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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 155 · 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: 9(y + 1) = 90. What is y?
  2. 2.Solve: 5(p + 7) = 110. What is p?
  3. 3.Solve: 7p − 2 = 5. What is p?
  4. 4.Solve: p/6 + 8 = 22. What is p?
  5. 5.Aditya thinks of a number, multiplies it by 6 and then adds 5. The result is 29. What is the number?
  6. 6.Solve: 4y + 11 = 15. What is y?
  7. 7.Solve: 4n − 7 = 9. What is n?
  8. 8.Solve: x/4 + 1 = 12. What is x?
  9. 9.Aarav thinks of a number, multiplies it by 8 and then adds 17. The result is 113. What is the number?
  10. 10.Solve: 9(m + 7) = 72. What is m?
  11. 11.Solve: 6x − 17 = 1. What is x?
  12. 12.Tara’s mother is three times as old as Tara. Their ages add up to 60 years. How old is Tara?
  13. 13.Rahul thinks of a number, multiplies it by 2 and then adds 13. The result is 31. What is the number?
  14. 14.Solve: 2y − 26 = 2. What is y?
  15. 15.Solve: 3x − 10 = 5. What is x?
  16. 16.Solve: 3m − 8 = 13. What is m?
  17. 17.Solve: p/3 + 14 = 27. What is p?
  18. 18.Solve: 5x − 26 = 9. What is x?
  19. 19.Solve: 4y + 12 = 32. What is y?
  20. 20.Solve: 8(t + 1) = 64. What is t?
  21. 21.Solve: y/7 + 6 = 20. What is y?
  22. 22.Solve: 8(t + 8) = 72. What is t?
  23. 23.Rahul’s mother is twice as old as Rahul. Their ages add up to 33 years. How old is Rahul?
  24. 24.Solve: 7y + 25 = 116. What is y?
  25. 25.Solve: 8(t + 2) = 112. What is t?
  26. 26.Sneha thinks of a number, multiplies it by 7 and then adds 30. The result is 100. What is the number?
  27. 27.Solve: 2n + 9 = 15. What is n?
  28. 28.Solve: p/7 + 19 = 23. What is p?
  29. 29.Tara is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  30. 30.Kabir is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  31. 31.Solve: y/3 + 18 = 27. What is y?
  32. 32.Saanvi is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  33. 33.Nisha is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  34. 34.Dev is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  35. 35.Solve: x/7 + 17 = 29. What is x?
  36. 36.Solve: 2m + 14 = 36. What is m?
  37. 37.Solve: 8x − 34 = 38. What is x?
  38. 38.Solve: 2m − 1 = 7. What is m?
  39. 39.Solve: 3x − 12 = 6. What is x?
  40. 40.Solve: 2p − 2 = 14. What is p?

Answer key

  1. 9
  2. 15
  3. 1
  4. 84
  5. 4
  6. 1
  7. 4
  8. 44
  9. 12
  10. 1
  11. 3
  12. 15
  13. 9
  14. 14
  15. 5
  16. 7
  17. 39
  18. 7
  19. 5
  20. 7
  21. 98
  22. 1
  23. 11
  24. 13
  25. 12
  26. 10
  27. 3
  28. 28
  29. 15
  30. 15
  31. 27
  32. 7
  33. 8
  34. 14
  35. 84
  36. 11
  37. 9
  38. 4
  39. 6
  40. 8

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