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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 778 · 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.Kabir’s mother is twice as old as Kabir. Their ages add up to 21 years. How old is Kabir?
  2. 2.Vivaan is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  3. 3.Solve: x/5 + 1 = 11. What is x?
  4. 4.Solve: x/9 + 6 = 16. What is x?
  5. 5.Tara thinks of a number, multiplies it by 4 and then adds 5. The result is 9. What is the number?
  6. 6.Solve: 9x + 19 = 154. What is x?
  7. 7.Sneha thinks of a number, multiplies it by 9 and then adds 2. The result is 101. What is the number?
  8. 8.Solve: 8t − 108 = 4. What is t?
  9. 9.Solve: 9p − 92 = 43. What is p?
  10. 10.Solve: 4y + 25 = 45. What is y?
  11. 11.Solve: 7x − 5 = 58. What is x?
  12. 12.Diya thinks of a number, multiplies it by 3 and then adds 23. The result is 41. What is the number?
  13. 13.Solve: 4x − 5 = 7. What is x?
  14. 14.Solve: m/3 + 7 = 8. What is m?
  15. 15.Lakshmi thinks of a number, multiplies it by 3 and then adds 27. The result is 39. What is the number?
  16. 16.Solve: y/4 + 6 = 17. What is y?
  17. 17.Solve: 4t − 42 = 10. What is t?
  18. 18.Solve: 6y + 18 = 60. What is y?
  19. 19.Solve: n/8 + 5 = 10. What is n?
  20. 20.Solve: x/8 + 16 = 29. What is x?
  21. 21.Aditya is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  22. 22.Solve: y/8 + 1 = 6. What is y?
  23. 23.Solve: p/6 + 3 = 12. What is p?
  24. 24.Solve: 3t + 11 = 50. What is t?
  25. 25.Solve: x/5 + 3 = 12. What is x?
  26. 26.Isha thinks of a number, multiplies it by 6 and then adds 30. The result is 102. What is the number?
  27. 27.Solve: y/9 + 7 = 9. What is y?
  28. 28.Solve: 8x + 4 = 108. What is x?
  29. 29.Pooja thinks of a number, multiplies it by 5 and then adds 30. The result is 70. What is the number?
  30. 30.Solve: 7(y + 4) = 112. What is y?
  31. 31.Solve: 3x − 16 = 17. What is x?
  32. 32.Solve: p/9 + 19 = 31. What is p?
  33. 33.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 48 years. How old is Vivaan?
  34. 34.Kavya thinks of a number, multiplies it by 6 and then adds 20. The result is 86. What is the number?
  35. 35.Solve: 9n + 28 = 55. What is n?
  36. 36.Solve: 2m − 7 = 11. What is m?
  37. 37.Kavya is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  38. 38.Solve: 8(n + 8) = 144. What is n?
  39. 39.Solve: 4(y + 2) = 12. What is y?
  40. 40.Priya is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?

Answer key

  1. 7
  2. 7
  3. 50
  4. 90
  5. 1
  6. 15
  7. 11
  8. 14
  9. 15
  10. 5
  11. 9
  12. 6
  13. 3
  14. 3
  15. 4
  16. 44
  17. 13
  18. 7
  19. 40
  20. 104
  21. 8
  22. 40
  23. 54
  24. 13
  25. 45
  26. 12
  27. 18
  28. 13
  29. 8
  30. 12
  31. 11
  32. 108
  33. 12
  34. 11
  35. 3
  36. 9
  37. 4
  38. 10
  39. 1
  40. 11

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