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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 247 · 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: 7n − 7 = 14. What is n?
  2. 2.Solve: 3x − 20 = 16. What is x?
  3. 3.Karan is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  4. 4.Rohan’s mother is three times as old as Rohan. Their ages add up to 24 years. How old is Rohan?
  5. 5.Solve: 8x − 51 = 53. What is x?
  6. 6.Solve: 7p − 21 = 63. What is p?
  7. 7.Solve: 5y + 8 = 23. What is y?
  8. 8.Solve: 3t − 17 = 7. What is t?
  9. 9.Solve: 4(m + 2) = 40. What is m?
  10. 10.Solve: 6n − 1 = 17. What is n?
  11. 11.Solve: 9x + 3 = 120. What is x?
  12. 12.Solve: 2y + 29 = 31. What is y?
  13. 13.Solve: 6x + 28 = 70. What is x?
  14. 14.Solve: 6n − 13 = 53. What is n?
  15. 15.Solve: 7t + 3 = 66. What is t?
  16. 16.Solve: 9n + 13 = 112. What is n?
  17. 17.Solve: 4(y + 6) = 48. What is y?
  18. 18.Aarav is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  19. 19.Solve: 7(p + 3) = 98. What is p?
  20. 20.Solve: m/2 + 4 = 13. What is m?
  21. 21.Kavya thinks of a number, multiplies it by 2 and then adds 16. The result is 34. What is the number?
  22. 22.Solve: 8(x + 5) = 136. What is x?
  23. 23.Solve: 7(p + 9) = 133. What is p?
  24. 24.Solve: 8p − 63 = 9. What is p?
  25. 25.Solve: 4(x + 2) = 48. What is x?
  26. 26.Solve: 3x − 20 = 19. What is x?
  27. 27.Kavya is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  28. 28.Kavya thinks of a number, multiplies it by 8 and then adds 20. The result is 60. What is the number?
  29. 29.Solve: t/9 + 18 = 25. What is t?
  30. 30.Manav thinks of a number, multiplies it by 6 and then adds 25. The result is 109. What is the number?
  31. 31.Solve: 9m − 3 = 15. What is m?
  32. 32.Solve: x/5 + 17 = 31. What is x?
  33. 33.Meera’s mother is three times as old as Meera. Their ages add up to 48 years. How old is Meera?
  34. 34.Solve: 3(y + 9) = 33. What is y?
  35. 35.Solve: 4y − 17 = 3. What is y?
  36. 36.Solve: 4y − 6 = 34. What is y?
  37. 37.Solve: 4m − 13 = 3. What is m?
  38. 38.Solve: 2x − 1 = 1. What is x?
  39. 39.Solve: 4(m + 2) = 12. What is m?
  40. 40.Priya thinks of a number, multiplies it by 3 and then adds 27. The result is 30. What is the number?

Answer key

  1. 3
  2. 12
  3. 6
  4. 6
  5. 13
  6. 12
  7. 3
  8. 8
  9. 8
  10. 3
  11. 13
  12. 1
  13. 7
  14. 11
  15. 9
  16. 11
  17. 6
  18. 7
  19. 11
  20. 18
  21. 9
  22. 12
  23. 10
  24. 9
  25. 10
  26. 13
  27. 12
  28. 5
  29. 63
  30. 14
  31. 2
  32. 70
  33. 12
  34. 2
  35. 5
  36. 10
  37. 4
  38. 1
  39. 1
  40. 1

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