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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 267 · 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.Riya is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  2. 2.Solve: 8y − 5 = 11. What is y?
  3. 3.Solve: p/9 + 6 = 18. What is p?
  4. 4.Solve: 2(n + 9) = 44. What is n?
  5. 5.Solve: 9m + 14 = 104. What is m?
  6. 6.Solve: 9(n + 2) = 54. What is n?
  7. 7.Solve: x/7 + 9 = 10. What is x?
  8. 8.Solve: 9x − 46 = 80. What is x?
  9. 9.Solve: y/5 + 3 = 17. What is y?
  10. 10.Solve: 3x − 14 = 19. What is x?
  11. 11.Meera thinks of a number, multiplies it by 5 and then adds 29. The result is 34. What is the number?
  12. 12.Solve: 9x + 29 = 65. What is x?
  13. 13.Solve: 5(p + 1) = 20. What is p?
  14. 14.Aarav thinks of a number, multiplies it by 9 and then adds 2. The result is 92. What is the number?
  15. 15.Solve: 7(y + 3) = 42. What is y?
  16. 16.Solve: 4(p + 3) = 20. What is p?
  17. 17.Solve: 9(y + 3) = 72. What is y?
  18. 18.Ananya’s mother is four times as old as Ananya. Their ages add up to 70 years. How old is Ananya?
  19. 19.Solve: 3x − 25 = 20. What is x?
  20. 20.Riya is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  21. 21.Solve: m/6 + 1 = 3. What is m?
  22. 22.Solve: m/6 + 19 = 21. What is m?
  23. 23.Solve: 9n + 19 = 37. What is n?
  24. 24.Sneha thinks of a number, multiplies it by 4 and then adds 25. The result is 49. What is the number?
  25. 25.Nisha’s mother is twice as old as Nisha. Their ages add up to 33 years. How old is Nisha?
  26. 26.Solve: x/9 + 9 = 13. What is x?
  27. 27.Kavya thinks of a number, multiplies it by 9 and then adds 18. The result is 117. What is the number?
  28. 28.Solve: m/6 + 1 = 14. What is m?
  29. 29.Solve: 4n − 51 = 1. What is n?
  30. 30.Solve: 2t − 1 = 3. What is t?
  31. 31.Solve: 3(m + 8) = 45. What is m?
  32. 32.Solve: 5p + 3 = 8. What is p?
  33. 33.Solve: p/6 + 20 = 26. What is p?
  34. 34.Manav thinks of a number, multiplies it by 4 and then adds 27. The result is 71. What is the number?
  35. 35.Solve: 9m − 7 = 2. What is m?
  36. 36.Solve: x/3 + 7 = 16. What is x?
  37. 37.Solve: 9n + 3 = 120. What is n?
  38. 38.Solve: 8y − 33 = 15. What is y?
  39. 39.Solve: 6y − 41 = 31. What is y?
  40. 40.Solve: 4(t + 9) = 80. What is t?

Answer key

  1. 5
  2. 2
  3. 108
  4. 13
  5. 10
  6. 4
  7. 7
  8. 14
  9. 70
  10. 11
  11. 1
  12. 4
  13. 3
  14. 10
  15. 3
  16. 2
  17. 5
  18. 14
  19. 15
  20. 6
  21. 12
  22. 12
  23. 2
  24. 6
  25. 11
  26. 36
  27. 11
  28. 78
  29. 13
  30. 2
  31. 7
  32. 1
  33. 36
  34. 11
  35. 1
  36. 27
  37. 13
  38. 6
  39. 12
  40. 11

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