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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 7 · 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.Aditya thinks of a number, multiplies it by 4 and then adds 8. The result is 44. What is the number?
  2. 2.Ishaan thinks of a number, multiplies it by 3 and then adds 1. The result is 46. What is the number?
  3. 3.Tara thinks of a number, multiplies it by 4 and then adds 13. The result is 29. What is the number?
  4. 4.Riya is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  5. 5.Riya is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  6. 6.Solve: x/7 + 15 = 17. What is x?
  7. 7.Solve: n/7 + 11 = 15. What is n?
  8. 8.Solve: 8t + 7 = 95. What is t?
  9. 9.Solve: 7p − 1 = 104. What is p?
  10. 10.Solve: n/6 + 5 = 20. What is n?
  11. 11.Solve: 3p + 13 = 19. What is p?
  12. 12.Zoya is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  13. 13.Solve: y/5 + 20 = 35. What is y?
  14. 14.Karan is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  15. 15.Solve: 7p + 15 = 106. What is p?
  16. 16.Solve: x/9 + 9 = 10. What is x?
  17. 17.Solve: m/3 + 4 = 11. What is m?
  18. 18.Solve: 9(p + 4) = 144. What is p?
  19. 19.Kabir thinks of a number, multiplies it by 9 and then adds 27. The result is 45. What is the number?
  20. 20.Solve: p/7 + 11 = 22. What is p?
  21. 21.Joseph thinks of a number, multiplies it by 9 and then adds 30. The result is 147. What is the number?
  22. 22.Riya is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  23. 23.Solve: 4p + 20 = 36. What is p?
  24. 24.Solve: 8(n + 5) = 112. What is n?
  25. 25.Solve: m/6 + 14 = 28. What is m?
  26. 26.Solve: 4t + 6 = 42. What is t?
  27. 27.Solve: x/6 + 20 = 30. What is x?
  28. 28.Isha thinks of a number, multiplies it by 7 and then adds 23. The result is 65. What is the number?
  29. 29.Solve: 9y + 5 = 59. What is y?
  30. 30.Solve: p/9 + 1 = 12. What is p?
  31. 31.Solve: 5t − 6 = 14. What is t?
  32. 32.Karan thinks of a number, multiplies it by 9 and then adds 8. The result is 80. What is the number?
  33. 33.Gurpreet thinks of a number, multiplies it by 4 and then adds 3. The result is 59. What is the number?
  34. 34.Solve: 5y + 8 = 63. What is y?
  35. 35.Solve: 2x + 30 = 38. What is x?
  36. 36.Pooja thinks of a number, multiplies it by 6 and then adds 26. The result is 104. What is the number?
  37. 37.Saanvi thinks of a number, multiplies it by 2 and then adds 10. The result is 34. What is the number?
  38. 38.Solve: 9x + 27 = 45. What is x?
  39. 39.Joseph thinks of a number, multiplies it by 2 and then adds 22. The result is 32. What is the number?
  40. 40.Solve: 9n + 17 = 143. What is n?

Answer key

  1. 9
  2. 15
  3. 4
  4. 8
  5. 5
  6. 14
  7. 28
  8. 11
  9. 15
  10. 90
  11. 2
  12. 12
  13. 75
  14. 9
  15. 13
  16. 9
  17. 21
  18. 12
  19. 2
  20. 77
  21. 13
  22. 11
  23. 4
  24. 9
  25. 84
  26. 9
  27. 60
  28. 6
  29. 6
  30. 99
  31. 4
  32. 8
  33. 14
  34. 11
  35. 4
  36. 13
  37. 12
  38. 2
  39. 5
  40. 14

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