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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 401 · 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: 2p + 3 = 11. What is p?
  2. 2.Solve: 5y − 22 = 13. What is y?
  3. 3.Solve: 2x + 14 = 36. What is x?
  4. 4.Solve: 2x − 1 = 1. What is x?
  5. 5.Solve: 3x − 8 = 4. What is x?
  6. 6.Solve: 4(y + 3) = 44. What is y?
  7. 7.Solve: 9x + 9 = 45. What is x?
  8. 8.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 20 years. How old is Gurpreet?
  9. 9.Solve: m/5 + 2 = 8. What is m?
  10. 10.Solve: 7(t + 6) = 63. What is t?
  11. 11.Solve: 4y + 18 = 38. What is y?
  12. 12.Dev is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  13. 13.Solve: 9(x + 5) = 81. What is x?
  14. 14.Solve: 4n + 13 = 25. What is n?
  15. 15.Solve: 6(y + 8) = 102. What is y?
  16. 16.Solve: m/8 + 11 = 16. What is m?
  17. 17.Solve: 3y − 12 = 24. What is y?
  18. 18.Solve: 4m − 43 = 1. What is m?
  19. 19.Solve: t/4 + 3 = 10. What is t?
  20. 20.Isha is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  21. 21.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 48 years. How old is Vivaan?
  22. 22.Solve: 4m − 26 = 18. What is m?
  23. 23.Aditya thinks of a number, multiplies it by 2 and then adds 25. The result is 31. What is the number?
  24. 24.Dev’s mother is four times as old as Dev. Their ages add up to 65 years. How old is Dev?
  25. 25.Nisha is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  26. 26.Priya thinks of a number, multiplies it by 8 and then adds 16. The result is 104. What is the number?
  27. 27.Solve: 5p − 18 = 7. What is p?
  28. 28.Karan is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  29. 29.Solve: n/7 + 3 = 5. What is n?
  30. 30.Karan’s mother is three times as old as Karan. Their ages add up to 24 years. How old is Karan?
  31. 31.Solve: 3n − 2 = 7. What is n?
  32. 32.Meera’s mother is four times as old as Meera. Their ages add up to 50 years. How old is Meera?
  33. 33.Solve: 6n + 10 = 34. What is n?
  34. 34.Solve: n/8 + 18 = 29. What is n?
  35. 35.Solve: n/6 + 1 = 2. What is n?
  36. 36.Solve: 8t + 6 = 14. What is t?
  37. 37.Manav thinks of a number, multiplies it by 6 and then adds 21. The result is 75. What is the number?
  38. 38.Solve: t/4 + 17 = 21. What is t?
  39. 39.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 21 years. How old is Gurpreet?
  40. 40.Solve: n/3 + 12 = 22. What is n?

Answer key

  1. 4
  2. 7
  3. 11
  4. 1
  5. 4
  6. 8
  7. 4
  8. 5
  9. 30
  10. 3
  11. 5
  12. 14
  13. 4
  14. 3
  15. 9
  16. 40
  17. 12
  18. 11
  19. 28
  20. 4
  21. 12
  22. 11
  23. 3
  24. 13
  25. 15
  26. 11
  27. 5
  28. 13
  29. 14
  30. 6
  31. 3
  32. 10
  33. 4
  34. 88
  35. 6
  36. 1
  37. 9
  38. 16
  39. 7
  40. 30

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