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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 115 · 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.Farhan thinks of a number, multiplies it by 9 and then adds 17. The result is 107. What is the number?
  2. 2.Solve: 6(x + 2) = 90. What is x?
  3. 3.Solve: 8m − 7 = 25. What is m?
  4. 4.Solve: 8n + 7 = 87. What is n?
  5. 5.Solve: 6(y + 4) = 54. What is y?
  6. 6.Solve: 2(p + 6) = 40. What is p?
  7. 7.Solve: 2(p + 9) = 28. What is p?
  8. 8.Solve: m/4 + 8 = 17. What is m?
  9. 9.Diya thinks of a number, multiplies it by 5 and then adds 1. The result is 46. What is the number?
  10. 10.Sneha’s mother is four times as old as Sneha. Their ages add up to 30 years. How old is Sneha?
  11. 11.Solve: 5(n + 3) = 25. What is n?
  12. 12.Solve: 8(t + 5) = 128. What is t?
  13. 13.Solve: 6(x + 5) = 78. What is x?
  14. 14.Aarav’s mother is twice as old as Aarav. Their ages add up to 21 years. How old is Aarav?
  15. 15.Solve: 3n − 16 = 26. What is n?
  16. 16.Solve: y/6 + 5 = 10. What is y?
  17. 17.Aditya is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  18. 18.Solve: 6t − 3 = 69. What is t?
  19. 19.Solve: 8y − 40 = 24. What is y?
  20. 20.Solve: 5y + 21 = 71. What is y?
  21. 21.Solve: 5x − 20 = 30. What is x?
  22. 22.Kabir thinks of a number, multiplies it by 7 and then adds 2. The result is 23. What is the number?
  23. 23.Solve: 3m − 1 = 2. What is m?
  24. 24.Solve: m/5 + 7 = 9. What is m?
  25. 25.Solve: 5t − 19 = 1. What is t?
  26. 26.Solve: 6(n + 5) = 54. What is n?
  27. 27.Solve: 4(n + 7) = 80. What is n?
  28. 28.Isha’s mother is twice as old as Isha. Their ages add up to 42 years. How old is Isha?
  29. 29.Nisha thinks of a number, multiplies it by 3 and then adds 30. The result is 42. What is the number?
  30. 30.Solve: m/9 + 10 = 12. What is m?
  31. 31.Kabir thinks of a number, multiplies it by 9 and then adds 5. The result is 68. What is the number?
  32. 32.Solve: 6y − 8 = 82. What is y?
  33. 33.Solve: 6(t + 8) = 90. What is t?
  34. 34.Solve: p/6 + 18 = 27. What is p?
  35. 35.Solve: 4p − 12 = 48. What is p?
  36. 36.Solve: x/6 + 18 = 23. What is x?
  37. 37.Joseph thinks of a number, multiplies it by 2 and then adds 20. The result is 22. What is the number?
  38. 38.Solve: 9t + 3 = 75. What is t?
  39. 39.Sneha thinks of a number, multiplies it by 3 and then adds 12. The result is 24. What is the number?
  40. 40.Solve: 8(p + 3) = 112. What is p?

Answer key

  1. 10
  2. 13
  3. 4
  4. 10
  5. 5
  6. 14
  7. 5
  8. 36
  9. 9
  10. 6
  11. 2
  12. 11
  13. 8
  14. 7
  15. 14
  16. 30
  17. 10
  18. 12
  19. 8
  20. 10
  21. 10
  22. 3
  23. 1
  24. 10
  25. 4
  26. 4
  27. 13
  28. 14
  29. 4
  30. 18
  31. 7
  32. 15
  33. 7
  34. 54
  35. 15
  36. 30
  37. 1
  38. 8
  39. 4
  40. 11

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