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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 751 · 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 − 1 = 2. What is y?
  2. 2.Solve: n/3 + 4 = 7. What is n?
  3. 3.Aditya thinks of a number, multiplies it by 8 and then adds 24. The result is 120. What is the number?
  4. 4.Solve: 2p − 10 = 12. What is p?
  5. 5.Rahul’s mother is four times as old as Rahul. Their ages add up to 65 years. How old is Rahul?
  6. 6.Solve: 9(t + 4) = 117. What is t?
  7. 7.Solve: x/6 + 18 = 20. What is x?
  8. 8.Solve: 6y + 7 = 37. What is y?
  9. 9.Solve: 5x − 31 = 4. What is x?
  10. 10.Solve: 4(t + 8) = 68. What is t?
  11. 11.Solve: 4(y + 1) = 44. What is y?
  12. 12.Kavya thinks of a number, multiplies it by 5 and then adds 16. The result is 66. What is the number?
  13. 13.Meera’s mother is three times as old as Meera. Their ages add up to 28 years. How old is Meera?
  14. 14.Solve: 7x − 55 = 8. What is x?
  15. 15.Rohan is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  16. 16.Solve: t/2 + 8 = 17. What is t?
  17. 17.Solve: 4t + 23 = 47. What is t?
  18. 18.Pooja thinks of a number, multiplies it by 2 and then adds 15. The result is 25. What is the number?
  19. 19.Isha’s mother is twice as old as Isha. Their ages add up to 12 years. How old is Isha?
  20. 20.Solve: 2(y + 9) = 48. What is y?
  21. 21.Vivaan thinks of a number, multiplies it by 9 and then adds 4. The result is 112. What is the number?
  22. 22.Solve: 2t + 1 = 25. What is t?
  23. 23.Solve: 7(y + 7) = 84. What is y?
  24. 24.Solve: y/4 + 4 = 19. What is y?
  25. 25.Nisha is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  26. 26.Solve: 7m − 28 = 14. What is m?
  27. 27.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 35 years. How old is Lakshmi?
  28. 28.Solve: 3m + 29 = 74. What is m?
  29. 29.Meera is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  30. 30.Solve: 6p + 28 = 34. What is p?
  31. 31.Aarav thinks of a number, multiplies it by 6 and then adds 13. The result is 55. What is the number?
  32. 32.Solve: 3n − 11 = 22. What is n?
  33. 33.Joseph is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  34. 34.Farhan thinks of a number, multiplies it by 3 and then adds 20. The result is 50. What is the number?
  35. 35.Solve: 7x + 17 = 101. What is x?
  36. 36.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 21 years. How old is Gurpreet?
  37. 37.Solve: 5(x + 3) = 25. What is x?
  38. 38.Solve: 3y − 7 = 11. What is y?
  39. 39.Solve: t/2 + 3 = 18. What is t?
  40. 40.Solve: 4t + 10 = 66. What is t?

Answer key

  1. 1
  2. 9
  3. 12
  4. 11
  5. 13
  6. 9
  7. 12
  8. 5
  9. 7
  10. 9
  11. 10
  12. 10
  13. 7
  14. 9
  15. 4
  16. 18
  17. 6
  18. 5
  19. 4
  20. 15
  21. 12
  22. 12
  23. 5
  24. 60
  25. 9
  26. 6
  27. 7
  28. 15
  29. 6
  30. 1
  31. 7
  32. 11
  33. 6
  34. 10
  35. 12
  36. 7
  37. 2
  38. 6
  39. 30
  40. 14

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