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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 68 · 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: 4t + 22 = 58. What is t?
  2. 2.Rohan’s mother is twice as old as Rohan. Their ages add up to 12 years. How old is Rohan?
  3. 3.Aditya thinks of a number, multiplies it by 8 and then adds 4. The result is 20. What is the number?
  4. 4.Solve: 2t − 1 = 27. What is t?
  5. 5.Solve: 7x + 4 = 53. What is x?
  6. 6.Solve: n/9 + 13 = 16. What is n?
  7. 7.Solve: 9(n + 1) = 36. What is n?
  8. 8.Solve: 9(n + 6) = 126. What is n?
  9. 9.Solve: 8t + 1 = 73. What is t?
  10. 10.Solve: 2t + 22 = 32. What is t?
  11. 11.Solve: 5(x + 1) = 70. What is x?
  12. 12.Solve: m/4 + 4 = 13. What is m?
  13. 13.Arjun thinks of a number, multiplies it by 7 and then adds 22. The result is 99. What is the number?
  14. 14.Solve: 8x − 19 = 5. What is x?
  15. 15.Diya thinks of a number, multiplies it by 5 and then adds 12. The result is 52. What is the number?
  16. 16.Solve: 9t + 18 = 72. What is t?
  17. 17.Solve: 2t − 3 = 1. What is t?
  18. 18.Solve: n/3 + 9 = 18. What is n?
  19. 19.Solve: 8t + 30 = 102. What is t?
  20. 20.Solve: 6(n + 3) = 24. What is n?
  21. 21.Solve: 9t + 27 = 135. What is t?
  22. 22.Solve: 9n + 14 = 23. What is n?
  23. 23.Lakshmi is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  24. 24.Solve: 9x + 19 = 154. What is x?
  25. 25.Arjun’s mother is four times as old as Arjun. Their ages add up to 70 years. How old is Arjun?
  26. 26.Solve: 2t + 20 = 28. What is t?
  27. 27.Solve: 6p + 29 = 95. What is p?
  28. 28.Solve: x/3 + 2 = 10. What is x?
  29. 29.Diya thinks of a number, multiplies it by 6 and then adds 24. The result is 108. What is the number?
  30. 30.Solve: 9p + 28 = 163. What is p?
  31. 31.Solve: x/4 + 2 = 16. What is x?
  32. 32.Solve: 8(n + 9) = 104. What is n?
  33. 33.Solve: 9t + 28 = 91. What is t?
  34. 34.Solve: x/5 + 16 = 21. What is x?
  35. 35.Solve: 3m + 10 = 28. What is m?
  36. 36.Solve: m/4 + 10 = 14. What is m?
  37. 37.Solve: 3x + 21 = 27. What is x?
  38. 38.Rohan’s mother is twice as old as Rohan. Their ages add up to 30 years. How old is Rohan?
  39. 39.Solve: 6y + 19 = 97. What is y?
  40. 40.Solve: 8p − 10 = 38. What is p?

Answer key

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

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