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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 201 · 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: 9y + 2 = 47. What is y?
  2. 2.Joseph thinks of a number, multiplies it by 4 and then adds 25. The result is 53. What is the number?
  3. 3.Farhan thinks of a number, multiplies it by 9 and then adds 16. The result is 115. What is the number?
  4. 4.Solve: 8p + 27 = 139. What is p?
  5. 5.Isha’s mother is four times as old as Isha. Their ages add up to 35 years. How old is Isha?
  6. 6.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 65 years. How old is Gurpreet?
  7. 7.Ishaan thinks of a number, multiplies it by 2 and then adds 16. The result is 44. What is the number?
  8. 8.Solve: y/8 + 4 = 8. What is y?
  9. 9.Solve: 2m + 18 = 36. What is m?
  10. 10.Rohan is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  11. 11.Solve: 9(n + 3) = 117. What is n?
  12. 12.Isha is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  13. 13.Solve: 8x − 3 = 101. What is x?
  14. 14.Diya’s mother is twice as old as Diya. Their ages add up to 36 years. How old is Diya?
  15. 15.Solve: 8p − 58 = 22. What is p?
  16. 16.Rahul is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  17. 17.Solve: 8n − 12 = 36. What is n?
  18. 18.Solve: 3p + 8 = 38. What is p?
  19. 19.Solve: 2p − 7 = 1. What is p?
  20. 20.Solve: 9x − 16 = 2. What is x?
  21. 21.Aditya thinks of a number, multiplies it by 8 and then adds 24. The result is 32. What is the number?
  22. 22.Solve: m/6 + 6 = 10. What is m?
  23. 23.Solve: 5(x + 8) = 90. What is x?
  24. 24.Solve: t/9 + 1 = 5. What is t?
  25. 25.Solve: 4n + 8 = 20. What is n?
  26. 26.Solve: 6n − 22 = 32. What is n?
  27. 27.Solve: 9(x + 8) = 153. What is x?
  28. 28.Kabir’s mother is four times as old as Kabir. Their ages add up to 75 years. How old is Kabir?
  29. 29.Solve: 3m + 19 = 22. What is m?
  30. 30.Solve: 9(p + 1) = 117. What is p?
  31. 31.Solve: 6x + 7 = 25. What is x?
  32. 32.Solve: 5(n + 6) = 90. What is n?
  33. 33.Solve: 6t − 34 = 26. What is t?
  34. 34.Solve: x/3 + 2 = 5. What is x?
  35. 35.Solve: x/8 + 6 = 18. What is x?
  36. 36.Solve: p/3 + 12 = 22. What is p?
  37. 37.Solve: 7p − 6 = 15. What is p?
  38. 38.Ananya is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  39. 39.Joseph thinks of a number, multiplies it by 7 and then adds 14. The result is 91. What is the number?
  40. 40.Dev thinks of a number, multiplies it by 7 and then adds 12. The result is 19. What is the number?

Answer key

  1. 5
  2. 7
  3. 11
  4. 14
  5. 7
  6. 13
  7. 14
  8. 32
  9. 9
  10. 15
  11. 10
  12. 4
  13. 13
  14. 12
  15. 10
  16. 5
  17. 6
  18. 10
  19. 4
  20. 2
  21. 1
  22. 24
  23. 10
  24. 36
  25. 3
  26. 9
  27. 9
  28. 15
  29. 1
  30. 12
  31. 3
  32. 12
  33. 10
  34. 9
  35. 96
  36. 30
  37. 3
  38. 8
  39. 11
  40. 1

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