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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 233 · 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: 3y − 4 = 2. What is y?
  2. 2.Aditya thinks of a number, multiplies it by 4 and then adds 7. The result is 19. What is the number?
  3. 3.Solve: 9t + 18 = 27. What is t?
  4. 4.Solve: n/4 + 15 = 20. What is n?
  5. 5.Rahul’s mother is four times as old as Rahul. Their ages add up to 30 years. How old is Rahul?
  6. 6.Isha thinks of a number, multiplies it by 2 and then adds 14. The result is 40. What is the number?
  7. 7.Rohan’s mother is three times as old as Rohan. Their ages add up to 16 years. How old is Rohan?
  8. 8.Diya thinks of a number, multiplies it by 3 and then adds 3. The result is 12. What is the number?
  9. 9.Solve: 5t − 47 = 3. What is t?
  10. 10.Solve: 8(t + 2) = 112. What is t?
  11. 11.Solve: 6n + 20 = 86. What is n?
  12. 12.Solve: 5n + 28 = 73. What is n?
  13. 13.Isha thinks of a number, multiplies it by 7 and then adds 9. The result is 30. What is the number?
  14. 14.Solve: 2m − 8 = 2. What is m?
  15. 15.Solve: 2x − 4 = 6. What is x?
  16. 16.Solve: y/2 + 1 = 13. What is y?
  17. 17.Solve: 7p + 3 = 10. What is p?
  18. 18.Solve: 2(y + 8) = 44. What is y?
  19. 19.Solve: 4m − 18 = 42. What is m?
  20. 20.Manav thinks of a number, multiplies it by 2 and then adds 8. The result is 36. What is the number?
  21. 21.Gurpreet thinks of a number, multiplies it by 5 and then adds 9. The result is 14. What is the number?
  22. 22.Solve: 5x + 11 = 66. What is x?
  23. 23.Solve: y/3 + 7 = 20. What is y?
  24. 24.Solve: 6(y + 6) = 60. What is y?
  25. 25.Ananya thinks of a number, multiplies it by 9 and then adds 8. The result is 98. What is the number?
  26. 26.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 18 years. How old is Ishaan?
  27. 27.Aarav thinks of a number, multiplies it by 4 and then adds 29. The result is 69. What is the number?
  28. 28.Solve: 8(n + 5) = 56. What is n?
  29. 29.Solve: y/4 + 17 = 20. What is y?
  30. 30.Solve: 2t − 13 = 1. What is t?
  31. 31.Solve: 5n − 48 = 27. What is n?
  32. 32.Solve: 8x + 11 = 43. What is x?
  33. 33.Solve: 6n − 20 = 4. What is n?
  34. 34.Solve: 8x − 38 = 18. What is x?
  35. 35.Solve: 6(y + 2) = 48. What is y?
  36. 36.Solve: 2(n + 1) = 10. What is n?
  37. 37.Meera thinks of a number, multiplies it by 3 and then adds 7. The result is 31. What is the number?
  38. 38.Solve: t/8 + 10 = 21. What is t?
  39. 39.Solve: 6(x + 8) = 96. What is x?
  40. 40.Solve: n/6 + 1 = 12. What is n?

Answer key

  1. 2
  2. 3
  3. 1
  4. 20
  5. 6
  6. 13
  7. 4
  8. 3
  9. 10
  10. 12
  11. 11
  12. 9
  13. 3
  14. 5
  15. 5
  16. 24
  17. 1
  18. 14
  19. 15
  20. 14
  21. 1
  22. 11
  23. 39
  24. 4
  25. 10
  26. 6
  27. 10
  28. 2
  29. 12
  30. 7
  31. 15
  32. 4
  33. 4
  34. 7
  35. 6
  36. 4
  37. 8
  38. 88
  39. 8
  40. 66

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