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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 421 · 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: 9m − 54 = 9. What is m?
  2. 2.Solve: 8x − 46 = 2. What is x?
  3. 3.Solve: 6(y + 5) = 96. What is y?
  4. 4.Solve: 2y + 4 = 18. What is y?
  5. 5.Solve: 2(n + 1) = 8. What is n?
  6. 6.Solve: 5(m + 5) = 80. What is m?
  7. 7.Solve: 7t + 26 = 117. What is t?
  8. 8.Solve: 5(n + 4) = 45. What is n?
  9. 9.Solve: 5y + 21 = 51. What is y?
  10. 10.Solve: 2y − 10 = 2. What is y?
  11. 11.Solve: 6(t + 2) = 30. What is t?
  12. 12.Solve: 5(x + 2) = 65. What is x?
  13. 13.Saanvi thinks of a number, multiplies it by 2 and then adds 27. The result is 29. What is the number?
  14. 14.Solve: 4x + 19 = 79. What is x?
  15. 15.Manav thinks of a number, multiplies it by 9 and then adds 8. The result is 134. What is the number?
  16. 16.Solve: 6y + 28 = 58. What is y?
  17. 17.Solve: 8(x + 2) = 80. What is x?
  18. 18.Solve: 4(x + 3) = 32. What is x?
  19. 19.Arjun thinks of a number, multiplies it by 4 and then adds 3. The result is 7. What is the number?
  20. 20.Solve: 5(p + 4) = 95. What is p?
  21. 21.Kabir is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  22. 22.Solve: t/9 + 4 = 13. What is t?
  23. 23.Arjun’s mother is twice as old as Arjun. Their ages add up to 36 years. How old is Arjun?
  24. 24.Solve: 9n + 20 = 128. What is n?
  25. 25.Solve: 5x − 3 = 22. What is x?
  26. 26.Solve: 3p − 24 = 9. What is p?
  27. 27.Solve: 8(y + 2) = 56. What is y?
  28. 28.Solve: 3(n + 7) = 30. What is n?
  29. 29.Diya’s mother is four times as old as Diya. Their ages add up to 20 years. How old is Diya?
  30. 30.Solve: 7p − 25 = 45. What is p?
  31. 31.Meera thinks of a number, multiplies it by 3 and then adds 23. The result is 59. What is the number?
  32. 32.Rahul thinks of a number, multiplies it by 2 and then adds 27. The result is 57. What is the number?
  33. 33.Solve: y/3 + 20 = 22. What is y?
  34. 34.Solve: 6m + 30 = 84. What is m?
  35. 35.Isha thinks of a number, multiplies it by 5 and then adds 8. The result is 78. What is the number?
  36. 36.Solve: 3p + 15 = 57. What is p?
  37. 37.Gurpreet thinks of a number, multiplies it by 3 and then adds 13. The result is 58. What is the number?
  38. 38.Solve: 9y + 27 = 162. What is y?
  39. 39.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 25 years. How old is Lakshmi?
  40. 40.Isha’s mother is four times as old as Isha. Their ages add up to 30 years. How old is Isha?

Answer key

  1. 7
  2. 6
  3. 11
  4. 7
  5. 3
  6. 11
  7. 13
  8. 5
  9. 6
  10. 6
  11. 3
  12. 11
  13. 1
  14. 15
  15. 14
  16. 5
  17. 8
  18. 5
  19. 1
  20. 15
  21. 7
  22. 81
  23. 12
  24. 12
  25. 5
  26. 11
  27. 5
  28. 3
  29. 4
  30. 10
  31. 12
  32. 15
  33. 6
  34. 9
  35. 14
  36. 14
  37. 15
  38. 15
  39. 5
  40. 6

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