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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 334 · 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.Vivaan has m shells. A friend has 3 more. Which expression shows how many shells the friend has? (a) m + 3 (b) m ÷ 3 (c) m − 3 (d) 3m
  2. 2.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
  3. 3.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
  4. 4.Isha has k flowers. A friend has 8 fewer. Which expression shows how many flowers the friend has? (a) k + 8 (b) k − 8 (c) 8k (d) k ÷ 8
  5. 5.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  6. 6.Solve: p − 10 = 2. What is p?
  7. 7.Manav has k laddoos. A friend has 9 more. Which expression shows how many laddoos the friend has? (a) k + 9 (b) 9k (c) k ÷ 9 (d) k − 9
  8. 8.Find the value of 7a + 3b when a = 1 and b = 2.
  9. 9.Riya has k balloons. A friend has 3 times as many. Which expression shows how many balloons the friend has? (a) k − 3 (b) k + 3 (c) k ÷ 3 (d) 3k
  10. 10.Solve: 11t = 165. What is t?
  11. 11.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  12. 12.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  13. 13.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
  14. 14.Find the value of 9t + 3 when t = 8.
  15. 15.Solve: p ÷ 7 = 15. What is p?
  16. 16.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  17. 17.Solve: 10y = 200. What is y?
  18. 18.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
  19. 19.Rahul shares p marbles equally among 6 friends. Which expression shows how many marbles each friend gets? (a) p − 6 (b) p + 6 (c) 6p (d) p ÷ 6
  20. 20.Lakshmi has p bananas. A friend has 3 fewer. Which expression shows how many bananas the friend has? (a) p + 3 (b) 3p (c) p ÷ 3 (d) p − 3
  21. 21.Find the value of 2x + 10 when x = 1.
  22. 22.Tara shares n marbles equally among 6 friends. Which expression shows how many marbles each friend gets? (a) n − 6 (b) n ÷ 6 (c) 6n (d) n + 6
  23. 23.Diya shares m balls equally among 6 friends. Which expression shows how many balls each friend gets? (a) 6m (b) m + 6 (c) m − 6 (d) m ÷ 6
  24. 24.Find the value of 3t + 20 when t = 10.
  25. 25.Aarav has k balls. A friend has 3 more. Which expression shows how many balls the friend has? (a) k ÷ 3 (b) k − 3 (c) k + 3 (d) 3k
  26. 26.Priya has p shells. A friend has 8 more. Which expression shows how many shells the friend has? (a) p ÷ 8 (b) 8p (c) p + 8 (d) p − 8
  27. 27.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  28. 28.Priya has p kites. A friend has 2 more. Which expression shows how many kites the friend has? (a) p − 2 (b) 2p (c) p ÷ 2 (d) p + 2
  29. 29.Solve: y + 6 = 26. What is y?
  30. 30.Kabir has n balloons. A friend has 4 fewer. Which expression shows how many balloons the friend has? (a) n − 4 (b) n + 4 (c) 4n (d) n ÷ 4
  31. 31.Diya has p crayons. A friend has 9 times as many. Which expression shows how many crayons the friend has? (a) p + 9 (b) p − 9 (c) 9p (d) p ÷ 9
  32. 32.Find the value of 2a + 4b when a = 5 and b = 1.
  33. 33.Sneha has n laddoos. A friend has 3 more. Which expression shows how many laddoos the friend has? (a) n + 3 (b) n ÷ 3 (c) 3n (d) n − 3
  34. 34.Find the value of 7y − 1 when y = 11.
  35. 35.Find the value of 8a + 5b when a = 7 and b = 9.
  36. 36.Karan shares k balls equally among 4 friends. Which expression shows how many balls each friend gets? (a) k − 4 (b) k + 4 (c) 4k (d) k ÷ 4
  37. 37.Solve: m ÷ 5 = 5. What is m?
  38. 38.Find the value of 6a + 8b when a = 1 and b = 1.
  39. 39.Find the value of 2a + 3b when a = 6 and b = 2.
  40. 40.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?

Answer key

  1. m + 3
  2. 72
  3. 60
  4. k − 8
  5. 56
  6. 12
  7. k + 9
  8. 13
  9. 3k
  10. 15
  11. 30
  12. 56
  13. 50
  14. 75
  15. 105
  16. 10
  17. 20
  18. 16
  19. p ÷ 6
  20. p − 3
  21. 12
  22. n ÷ 6
  23. m ÷ 6
  24. 50
  25. k + 3
  26. p + 8
  27. 39
  28. p + 2
  29. 20
  30. n − 4
  31. 9p
  32. 14
  33. n + 3
  34. 76
  35. 101
  36. k ÷ 4
  37. 25
  38. 14
  39. 18
  40. 45

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