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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 522 · 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: 2y − 1 = 1. What is y?
  2. 2.Solve: 3t + 21 = 30. What is t?
  3. 3.Kavya’s mother is three times as old as Kavya. Their ages add up to 24 years. How old is Kavya?
  4. 4.Solve: n/9 + 15 = 30. What is n?
  5. 5.Solve: 3n − 20 = 1. What is n?
  6. 6.Solve: 9(t + 6) = 117. What is t?
  7. 7.Solve: 8m − 4 = 52. What is m?
  8. 8.Solve: 2m + 17 = 33. What is m?
  9. 9.Solve: 2x − 4 = 2. What is x?
  10. 10.Solve: 5m + 3 = 53. What is m?
  11. 11.Solve: t/8 + 4 = 16. What is t?
  12. 12.Solve: 6(p + 8) = 96. What is p?
  13. 13.Ananya’s mother is twice as old as Ananya. Their ages add up to 12 years. How old is Ananya?
  14. 14.Solve: 5n − 6 = 14. What is n?
  15. 15.Solve: 5(p + 8) = 45. What is p?
  16. 16.Solve: 7y − 8 = 6. What is y?
  17. 17.Solve: 5t − 4 = 51. What is t?
  18. 18.Solve: 6(p + 6) = 96. What is p?
  19. 19.Solve: 9m − 2 = 7. What is m?
  20. 20.Meera’s mother is four times as old as Meera. Their ages add up to 30 years. How old is Meera?
  21. 21.Solve: x/8 + 19 = 27. What is x?
  22. 22.Arjun’s mother is three times as old as Arjun. Their ages add up to 36 years. How old is Arjun?
  23. 23.Farhan’s mother is four times as old as Farhan. Their ages add up to 35 years. How old is Farhan?
  24. 24.Solve: 8(t + 9) = 192. What is t?
  25. 25.Solve: p/8 + 19 = 34. What is p?
  26. 26.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 55 years. How old is Saanvi?
  27. 27.Pooja thinks of a number, multiplies it by 5 and then adds 4. The result is 19. What is the number?
  28. 28.Nisha’s mother is four times as old as Nisha. Their ages add up to 45 years. How old is Nisha?
  29. 29.Solve: 4(x + 9) = 40. What is x?
  30. 30.Solve: 9p − 103 = 5. What is p?
  31. 31.Solve: p/9 + 8 = 10. What is p?
  32. 32.Solve: 7n − 11 = 94. What is n?
  33. 33.Solve: 2(n + 4) = 24. What is n?
  34. 34.Kabir thinks of a number, multiplies it by 8 and then adds 3. The result is 51. What is the number?
  35. 35.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 35 years. How old is Gurpreet?
  36. 36.Priya is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  37. 37.Solve: 6(p + 9) = 90. What is p?
  38. 38.Solve: 4x + 9 = 57. What is x?
  39. 39.Solve: 5(y + 6) = 35. What is y?
  40. 40.Diya thinks of a number, multiplies it by 3 and then adds 20. The result is 47. What is the number?

Answer key

  1. 1
  2. 3
  3. 6
  4. 135
  5. 7
  6. 7
  7. 7
  8. 8
  9. 3
  10. 10
  11. 96
  12. 8
  13. 4
  14. 4
  15. 1
  16. 2
  17. 11
  18. 10
  19. 1
  20. 6
  21. 64
  22. 9
  23. 7
  24. 15
  25. 120
  26. 11
  27. 3
  28. 9
  29. 1
  30. 12
  31. 18
  32. 15
  33. 8
  34. 6
  35. 7
  36. 9
  37. 6
  38. 12
  39. 1
  40. 9

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