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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 500 · 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: 2(y + 8) = 26. What is y?
  2. 2.Solve: 3(y + 9) = 63. What is y?
  3. 3.Riya thinks of a number, multiplies it by 6 and then adds 9. The result is 33. What is the number?
  4. 4.Solve: 5(y + 5) = 45. What is y?
  5. 5.Isha thinks of a number, multiplies it by 9 and then adds 6. The result is 15. What is the number?
  6. 6.Solve: 8t − 17 = 15. What is t?
  7. 7.Pooja is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  8. 8.Kabir’s mother is twice as old as Kabir. Their ages add up to 45 years. How old is Kabir?
  9. 9.Solve: 6y − 2 = 10. What is y?
  10. 10.Solve: 3p + 13 = 37. What is p?
  11. 11.Solve: 9(m + 2) = 27. What is m?
  12. 12.Solve: x/6 + 9 = 23. What is x?
  13. 13.Solve: 9p − 74 = 7. What is p?
  14. 14.Solve: 9(n + 4) = 81. What is n?
  15. 15.Solve: t/8 + 10 = 12. What is t?
  16. 16.Solve: y/2 + 6 = 19. What is y?
  17. 17.Solve: 9t − 78 = 21. What is t?
  18. 18.Farhan thinks of a number, multiplies it by 6 and then adds 23. The result is 59. What is the number?
  19. 19.Solve: 3x − 17 = 10. What is x?
  20. 20.Solve: 2y + 25 = 29. What is y?
  21. 21.Solve: 2x − 9 = 3. What is x?
  22. 22.Solve: p/7 + 8 = 18. What is p?
  23. 23.Nisha’s mother is four times as old as Nisha. Their ages add up to 70 years. How old is Nisha?
  24. 24.Solve: 3(x + 1) = 15. What is x?
  25. 25.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 40 years. How old is Ishaan?
  26. 26.Sneha is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  27. 27.Solve: 6p + 1 = 79. What is p?
  28. 28.Solve: 6p − 54 = 24. What is p?
  29. 29.Solve: 7x + 7 = 14. What is x?
  30. 30.Solve: 2(n + 1) = 28. What is n?
  31. 31.Dev is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  32. 32.Solve: 6p − 2 = 4. What is p?
  33. 33.Saanvi thinks of a number, multiplies it by 6 and then adds 10. The result is 82. What is the number?
  34. 34.Solve: 3p − 25 = 2. What is p?
  35. 35.Solve: 8x + 7 = 23. What is x?
  36. 36.Meera’s mother is twice as old as Meera. Their ages add up to 18 years. How old is Meera?
  37. 37.Aditya is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  38. 38.Priya is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  39. 39.Solve: t/3 + 8 = 16. What is t?
  40. 40.Solve: 7n + 22 = 78. What is n?

Answer key

  1. 5
  2. 12
  3. 4
  4. 4
  5. 1
  6. 4
  7. 9
  8. 15
  9. 2
  10. 8
  11. 1
  12. 84
  13. 9
  14. 5
  15. 16
  16. 26
  17. 11
  18. 6
  19. 9
  20. 2
  21. 6
  22. 70
  23. 14
  24. 4
  25. 8
  26. 4
  27. 13
  28. 13
  29. 1
  30. 13
  31. 5
  32. 1
  33. 12
  34. 9
  35. 2
  36. 6
  37. 4
  38. 6
  39. 24
  40. 8

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