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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 405 · 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: 6y − 66 = 18. What is y?
  2. 2.Meera thinks of a number, multiplies it by 7 and then adds 18. The result is 25. What is the number?
  3. 3.Kabir is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  4. 4.Manav is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  5. 5.Solve: t/2 + 20 = 29. What is t?
  6. 6.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 18 years. How old is Ishaan?
  7. 7.Solve: 5(t + 5) = 90. What is t?
  8. 8.Rahul’s mother is three times as old as Rahul. Their ages add up to 48 years. How old is Rahul?
  9. 9.Solve: 4m + 2 = 30. What is m?
  10. 10.Solve: 7(p + 3) = 42. What is p?
  11. 11.Solve: 8m + 12 = 52. What is m?
  12. 12.Solve: 3y − 1 = 17. What is y?
  13. 13.Solve: 3t − 29 = 13. What is t?
  14. 14.Nisha is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  15. 15.Solve: t/7 + 12 = 18. What is t?
  16. 16.Solve: 7m − 72 = 26. What is m?
  17. 17.Solve: 6t − 13 = 29. What is t?
  18. 18.Solve: 3x − 4 = 8. What is x?
  19. 19.Solve: 7(y + 3) = 105. What is y?
  20. 20.Solve: 5n − 10 = 45. What is n?
  21. 21.Zoya’s mother is three times as old as Zoya. Their ages add up to 40 years. How old is Zoya?
  22. 22.Rohan thinks of a number, multiplies it by 4 and then adds 4. The result is 36. What is the number?
  23. 23.Solve: 9(x + 2) = 108. What is x?
  24. 24.Solve: m/5 + 8 = 11. What is m?
  25. 25.Solve: x/8 + 14 = 29. What is x?
  26. 26.Zoya thinks of a number, multiplies it by 6 and then adds 10. The result is 22. What is the number?
  27. 27.Solve: n/3 + 3 = 4. What is n?
  28. 28.Solve: m/9 + 16 = 20. What is m?
  29. 29.Solve: n/6 + 7 = 8. What is n?
  30. 30.Solve: 4(y + 2) = 56. What is y?
  31. 31.Solve: 8(x + 5) = 144. What is x?
  32. 32.Joseph thinks of a number, multiplies it by 2 and then adds 7. The result is 27. What is the number?
  33. 33.Solve: n/2 + 2 = 10. What is n?
  34. 34.Solve: 2(y + 2) = 32. What is y?
  35. 35.Solve: m/4 + 1 = 9. What is m?
  36. 36.Isha thinks of a number, multiplies it by 9 and then adds 27. The result is 54. What is the number?
  37. 37.Solve: 9x − 12 = 51. What is x?
  38. 38.Solve: y/5 + 5 = 12. What is y?
  39. 39.Solve: 3y − 21 = 9. What is y?
  40. 40.Vivaan thinks of a number, multiplies it by 5 and then adds 19. The result is 64. What is the number?

Answer key

  1. 14
  2. 1
  3. 15
  4. 4
  5. 18
  6. 6
  7. 13
  8. 12
  9. 7
  10. 3
  11. 5
  12. 6
  13. 14
  14. 7
  15. 42
  16. 14
  17. 7
  18. 4
  19. 12
  20. 11
  21. 10
  22. 8
  23. 10
  24. 15
  25. 120
  26. 2
  27. 3
  28. 36
  29. 6
  30. 12
  31. 13
  32. 10
  33. 16
  34. 14
  35. 32
  36. 3
  37. 7
  38. 35
  39. 10
  40. 9

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