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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 541 · 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 6y + 14 when y = 10.
  2. 2.Sneha has k marbles. A friend has 3 more. Which expression shows how many marbles the friend has? (a) k ÷ 3 (b) k − 3 (c) 3k (d) k + 3
  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.Joseph has k laddoos. A friend has 3 times as many. Which expression shows how many laddoos the friend has? (a) k + 3 (b) k ÷ 3 (c) k − 3 (d) 3k
  5. 5.Kabir shares p mangoes equally among 4 friends. Which expression shows how many mangoes each friend gets? (a) p ÷ 4 (b) p + 4 (c) p − 4 (d) 4p
  6. 6.Find the value of 2m − 1 when m = 6.
  7. 7.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
  8. 8.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  9. 9.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  10. 10.Ishaan has n marbles. A friend has 5 times as many. Which expression shows how many marbles the friend has? (a) n + 5 (b) 5n (c) n ÷ 5 (d) n − 5
  11. 11.Farhan has k flowers. A friend has 7 more. Which expression shows how many flowers the friend has? (a) 7k (b) k ÷ 7 (c) k − 7 (d) k + 7
  12. 12.Solve: 11n = 209. What is n?
  13. 13.Manav has n mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) n ÷ 3 (b) n − 3 (c) n + 3 (d) 3n
  14. 14.Karan shares m balloons equally among 3 friends. Which expression shows how many balloons each friend gets? (a) m + 3 (b) 3m (c) m ÷ 3 (d) m − 3
  15. 15.Find the value of 9x + 1 when x = 1.
  16. 16.Solve: 7y = 7. What is y?
  17. 17.Pooja has p bananas. A friend has 2 fewer. Which expression shows how many bananas the friend has? (a) p ÷ 2 (b) 2p (c) p + 2 (d) p − 2
  18. 18.Solve: t + 5 = 23. What is t?
  19. 19.Gurpreet shares n balloons equally among 7 friends. Which expression shows how many balloons each friend gets? (a) n ÷ 7 (b) n − 7 (c) 7n (d) n + 7
  20. 20.Find the value of 7p − 6 when p = 2.
  21. 21.Karan has k flowers. A friend has 8 more. Which expression shows how many flowers the friend has? (a) k − 8 (b) k ÷ 8 (c) k + 8 (d) 8k
  22. 22.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
  23. 23.Find the value of 7a + 2b when a = 4 and b = 9.
  24. 24.Find the value of 4y + 2 when y = 12.
  25. 25.Farhan has m flowers. A friend has 9 more. Which expression shows how many flowers the friend has? (a) m − 9 (b) 9m (c) m ÷ 9 (d) m + 9
  26. 26.Find the value of 4y + 13 when y = 1.
  27. 27.Solve: n − 4 = 4. What is n?
  28. 28.Find the value of 6y + 1 when y = 7.
  29. 29.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  30. 30.Find the value of 7x − 8 when x = 3.
  31. 31.Find the value of 6m − 1 when m = 1.
  32. 32.Find the value of 8t + 2 when t = 4.
  33. 33.Find the value of 4y − 2 when y = 1.
  34. 34.Manav has n pencils. A friend has 4 times as many. Which expression shows how many pencils the friend has? (a) n + 4 (b) 4n (c) n − 4 (d) n ÷ 4
  35. 35.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  36. 36.Find the value of 4a + 7b when a = 2 and b = 1.
  37. 37.Solve: 3t = 45. What is t?
  38. 38.Solve: n − 9 = 11. What is n?
  39. 39.Solve: t + 12 = 32. What is t?
  40. 40.Find the value of 7a + 8b when a = 7 and b = 2.

Answer key

  1. 74
  2. k + 3
  3. 14
  4. 3k
  5. p ÷ 4
  6. 11
  7. 46
  8. 69
  9. 24
  10. 5n
  11. k + 7
  12. 19
  13. n + 3
  14. m ÷ 3
  15. 10
  16. 1
  17. p − 2
  18. 18
  19. n ÷ 7
  20. 8
  21. k + 8
  22. 48
  23. 46
  24. 50
  25. m + 9
  26. 17
  27. 8
  28. 43
  29. 24
  30. 13
  31. 5
  32. 34
  33. 2
  34. 4n
  35. 39
  36. 15
  37. 15
  38. 20
  39. 20
  40. 65

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