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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 526 · 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.Aarav is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  2. 2.Solve: 3x − 4 = 26. What is x?
  3. 3.Solve: 3x − 11 = 1. What is x?
  4. 4.Solve: 6(n + 2) = 78. What is n?
  5. 5.Joseph thinks of a number, multiplies it by 6 and then adds 10. The result is 58. What is the number?
  6. 6.Joseph is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  7. 7.Rohan thinks of a number, multiplies it by 5 and then adds 9. The result is 19. What is the number?
  8. 8.Joseph thinks of a number, multiplies it by 8 and then adds 19. The result is 91. What is the number?
  9. 9.Solve: 5n + 3 = 68. What is n?
  10. 10.Solve: 7(m + 9) = 133. What is m?
  11. 11.Solve: 3y + 2 = 47. What is y?
  12. 12.Solve: 4y − 5 = 31. What is y?
  13. 13.Solve: 7(p + 7) = 70. What is p?
  14. 14.Solve: 8m + 25 = 105. What is m?
  15. 15.Solve: 2x − 3 = 11. What is x?
  16. 16.Rahul’s mother is three times as old as Rahul. Their ages add up to 52 years. How old is Rahul?
  17. 17.Solve: 7x − 11 = 3. What is x?
  18. 18.Solve: 7m + 18 = 25. What is m?
  19. 19.Solve: 3y + 13 = 19. What is y?
  20. 20.Solve: 2n + 5 = 15. What is n?
  21. 21.Solve: 9y − 51 = 57. What is y?
  22. 22.Nisha is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  23. 23.Solve: n/2 + 8 = 14. What is n?
  24. 24.Rohan thinks of a number, multiplies it by 5 and then adds 30. The result is 75. What is the number?
  25. 25.Solve: 5m − 12 = 43. What is m?
  26. 26.Solve: 4(p + 4) = 40. What is p?
  27. 27.Solve: 3(m + 7) = 30. What is m?
  28. 28.Isha is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  29. 29.Riya thinks of a number, multiplies it by 3 and then adds 5. The result is 8. What is the number?
  30. 30.Rohan thinks of a number, multiplies it by 8 and then adds 17. The result is 121. What is the number?
  31. 31.Ananya’s mother is twice as old as Ananya. Their ages add up to 21 years. How old is Ananya?
  32. 32.Aditya thinks of a number, multiplies it by 5 and then adds 6. The result is 66. What is the number?
  33. 33.Solve: 4x + 24 = 60. What is x?
  34. 34.Solve: 7x − 6 = 15. What is x?
  35. 35.Farhan is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  36. 36.Solve: 4x + 5 = 25. What is x?
  37. 37.Zoya is 4 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  38. 38.Solve: 4x + 25 = 69. What is x?
  39. 39.Karan thinks of a number, multiplies it by 8 and then adds 16. The result is 112. What is the number?
  40. 40.Solve: 4(x + 1) = 40. What is x?

Answer key

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

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