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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 621 · 40 sums
TalentJR

The method (Keep the balance): 3x means 3 × x. "5 more" → + 5, "5 fewer" → − 5, "5 times" → 5n, "shared among 5" → n ÷ 5. Value of an expression: put the number in place of the letter, then work it out — 3x + 5 when x = 4 is 12 + 5 = 17. Solve x + a = b by taking a from both sides; x − a = b by adding a; ax = b by dividing by a; x ÷ a = b by multiplying by a. Check by putting your answer back into the equation.

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  1. 1.Kabir has k pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) k + 7 (b) k − 7 (c) k ÷ 7 (d) 7k
  2. 2.Find the value of 8a + 7b when a = 3 and b = 1.
  3. 3.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
  4. 4.Find the value of 9y − 5 when y = 3.
  5. 5.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  6. 6.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
  7. 7.Aditya shares k books equally among 9 friends. Which expression shows how many books each friend gets? (a) k + 9 (b) k − 9 (c) 9k (d) k ÷ 9
  8. 8.Find the value of 8a + 8b when a = 8 and b = 9.
  9. 9.Pooja has n laddoos. A friend has 8 more. Which expression shows how many laddoos the friend has? (a) n ÷ 8 (b) n + 8 (c) n − 8 (d) 8n
  10. 10.Solve: 9n = 171. What is n?
  11. 11.Find the value of 3y − 1 when y = 1.
  12. 12.Rahul shares m crayons equally among 4 friends. Which expression shows how many crayons each friend gets? (a) m + 4 (b) m ÷ 4 (c) m − 4 (d) 4m
  13. 13.Solve: x − 9 = 9. What is x?
  14. 14.Solve: m − 2 = 20. What is m?
  15. 15.Manav has n balloons. A friend has 2 times as many. Which expression shows how many balloons the friend has? (a) 2n (b) n ÷ 2 (c) n − 2 (d) n + 2
  16. 16.Ishaan shares p kites equally among 6 friends. Which expression shows how many kites each friend gets? (a) 6p (b) p + 6 (c) p − 6 (d) p ÷ 6
  17. 17.Find the value of 9a + 2b when a = 2 and b = 3.
  18. 18.Find the value of 9x + 13 when x = 6.
  19. 19.Find the value of 3m − 11 when m = 6.
  20. 20.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
  21. 21.Solve: y ÷ 7 = 14. What is y?
  22. 22.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
  23. 23.Find the value of 8p + 3 when p = 5.
  24. 24.Solve: p + 9 = 16. What is p?
  25. 25.Find the value of 8y + 18 when y = 6.
  26. 26.Solve: x + 10 = 12. What is x?
  27. 27.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
  28. 28.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?
  29. 29.Solve: t + 9 = 25. What is t?
  30. 30.Find the value of 3p + 1 when p = 7.
  31. 31.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
  32. 32.Arjun has p balloons. A friend has 4 more. Which expression shows how many balloons the friend has? (a) 4p (b) p ÷ 4 (c) p − 4 (d) p + 4
  33. 33.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
  34. 34.Aarav has k pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) k + 7 (b) 7k (c) k − 7 (d) k ÷ 7
  35. 35.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  36. 36.Meera has n shells. A friend has 4 fewer. Which expression shows how many shells the friend has? (a) n ÷ 4 (b) n + 4 (c) 4n (d) n − 4
  37. 37.Solve: 6t = 60. What is t?
  38. 38.Find the value of 6x + 1 when x = 3.
  39. 39.Find the value of 8t + 3 when t = 3.
  40. 40.Rohan shares k books equally among 4 friends. Which expression shows how many books each friend gets? (a) k − 4 (b) k + 4 (c) 4k (d) k ÷ 4

Answer key

  1. 7k
  2. 31
  3. 72
  4. 22
  5. 18
  6. 34
  7. k ÷ 9
  8. 136
  9. n + 8
  10. 19
  11. 2
  12. m ÷ 4
  13. 18
  14. 22
  15. 2n
  16. p ÷ 6
  17. 24
  18. 67
  19. 7
  20. 60
  21. 98
  22. 66
  23. 43
  24. 7
  25. 66
  26. 2
  27. 34
  28. 24
  29. 16
  30. 22
  31. 42
  32. p + 4
  33. 34
  34. 7k
  35. 24
  36. n − 4
  37. 10
  38. 19
  39. 27
  40. k ÷ 4

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