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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 239 · 40 sums
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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.Find the value of 3x − 9 when x = 5.
  2. 2.Find the value of 5y − 1 when y = 5.
  3. 3.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
  4. 4.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  5. 5.Vivaan shares m pencils equally among 6 friends. Which expression shows how many pencils each friend gets? (a) m − 6 (b) m ÷ 6 (c) m + 6 (d) 6m
  6. 6.Find the value of 4a + 6b when a = 3 and b = 7.
  7. 7.Vivaan shares p marbles equally among 5 friends. Which expression shows how many marbles each friend gets? (a) 5p (b) p − 5 (c) p + 5 (d) p ÷ 5
  8. 8.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  9. 9.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
  10. 10.Find the value of 3a + 7b when a = 7 and b = 9.
  11. 11.Solve: t + 11 = 19. What is t?
  12. 12.Solve: p − 4 = 3. What is p?
  13. 13.Find the value of 6a + 8b when a = 8 and b = 4.
  14. 14.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  15. 15.Find the value of 3y + 18 when y = 1.
  16. 16.Solve: m − 6 = 6. What is m?
  17. 17.Find the value of 6a + 3b when a = 1 and b = 2.
  18. 18.Rohan has k marbles. A friend has 4 fewer. Which expression shows how many marbles the friend has? (a) k − 4 (b) k ÷ 4 (c) k + 4 (d) 4k
  19. 19.Solve: p − 10 = 9. What is p?
  20. 20.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
  21. 21.Solve: y ÷ 6 = 11. What is y?
  22. 22.Find the value of 8a + 9b when a = 1 and b = 4.
  23. 23.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
  24. 24.Find the value of 3a + 3b when a = 1 and b = 1.
  25. 25.Dev has k balls. A friend has 2 more. Which expression shows how many balls the friend has? (a) k − 2 (b) 2k (c) k ÷ 2 (d) k + 2
  26. 26.Solve: m − 11 = 18. What is m?
  27. 27.Solve: x ÷ 8 = 6. What is x?
  28. 28.Find the value of 3t − 1 when t = 2.
  29. 29.Rahul has n shells. A friend has 2 more. Which expression shows how many shells the friend has? (a) n + 2 (b) n − 2 (c) 2n (d) n ÷ 2
  30. 30.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  31. 31.Find the value of 9a + 4b when a = 4 and b = 8.
  32. 32.Find the value of 8p − 16 when p = 3.
  33. 33.Zoya shares p marbles equally among 9 friends. Which expression shows how many marbles each friend gets? (a) p − 9 (b) p + 9 (c) 9p (d) p ÷ 9
  34. 34.Priya shares n balls equally among 6 friends. Which expression shows how many balls each friend gets? (a) n − 6 (b) 6n (c) n ÷ 6 (d) n + 6
  35. 35.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
  36. 36.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
  37. 37.Lakshmi has p shells. A friend has 8 times as many. Which expression shows how many shells the friend has? (a) p − 8 (b) 8p (c) p ÷ 8 (d) p + 8
  38. 38.Pooja has m balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) m + 6 (b) m − 6 (c) m ÷ 6 (d) 6m
  39. 39.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  40. 40.Find the value of 8m − 16 when m = 4.

Answer key

  1. 6
  2. 24
  3. 66
  4. 18
  5. m ÷ 6
  6. 54
  7. p ÷ 5
  8. 18
  9. 66
  10. 84
  11. 8
  12. 7
  13. 80
  14. 21
  15. 21
  16. 12
  17. 12
  18. k − 4
  19. 19
  20. 104
  21. 66
  22. 44
  23. 30
  24. 6
  25. k + 2
  26. 29
  27. 48
  28. 5
  29. n + 2
  30. 39
  31. 68
  32. 8
  33. p ÷ 9
  34. n ÷ 6
  35. 50
  36. 26
  37. 8p
  38. m + 6
  39. 27
  40. 16

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