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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 464 · 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.Lakshmi thinks of a number, multiplies it by 4 and then adds 10. The result is 58. What is the number?
  2. 2.Solve: 9y − 24 = 3. What is y?
  3. 3.Solve: n/4 + 6 = 21. What is n?
  4. 4.Solve: p/5 + 16 = 24. What is p?
  5. 5.Sneha’s mother is three times as old as Sneha. Their ages add up to 24 years. How old is Sneha?
  6. 6.Solve: 6(m + 6) = 120. What is m?
  7. 7.Solve: 4(p + 6) = 36. What is p?
  8. 8.Solve: t/7 + 9 = 13. What is t?
  9. 9.Solve: 7y + 5 = 110. What is y?
  10. 10.Solve: 5y + 14 = 64. What is y?
  11. 11.Solve: 3x + 18 = 27. What is x?
  12. 12.Kabir’s mother is twice as old as Kabir. Their ages add up to 12 years. How old is Kabir?
  13. 13.Solve: 8(t + 2) = 24. What is t?
  14. 14.Solve: 6(m + 7) = 54. What is m?
  15. 15.Solve: 9m + 27 = 54. What is m?
  16. 16.Solve: 9p + 15 = 150. What is p?
  17. 17.Solve: 9t + 3 = 39. What is t?
  18. 18.Solve: 2m + 6 = 32. What is m?
  19. 19.Vivaan thinks of a number, multiplies it by 4 and then adds 3. The result is 39. What is the number?
  20. 20.Solve: 8x − 4 = 4. What is x?
  21. 21.Solve: 5y − 33 = 7. What is y?
  22. 22.Joseph thinks of a number, multiplies it by 6 and then adds 24. The result is 66. What is the number?
  23. 23.Solve: m/8 + 2 = 17. What is m?
  24. 24.Saanvi is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  25. 25.Solve: 4(t + 5) = 32. What is t?
  26. 26.Diya’s mother is three times as old as Diya. Their ages add up to 52 years. How old is Diya?
  27. 27.Solve: y/9 + 14 = 27. What is y?
  28. 28.Solve: 7x − 46 = 3. What is x?
  29. 29.Ishaan thinks of a number, multiplies it by 6 and then adds 13. The result is 31. What is the number?
  30. 30.Solve: 6m − 14 = 16. What is m?
  31. 31.Zoya thinks of a number, multiplies it by 4 and then adds 1. The result is 49. What is the number?
  32. 32.Solve: y/7 + 4 = 11. What is y?
  33. 33.Vivaan thinks of a number, multiplies it by 8 and then adds 14. The result is 126. What is the number?
  34. 34.Solve: 4n − 14 = 6. What is n?
  35. 35.Solve: 2p − 14 = 14. What is p?
  36. 36.Aarav thinks of a number, multiplies it by 3 and then adds 9. The result is 54. What is the number?
  37. 37.Solve: 6(n + 8) = 66. What is n?
  38. 38.Aditya thinks of a number, multiplies it by 8 and then adds 3. The result is 35. What is the number?
  39. 39.Solve: 8p + 29 = 37. What is p?
  40. 40.Solve: 5(y + 8) = 45. What is y?

Answer key

  1. 12
  2. 3
  3. 60
  4. 40
  5. 6
  6. 14
  7. 3
  8. 28
  9. 15
  10. 10
  11. 3
  12. 4
  13. 1
  14. 2
  15. 3
  16. 15
  17. 4
  18. 13
  19. 9
  20. 1
  21. 8
  22. 7
  23. 120
  24. 5
  25. 3
  26. 13
  27. 117
  28. 7
  29. 3
  30. 5
  31. 12
  32. 49
  33. 14
  34. 5
  35. 14
  36. 15
  37. 3
  38. 4
  39. 1
  40. 1

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