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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 221 · 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.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  2. 2.Rohan has n books. A friend has 5 times as many. Which expression shows how many books the friend has? (a) n − 5 (b) n + 5 (c) 5n (d) n ÷ 5
  3. 3.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
  4. 4.Find the value of 9x − 13 when x = 6.
  5. 5.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
  6. 6.Sneha shares n pencils equally among 2 friends. Which expression shows how many pencils each friend gets? (a) 2n (b) n ÷ 2 (c) n − 2 (d) n + 2
  7. 7.Kavya shares p pencils equally among 4 friends. Which expression shows how many pencils each friend gets? (a) p ÷ 4 (b) 4p (c) p − 4 (d) p + 4
  8. 8.Find the value of 4n − 4 when n = 3.
  9. 9.Find the value of 5n + 10 when n = 6.
  10. 10.Farhan has m marbles. A friend has 7 more. Which expression shows how many marbles the friend has? (a) 7m (b) m + 7 (c) m ÷ 7 (d) m − 7
  11. 11.Find the value of 2p + 17 when p = 9.
  12. 12.Find the value of 2a + 5b when a = 2 and b = 4.
  13. 13.Solve: p + 3 = 4. What is p?
  14. 14.Find the value of 9a + 6b when a = 1 and b = 5.
  15. 15.Isha has m bananas. A friend has 9 times as many. Which expression shows how many bananas the friend has? (a) m − 9 (b) m ÷ 9 (c) m + 9 (d) 9m
  16. 16.Lakshmi has k balloons. A friend has 5 more. Which expression shows how many balloons the friend has? (a) k ÷ 5 (b) k + 5 (c) 5k (d) k − 5
  17. 17.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
  18. 18.Sneha shares p balls equally among 4 friends. Which expression shows how many balls each friend gets? (a) p + 4 (b) 4p (c) p ÷ 4 (d) p − 4
  19. 19.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  20. 20.Find the value of 2x − 13 when x = 11.
  21. 21.Riya shares p bananas equally among 8 friends. Which expression shows how many bananas each friend gets? (a) 8p (b) p − 8 (c) p + 8 (d) p ÷ 8
  22. 22.Vivaan shares n crayons equally among 4 friends. Which expression shows how many crayons each friend gets? (a) n ÷ 4 (b) n + 4 (c) n − 4 (d) 4n
  23. 23.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  24. 24.Solve: t − 9 = 4. What is t?
  25. 25.Find the value of 9x − 90 when x = 11.
  26. 26.Find the value of 5m + 9 when m = 9.
  27. 27.Find the value of 7x + 18 when x = 12.
  28. 28.Solve: 12y = 180. What is y?
  29. 29.Saanvi shares n balls equally among 5 friends. Which expression shows how many balls each friend gets? (a) n − 5 (b) n + 5 (c) 5n (d) n ÷ 5
  30. 30.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
  31. 31.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  32. 32.Find the value of 5m + 10 when m = 7.
  33. 33.Find the value of 5p + 5 when p = 6.
  34. 34.Find the value of 5x − 26 when x = 10.
  35. 35.Find the value of 5a + 5b when a = 10 and b = 6.
  36. 36.Solve: 9y = 153. What is y?
  37. 37.Find the value of 9m + 18 when m = 12.
  38. 38.Find the value of 5x + 16 when x = 9.
  39. 39.Solve: 11m = 77. What is m?
  40. 40.Manav has p kites. A friend has 8 more. Which expression shows how many kites the friend has? (a) 8p (b) p − 8 (c) p + 8 (d) p ÷ 8

Answer key

  1. 33
  2. 5n
  3. 38
  4. 41
  5. 32
  6. n ÷ 2
  7. p ÷ 4
  8. 8
  9. 40
  10. m + 7
  11. 35
  12. 24
  13. 1
  14. 39
  15. 9m
  16. k + 5
  17. 14
  18. p ÷ 4
  19. 27
  20. 9
  21. p ÷ 8
  22. n ÷ 4
  23. 56
  24. 13
  25. 9
  26. 54
  27. 102
  28. 15
  29. n ÷ 5
  30. 36
  31. 40
  32. 45
  33. 35
  34. 24
  35. 80
  36. 17
  37. 126
  38. 61
  39. 7
  40. p + 8

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