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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 356 · 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: 3m − 16 = 8. What is m?
  2. 2.Solve: 5(t + 1) = 70. What is t?
  3. 3.Solve: 5m + 7 = 52. What is m?
  4. 4.Solve: 2(x + 4) = 32. What is x?
  5. 5.Solve: 3x + 12 = 39. What is x?
  6. 6.Solve: 7y − 9 = 5. What is y?
  7. 7.Farhan thinks of a number, multiplies it by 9 and then adds 23. The result is 68. What is the number?
  8. 8.Rahul’s mother is three times as old as Rahul. Their ages add up to 52 years. How old is Rahul?
  9. 9.Solve: 3(m + 2) = 9. What is m?
  10. 10.Solve: 7x + 24 = 129. What is x?
  11. 11.Aarav’s mother is twice as old as Aarav. Their ages add up to 30 years. How old is Aarav?
  12. 12.Solve: 3(m + 3) = 42. What is m?
  13. 13.Vivaan thinks of a number, multiplies it by 7 and then adds 5. The result is 47. What is the number?
  14. 14.Solve: 2x + 19 = 29. What is x?
  15. 15.Isha thinks of a number, multiplies it by 7 and then adds 14. The result is 105. What is the number?
  16. 16.Priya’s mother is twice as old as Priya. Their ages add up to 18 years. How old is Priya?
  17. 17.Solve: 6y + 4 = 40. What is y?
  18. 18.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 30 years. How old is Gurpreet?
  19. 19.Solve: 9p − 121 = 5. What is p?
  20. 20.Solve: 3y + 27 = 57. What is y?
  21. 21.Solve: 7n − 9 = 12. What is n?
  22. 22.Solve: 7y − 54 = 9. What is y?
  23. 23.Karan thinks of a number, multiplies it by 4 and then adds 26. The result is 42. What is the number?
  24. 24.Solve: 2m + 12 = 36. What is m?
  25. 25.Solve: 6p − 58 = 2. What is p?
  26. 26.Solve: 4(x + 4) = 24. What is x?
  27. 27.Solve: 6p − 29 = 43. What is p?
  28. 28.Solve: y/2 + 3 = 5. What is y?
  29. 29.Solve: 5x − 4 = 1. What is x?
  30. 30.Solve: 8y − 10 = 46. What is y?
  31. 31.Solve: 6(x + 2) = 42. What is x?
  32. 32.Solve: 4n + 2 = 50. What is n?
  33. 33.Kavya’s mother is four times as old as Kavya. Their ages add up to 30 years. How old is Kavya?
  34. 34.Solve: 6(n + 2) = 36. What is n?
  35. 35.Kabir thinks of a number, multiplies it by 9 and then adds 18. The result is 63. What is the number?
  36. 36.Solve: 9m − 68 = 13. What is m?
  37. 37.Arjun thinks of a number, multiplies it by 5 and then adds 8. The result is 18. What is the number?
  38. 38.Dev thinks of a number, multiplies it by 2 and then adds 6. The result is 34. What is the number?
  39. 39.Solve: 3m − 1 = 11. What is m?
  40. 40.Aditya thinks of a number, multiplies it by 6 and then adds 4. The result is 94. What is the number?

Answer key

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

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