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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 499 · 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: 6m + 5 = 47. What is m?
  2. 2.Solve: 2p + 30 = 38. What is p?
  3. 3.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 30 years. How old is Vivaan?
  4. 4.Aarav thinks of a number, multiplies it by 9 and then adds 7. The result is 52. What is the number?
  5. 5.Solve: 4x − 10 = 30. What is x?
  6. 6.Solve: 7t − 7 = 7. What is t?
  7. 7.Nisha’s mother is three times as old as Nisha. Their ages add up to 40 years. How old is Nisha?
  8. 8.Lakshmi thinks of a number, multiplies it by 8 and then adds 1. The result is 89. What is the number?
  9. 9.Solve: 5n − 8 = 57. What is n?
  10. 10.Solve: 9t − 58 = 41. What is t?
  11. 11.Solve: 3n + 20 = 35. What is n?
  12. 12.Solve: n/4 + 4 = 8. What is n?
  13. 13.Nisha is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  14. 14.Solve: m/3 + 5 = 9. What is m?
  15. 15.Solve: 5p − 11 = 9. What is p?
  16. 16.Solve: 4(y + 6) = 40. What is y?
  17. 17.Lakshmi thinks of a number, multiplies it by 2 and then adds 1. The result is 9. What is the number?
  18. 18.Solve: 9x − 24 = 48. What is x?
  19. 19.Solve: 4p + 7 = 15. What is p?
  20. 20.Solve: 5y − 4 = 1. What is y?
  21. 21.Solve: 8n + 26 = 50. What is n?
  22. 22.Solve: m/2 + 2 = 13. What is m?
  23. 23.Solve: t/3 + 8 = 14. What is t?
  24. 24.Solve: 9n + 20 = 101. What is n?
  25. 25.Isha thinks of a number, multiplies it by 7 and then adds 21. The result is 105. What is the number?
  26. 26.Solve: 6y + 1 = 13. What is y?
  27. 27.Solve: 2y + 26 = 42. What is y?
  28. 28.Solve: 9(y + 1) = 27. What is y?
  29. 29.Solve: n/5 + 6 = 7. What is n?
  30. 30.Solve: y/8 + 4 = 14. What is y?
  31. 31.Solve: n/7 + 1 = 12. What is n?
  32. 32.Karan’s mother is four times as old as Karan. Their ages add up to 75 years. How old is Karan?
  33. 33.Solve: 7(y + 8) = 126. What is y?
  34. 34.Solve: 9p + 16 = 142. What is p?
  35. 35.Solve: 6x + 25 = 97. What is x?
  36. 36.Solve: 2x − 3 = 13. What is x?
  37. 37.Solve: 4x + 2 = 26. What is x?
  38. 38.Solve: 3(y + 7) = 33. What is y?
  39. 39.Solve: 2y + 28 = 30. What is y?
  40. 40.Solve: t/9 + 3 = 9. What is t?

Answer key

  1. 7
  2. 4
  3. 6
  4. 5
  5. 10
  6. 2
  7. 10
  8. 11
  9. 13
  10. 11
  11. 5
  12. 16
  13. 8
  14. 12
  15. 4
  16. 4
  17. 4
  18. 8
  19. 2
  20. 1
  21. 3
  22. 22
  23. 18
  24. 9
  25. 12
  26. 2
  27. 8
  28. 2
  29. 5
  30. 80
  31. 77
  32. 15
  33. 10
  34. 14
  35. 12
  36. 8
  37. 6
  38. 4
  39. 1
  40. 54

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