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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 635 · 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: 5(y + 4) = 25. What is y?
  2. 2.Solve: 8t + 25 = 121. What is t?
  3. 3.Solve: n/5 + 2 = 3. What is n?
  4. 4.Diya’s mother is four times as old as Diya. Their ages add up to 40 years. How old is Diya?
  5. 5.Solve: 3t + 6 = 36. What is t?
  6. 6.Solve: 6(m + 5) = 48. What is m?
  7. 7.Solve: 7n − 27 = 43. What is n?
  8. 8.Solve: 2m + 2 = 28. What is m?
  9. 9.Lakshmi thinks of a number, multiplies it by 6 and then adds 21. The result is 63. What is the number?
  10. 10.Solve: 3x − 2 = 19. What is x?
  11. 11.Aditya’s mother is twice as old as Aditya. Their ages add up to 45 years. How old is Aditya?
  12. 12.Aarav’s mother is twice as old as Aarav. Their ages add up to 39 years. How old is Aarav?
  13. 13.Solve: 9n − 30 = 15. What is n?
  14. 14.Joseph thinks of a number, multiplies it by 2 and then adds 2. The result is 18. What is the number?
  15. 15.Dev is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  16. 16.Solve: 2t + 7 = 35. What is t?
  17. 17.Solve: x/5 + 2 = 13. What is x?
  18. 18.Priya thinks of a number, multiplies it by 6 and then adds 18. The result is 90. What is the number?
  19. 19.Solve: 9(y + 2) = 153. What is y?
  20. 20.Solve: 4t − 18 = 26. What is t?
  21. 21.Solve: 6m − 34 = 2. What is m?
  22. 22.Nisha thinks of a number, multiplies it by 5 and then adds 12. The result is 32. What is the number?
  23. 23.Solve: 8(n + 3) = 128. What is n?
  24. 24.Solve: 8n − 2 = 14. What is n?
  25. 25.Solve: t/7 + 11 = 15. What is t?
  26. 26.Solve: 6t − 2 = 22. What is t?
  27. 27.Solve: 4m + 22 = 38. What is m?
  28. 28.Solve: 8x + 29 = 149. What is x?
  29. 29.Solve: x/4 + 6 = 19. What is x?
  30. 30.Solve: 3(x + 3) = 42. What is x?
  31. 31.Saanvi thinks of a number, multiplies it by 2 and then adds 5. The result is 35. What is the number?
  32. 32.Solve: y/6 + 19 = 22. What is y?
  33. 33.Solve: 8p − 2 = 6. What is p?
  34. 34.Solve: 9(p + 5) = 135. What is p?
  35. 35.Solve: 8y − 102 = 2. What is y?
  36. 36.Zoya’s mother is four times as old as Zoya. Their ages add up to 35 years. How old is Zoya?
  37. 37.Solve: 8y + 11 = 35. What is y?
  38. 38.Solve: 5t − 9 = 6. What is t?
  39. 39.Priya thinks of a number, multiplies it by 2 and then adds 28. The result is 30. What is the number?
  40. 40.Solve: 5x + 24 = 59. What is x?

Answer key

  1. 1
  2. 12
  3. 5
  4. 8
  5. 10
  6. 3
  7. 10
  8. 13
  9. 7
  10. 7
  11. 15
  12. 13
  13. 5
  14. 8
  15. 14
  16. 14
  17. 55
  18. 12
  19. 15
  20. 11
  21. 6
  22. 4
  23. 13
  24. 2
  25. 28
  26. 4
  27. 4
  28. 15
  29. 52
  30. 11
  31. 15
  32. 18
  33. 1
  34. 10
  35. 13
  36. 7
  37. 3
  38. 3
  39. 1
  40. 7

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