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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 996 · 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: 3x + 28 = 52. What is x?
  2. 2.Vivaan is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  3. 3.Solve: 6m − 27 = 57. What is m?
  4. 4.Solve: n/4 + 4 = 17. What is n?
  5. 5.Solve: 3y + 5 = 41. What is y?
  6. 6.Solve: n/8 + 7 = 22. What is n?
  7. 7.Solve: 7(n + 5) = 105. What is n?
  8. 8.Solve: 4x + 5 = 45. What is x?
  9. 9.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 15 years. How old is Saanvi?
  10. 10.Solve: 8y − 33 = 63. What is y?
  11. 11.Solve: 7t − 5 = 2. What is t?
  12. 12.Saanvi thinks of a number, multiplies it by 2 and then adds 2. The result is 30. What is the number?
  13. 13.Zoya’s mother is twice as old as Zoya. Their ages add up to 12 years. How old is Zoya?
  14. 14.Solve: 6t + 12 = 66. What is t?
  15. 15.Rohan’s mother is twice as old as Rohan. Their ages add up to 45 years. How old is Rohan?
  16. 16.Solve: 5(y + 3) = 30. What is y?
  17. 17.Solve: 4n + 2 = 30. What is n?
  18. 18.Priya is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  19. 19.Dev thinks of a number, multiplies it by 8 and then adds 5. The result is 53. What is the number?
  20. 20.Meera is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  21. 21.Solve: 7n − 13 = 29. What is n?
  22. 22.Karan thinks of a number, multiplies it by 8 and then adds 2. The result is 74. What is the number?
  23. 23.Solve: 6t + 26 = 44. What is t?
  24. 24.Solve: 4(t + 1) = 16. What is t?
  25. 25.Rahul thinks of a number, multiplies it by 5 and then adds 1. The result is 76. What is the number?
  26. 26.Solve: 5y + 16 = 86. What is y?
  27. 27.Solve: 7m + 2 = 16. What is m?
  28. 28.Ishaan thinks of a number, multiplies it by 3 and then adds 20. The result is 50. What is the number?
  29. 29.Diya thinks of a number, multiplies it by 9 and then adds 12. The result is 129. What is the number?
  30. 30.Meera thinks of a number, multiplies it by 2 and then adds 16. The result is 40. What is the number?
  31. 31.Tara thinks of a number, multiplies it by 2 and then adds 20. The result is 50. What is the number?
  32. 32.Karan’s mother is four times as old as Karan. Their ages add up to 30 years. How old is Karan?
  33. 33.Solve: 4(p + 7) = 48. What is p?
  34. 34.Tara is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  35. 35.Zoya thinks of a number, multiplies it by 2 and then adds 23. The result is 49. What is the number?
  36. 36.Solve: 7m + 2 = 37. What is m?
  37. 37.Solve: 6y − 17 = 31. What is y?
  38. 38.Solve: 8(p + 5) = 104. What is p?
  39. 39.Solve: n/7 + 15 = 21. What is n?
  40. 40.Solve: 3n − 6 = 9. What is n?

Answer key

  1. 8
  2. 10
  3. 14
  4. 52
  5. 12
  6. 120
  7. 10
  8. 10
  9. 5
  10. 12
  11. 1
  12. 14
  13. 4
  14. 9
  15. 15
  16. 3
  17. 7
  18. 11
  19. 6
  20. 9
  21. 6
  22. 9
  23. 3
  24. 3
  25. 15
  26. 14
  27. 2
  28. 10
  29. 13
  30. 12
  31. 15
  32. 6
  33. 5
  34. 9
  35. 13
  36. 5
  37. 8
  38. 8
  39. 42
  40. 5

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