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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 556 · 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: 9x + 13 = 85. What is x?
  2. 2.Rohan thinks of a number, multiplies it by 7 and then adds 6. The result is 41. What is the number?
  3. 3.Arjun is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  4. 4.Solve: 6t + 15 = 81. What is t?
  5. 5.Solve: 7(t + 4) = 35. What is t?
  6. 6.Solve: 9y + 27 = 144. What is y?
  7. 7.Aditya thinks of a number, multiplies it by 5 and then adds 4. The result is 44. What is the number?
  8. 8.Solve: p/3 + 5 = 13. What is p?
  9. 9.Joseph thinks of a number, multiplies it by 3 and then adds 23. The result is 26. What is the number?
  10. 10.Solve: 6y − 18 = 36. What is y?
  11. 11.Solve: 3x − 11 = 1. What is x?
  12. 12.Arjun thinks of a number, multiplies it by 9 and then adds 4. The result is 31. What is the number?
  13. 13.Solve: 8m − 15 = 17. What is m?
  14. 14.Solve: 5(n + 5) = 95. What is n?
  15. 15.Solve: 4p − 24 = 28. What is p?
  16. 16.Solve: x/9 + 5 = 9. What is x?
  17. 17.Solve: p/3 + 13 = 16. What is p?
  18. 18.Solve: t/2 + 1 = 2. What is t?
  19. 19.Ishaan thinks of a number, multiplies it by 2 and then adds 6. The result is 10. What is the number?
  20. 20.Solve: p/7 + 20 = 25. What is p?
  21. 21.Solve: 7(x + 1) = 112. What is x?
  22. 22.Vivaan thinks of a number, multiplies it by 2 and then adds 4. The result is 16. What is the number?
  23. 23.Kabir’s mother is four times as old as Kabir. Their ages add up to 35 years. How old is Kabir?
  24. 24.Solve: 8(m + 4) = 128. What is m?
  25. 25.Solve: 3p − 6 = 3. What is p?
  26. 26.Solve: 8(n + 6) = 160. What is n?
  27. 27.Solve: 9y + 25 = 160. What is y?
  28. 28.Solve: 4m + 3 = 15. What is m?
  29. 29.Aditya thinks of a number, multiplies it by 4 and then adds 5. The result is 45. What is the number?
  30. 30.Meera thinks of a number, multiplies it by 7 and then adds 11. The result is 88. What is the number?
  31. 31.Solve: 9t − 48 = 15. What is t?
  32. 32.Lakshmi thinks of a number, multiplies it by 8 and then adds 18. The result is 130. What is the number?
  33. 33.Solve: 6(n + 2) = 66. What is n?
  34. 34.Solve: n/9 + 9 = 10. What is n?
  35. 35.Joseph’s mother is four times as old as Joseph. Their ages add up to 75 years. How old is Joseph?
  36. 36.Solve: 8m + 18 = 42. What is m?
  37. 37.Solve: 9(y + 2) = 27. What is y?
  38. 38.Solve: 7m + 17 = 45. What is m?
  39. 39.Vivaan thinks of a number, multiplies it by 6 and then adds 27. The result is 81. What is the number?
  40. 40.Kavya thinks of a number, multiplies it by 2 and then adds 20. The result is 48. What is the number?

Answer key

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

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