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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 864 · 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’s mother is twice as old as Kabir. Their ages add up to 30 years. How old is Kabir?
  2. 2.Solve: 8(n + 3) = 80. What is n?
  3. 3.Solve: 8y + 25 = 65. What is y?
  4. 4.Solve: 2n + 12 = 24. What is n?
  5. 5.Sneha is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  6. 6.Solve: 6x + 1 = 37. What is x?
  7. 7.Tara’s mother is four times as old as Tara. Their ages add up to 25 years. How old is Tara?
  8. 8.Kavya’s mother is twice as old as Kavya. Their ages add up to 45 years. How old is Kavya?
  9. 9.Karan thinks of a number, multiplies it by 9 and then adds 23. The result is 41. What is the number?
  10. 10.Zoya’s mother is four times as old as Zoya. Their ages add up to 35 years. How old is Zoya?
  11. 11.Priya’s mother is four times as old as Priya. Their ages add up to 45 years. How old is Priya?
  12. 12.Arjun is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  13. 13.Solve: 9m + 17 = 125. What is m?
  14. 14.Nisha thinks of a number, multiplies it by 7 and then adds 15. The result is 43. What is the number?
  15. 15.Solve: 4x + 6 = 38. What is x?
  16. 16.Solve: n/4 + 2 = 13. What is n?
  17. 17.Solve: 9x − 76 = 32. What is x?
  18. 18.Solve: 5n + 13 = 63. What is n?
  19. 19.Solve: 3t − 7 = 20. What is t?
  20. 20.Vivaan thinks of a number, multiplies it by 5 and then adds 9. The result is 29. What is the number?
  21. 21.Priya thinks of a number, multiplies it by 2 and then adds 6. The result is 10. What is the number?
  22. 22.Solve: 2x + 25 = 51. What is x?
  23. 23.Kavya’s mother is twice as old as Kavya. Their ages add up to 42 years. How old is Kavya?
  24. 24.Ishaan is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  25. 25.Solve: 2p + 15 = 27. What is p?
  26. 26.Ananya thinks of a number, multiplies it by 2 and then adds 2. The result is 22. What is the number?
  27. 27.Rohan’s mother is three times as old as Rohan. Their ages add up to 28 years. How old is Rohan?
  28. 28.Solve: 8p − 27 = 29. What is p?
  29. 29.Solve: 2n − 2 = 10. What is n?
  30. 30.Solve: 3(x + 8) = 60. What is x?
  31. 31.Solve: 5x − 35 = 25. What is x?
  32. 32.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 55 years. How old is Gurpreet?
  33. 33.Solve: 3x + 1 = 40. What is x?
  34. 34.Solve: 6(x + 4) = 48. What is x?
  35. 35.Solve: 2y − 11 = 15. What is y?
  36. 36.Solve: 8(t + 2) = 96. What is t?
  37. 37.Solve: y/9 + 10 = 24. What is y?
  38. 38.Solve: 7t + 26 = 40. What is t?
  39. 39.Rohan is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  40. 40.Solve: 7y − 22 = 13. What is y?

Answer key

  1. 10
  2. 7
  3. 5
  4. 6
  5. 6
  6. 6
  7. 5
  8. 15
  9. 2
  10. 7
  11. 9
  12. 5
  13. 12
  14. 4
  15. 8
  16. 44
  17. 12
  18. 10
  19. 9
  20. 4
  21. 2
  22. 13
  23. 14
  24. 7
  25. 6
  26. 10
  27. 7
  28. 7
  29. 6
  30. 12
  31. 12
  32. 11
  33. 13
  34. 4
  35. 13
  36. 10
  37. 126
  38. 2
  39. 10
  40. 5

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