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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 148 · 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.Rahul thinks of a number, multiplies it by 6 and then adds 21. The result is 51. What is the number?
  2. 2.Solve: 3y − 1 = 8. What is y?
  3. 3.Solve: 2(y + 5) = 26. What is y?
  4. 4.Solve: m/5 + 17 = 19. What is m?
  5. 5.Solve: 2y − 9 = 17. What is y?
  6. 6.Solve: 5x + 8 = 58. What is x?
  7. 7.Nisha’s mother is three times as old as Nisha. Their ages add up to 44 years. How old is Nisha?
  8. 8.Solve: 7p + 17 = 115. What is p?
  9. 9.Pooja thinks of a number, multiplies it by 9 and then adds 20. The result is 92. What is the number?
  10. 10.Solve: 4p + 3 = 11. What is p?
  11. 11.Isha thinks of a number, multiplies it by 5 and then adds 3. The result is 28. What is the number?
  12. 12.Joseph thinks of a number, multiplies it by 5 and then adds 11. The result is 46. What is the number?
  13. 13.Solve: 8y + 29 = 45. What is y?
  14. 14.Solve: 5p + 29 = 54. What is p?
  15. 15.Solve: 8n − 48 = 48. What is n?
  16. 16.Sneha thinks of a number, multiplies it by 4 and then adds 20. The result is 76. What is the number?
  17. 17.Ishaan is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  18. 18.Solve: p/9 + 11 = 22. What is p?
  19. 19.Arjun thinks of a number, multiplies it by 2 and then adds 10. The result is 20. What is the number?
  20. 20.Nisha is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  21. 21.Solve: 5x + 7 = 12. What is x?
  22. 22.Solve: n/5 + 6 = 12. What is n?
  23. 23.Rahul’s mother is twice as old as Rahul. Their ages add up to 39 years. How old is Rahul?
  24. 24.Kabir’s mother is three times as old as Kabir. Their ages add up to 52 years. How old is Kabir?
  25. 25.Solve: 4t + 14 = 30. What is t?
  26. 26.Solve: 2p + 9 = 31. What is p?
  27. 27.Solve: 9m − 64 = 62. What is m?
  28. 28.Solve: m/3 + 13 = 19. What is m?
  29. 29.Solve: 3p − 19 = 26. What is p?
  30. 30.Solve: y/5 + 13 = 14. What is y?
  31. 31.Solve: 4(y + 1) = 12. What is y?
  32. 32.Solve: 7t + 24 = 52. What is t?
  33. 33.Aarav thinks of a number, multiplies it by 2 and then adds 5. The result is 19. What is the number?
  34. 34.Solve: 5x + 7 = 62. What is x?
  35. 35.Saanvi is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  36. 36.Solve: 5y + 13 = 33. What is y?
  37. 37.Solve: 7(x + 6) = 70. What is x?
  38. 38.Solve: 6t − 43 = 5. What is t?
  39. 39.Solve: 5(m + 2) = 25. What is m?
  40. 40.Solve: 3x + 18 = 24. What is x?

Answer key

  1. 5
  2. 3
  3. 8
  4. 10
  5. 13
  6. 10
  7. 11
  8. 14
  9. 8
  10. 2
  11. 5
  12. 7
  13. 2
  14. 5
  15. 12
  16. 14
  17. 13
  18. 99
  19. 5
  20. 11
  21. 1
  22. 30
  23. 13
  24. 13
  25. 4
  26. 11
  27. 14
  28. 18
  29. 15
  30. 5
  31. 2
  32. 4
  33. 7
  34. 11
  35. 10
  36. 4
  37. 4
  38. 8
  39. 3
  40. 2

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