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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 897 · 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: 3p − 9 = 9. What is p?
  2. 2.Lakshmi thinks of a number, multiplies it by 6 and then adds 9. The result is 63. What is the number?
  3. 3.Solve: 5t + 8 = 28. What is t?
  4. 4.Solve: y/8 + 18 = 31. What is y?
  5. 5.Kavya’s mother is twice as old as Kavya. Their ages add up to 12 years. How old is Kavya?
  6. 6.Solve: 5(m + 1) = 65. What is m?
  7. 7.Solve: 2t − 10 = 2. What is t?
  8. 8.Solve: p/6 + 6 = 10. What is p?
  9. 9.Solve: y/9 + 10 = 24. What is y?
  10. 10.Solve: 2p − 8 = 22. What is p?
  11. 11.Solve: 5m + 17 = 27. What is m?
  12. 12.Farhan thinks of a number, multiplies it by 3 and then adds 10. The result is 19. What is the number?
  13. 13.Solve: 3p − 21 = 3. What is p?
  14. 14.Ananya’s mother is four times as old as Ananya. Their ages add up to 60 years. How old is Ananya?
  15. 15.Solve: 6(m + 6) = 90. What is m?
  16. 16.Solve: 4(m + 8) = 84. What is m?
  17. 17.Solve: 6n + 30 = 96. What is n?
  18. 18.Sneha is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  19. 19.Solve: 4x + 5 = 45. What is x?
  20. 20.Ananya thinks of a number, multiplies it by 3 and then adds 3. The result is 15. What is the number?
  21. 21.Solve: 7y − 9 = 26. What is y?
  22. 22.Solve: 4n − 19 = 37. What is n?
  23. 23.Diya’s mother is three times as old as Diya. Their ages add up to 28 years. How old is Diya?
  24. 24.Solve: 8(p + 8) = 96. What is p?
  25. 25.Saanvi thinks of a number, multiplies it by 3 and then adds 2. The result is 47. What is the number?
  26. 26.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 45 years. How old is Vivaan?
  27. 27.Solve: 6m + 26 = 104. What is m?
  28. 28.Solve: x/7 + 3 = 12. What is x?
  29. 29.Solve: n/8 + 4 = 12. What is n?
  30. 30.Solve: 7y + 24 = 66. What is y?
  31. 31.Rahul’s mother is four times as old as Rahul. Their ages add up to 30 years. How old is Rahul?
  32. 32.Solve: 7y − 1 = 6. What is y?
  33. 33.Solve: 3t + 27 = 36. What is t?
  34. 34.Solve: 4x − 29 = 11. What is x?
  35. 35.Solve: 5p + 4 = 9. What is p?
  36. 36.Solve: 6y + 19 = 55. What is y?
  37. 37.Solve: 8(p + 8) = 80. What is p?
  38. 38.Solve: 9p − 2 = 7. What is p?
  39. 39.Solve: 2(y + 8) = 38. What is y?
  40. 40.Solve: 3m − 11 = 1. What is m?

Answer key

  1. 6
  2. 9
  3. 4
  4. 104
  5. 4
  6. 12
  7. 6
  8. 24
  9. 126
  10. 15
  11. 2
  12. 3
  13. 8
  14. 12
  15. 9
  16. 13
  17. 11
  18. 5
  19. 10
  20. 4
  21. 5
  22. 14
  23. 7
  24. 4
  25. 15
  26. 15
  27. 13
  28. 63
  29. 64
  30. 6
  31. 6
  32. 1
  33. 3
  34. 10
  35. 1
  36. 6
  37. 2
  38. 1
  39. 11
  40. 4

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