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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 744 · 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: 8t + 2 = 90. What is t?
  2. 2.Solve: 2p − 16 = 8. What is p?
  3. 3.Solve: y/7 + 1 = 7. What is y?
  4. 4.Solve: 8m + 11 = 51. What is m?
  5. 5.Solve: 6y − 4 = 8. What is y?
  6. 6.Dev’s mother is four times as old as Dev. Their ages add up to 60 years. How old is Dev?
  7. 7.Solve: 7x − 4 = 59. What is x?
  8. 8.Solve: 7n − 53 = 3. What is n?
  9. 9.Kavya’s mother is three times as old as Kavya. Their ages add up to 28 years. How old is Kavya?
  10. 10.Solve: 8(p + 5) = 80. What is p?
  11. 11.Solve: 7y + 8 = 43. What is y?
  12. 12.Rahul’s mother is twice as old as Rahul. Their ages add up to 42 years. How old is Rahul?
  13. 13.Solve: 3p + 22 = 52. What is p?
  14. 14.Solve: 6p − 21 = 63. What is p?
  15. 15.Karan’s mother is twice as old as Karan. Their ages add up to 21 years. How old is Karan?
  16. 16.Solve: 5x − 43 = 32. What is x?
  17. 17.Kavya thinks of a number, multiplies it by 5 and then adds 8. The result is 18. What is the number?
  18. 18.Solve: t/4 + 1 = 10. What is t?
  19. 19.Solve: 3(x + 2) = 21. What is x?
  20. 20.Solve: t/4 + 1 = 12. What is t?
  21. 21.Solve: p/5 + 18 = 32. What is p?
  22. 22.Solve: 6x − 57 = 9. What is x?
  23. 23.Solve: 8(y + 7) = 112. What is y?
  24. 24.Solve: 5m − 69 = 1. What is m?
  25. 25.Solve: 6t + 15 = 105. What is t?
  26. 26.Kavya is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  27. 27.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 18 years. How old is Vivaan?
  28. 28.Solve: 8x + 13 = 117. What is x?
  29. 29.Pooja thinks of a number, multiplies it by 2 and then adds 18. The result is 30. What is the number?
  30. 30.Solve: 3(p + 5) = 48. What is p?
  31. 31.Solve: 9t − 1 = 53. What is t?
  32. 32.Solve: 5x − 30 = 40. What is x?
  33. 33.Solve: 9(y + 1) = 117. What is y?
  34. 34.Solve: x/5 + 11 = 25. What is x?
  35. 35.Solve: 4y − 1 = 3. What is y?
  36. 36.Karan thinks of a number, multiplies it by 7 and then adds 1. The result is 106. What is the number?
  37. 37.Aditya thinks of a number, multiplies it by 8 and then adds 7. The result is 31. What is the number?
  38. 38.Solve: 4y − 13 = 19. What is y?
  39. 39.Tara thinks of a number, multiplies it by 7 and then adds 5. The result is 19. What is the number?
  40. 40.Solve: 7m + 13 = 55. What is m?

Answer key

  1. 11
  2. 12
  3. 42
  4. 5
  5. 2
  6. 12
  7. 9
  8. 8
  9. 7
  10. 5
  11. 5
  12. 14
  13. 10
  14. 14
  15. 7
  16. 15
  17. 2
  18. 36
  19. 5
  20. 44
  21. 70
  22. 11
  23. 7
  24. 14
  25. 15
  26. 8
  27. 6
  28. 13
  29. 6
  30. 11
  31. 6
  32. 14
  33. 12
  34. 70
  35. 1
  36. 15
  37. 3
  38. 8
  39. 2
  40. 6

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