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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 578 · 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: 5p − 8 = 62. What is p?
  2. 2.Nisha thinks of a number, multiplies it by 7 and then adds 12. The result is 40. What is the number?
  3. 3.Solve: 5y + 3 = 13. What is y?
  4. 4.Solve: 2(t + 9) = 28. What is t?
  5. 5.Ishaan thinks of a number, multiplies it by 2 and then adds 26. The result is 46. What is the number?
  6. 6.Solve: x/2 + 3 = 10. What is x?
  7. 7.Solve: 8(n + 8) = 96. What is n?
  8. 8.Solve: 4y + 10 = 26. What is y?
  9. 9.Dev’s mother is twice as old as Dev. Their ages add up to 36 years. How old is Dev?
  10. 10.Solve: x/7 + 15 = 26. What is x?
  11. 11.Pooja is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  12. 12.Isha thinks of a number, multiplies it by 4 and then adds 17. The result is 25. What is the number?
  13. 13.Pooja thinks of a number, multiplies it by 2 and then adds 5. The result is 15. What is the number?
  14. 14.Pooja’s mother is three times as old as Pooja. Their ages add up to 24 years. How old is Pooja?
  15. 15.Solve: 9(x + 2) = 36. What is x?
  16. 16.Solve: y/2 + 12 = 18. What is y?
  17. 17.Solve: 3x − 8 = 1. What is x?
  18. 18.Solve: 7p − 48 = 22. What is p?
  19. 19.Solve: 9(x + 2) = 126. What is x?
  20. 20.Sneha is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  21. 21.Vivaan thinks of a number, multiplies it by 3 and then adds 30. The result is 51. What is the number?
  22. 22.Ishaan thinks of a number, multiplies it by 2 and then adds 12. The result is 34. What is the number?
  23. 23.Solve: 3(y + 5) = 54. What is y?
  24. 24.Solve: 7t − 31 = 39. What is t?
  25. 25.Pooja’s mother is twice as old as Pooja. Their ages add up to 27 years. How old is Pooja?
  26. 26.Solve: 3n + 13 = 25. What is n?
  27. 27.Solve: 7y + 26 = 96. What is y?
  28. 28.Meera is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  29. 29.Solve: y/6 + 4 = 19. What is y?
  30. 30.Solve: x/6 + 16 = 24. What is x?
  31. 31.Joseph thinks of a number, multiplies it by 3 and then adds 10. The result is 52. What is the number?
  32. 32.Rohan thinks of a number, multiplies it by 6 and then adds 9. The result is 63. What is the number?
  33. 33.Solve: 9(y + 6) = 99. What is y?
  34. 34.Solve: 7x − 6 = 8. What is x?
  35. 35.Solve: 2t − 5 = 7. What is t?
  36. 36.Solve: x/3 + 20 = 31. What is x?
  37. 37.Solve: p/8 + 5 = 10. What is p?
  38. 38.Solve: 8y + 30 = 94. What is y?
  39. 39.Solve: x/4 + 6 = 11. What is x?
  40. 40.Solve: y/5 + 3 = 16. What is y?

Answer key

  1. 14
  2. 4
  3. 2
  4. 5
  5. 10
  6. 14
  7. 4
  8. 4
  9. 12
  10. 77
  11. 13
  12. 2
  13. 5
  14. 6
  15. 2
  16. 12
  17. 3
  18. 10
  19. 12
  20. 4
  21. 7
  22. 11
  23. 13
  24. 10
  25. 9
  26. 4
  27. 10
  28. 12
  29. 90
  30. 48
  31. 14
  32. 9
  33. 5
  34. 2
  35. 6
  36. 33
  37. 40
  38. 8
  39. 20
  40. 65

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