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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 374 · 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.Ananya is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  2. 2.Solve: 7m + 19 = 54. What is m?
  3. 3.Solve: t/6 + 16 = 19. What is t?
  4. 4.Solve: y/4 + 2 = 7. What is y?
  5. 5.Solve: y/4 + 17 = 31. What is y?
  6. 6.Rohan is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  7. 7.Solve: 2(x + 7) = 16. What is x?
  8. 8.Solve: m/6 + 4 = 5. What is m?
  9. 9.Solve: y/8 + 15 = 26. What is y?
  10. 10.Rahul thinks of a number, multiplies it by 4 and then adds 22. The result is 82. What is the number?
  11. 11.Solve: 5(y + 8) = 105. What is y?
  12. 12.Solve: 5y − 1 = 29. What is y?
  13. 13.Solve: 6(y + 6) = 42. What is y?
  14. 14.Solve: t/8 + 2 = 5. What is t?
  15. 15.Isha thinks of a number, multiplies it by 2 and then adds 15. The result is 29. What is the number?
  16. 16.Solve: x/3 + 15 = 25. What is x?
  17. 17.Isha thinks of a number, multiplies it by 8 and then adds 22. The result is 54. What is the number?
  18. 18.Solve: 2y + 9 = 25. What is y?
  19. 19.Joseph is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  20. 20.Rahul thinks of a number, multiplies it by 2 and then adds 29. The result is 39. What is the number?
  21. 21.Solve: 3x − 16 = 26. What is x?
  22. 22.Solve: 8(x + 4) = 80. What is x?
  23. 23.Solve: n/8 + 15 = 17. What is n?
  24. 24.Solve: 9(n + 2) = 153. What is n?
  25. 25.Solve: p/8 + 5 = 8. What is p?
  26. 26.Joseph thinks of a number, multiplies it by 3 and then adds 25. The result is 55. What is the number?
  27. 27.Solve: 5y − 27 = 23. What is y?
  28. 28.Tara thinks of a number, multiplies it by 9 and then adds 3. The result is 39. What is the number?
  29. 29.Solve: x/8 + 3 = 12. What is x?
  30. 30.Isha thinks of a number, multiplies it by 2 and then adds 8. The result is 30. What is the number?
  31. 31.Isha’s mother is twice as old as Isha. Their ages add up to 15 years. How old is Isha?
  32. 32.Solve: 6x + 26 = 56. What is x?
  33. 33.Solve: 6(p + 9) = 120. What is p?
  34. 34.Solve: 3y − 26 = 16. What is y?
  35. 35.Solve: 6(n + 4) = 36. What is n?
  36. 36.Solve: 2p + 13 = 23. What is p?
  37. 37.Solve: 6(y + 9) = 72. What is y?
  38. 38.Solve: x/2 + 13 = 22. What is x?
  39. 39.Solve: p/7 + 4 = 17. What is p?
  40. 40.Solve: m/3 + 16 = 19. What is m?

Answer key

  1. 5
  2. 5
  3. 18
  4. 20
  5. 56
  6. 5
  7. 1
  8. 6
  9. 88
  10. 15
  11. 13
  12. 6
  13. 1
  14. 24
  15. 7
  16. 30
  17. 4
  18. 8
  19. 9
  20. 5
  21. 14
  22. 6
  23. 16
  24. 15
  25. 24
  26. 10
  27. 10
  28. 4
  29. 72
  30. 11
  31. 5
  32. 5
  33. 11
  34. 14
  35. 2
  36. 5
  37. 3
  38. 18
  39. 91
  40. 9

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