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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 109 · 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.Kabir thinks of a number, multiplies it by 6 and then adds 22. The result is 52. What is the number?
  2. 2.Farhan thinks of a number, multiplies it by 4 and then adds 11. The result is 47. What is the number?
  3. 3.Saanvi thinks of a number, multiplies it by 2 and then adds 25. The result is 39. What is the number?
  4. 4.Solve: m/7 + 5 = 20. What is m?
  5. 5.Solve: p/7 + 11 = 15. What is p?
  6. 6.Arjun thinks of a number, multiplies it by 3 and then adds 27. The result is 42. What is the number?
  7. 7.Vivaan thinks of a number, multiplies it by 2 and then adds 15. The result is 23. What is the number?
  8. 8.Solve: 2x − 9 = 21. What is x?
  9. 9.Solve: 3y − 16 = 5. What is y?
  10. 10.Isha thinks of a number, multiplies it by 3 and then adds 3. The result is 6. What is the number?
  11. 11.Solve: 4p + 2 = 50. What is p?
  12. 12.Solve: 6(y + 2) = 48. What is y?
  13. 13.Solve: 7x + 17 = 122. What is x?
  14. 14.Solve: 3m + 4 = 13. What is m?
  15. 15.Solve: y/2 + 5 = 9. What is y?
  16. 16.Solve: t/9 + 8 = 21. What is t?
  17. 17.Solve: 8t + 7 = 127. What is t?
  18. 18.Joseph’s mother is three times as old as Joseph. Their ages add up to 16 years. How old is Joseph?
  19. 19.Diya thinks of a number, multiplies it by 3 and then adds 10. The result is 43. What is the number?
  20. 20.Solve: 9p + 5 = 32. What is p?
  21. 21.Solve: x/5 + 1 = 5. What is x?
  22. 22.Solve: 4t + 13 = 25. What is t?
  23. 23.Solve: 7(n + 9) = 84. What is n?
  24. 24.Solve: m/2 + 13 = 15. What is m?
  25. 25.Solve: 3y − 1 = 26. What is y?
  26. 26.Rahul is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  27. 27.Solve: 4m + 19 = 79. What is m?
  28. 28.Farhan thinks of a number, multiplies it by 5 and then adds 5. The result is 70. What is the number?
  29. 29.Solve: t/2 + 16 = 26. What is t?
  30. 30.Solve: 4n − 32 = 16. What is n?
  31. 31.Kavya thinks of a number, multiplies it by 6 and then adds 6. The result is 66. What is the number?
  32. 32.Ananya is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  33. 33.Solve: 5t − 12 = 13. What is t?
  34. 34.Solve: 5(m + 8) = 110. What is m?
  35. 35.Solve: n/7 + 11 = 15. What is n?
  36. 36.Solve: 2y + 18 = 34. What is y?
  37. 37.Solve: 5x + 11 = 21. What is x?
  38. 38.Pooja’s mother is four times as old as Pooja. Their ages add up to 40 years. How old is Pooja?
  39. 39.Solve: t/3 + 3 = 18. What is t?
  40. 40.Solve: n/9 + 7 = 8. What is n?

Answer key

  1. 5
  2. 9
  3. 7
  4. 105
  5. 28
  6. 5
  7. 4
  8. 15
  9. 7
  10. 1
  11. 12
  12. 6
  13. 15
  14. 3
  15. 8
  16. 117
  17. 15
  18. 4
  19. 11
  20. 3
  21. 20
  22. 3
  23. 3
  24. 4
  25. 9
  26. 6
  27. 15
  28. 13
  29. 20
  30. 12
  31. 10
  32. 5
  33. 5
  34. 14
  35. 28
  36. 8
  37. 2
  38. 8
  39. 45
  40. 9

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