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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 973 · 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.Riya thinks of a number, multiplies it by 2 and then adds 12. The result is 42. What is the number?
  2. 2.Solve: 8x + 22 = 142. What is x?
  3. 3.Gurpreet thinks of a number, multiplies it by 9 and then adds 3. The result is 57. What is the number?
  4. 4.Solve: 5(x + 4) = 25. What is x?
  5. 5.Solve: n/2 + 1 = 10. What is n?
  6. 6.Isha thinks of a number, multiplies it by 6 and then adds 4. The result is 22. What is the number?
  7. 7.Solve: 6n − 28 = 50. What is n?
  8. 8.Solve: 6y + 11 = 95. What is y?
  9. 9.Rohan’s mother is twice as old as Rohan. Their ages add up to 27 years. How old is Rohan?
  10. 10.Manav is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  11. 11.Solve: 9t − 7 = 2. What is t?
  12. 12.Solve: 8y + 13 = 69. What is y?
  13. 13.Aarav’s mother is three times as old as Aarav. Their ages add up to 36 years. How old is Aarav?
  14. 14.Manav is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  15. 15.Solve: m/4 + 12 = 17. What is m?
  16. 16.Isha is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  17. 17.Isha thinks of a number, multiplies it by 9 and then adds 19. The result is 154. What is the number?
  18. 18.Solve: 8(t + 1) = 128. What is t?
  19. 19.Sneha thinks of a number, multiplies it by 9 and then adds 12. The result is 21. What is the number?
  20. 20.Kabir’s mother is four times as old as Kabir. Their ages add up to 30 years. How old is Kabir?
  21. 21.Solve: 4t + 1 = 49. What is t?
  22. 22.Isha is 4 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  23. 23.Solve: 2y − 1 = 1. What is y?
  24. 24.Solve: n/9 + 1 = 2. What is n?
  25. 25.Kabir is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  26. 26.Solve: 7x + 16 = 100. What is x?
  27. 27.Solve: 8n − 74 = 6. What is n?
  28. 28.Solve: 4p − 3 = 1. What is p?
  29. 29.Solve: 5(x + 1) = 25. What is x?
  30. 30.Solve: 5y − 6 = 4. What is y?
  31. 31.Ananya thinks of a number, multiplies it by 6 and then adds 7. The result is 13. What is the number?
  32. 32.Solve: 7t − 6 = 15. What is t?
  33. 33.Solve: 7y + 10 = 80. What is y?
  34. 34.Rohan is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  35. 35.Solve: y/2 + 3 = 13. What is y?
  36. 36.Solve: 4(p + 9) = 68. What is p?
  37. 37.Solve: 6n − 37 = 17. What is n?
  38. 38.Dev’s mother is twice as old as Dev. Their ages add up to 27 years. How old is Dev?
  39. 39.Saanvi is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  40. 40.Solve: 8x + 16 = 56. What is x?

Answer key

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

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