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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 649 · 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: 2m − 1 = 7. What is m?
  2. 2.Solve: 9(y + 3) = 99. What is y?
  3. 3.Isha’s mother is three times as old as Isha. Their ages add up to 56 years. How old is Isha?
  4. 4.Arjun’s mother is twice as old as Arjun. Their ages add up to 39 years. How old is Arjun?
  5. 5.Solve: p/4 + 16 = 22. What is p?
  6. 6.Solve: m/7 + 2 = 10. What is m?
  7. 7.Solve: 6n − 7 = 23. What is n?
  8. 8.Sneha is 3 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  9. 9.Solve: 8(x + 7) = 152. What is x?
  10. 10.Dev’s mother is four times as old as Dev. Their ages add up to 75 years. How old is Dev?
  11. 11.Solve: 3y + 26 = 29. What is y?
  12. 12.Solve: 5x + 13 = 38. What is x?
  13. 13.Solve: 7(x + 3) = 91. What is x?
  14. 14.Solve: 7y + 4 = 53. What is y?
  15. 15.Joseph’s mother is twice as old as Joseph. Their ages add up to 27 years. How old is Joseph?
  16. 16.Solve: 5x − 11 = 39. What is x?
  17. 17.Isha thinks of a number, multiplies it by 6 and then adds 15. The result is 33. What is the number?
  18. 18.Solve: 7(m + 7) = 119. What is m?
  19. 19.Solve: m/3 + 9 = 19. What is m?
  20. 20.Solve: 8x − 2 = 6. What is x?
  21. 21.Solve: 6(m + 2) = 78. What is m?
  22. 22.Kabir thinks of a number, multiplies it by 3 and then adds 12. The result is 39. What is the number?
  23. 23.Solve: m/7 + 5 = 16. What is m?
  24. 24.Solve: 6y − 1 = 5. What is y?
  25. 25.Rohan thinks of a number, multiplies it by 2 and then adds 12. The result is 32. What is the number?
  26. 26.Solve: t/8 + 19 = 27. What is t?
  27. 27.Solve: 9x + 30 = 93. What is x?
  28. 28.Solve: 9(p + 4) = 126. What is p?
  29. 29.Solve: 7p + 6 = 111. What is p?
  30. 30.Solve: y/7 + 7 = 15. What is y?
  31. 31.Arjun thinks of a number, multiplies it by 5 and then adds 21. The result is 46. What is the number?
  32. 32.Solve: 3y + 11 = 23. What is y?
  33. 33.Aditya thinks of a number, multiplies it by 4 and then adds 4. The result is 64. What is the number?
  34. 34.Kavya thinks of a number, multiplies it by 4 and then adds 17. The result is 41. What is the number?
  35. 35.Gurpreet thinks of a number, multiplies it by 8 and then adds 15. The result is 87. What is the number?
  36. 36.Solve: 8(y + 2) = 24. What is y?
  37. 37.Solve: 6p − 55 = 11. What is p?
  38. 38.Solve: 8x − 99 = 5. What is x?
  39. 39.Solve: 7(t + 1) = 42. What is t?
  40. 40.Solve: 5x + 11 = 81. What is x?

Answer key

  1. 4
  2. 8
  3. 14
  4. 13
  5. 24
  6. 56
  7. 5
  8. 15
  9. 12
  10. 15
  11. 1
  12. 5
  13. 10
  14. 7
  15. 9
  16. 10
  17. 3
  18. 10
  19. 30
  20. 1
  21. 11
  22. 9
  23. 77
  24. 1
  25. 10
  26. 64
  27. 7
  28. 10
  29. 15
  30. 56
  31. 5
  32. 4
  33. 15
  34. 6
  35. 9
  36. 1
  37. 11
  38. 13
  39. 5
  40. 14

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