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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 967 · 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.Dev thinks of a number, multiplies it by 2 and then adds 30. The result is 58. What is the number?
  2. 2.Solve: 6y − 17 = 61. What is y?
  3. 3.Solve: 2(p + 2) = 32. What is p?
  4. 4.Solve: 3(t + 9) = 72. What is t?
  5. 5.Solve: 2n + 29 = 45. What is n?
  6. 6.Solve: x/3 + 5 = 9. What is x?
  7. 7.Solve: n/8 + 1 = 9. What is n?
  8. 8.Aditya thinks of a number, multiplies it by 9 and then adds 18. The result is 153. What is the number?
  9. 9.Solve: 3p + 19 = 28. What is p?
  10. 10.Solve: 4t − 1 = 3. What is t?
  11. 11.Solve: 3(x + 7) = 30. What is x?
  12. 12.Joseph thinks of a number, multiplies it by 9 and then adds 15. The result is 87. What is the number?
  13. 13.Solve: 3p + 1 = 40. What is p?
  14. 14.Solve: 2m + 24 = 44. What is m?
  15. 15.Solve: 9y − 14 = 40. What is y?
  16. 16.Rahul thinks of a number, multiplies it by 8 and then adds 26. The result is 138. What is the number?
  17. 17.Karan’s mother is twice as old as Karan. Their ages add up to 12 years. How old is Karan?
  18. 18.Solve: 6x + 8 = 62. What is x?
  19. 19.Joseph thinks of a number, multiplies it by 7 and then adds 24. The result is 108. What is the number?
  20. 20.Lakshmi thinks of a number, multiplies it by 9 and then adds 4. The result is 22. What is the number?
  21. 21.Solve: m/6 + 8 = 20. What is m?
  22. 22.Solve: 9(t + 9) = 162. What is t?
  23. 23.Solve: 2y + 8 = 30. What is y?
  24. 24.Solve: 4t + 23 = 47. What is t?
  25. 25.Solve: 7(n + 6) = 133. What is n?
  26. 26.Solve: 9(y + 5) = 90. What is y?
  27. 27.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 28 years. How old is Vivaan?
  28. 28.Aditya’s mother is twice as old as Aditya. Their ages add up to 15 years. How old is Aditya?
  29. 29.Solve: 8m + 13 = 21. What is m?
  30. 30.Solve: 8y − 11 = 37. What is y?
  31. 31.Isha thinks of a number, multiplies it by 2 and then adds 13. The result is 17. What is the number?
  32. 32.Solve: 3p − 2 = 7. What is p?
  33. 33.Solve: 6n + 8 = 80. What is n?
  34. 34.Tara is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  35. 35.Solve: 5n − 13 = 37. What is n?
  36. 36.Solve: n/3 + 14 = 22. What is n?
  37. 37.Solve: 2x − 3 = 3. What is x?
  38. 38.Solve: 4m + 13 = 17. What is m?
  39. 39.Tara’s mother is three times as old as Tara. Their ages add up to 20 years. How old is Tara?
  40. 40.Solve: 9y − 3 = 6. What is y?

Answer key

  1. 14
  2. 13
  3. 14
  4. 15
  5. 8
  6. 12
  7. 64
  8. 15
  9. 3
  10. 1
  11. 3
  12. 8
  13. 13
  14. 10
  15. 6
  16. 14
  17. 4
  18. 9
  19. 12
  20. 2
  21. 72
  22. 9
  23. 11
  24. 6
  25. 13
  26. 5
  27. 7
  28. 5
  29. 1
  30. 6
  31. 2
  32. 3
  33. 12
  34. 11
  35. 10
  36. 24
  37. 3
  38. 1
  39. 5
  40. 1

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