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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 536 · 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: 8p − 14 = 34. What is p?
  2. 2.Kabir thinks of a number, multiplies it by 3 and then adds 23. The result is 32. What is the number?
  3. 3.Saanvi is 4 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  4. 4.Rohan is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  5. 5.Solve: 4(n + 8) = 36. What is n?
  6. 6.Nisha is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  7. 7.Solve: 6x + 21 = 57. What is x?
  8. 8.Isha’s mother is three times as old as Isha. Their ages add up to 28 years. How old is Isha?
  9. 9.Solve: 8m + 7 = 47. What is m?
  10. 10.Priya is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  11. 11.Solve: 6t + 27 = 75. What is t?
  12. 12.Isha thinks of a number, multiplies it by 7 and then adds 22. The result is 113. What is the number?
  13. 13.Lakshmi thinks of a number, multiplies it by 6 and then adds 7. The result is 49. What is the number?
  14. 14.Solve: 3n − 9 = 12. What is n?
  15. 15.Solve: 8y − 36 = 28. What is y?
  16. 16.Solve: 2x − 4 = 20. What is x?
  17. 17.Solve: 4t + 3 = 15. What is t?
  18. 18.Solve: y/8 + 14 = 15. What is y?
  19. 19.Solve: 8(y + 4) = 152. What is y?
  20. 20.Karan’s mother is four times as old as Karan. Their ages add up to 35 years. How old is Karan?
  21. 21.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 60 years. How old is Saanvi?
  22. 22.Solve: t/6 + 13 = 27. What is t?
  23. 23.Solve: 2m − 10 = 6. What is m?
  24. 24.Solve: 8m + 1 = 97. What is m?
  25. 25.Solve: 8x + 6 = 46. What is x?
  26. 26.Zoya thinks of a number, multiplies it by 5 and then adds 30. The result is 85. What is the number?
  27. 27.Joseph is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  28. 28.Solve: 6p − 16 = 38. What is p?
  29. 29.Solve: 6(y + 1) = 78. What is y?
  30. 30.Solve: 5y + 22 = 37. What is y?
  31. 31.Solve: 2(n + 7) = 28. What is n?
  32. 32.Isha thinks of a number, multiplies it by 8 and then adds 26. The result is 98. What is the number?
  33. 33.Solve: p/3 + 6 = 19. What is p?
  34. 34.Tara’s mother is four times as old as Tara. Their ages add up to 40 years. How old is Tara?
  35. 35.Farhan’s mother is twice as old as Farhan. Their ages add up to 12 years. How old is Farhan?
  36. 36.Solve: p/3 + 1 = 16. What is p?
  37. 37.Solve: 3p + 18 = 33. What is p?
  38. 38.Riya thinks of a number, multiplies it by 9 and then adds 21. The result is 111. What is the number?
  39. 39.Solve: 4p + 11 = 27. What is p?
  40. 40.Solve: x/6 + 18 = 27. What is x?

Answer key

  1. 6
  2. 3
  3. 13
  4. 6
  5. 1
  6. 7
  7. 6
  8. 7
  9. 5
  10. 11
  11. 8
  12. 13
  13. 7
  14. 7
  15. 8
  16. 12
  17. 3
  18. 8
  19. 15
  20. 7
  21. 12
  22. 84
  23. 8
  24. 12
  25. 5
  26. 11
  27. 12
  28. 9
  29. 12
  30. 3
  31. 7
  32. 9
  33. 39
  34. 8
  35. 4
  36. 45
  37. 5
  38. 10
  39. 4
  40. 54

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