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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 494 · 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 thinks of a number, multiplies it by 2 and then adds 7. The result is 15. What is the number?
  2. 2.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 24 years. How old is Gurpreet?
  3. 3.Solve: 2(y + 1) = 14. What is y?
  4. 4.Joseph is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  5. 5.Saanvi is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  6. 6.Farhan’s mother is twice as old as Farhan. Their ages add up to 21 years. How old is Farhan?
  7. 7.Solve: 8t − 38 = 18. What is t?
  8. 8.Solve: 8y − 3 = 13. What is y?
  9. 9.Solve: 3(x + 9) = 39. What is x?
  10. 10.Solve: 6n − 11 = 37. What is n?
  11. 11.Solve: 3x + 8 = 53. What is x?
  12. 12.Solve: m/3 + 18 = 22. What is m?
  13. 13.Tara is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  14. 14.Solve: 5(p + 7) = 80. What is p?
  15. 15.Solve: 8t + 18 = 34. What is t?
  16. 16.Solve: 2x + 22 = 28. What is x?
  17. 17.Vivaan thinks of a number, multiplies it by 4 and then adds 16. The result is 76. What is the number?
  18. 18.Aarav’s mother is three times as old as Aarav. Their ages add up to 60 years. How old is Aarav?
  19. 19.Solve: 3x + 15 = 57. What is x?
  20. 20.Solve: 4x + 2 = 6. What is x?
  21. 21.Solve: 9t + 13 = 94. What is t?
  22. 22.Solve: 5x − 38 = 2. What is x?
  23. 23.Manav thinks of a number, multiplies it by 2 and then adds 7. The result is 17. What is the number?
  24. 24.Solve: 4t − 17 = 27. What is t?
  25. 25.Rahul is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  26. 26.Kavya is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  27. 27.Solve: 3m + 5 = 26. What is m?
  28. 28.Solve: x/3 + 5 = 8. What is x?
  29. 29.Priya is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  30. 30.Solve: 6t + 1 = 67. What is t?
  31. 31.Solve: 7t + 27 = 97. What is t?
  32. 32.Kavya is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  33. 33.Solve: 2(n + 8) = 28. What is n?
  34. 34.Solve: y/7 + 8 = 10. What is y?
  35. 35.Solve: 4(p + 9) = 80. What is p?
  36. 36.Ananya thinks of a number, multiplies it by 3 and then adds 8. The result is 41. What is the number?
  37. 37.Meera thinks of a number, multiplies it by 5 and then adds 4. The result is 49. What is the number?
  38. 38.Meera thinks of a number, multiplies it by 2 and then adds 27. The result is 33. What is the number?
  39. 39.Solve: 5(n + 1) = 60. What is n?
  40. 40.Solve: 5(x + 2) = 30. What is x?

Answer key

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

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