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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 839 · 40 sums
TalentJR

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: 2p − 4 = 8. What is p?
  2. 2.Solve: 2m + 7 = 15. What is m?
  3. 3.Solve: 5n + 8 = 48. What is n?
  4. 4.Solve: 7(y + 5) = 70. What is y?
  5. 5.Solve: 4(x + 2) = 60. What is x?
  6. 6.Solve: m/4 + 20 = 27. What is m?
  7. 7.Solve: 2m + 7 = 27. What is m?
  8. 8.Solve: 9t + 28 = 163. What is t?
  9. 9.Solve: 5p − 11 = 19. What is p?
  10. 10.Kavya’s mother is three times as old as Kavya. Their ages add up to 16 years. How old is Kavya?
  11. 11.Manav is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  12. 12.Joseph’s mother is four times as old as Joseph. Their ages add up to 20 years. How old is Joseph?
  13. 13.Aditya thinks of a number, multiplies it by 2 and then adds 1. The result is 31. What is the number?
  14. 14.Kavya thinks of a number, multiplies it by 4 and then adds 20. The result is 60. What is the number?
  15. 15.Solve: y/5 + 19 = 21. What is y?
  16. 16.Arjun thinks of a number, multiplies it by 4 and then adds 2. The result is 6. What is the number?
  17. 17.Solve: 7n − 86 = 5. What is n?
  18. 18.Solve: 8(p + 7) = 136. What is p?
  19. 19.Solve: 3m + 24 = 57. What is m?
  20. 20.Solve: p/4 + 11 = 13. What is p?
  21. 21.Solve: 9(n + 7) = 72. What is n?
  22. 22.Solve: 8p − 63 = 57. What is p?
  23. 23.Solve: 3m + 13 = 37. What is m?
  24. 24.Solve: 6x − 34 = 44. What is x?
  25. 25.Solve: 5y − 6 = 14. What is y?
  26. 26.Pooja thinks of a number, multiplies it by 4 and then adds 14. The result is 34. What is the number?
  27. 27.Solve: p/2 + 15 = 16. What is p?
  28. 28.Solve: x/5 + 2 = 3. What is x?
  29. 29.Solve: 3n + 14 = 56. What is n?
  30. 30.Solve: 7x + 1 = 36. What is x?
  31. 31.Solve: p/7 + 12 = 14. What is p?
  32. 32.Ishaan thinks of a number, multiplies it by 2 and then adds 17. The result is 27. What is the number?
  33. 33.Riya thinks of a number, multiplies it by 5 and then adds 3. The result is 73. What is the number?
  34. 34.Solve: 7n − 5 = 58. What is n?
  35. 35.Solve: 8(m + 5) = 128. What is m?
  36. 36.Solve: 5x − 7 = 3. What is x?
  37. 37.Solve: 4(n + 9) = 40. What is n?
  38. 38.Kabir’s mother is three times as old as Kabir. Their ages add up to 36 years. How old is Kabir?
  39. 39.Arjun thinks of a number, multiplies it by 2 and then adds 4. The result is 6. What is the number?
  40. 40.Solve: 5x − 54 = 1. What is x?

Answer key

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

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