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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 224 · 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: 8y + 8 = 104. What is y?
  2. 2.Solve: 8(y + 8) = 104. What is y?
  3. 3.Solve: 3x − 1 = 8. What is x?
  4. 4.Aditya is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  5. 5.Solve: 3(n + 3) = 21. What is n?
  6. 6.Solve: 8(t + 5) = 144. What is t?
  7. 7.Solve: 8(x + 1) = 128. What is x?
  8. 8.Solve: 5m − 1 = 34. What is m?
  9. 9.Dev thinks of a number, multiplies it by 2 and then adds 22. The result is 52. What is the number?
  10. 10.Solve: t/6 + 5 = 9. What is t?
  11. 11.Solve: 3p + 13 = 49. What is p?
  12. 12.Nisha is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  13. 13.Aditya’s mother is twice as old as Aditya. Their ages add up to 21 years. How old is Aditya?
  14. 14.Manav thinks of a number, multiplies it by 2 and then adds 7. The result is 27. What is the number?
  15. 15.Diya’s mother is three times as old as Diya. Their ages add up to 16 years. How old is Diya?
  16. 16.Arjun thinks of a number, multiplies it by 2 and then adds 2. The result is 18. What is the number?
  17. 17.Solve: 9y − 13 = 86. What is y?
  18. 18.Solve: 9x + 5 = 86. What is x?
  19. 19.Kavya thinks of a number, multiplies it by 3 and then adds 21. The result is 54. What is the number?
  20. 20.Solve: 7(y + 5) = 119. What is y?
  21. 21.Solve: 4t + 1 = 41. What is t?
  22. 22.Meera thinks of a number, multiplies it by 2 and then adds 1. The result is 21. What is the number?
  23. 23.Solve: 2n − 5 = 13. What is n?
  24. 24.Vivaan thinks of a number, multiplies it by 8 and then adds 30. The result is 54. What is the number?
  25. 25.Solve: 5(n + 9) = 105. What is n?
  26. 26.Solve: 6(p + 6) = 114. What is p?
  27. 27.Zoya is 4 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  28. 28.Solve: 3n + 6 = 51. What is n?
  29. 29.Solve: 4t + 8 = 40. What is t?
  30. 30.Solve: 5y + 3 = 43. What is y?
  31. 31.Solve: 5n − 20 = 55. What is n?
  32. 32.Gurpreet thinks of a number, multiplies it by 3 and then adds 27. The result is 42. What is the number?
  33. 33.Karan is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  34. 34.Solve: n/9 + 8 = 23. What is n?
  35. 35.Solve: 4m − 3 = 53. What is m?
  36. 36.Priya is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  37. 37.Manav is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  38. 38.Solve: 9(t + 8) = 189. What is t?
  39. 39.Solve: 6(n + 7) = 108. What is n?
  40. 40.Solve: 4x + 20 = 52. What is x?

Answer key

  1. 12
  2. 5
  3. 3
  4. 7
  5. 4
  6. 13
  7. 15
  8. 7
  9. 15
  10. 24
  11. 12
  12. 12
  13. 7
  14. 10
  15. 4
  16. 8
  17. 11
  18. 9
  19. 11
  20. 12
  21. 10
  22. 10
  23. 9
  24. 3
  25. 12
  26. 13
  27. 12
  28. 15
  29. 8
  30. 8
  31. 15
  32. 5
  33. 8
  34. 135
  35. 14
  36. 9
  37. 8
  38. 13
  39. 11
  40. 8

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