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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 539 · 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.Farhan is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  2. 2.Solve: 9(p + 6) = 144. What is p?
  3. 3.Solve: 8y − 7 = 9. What is y?
  4. 4.Rohan thinks of a number, multiplies it by 4 and then adds 24. The result is 36. What is the number?
  5. 5.Solve: 3y + 3 = 15. What is y?
  6. 6.Kavya’s mother is three times as old as Kavya. Their ages add up to 40 years. How old is Kavya?
  7. 7.Solve: 2p + 26 = 40. What is p?
  8. 8.Gurpreet is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  9. 9.Solve: 6y + 3 = 21. What is y?
  10. 10.Solve: 6n − 18 = 72. What is n?
  11. 11.Solve: 3x + 15 = 42. What is x?
  12. 12.Solve: y/2 + 1 = 11. What is y?
  13. 13.Solve: p/8 + 4 = 15. What is p?
  14. 14.Solve: 9y − 18 = 9. What is y?
  15. 15.Solve: 6y − 16 = 14. What is y?
  16. 16.Aditya thinks of a number, multiplies it by 3 and then adds 1. The result is 19. What is the number?
  17. 17.Solve: 4p − 3 = 1. What is p?
  18. 18.Solve: 2x + 11 = 17. What is x?
  19. 19.Tara thinks of a number, multiplies it by 7 and then adds 21. The result is 98. What is the number?
  20. 20.Solve: 3(y + 2) = 42. What is y?
  21. 21.Solve: 2(y + 6) = 28. What is y?
  22. 22.Solve: 3y + 15 = 45. What is y?
  23. 23.Solve: 3(y + 9) = 33. What is y?
  24. 24.Solve: 2x − 1 = 1. What is x?
  25. 25.Aarav thinks of a number, multiplies it by 6 and then adds 13. The result is 73. What is the number?
  26. 26.Solve: 8y + 16 = 48. What is y?
  27. 27.Solve: m/6 + 9 = 14. What is m?
  28. 28.Aditya thinks of a number, multiplies it by 2 and then adds 29. The result is 33. What is the number?
  29. 29.Solve: 9y + 24 = 96. What is y?
  30. 30.Ishaan is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  31. 31.Lakshmi thinks of a number, multiplies it by 3 and then adds 11. The result is 20. What is the number?
  32. 32.Solve: y/5 + 2 = 7. What is y?
  33. 33.Solve: t/9 + 8 = 12. What is t?
  34. 34.Saanvi thinks of a number, multiplies it by 7 and then adds 7. The result is 77. What is the number?
  35. 35.Diya is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  36. 36.Zoya is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  37. 37.Solve: 6y − 13 = 5. What is y?
  38. 38.Solve: 4(x + 7) = 76. What is x?
  39. 39.Rahul’s mother is three times as old as Rahul. Their ages add up to 20 years. How old is Rahul?
  40. 40.Riya is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?

Answer key

  1. 13
  2. 10
  3. 2
  4. 3
  5. 4
  6. 10
  7. 7
  8. 5
  9. 3
  10. 15
  11. 9
  12. 20
  13. 88
  14. 3
  15. 5
  16. 6
  17. 1
  18. 3
  19. 11
  20. 12
  21. 8
  22. 10
  23. 2
  24. 1
  25. 10
  26. 4
  27. 30
  28. 2
  29. 8
  30. 8
  31. 3
  32. 25
  33. 36
  34. 10
  35. 6
  36. 4
  37. 3
  38. 12
  39. 5
  40. 15

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