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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 851 · 40 sums
TalentJR

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: 6p − 33 = 9. What is p?
  2. 2.Solve: 3(n + 3) = 36. What is n?
  3. 3.Solve: 9(t + 2) = 45. What is t?
  4. 4.Joseph thinks of a number, multiplies it by 2 and then adds 19. The result is 31. What is the number?
  5. 5.Solve: 5t + 9 = 14. What is t?
  6. 6.Solve: 9t + 11 = 38. What is t?
  7. 7.Solve: 3y + 11 = 29. What is y?
  8. 8.Solve: 6y + 3 = 87. What is y?
  9. 9.Kabir’s mother is three times as old as Kabir. Their ages add up to 16 years. How old is Kabir?
  10. 10.Priya thinks of a number, multiplies it by 4 and then adds 3. The result is 11. What is the number?
  11. 11.Vivaan thinks of a number, multiplies it by 9 and then adds 16. The result is 61. What is the number?
  12. 12.Solve: x/7 + 3 = 18. What is x?
  13. 13.Solve: x/2 + 13 = 23. What is x?
  14. 14.Meera’s mother is twice as old as Meera. Their ages add up to 21 years. How old is Meera?
  15. 15.Solve: n/7 + 19 = 33. What is n?
  16. 16.Solve: 8(p + 9) = 144. What is p?
  17. 17.Solve: 7x − 90 = 15. What is x?
  18. 18.Solve: 9(p + 5) = 135. What is p?
  19. 19.Solve: 8n + 1 = 9. What is n?
  20. 20.Gurpreet is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  21. 21.Solve: 6(y + 4) = 48. What is y?
  22. 22.Solve: 8(t + 3) = 96. What is t?
  23. 23.Rohan is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  24. 24.Solve: 9y + 13 = 85. What is y?
  25. 25.Solve: t/5 + 1 = 2. What is t?
  26. 26.Solve: 9m + 20 = 38. What is m?
  27. 27.Solve: y/9 + 17 = 22. What is y?
  28. 28.Solve: n/6 + 18 = 33. What is n?
  29. 29.Solve: 6n − 57 = 21. What is n?
  30. 30.Aarav thinks of a number, multiplies it by 9 and then adds 13. The result is 22. What is the number?
  31. 31.Solve: 2n + 17 = 39. What is n?
  32. 32.Zoya’s mother is twice as old as Zoya. Their ages add up to 15 years. How old is Zoya?
  33. 33.Aarav’s mother is three times as old as Aarav. Their ages add up to 40 years. How old is Aarav?
  34. 34.Solve: 2x + 23 = 43. What is x?
  35. 35.Rohan thinks of a number, multiplies it by 4 and then adds 16. The result is 20. What is the number?
  36. 36.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 55 years. How old is Vivaan?
  37. 37.Solve: 9y − 31 = 14. What is y?
  38. 38.Solve: 7y + 2 = 30. What is y?
  39. 39.Solve: n/9 + 10 = 16. What is n?
  40. 40.Solve: 6(n + 2) = 18. What is n?

Answer key

  1. 7
  2. 9
  3. 3
  4. 6
  5. 1
  6. 3
  7. 6
  8. 14
  9. 4
  10. 2
  11. 5
  12. 105
  13. 20
  14. 7
  15. 98
  16. 9
  17. 15
  18. 10
  19. 1
  20. 13
  21. 4
  22. 9
  23. 4
  24. 8
  25. 5
  26. 2
  27. 45
  28. 90
  29. 13
  30. 1
  31. 11
  32. 5
  33. 10
  34. 10
  35. 1
  36. 11
  37. 5
  38. 4
  39. 54
  40. 1

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