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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 43 · 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: 4x − 3 = 1. What is x?
  2. 2.Rohan’s mother is three times as old as Rohan. Their ages add up to 48 years. How old is Rohan?
  3. 3.Solve: 2n − 6 = 16. What is n?
  4. 4.Solve: 8p − 29 = 27. What is p?
  5. 5.Ananya thinks of a number, multiplies it by 3 and then adds 18. The result is 21. What is the number?
  6. 6.Solve: 6t − 10 = 38. What is t?
  7. 7.Solve: 8m − 1 = 23. What is m?
  8. 8.Nisha thinks of a number, multiplies it by 7 and then adds 27. The result is 62. What is the number?
  9. 9.Solve: 4(n + 7) = 80. What is n?
  10. 10.Solve: 3(x + 4) = 27. What is x?
  11. 11.Lakshmi thinks of a number, multiplies it by 3 and then adds 5. The result is 29. What is the number?
  12. 12.Solve: 2(m + 5) = 36. What is m?
  13. 13.Solve: 6(p + 6) = 72. What is p?
  14. 14.Rohan is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  15. 15.Solve: 4p − 18 = 18. What is p?
  16. 16.Farhan thinks of a number, multiplies it by 9 and then adds 12. The result is 30. What is the number?
  17. 17.Solve: 3y + 7 = 13. What is y?
  18. 18.Kabir thinks of a number, multiplies it by 7 and then adds 13. The result is 48. What is the number?
  19. 19.Solve: t/8 + 10 = 12. What is t?
  20. 20.Aarav thinks of a number, multiplies it by 9 and then adds 20. The result is 119. What is the number?
  21. 21.Solve: 6p + 7 = 19. What is p?
  22. 22.Solve: 4n − 10 = 2. What is n?
  23. 23.Solve: 9(p + 5) = 162. What is p?
  24. 24.Solve: 5m + 18 = 48. What is m?
  25. 25.Solve: 4(p + 5) = 40. What is p?
  26. 26.Saanvi thinks of a number, multiplies it by 8 and then adds 30. The result is 102. What is the number?
  27. 27.Solve: 2n + 27 = 55. What is n?
  28. 28.Solve: 3(p + 4) = 48. What is p?
  29. 29.Solve: 5p + 3 = 8. What is p?
  30. 30.Sneha thinks of a number, multiplies it by 9 and then adds 18. The result is 153. What is the number?
  31. 31.Solve: 6p − 3 = 21. What is p?
  32. 32.Sneha is 3 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  33. 33.Lakshmi thinks of a number, multiplies it by 3 and then adds 12. The result is 18. What is the number?
  34. 34.Solve: 2(t + 1) = 10. What is t?
  35. 35.Solve: 6(y + 8) = 102. What is y?
  36. 36.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 56 years. How old is Ishaan?
  37. 37.Solve: 5m + 24 = 79. What is m?
  38. 38.Solve: 8t + 16 = 120. What is t?
  39. 39.Solve: 6n + 21 = 33. What is n?
  40. 40.Karan thinks of a number, multiplies it by 7 and then adds 6. The result is 34. What is the number?

Answer key

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

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