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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 304 · 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: 2(y + 9) = 30. What is y?
  2. 2.Kabir thinks of a number, multiplies it by 2 and then adds 20. The result is 22. What is the number?
  3. 3.Solve: t/9 + 10 = 17. What is t?
  4. 4.Sneha thinks of a number, multiplies it by 3 and then adds 8. The result is 38. What is the number?
  5. 5.Solve: 7y − 7 = 7. What is y?
  6. 6.Solve: 5n + 20 = 95. What is n?
  7. 7.Solve: 7x − 14 = 21. What is x?
  8. 8.Solve: 4(p + 7) = 48. What is p?
  9. 9.Solve: p/3 + 1 = 12. What is p?
  10. 10.Solve: 4x + 6 = 50. What is x?
  11. 11.Solve: y/5 + 7 = 20. What is y?
  12. 12.Solve: 7n + 6 = 41. What is n?
  13. 13.Solve: 7t + 19 = 110. What is t?
  14. 14.Solve: p/9 + 5 = 11. What is p?
  15. 15.Meera’s mother is twice as old as Meera. Their ages add up to 33 years. How old is Meera?
  16. 16.Solve: 2p − 10 = 8. What is p?
  17. 17.Kavya is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  18. 18.Solve: 2t − 24 = 2. What is t?
  19. 19.Rahul’s mother is four times as old as Rahul. Their ages add up to 50 years. How old is Rahul?
  20. 20.Solve: m/6 + 8 = 13. What is m?
  21. 21.Nisha is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  22. 22.Solve: y/2 + 8 = 23. What is y?
  23. 23.Solve: 5(t + 7) = 90. What is t?
  24. 24.Isha’s mother is twice as old as Isha. Their ages add up to 15 years. How old is Isha?
  25. 25.Solve: 4p − 2 = 42. What is p?
  26. 26.Solve: 5x + 16 = 41. What is x?
  27. 27.Solve: 8(n + 5) = 128. What is n?
  28. 28.Solve: 5m − 6 = 19. What is m?
  29. 29.Isha is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  30. 30.Solve: 6t − 13 = 23. What is t?
  31. 31.Rahul thinks of a number, multiplies it by 4 and then adds 8. The result is 12. What is the number?
  32. 32.Solve: x/9 + 12 = 17. What is x?
  33. 33.Priya thinks of a number, multiplies it by 3 and then adds 30. The result is 75. What is the number?
  34. 34.Aarav thinks of a number, multiplies it by 6 and then adds 23. The result is 47. What is the number?
  35. 35.Solve: 7t + 4 = 53. What is t?
  36. 36.Solve: 6t + 23 = 59. What is t?
  37. 37.Solve: t/7 + 15 = 22. What is t?
  38. 38.Zoya thinks of a number, multiplies it by 7 and then adds 3. The result is 59. What is the number?
  39. 39.Solve: 8(x + 3) = 72. What is x?
  40. 40.Solve: x/6 + 1 = 16. What is x?

Answer key

  1. 6
  2. 1
  3. 63
  4. 10
  5. 2
  6. 15
  7. 5
  8. 5
  9. 33
  10. 11
  11. 65
  12. 5
  13. 13
  14. 54
  15. 11
  16. 9
  17. 11
  18. 13
  19. 10
  20. 30
  21. 4
  22. 30
  23. 11
  24. 5
  25. 11
  26. 5
  27. 11
  28. 5
  29. 11
  30. 6
  31. 1
  32. 45
  33. 15
  34. 4
  35. 7
  36. 6
  37. 49
  38. 8
  39. 6
  40. 90

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