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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 372 · 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 9a + 8b when a = 2 and b = 5.
  2. 2.Find the value of 4a + 6b when a = 6 and b = 9.
  3. 3.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
  4. 4.Find the value of 3a + 8b when a = 9 and b = 5.
  5. 5.Sneha shares n kites equally among 9 friends. Which expression shows how many kites each friend gets? (a) 9n (b) n ÷ 9 (c) n − 9 (d) n + 9
  6. 6.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  7. 7.Rahul shares n balloons equally among 5 friends. Which expression shows how many balloons each friend gets? (a) n − 5 (b) n + 5 (c) 5n (d) n ÷ 5
  8. 8.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  9. 9.Find the value of 4m − 5 when m = 6.
  10. 10.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
  11. 11.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
  12. 12.Find the value of 8a + 5b when a = 2 and b = 5.
  13. 13.Rahul has p marbles. A friend has 5 times as many. Which expression shows how many marbles the friend has? (a) 5p (b) p + 5 (c) p − 5 (d) p ÷ 5
  14. 14.Rohan has m kites. A friend has 7 times as many. Which expression shows how many kites the friend has? (a) 7m (b) m − 7 (c) m + 7 (d) m ÷ 7
  15. 15.Find the value of 3x + 15 when x = 5.
  16. 16.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
  17. 17.Solve: 11p = 132. What is p?
  18. 18.Find the value of 3n − 21 when n = 12.
  19. 19.Find the value of 8t − 40 when t = 10.
  20. 20.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  21. 21.Riya has m bananas. A friend has 6 fewer. Which expression shows how many bananas the friend has? (a) m ÷ 6 (b) m + 6 (c) 6m (d) m − 6
  22. 22.Solve: m + 12 = 19. What is m?
  23. 23.Isha has n shells. A friend has 2 times as many. Which expression shows how many shells the friend has? (a) n ÷ 2 (b) 2n (c) n − 2 (d) n + 2
  24. 24.Find the value of 5x + 10 when x = 1.
  25. 25.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  26. 26.Find the value of 7a + 6b when a = 2 and b = 6.
  27. 27.Priya has p balls. A friend has 2 times as many. Which expression shows how many balls the friend has? (a) p ÷ 2 (b) p + 2 (c) 2p (d) p − 2
  28. 28.Saanvi has m flowers. A friend has 6 fewer. Which expression shows how many flowers the friend has? (a) m − 6 (b) 6m (c) m + 6 (d) m ÷ 6
  29. 29.Find the value of 9a + 5b when a = 6 and b = 1.
  30. 30.Find the value of 4a + 2b when a = 10 and b = 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.Find the value of 2a + 2b when a = 6 and b = 3.
  33. 33.Solve: 8p = 8. What is p?
  34. 34.Aarav has n balls. A friend has 2 times as many. Which expression shows how many balls the friend has? (a) 2n (b) n ÷ 2 (c) n − 2 (d) n + 2
  35. 35.Find the value of 8p + 15 when p = 9.
  36. 36.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
  37. 37.Dev has k balls. A friend has 9 more. Which expression shows how many balls the friend has? (a) k − 9 (b) k + 9 (c) 9k (d) k ÷ 9
  38. 38.Solve: p + 7 = 23. What is p?
  39. 39.Find the value of 2a + 3b when a = 3 and b = 2.
  40. 40.Find the value of 3p + 12 when p = 12.

Answer key

  1. 58
  2. 78
  3. 14
  4. 67
  5. n ÷ 9
  6. 10
  7. n ÷ 5
  8. 15
  9. 19
  10. 34
  11. 92
  12. 41
  13. 5p
  14. 7m
  15. 30
  16. 16
  17. 12
  18. 15
  19. 40
  20. 63
  21. m − 6
  22. 7
  23. 2n
  24. 15
  25. 10
  26. 50
  27. 2p
  28. m − 6
  29. 59
  30. 54
  31. 42
  32. 18
  33. 1
  34. 2n
  35. 87
  36. 44
  37. k + 9
  38. 16
  39. 12
  40. 48

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