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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 185 · 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: t/4 + 16 = 24. What is t?
  2. 2.Solve: 5n + 9 = 29. What is n?
  3. 3.Solve: 2n − 25 = 3. What is n?
  4. 4.Solve: 5(t + 8) = 95. What is t?
  5. 5.Meera thinks of a number, multiplies it by 7 and then adds 5. The result is 26. What is the number?
  6. 6.Manav thinks of a number, multiplies it by 6 and then adds 26. The result is 32. What is the number?
  7. 7.Solve: 5y − 11 = 19. What is y?
  8. 8.Solve: 3m + 7 = 49. What is m?
  9. 9.Joseph thinks of a number, multiplies it by 4 and then adds 10. The result is 42. What is the number?
  10. 10.Solve: 8m − 29 = 27. What is m?
  11. 11.Solve: 5n − 9 = 26. What is n?
  12. 12.Solve: x/2 + 5 = 14. What is x?
  13. 13.Solve: t/7 + 20 = 33. What is t?
  14. 14.Solve: 2t + 23 = 31. What is t?
  15. 15.Priya is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  16. 16.Solve: 7(p + 6) = 77. What is p?
  17. 17.Solve: 7(t + 3) = 91. What is t?
  18. 18.Karan’s mother is four times as old as Karan. Their ages add up to 65 years. How old is Karan?
  19. 19.Priya thinks of a number, multiplies it by 7 and then adds 21. The result is 126. What is the number?
  20. 20.Farhan thinks of a number, multiplies it by 5 and then adds 21. The result is 66. What is the number?
  21. 21.Ananya thinks of a number, multiplies it by 7 and then adds 19. The result is 89. What is the number?
  22. 22.Sneha thinks of a number, multiplies it by 6 and then adds 20. The result is 26. What is the number?
  23. 23.Pooja thinks of a number, multiplies it by 5 and then adds 17. The result is 32. What is the number?
  24. 24.Solve: 6x + 6 = 78. What is x?
  25. 25.Priya thinks of a number, multiplies it by 2 and then adds 18. The result is 24. What is the number?
  26. 26.Rahul thinks of a number, multiplies it by 6 and then adds 1. The result is 61. What is the number?
  27. 27.Solve: 8p − 34 = 38. What is p?
  28. 28.Solve: 3(p + 6) = 27. What is p?
  29. 29.Solve: 9(x + 5) = 72. What is x?
  30. 30.Solve: 4(n + 8) = 52. What is n?
  31. 31.Solve: 6(x + 5) = 102. What is x?
  32. 32.Solve: 8(p + 7) = 72. What is p?
  33. 33.Solve: 8y − 61 = 3. What is y?
  34. 34.Riya thinks of a number, multiplies it by 4 and then adds 15. The result is 19. What is the number?
  35. 35.Solve: 7t − 4 = 17. What is t?
  36. 36.Solve: 4n − 5 = 3. What is n?
  37. 37.Solve: n/2 + 17 = 29. What is n?
  38. 38.Solve: 4p − 8 = 16. What is p?
  39. 39.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 60 years. How old is Saanvi?
  40. 40.Solve: 3m + 10 = 52. What is m?

Answer key

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

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