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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 472 · 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: p/5 + 8 = 21. What is p?
  2. 2.Solve: 4n − 38 = 14. What is n?
  3. 3.Zoya’s mother is four times as old as Zoya. Their ages add up to 70 years. How old is Zoya?
  4. 4.Saanvi is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  5. 5.Solve: 2x + 11 = 33. What is x?
  6. 6.Solve: 3y − 1 = 5. What is y?
  7. 7.Solve: 7y − 12 = 23. What is y?
  8. 8.Solve: m/2 + 4 = 8. What is m?
  9. 9.Joseph’s mother is twice as old as Joseph. Their ages add up to 30 years. How old is Joseph?
  10. 10.Gurpreet thinks of a number, multiplies it by 3 and then adds 11. The result is 38. What is the number?
  11. 11.Solve: 4p − 40 = 4. What is p?
  12. 12.Solve: 4(x + 7) = 32. What is x?
  13. 13.Solve: 8y − 79 = 1. What is y?
  14. 14.Solve: 4n − 5 = 11. What is n?
  15. 15.Solve: 8m − 95 = 17. What is m?
  16. 16.Meera thinks of a number, multiplies it by 2 and then adds 18. The result is 44. What is the number?
  17. 17.Vivaan is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  18. 18.Solve: 9(y + 8) = 153. What is y?
  19. 19.Solve: 8p − 48 = 8. What is p?
  20. 20.Solve: 8t − 2 = 30. What is t?
  21. 21.Solve: n/2 + 11 = 22. What is n?
  22. 22.Rahul’s mother is three times as old as Rahul. Their ages add up to 40 years. How old is Rahul?
  23. 23.Solve: 3x + 4 = 46. What is x?
  24. 24.Solve: n/3 + 16 = 23. What is n?
  25. 25.Solve: 9x + 25 = 52. What is x?
  26. 26.Solve: m/5 + 13 = 26. What is m?
  27. 27.Solve: 3(n + 6) = 33. What is n?
  28. 28.Nisha thinks of a number, multiplies it by 9 and then adds 8. The result is 44. What is the number?
  29. 29.Sneha thinks of a number, multiplies it by 4 and then adds 20. The result is 44. What is the number?
  30. 30.Nisha thinks of a number, multiplies it by 4 and then adds 24. The result is 40. What is the number?
  31. 31.Solve: 9t + 2 = 11. What is t?
  32. 32.Solve: p/8 + 20 = 31. What is p?
  33. 33.Kavya thinks of a number, multiplies it by 7 and then adds 22. The result is 36. What is the number?
  34. 34.Rohan’s mother is three times as old as Rohan. Their ages add up to 16 years. How old is Rohan?
  35. 35.Lakshmi is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  36. 36.Solve: 4(m + 8) = 44. What is m?
  37. 37.Solve: 8n − 12 = 84. What is n?
  38. 38.Solve: 7x + 10 = 115. What is x?
  39. 39.Solve: m/2 + 16 = 29. What is m?
  40. 40.Rahul thinks of a number, multiplies it by 7 and then adds 2. The result is 86. What is the number?

Answer key

  1. 65
  2. 13
  3. 14
  4. 9
  5. 11
  6. 2
  7. 5
  8. 8
  9. 10
  10. 9
  11. 11
  12. 1
  13. 10
  14. 4
  15. 14
  16. 13
  17. 5
  18. 9
  19. 7
  20. 4
  21. 22
  22. 10
  23. 14
  24. 21
  25. 3
  26. 65
  27. 5
  28. 4
  29. 6
  30. 4
  31. 1
  32. 88
  33. 2
  34. 4
  35. 12
  36. 3
  37. 12
  38. 15
  39. 26
  40. 12

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