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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 541 · 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.Dev’s mother is three times as old as Dev. Their ages add up to 36 years. How old is Dev?
  2. 2.Lakshmi thinks of a number, multiplies it by 5 and then adds 29. The result is 69. What is the number?
  3. 3.Solve: x/6 + 12 = 18. What is x?
  4. 4.Solve: 5(p + 8) = 115. What is p?
  5. 5.Aarav thinks of a number, multiplies it by 6 and then adds 19. The result is 85. What is the number?
  6. 6.Solve: 6(x + 1) = 12. What is x?
  7. 7.Solve: 2m + 22 = 40. What is m?
  8. 8.Solve: 2m + 7 = 13. What is m?
  9. 9.Solve: 8(x + 2) = 72. What is x?
  10. 10.Solve: 3(p + 2) = 39. What is p?
  11. 11.Solve: 4(n + 6) = 28. What is n?
  12. 12.Aarav thinks of a number, multiplies it by 7 and then adds 19. The result is 47. What is the number?
  13. 13.Solve: 2x + 10 = 40. What is x?
  14. 14.Solve: 9t + 28 = 136. What is t?
  15. 15.Nisha thinks of a number, multiplies it by 4 and then adds 22. The result is 58. What is the number?
  16. 16.Pooja thinks of a number, multiplies it by 5 and then adds 10. The result is 55. What is the number?
  17. 17.Solve: 4y + 1 = 45. What is y?
  18. 18.Isha is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  19. 19.Solve: 4(m + 7) = 64. What is m?
  20. 20.Solve: 3(t + 3) = 27. What is t?
  21. 21.Solve: 8t + 19 = 59. What is t?
  22. 22.Nisha thinks of a number, multiplies it by 7 and then adds 13. The result is 97. What is the number?
  23. 23.Solve: 4x − 35 = 9. What is x?
  24. 24.Isha’s mother is twice as old as Isha. Their ages add up to 12 years. How old is Isha?
  25. 25.Solve: 7(p + 8) = 112. What is p?
  26. 26.Solve: 4t − 8 = 16. What is t?
  27. 27.Solve: 3(p + 7) = 30. What is p?
  28. 28.Solve: 3x − 8 = 1. What is x?
  29. 29.Solve: 5n + 15 = 20. What is n?
  30. 30.Solve: p/7 + 17 = 19. What is p?
  31. 31.Solve: 7y + 21 = 28. What is y?
  32. 32.Solve: 2p − 1 = 9. What is p?
  33. 33.Kavya thinks of a number, multiplies it by 9 and then adds 9. The result is 90. What is the number?
  34. 34.Farhan is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  35. 35.Solve: 4p + 30 = 74. What is p?
  36. 36.Pooja thinks of a number, multiplies it by 9 and then adds 4. The result is 49. What is the number?
  37. 37.Kabir thinks of a number, multiplies it by 9 and then adds 27. The result is 117. What is the number?
  38. 38.Rohan thinks of a number, multiplies it by 6 and then adds 28. The result is 46. What is the number?
  39. 39.Solve: n/7 + 4 = 6. What is n?
  40. 40.Solve: 7x + 14 = 70. What is x?

Answer key

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

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