23 = 149. What is x?
  22. 22.Solve: 5(t + 1) = 55. What is t?
  23. 23.Solve: 5y + 9 = 69. What is y?
  24. 24.Solve: 3n − 32 = 7. What is n?
  25. 25.Solve: 5m − 33 = 2. What is m?
  26. 26.Solve: n/7 + 13 = 22. What is n?
  27. 27.Solve: 3n + 17 = 38. What is n?
  28. 28.Solve: 7t + 2 = 44. What is t?
  29. 29.Solve: t/2 + 11 = 18. What is t?
  30. 30.Solve: 9y + 20 = 47. What is y?
  31. 31.Solve: 6t + 6 = 12. What is t?
  32. 32.Rohan is 4 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  33. 33.Solve: p/8 + 11 = 24. What is p?
  34. 34.Joseph thinks of a number, multiplies it by 6 and then adds 8. The result is 92. What is the number?
  35. 35.Solve: 8(x + 6) = 152. What is x?
  36. 36.Aarav thinks of a number, multiplies it by 8 and then adds 18. The result is 138. What is the number?
  37. 37.Solve: 7(p + 4) = 49. What is p?
  38. 38.Solve: 3p − 8 = 22. What is p?
  39. 39.Tara thinks of a number, multiplies it by 5 and then adds 28. The result is 38. What is the number?
  40. 40.Kabir is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?

Answer key

  1. 3
  2. 6
  3. 9
  4. 9
  5. 12
  6. 54
  7. 18
  8. 4
  9. 11
  10. 75
  11. 2
  12. 9
  13. 8
  14. 40
  15. 5
  16. 7
  17. 12
  18. 14
  19. 11
  20. 14
  21. 14
  22. 10
  23. 12
  24. 13
  25. 7
  26. 63
  27. 7
  28. 6
  29. 14
  30. 3
  31. 1
  32. 13
  33. 104
  34. 14
  35. 13
  36. 15
  37. 3
  38. 10
  39. 2
  40. 13

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