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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 232 · 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.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
  2. 2.Aditya has m pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) m + 6 (b) 6m (c) m ÷ 6 (d) m − 6
  3. 3.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  4. 4.Find the value of 5y + 5 when y = 7.
  5. 5.Find the value of 5n + 14 when n = 2.
  6. 6.Find the value of 8y − 2 when y = 1.
  7. 7.Arjun shares k kites equally among 7 friends. Which expression shows how many kites each friend gets? (a) k + 7 (b) 7k (c) k ÷ 7 (d) k − 7
  8. 8.Solve: x − 3 = 4. What is x?
  9. 9.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  10. 10.Find the value of 2m + 19 when m = 5.
  11. 11.Find the value of 4a + 6b when a = 1 and b = 3.
  12. 12.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  13. 13.Find the value of 2y + 11 when y = 6.
  14. 14.Solve: 5m = 15. What is m?
  15. 15.Diya shares n pencils equally among 5 friends. Which expression shows how many pencils each friend gets? (a) n − 5 (b) n ÷ 5 (c) 5n (d) n + 5
  16. 16.Meera has k crayons. A friend has 9 fewer. Which expression shows how many crayons the friend has? (a) k − 9 (b) k ÷ 9 (c) 9k (d) k + 9
  17. 17.Solve: n + 11 = 27. What is n?
  18. 18.Solve: y ÷ 8 = 4. What is y?
  19. 19.Find the value of 2m − 7 when m = 7.
  20. 20.Solve: t − 11 = 7. What is t?
  21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
  22. 22.Arjun has k bananas. A friend has 2 times as many. Which expression shows how many bananas the friend has? (a) k ÷ 2 (b) k + 2 (c) 2k (d) k − 2
  23. 23.Lakshmi has n bananas. A friend has 4 more. Which expression shows how many bananas the friend has? (a) n ÷ 4 (b) n − 4 (c) n + 4 (d) 4n
  24. 24.Dev shares n kites equally among 9 friends. Which expression shows how many kites each friend gets? (a) n − 9 (b) n + 9 (c) n ÷ 9 (d) 9n
  25. 25.Find the value of 8a + 4b when a = 1 and b = 5.
  26. 26.Solve: y + 5 = 21. What is y?
  27. 27.Find the value of 9t − 47 when t = 11.
  28. 28.Find the value of 3t − 1 when t = 4.
  29. 29.Find the value of 2x − 1 when x = 3.
  30. 30.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  31. 31.Find the value of 2a + 2b when a = 1 and b = 5.
  32. 32.Find the value of 9a + 8b when a = 10 and b = 4.
  33. 33.Rohan has p shells. A friend has 2 fewer. Which expression shows how many shells the friend has? (a) p + 2 (b) p − 2 (c) p ÷ 2 (d) 2p
  34. 34.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  35. 35.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
  36. 36.Farhan has p balloons. A friend has 9 times as many. Which expression shows how many balloons the friend has? (a) p + 9 (b) p − 9 (c) p ÷ 9 (d) 9p
  37. 37.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
  38. 38.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
  39. 39.Solve: 10n = 70. What is n?
  40. 40.Solve: 5m = 90. What is m?

Answer key

  1. 72
  2. m + 6
  3. 12
  4. 40
  5. 24
  6. 6
  7. k ÷ 7
  8. 7
  9. 30
  10. 29
  11. 22
  12. 21
  13. 23
  14. 3
  15. n ÷ 5
  16. k − 9
  17. 16
  18. 32
  19. 7
  20. 18
  21. 50
  22. 2k
  23. n + 4
  24. n ÷ 9
  25. 28
  26. 16
  27. 52
  28. 11
  29. 5
  30. 78
  31. 12
  32. 122
  33. p − 2
  34. 30
  35. 44
  36. 9p
  37. 84
  38. 52
  39. 7
  40. 18

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