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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 451 · 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.Find the value of 8a + 5b when a = 5 and b = 7.
  2. 2.Solve: p − 3 = 1. What is p?
  3. 3.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
  4. 4.Solve: 3x = 39. What is x?
  5. 5.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
  6. 6.Find the value of 6a + 6b when a = 4 and b = 6.
  7. 7.Arjun has n bananas. A friend has 6 fewer. Which expression shows how many bananas the friend has? (a) n ÷ 6 (b) n − 6 (c) 6n (d) n + 6
  8. 8.Find the value of 9a + 5b when a = 1 and b = 5.
  9. 9.Solve: m − 9 = 13. What is m?
  10. 10.Find the value of 4a + 5b when a = 10 and b = 10.
  11. 11.Solve: t ÷ 9 = 3. What is t?
  12. 12.Priya has p laddoos. A friend has 8 fewer. Which expression shows how many laddoos the friend has? (a) p − 8 (b) p ÷ 8 (c) 8p (d) p + 8
  13. 13.Find the value of 3a + 9b when a = 9 and b = 2.
  14. 14.Riya has n kites. A friend has 4 times as many. Which expression shows how many kites the friend has? (a) n + 4 (b) n ÷ 4 (c) 4n (d) n − 4
  15. 15.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
  16. 16.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  17. 17.Solve: x − 5 = 1. What is x?
  18. 18.Ananya has k pencils. A friend has 6 fewer. Which expression shows how many pencils the friend has? (a) 6k (b) k + 6 (c) k ÷ 6 (d) k − 6
  19. 19.Nisha has n mangoes. A friend has 6 more. Which expression shows how many mangoes the friend has? (a) n + 6 (b) n ÷ 6 (c) n − 6 (d) 6n
  20. 20.Ishaan shares m crayons equally among 6 friends. Which expression shows how many crayons each friend gets? (a) m ÷ 6 (b) 6m (c) m + 6 (d) m − 6
  21. 21.Find the value of 3x − 2 when x = 5.
  22. 22.Aarav has m crayons. A friend has 7 more. Which expression shows how many crayons the friend has? (a) m ÷ 7 (b) m + 7 (c) m − 7 (d) 7m
  23. 23.Find the value of 4a + 9b when a = 7 and b = 1.
  24. 24.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
  25. 25.Find the value of 3n + 10 when n = 8.
  26. 26.Solve: m + 6 = 22. What is m?
  27. 27.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 11 letters?
  28. 28.Dev has k pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) 7k (b) k + 7 (c) k − 7 (d) k ÷ 7
  29. 29.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  30. 30.Find the value of 4x − 3 when x = 3.
  31. 31.Karan has m laddoos. A friend has 3 times as many. Which expression shows how many laddoos the friend has? (a) m + 3 (b) 3m (c) m − 3 (d) m ÷ 3
  32. 32.Find the value of 7x + 18 when x = 6.
  33. 33.Find the value of 7a + 2b when a = 3 and b = 3.
  34. 34.Kabir shares k mangoes equally among 6 friends. Which expression shows how many mangoes each friend gets? (a) k ÷ 6 (b) k + 6 (c) 6k (d) k − 6
  35. 35.Joseph shares p crayons equally among 2 friends. Which expression shows how many crayons each friend gets? (a) p − 2 (b) p ÷ 2 (c) p + 2 (d) 2p
  36. 36.Find the value of 9a + 7b when a = 1 and b = 6.
  37. 37.Find the value of 3a + 6b when a = 10 and b = 1.
  38. 38.Rahul has n kites. A friend has 5 fewer. Which expression shows how many kites the friend has? (a) n + 5 (b) 5n (c) n − 5 (d) n ÷ 5
  39. 39.Find the value of 7y − 36 when y = 10.
  40. 40.Nisha has k balls. A friend has 2 more. Which expression shows how many balls the friend has? (a) 2k (b) k ÷ 2 (c) k − 2 (d) k + 2

Answer key

  1. 75
  2. 4
  3. 36
  4. 13
  5. 24
  6. 60
  7. n − 6
  8. 34
  9. 22
  10. 90
  11. 27
  12. p − 8
  13. 45
  14. 4n
  15. 32
  16. 30
  17. 6
  18. k − 6
  19. n + 6
  20. m ÷ 6
  21. 13
  22. m + 7
  23. 37
  24. 84
  25. 34
  26. 16
  27. 44
  28. 7k
  29. 27
  30. 9
  31. 3m
  32. 60
  33. 27
  34. k ÷ 6
  35. p ÷ 2
  36. 51
  37. 36
  38. n − 5
  39. 34
  40. k + 2

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