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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 680 · 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: 9m − 44 = 1. What is m?
  2. 2.Solve: y/9 + 8 = 12. What is y?
  3. 3.Solve: 7(x + 7) = 140. What is x?
  4. 4.Solve: 3(x + 7) = 24. What is x?
  5. 5.Aarav thinks of a number, multiplies it by 6 and then adds 7. The result is 49. What is the number?
  6. 6.Tara thinks of a number, multiplies it by 3 and then adds 18. The result is 48. What is the number?
  7. 7.Zoya is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  8. 8.Solve: 4y + 1 = 13. What is y?
  9. 9.Solve: 9(n + 9) = 153. What is n?
  10. 10.Gurpreet thinks of a number, multiplies it by 2 and then adds 3. The result is 11. What is the number?
  11. 11.Rahul’s mother is twice as old as Rahul. Their ages add up to 45 years. How old is Rahul?
  12. 12.Solve: 5y + 13 = 58. What is y?
  13. 13.Sneha is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  14. 14.Solve: 6y + 2 = 38. What is y?
  15. 15.Zoya thinks of a number, multiplies it by 2 and then adds 20. The result is 40. What is the number?
  16. 16.Solve: 9m + 1 = 73. What is m?
  17. 17.Meera thinks of a number, multiplies it by 9 and then adds 29. The result is 119. What is the number?
  18. 18.Solve: 4(p + 9) = 48. What is p?
  19. 19.Solve: 6(x + 4) = 72. What is x?
  20. 20.Ananya’s mother is three times as old as Ananya. Their ages add up to 52 years. How old is Ananya?
  21. 21.Solve: 7(t + 1) = 56. What is t?
  22. 22.Solve: 2n − 11 = 1. What is n?
  23. 23.Solve: 8x − 6 = 2. What is x?
  24. 24.Solve: 2x − 2 = 26. What is x?
  25. 25.Joseph is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  26. 26.Solve: p/6 + 12 = 14. What is p?
  27. 27.Manav is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  28. 28.Solve: 6m − 2 = 4. What is m?
  29. 29.Lakshmi thinks of a number, multiplies it by 2 and then adds 6. The result is 12. What is the number?
  30. 30.Solve: 2(p + 9) = 38. What is p?
  31. 31.Solve: 7t − 4 = 45. What is t?
  32. 32.Solve: 5n − 4 = 26. What is n?
  33. 33.Solve: 7t + 18 = 74. What is t?
  34. 34.Isha thinks of a number, multiplies it by 9 and then adds 24. The result is 105. What is the number?
  35. 35.Solve: 4t + 27 = 39. What is t?
  36. 36.Zoya thinks of a number, multiplies it by 3 and then adds 7. The result is 22. What is the number?
  37. 37.Kabir thinks of a number, multiplies it by 2 and then adds 24. The result is 44. What is the number?
  38. 38.Solve: 2t + 17 = 43. What is t?
  39. 39.Solve: 3(t + 2) = 18. What is t?
  40. 40.Solve: 5t + 22 = 27. What is t?

Answer key

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

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