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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 296 · 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: t/2 + 5 = 8. What is t?
  2. 2.Pooja thinks of a number, multiplies it by 8 and then adds 2. The result is 66. What is the number?
  3. 3.Solve: 2y − 25 = 3. What is y?
  4. 4.Dev thinks of a number, multiplies it by 8 and then adds 29. The result is 45. What is the number?
  5. 5.Solve: t/4 + 12 = 23. What is t?
  6. 6.Solve: 8t + 13 = 101. What is t?
  7. 7.Solve: m/6 + 18 = 32. What is m?
  8. 8.Solve: 9m − 83 = 34. What is m?
  9. 9.Aarav thinks of a number, multiplies it by 4 and then adds 20. The result is 24. What is the number?
  10. 10.Solve: 9n + 26 = 44. What is n?
  11. 11.Diya thinks of a number, multiplies it by 3 and then adds 28. The result is 46. What is the number?
  12. 12.Isha thinks of a number, multiplies it by 4 and then adds 14. The result is 18. What is the number?
  13. 13.Solve: 6(x + 8) = 54. What is x?
  14. 14.Solve: 4y + 17 = 65. What is y?
  15. 15.Priya thinks of a number, multiplies it by 3 and then adds 13. The result is 55. What is the number?
  16. 16.Solve: p/7 + 13 = 17. What is p?
  17. 17.Solve: 2m − 18 = 2. What is m?
  18. 18.Solve: 7m − 12 = 23. What is m?
  19. 19.Solve: 9m + 9 = 126. What is m?
  20. 20.Solve: 9x − 30 = 60. What is x?
  21. 21.Tara is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  22. 22.Solve: 5(x + 9) = 90. What is x?
  23. 23.Pooja thinks of a number, multiplies it by 6 and then adds 25. The result is 43. What is the number?
  24. 24.Kabir is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  25. 25.Solve: 3n − 39 = 3. What is n?
  26. 26.Gurpreet thinks of a number, multiplies it by 9 and then adds 26. The result is 143. What is the number?
  27. 27.Solve: 4n + 4 = 60. What is n?
  28. 28.Solve: 9p + 19 = 109. What is p?
  29. 29.Solve: 8(n + 8) = 128. What is n?
  30. 30.Farhan is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  31. 31.Rohan thinks of a number, multiplies it by 7 and then adds 3. The result is 59. What is the number?
  32. 32.Solve: n/3 + 8 = 10. What is n?
  33. 33.Kavya’s mother is twice as old as Kavya. Their ages add up to 33 years. How old is Kavya?
  34. 34.Arjun’s mother is three times as old as Arjun. Their ages add up to 40 years. How old is Arjun?
  35. 35.Farhan thinks of a number, multiplies it by 5 and then adds 18. The result is 58. What is the number?
  36. 36.Solve: 5(t + 2) = 85. What is t?
  37. 37.Rohan is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  38. 38.Vivaan thinks of a number, multiplies it by 3 and then adds 26. The result is 59. What is the number?
  39. 39.Solve: 2y + 6 = 28. What is y?
  40. 40.Joseph is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?

Answer key

  1. 6
  2. 8
  3. 14
  4. 2
  5. 44
  6. 11
  7. 84
  8. 13
  9. 1
  10. 2
  11. 6
  12. 1
  13. 1
  14. 12
  15. 14
  16. 28
  17. 10
  18. 5
  19. 13
  20. 10
  21. 11
  22. 9
  23. 3
  24. 10
  25. 14
  26. 13
  27. 14
  28. 10
  29. 8
  30. 4
  31. 8
  32. 6
  33. 11
  34. 10
  35. 8
  36. 15
  37. 5
  38. 11
  39. 11
  40. 7

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