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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 686 · 40 sums
TalentJR

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: 9p − 68 = 4. What is p?
  2. 2.Solve: y/2 + 2 = 10. What is y?
  3. 3.Solve: y/7 + 8 = 9. What is y?
  4. 4.Solve: 2(x + 7) = 18. What is x?
  5. 5.Solve: 2(t + 4) = 36. What is t?
  6. 6.Rohan is 3 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  7. 7.Solve: 5(x + 1) = 15. What is x?
  8. 8.Solve: x/3 + 5 = 6. What is x?
  9. 9.Diya’s mother is four times as old as Diya. Their ages add up to 60 years. How old is Diya?
  10. 10.Solve: 2(m + 2) = 22. What is m?
  11. 11.Solve: 7m + 4 = 95. What is m?
  12. 12.Solve: 4m + 6 = 58. What is m?
  13. 13.Solve: x/6 + 1 = 15. What is x?
  14. 14.Solve: 7(t + 7) = 77. What is t?
  15. 15.Arjun is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  16. 16.Solve: m/7 + 20 = 33. What is m?
  17. 17.Solve: 5t − 28 = 12. What is t?
  18. 18.Solve: 7t − 33 = 37. What is t?
  19. 19.Kabir thinks of a number, multiplies it by 3 and then adds 24. The result is 48. What is the number?
  20. 20.Solve: 8y + 27 = 99. What is y?
  21. 21.Solve: 4p − 15 = 1. What is p?
  22. 22.Sneha is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  23. 23.Kavya is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  24. 24.Meera is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  25. 25.Karan thinks of a number, multiplies it by 6 and then adds 15. The result is 45. What is the number?
  26. 26.Solve: t/8 + 10 = 25. What is t?
  27. 27.Solve: 8m − 32 = 16. What is m?
  28. 28.Riya’s mother is twice as old as Riya. Their ages add up to 30 years. How old is Riya?
  29. 29.Saanvi thinks of a number, multiplies it by 9 and then adds 11. The result is 74. What is the number?
  30. 30.Meera’s mother is four times as old as Meera. Their ages add up to 70 years. How old is Meera?
  31. 31.Solve: 2(x + 8) = 26. What is x?
  32. 32.Solve: 7(x + 1) = 21. What is x?
  33. 33.Solve: 2p − 1 = 15. What is p?
  34. 34.Nisha thinks of a number, multiplies it by 4 and then adds 23. The result is 63. What is the number?
  35. 35.Solve: 5n + 29 = 39. What is n?
  36. 36.Aarav thinks of a number, multiplies it by 4 and then adds 22. The result is 82. What is the number?
  37. 37.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 25 years. How old is Vivaan?
  38. 38.Aditya’s mother is twice as old as Aditya. Their ages add up to 33 years. How old is Aditya?
  39. 39.Diya thinks of a number, multiplies it by 8 and then adds 10. The result is 26. What is the number?
  40. 40.Solve: 6m − 31 = 59. What is m?

Answer key

  1. 8
  2. 16
  3. 7
  4. 2
  5. 14
  6. 9
  7. 2
  8. 3
  9. 12
  10. 9
  11. 13
  12. 13
  13. 84
  14. 4
  15. 11
  16. 91
  17. 8
  18. 10
  19. 8
  20. 9
  21. 4
  22. 11
  23. 8
  24. 13
  25. 5
  26. 120
  27. 6
  28. 10
  29. 7
  30. 14
  31. 5
  32. 2
  33. 8
  34. 10
  35. 2
  36. 15
  37. 5
  38. 11
  39. 2
  40. 15

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