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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 251 · 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 U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  2. 2.Joseph has k laddoos. A friend has 7 fewer. Which expression shows how many laddoos the friend has? (a) k + 7 (b) k − 7 (c) 7k (d) k ÷ 7
  3. 3.Ishaan has n shells. A friend has 2 more. Which expression shows how many shells the friend has? (a) 2n (b) n − 2 (c) n ÷ 2 (d) n + 2
  4. 4.Find the value of 3a + 6b when a = 5 and b = 6.
  5. 5.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
  6. 6.Find the value of 3n + 6 when n = 11.
  7. 7.Find the value of 8t + 16 when t = 9.
  8. 8.Find the value of 3p − 1 when p = 1.
  9. 9.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  10. 10.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
  11. 11.Tara shares n crayons equally among 4 friends. Which expression shows how many crayons each friend gets? (a) 4n (b) n ÷ 4 (c) n − 4 (d) n + 4
  12. 12.Find the value of 6a + 6b when a = 6 and b = 10.
  13. 13.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  14. 14.Find the value of 7x + 8 when x = 1.
  15. 15.Farhan has p balloons. A friend has 5 fewer. Which expression shows how many balloons the friend has? (a) p ÷ 5 (b) 5p (c) p − 5 (d) p + 5
  16. 16.Find the value of 7m − 11 when m = 5.
  17. 17.Zoya has m balloons. A friend has 6 fewer. Which expression shows how many balloons the friend has? (a) 6m (b) m ÷ 6 (c) m + 6 (d) m − 6
  18. 18.Joseph has n crayons. A friend has 7 more. Which expression shows how many crayons the friend has? (a) n + 7 (b) n − 7 (c) n ÷ 7 (d) 7n
  19. 19.Joseph has m pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) 6m (b) m + 6 (c) m ÷ 6 (d) m − 6
  20. 20.Find the value of 3a + 3b when a = 4 and b = 8.
  21. 21.Find the value of 2a + 8b when a = 1 and b = 8.
  22. 22.Solve: x ÷ 5 = 11. What is x?
  23. 23.Solve: t ÷ 8 = 18. What is t?
  24. 24.Saanvi has m books. A friend has 3 more. Which expression shows how many books the friend has? (a) 3m (b) m ÷ 3 (c) m − 3 (d) m + 3
  25. 25.Find the value of 5x + 4 when x = 12.
  26. 26.Solve: m ÷ 3 = 18. What is m?
  27. 27.Isha has n bananas. A friend has 2 more. Which expression shows how many bananas the friend has? (a) n ÷ 2 (b) n − 2 (c) 2n (d) n + 2
  28. 28.Find the value of 7a + 7b when a = 8 and b = 1.
  29. 29.Find the value of 3t + 6 when t = 7.
  30. 30.Find the value of 6a + 2b when a = 2 and b = 4.
  31. 31.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  32. 32.Find the value of 6y + 16 when y = 5.
  33. 33.Find the value of 3m + 6 when m = 8.
  34. 34.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 18 letters?
  35. 35.Find the value of 8t + 9 when t = 2.
  36. 36.Farhan has n balls. A friend has 3 times as many. Which expression shows how many balls the friend has? (a) n − 3 (b) 3n (c) n + 3 (d) n ÷ 3
  37. 37.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  38. 38.Find the value of 4a + 4b when a = 1 and b = 9.
  39. 39.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  40. 40.Find the value of 2x − 14 when x = 8.

Answer key

  1. 63
  2. k − 7
  3. n + 2
  4. 51
  5. 26
  6. 39
  7. 88
  8. 2
  9. 24
  10. 38
  11. n ÷ 4
  12. 96
  13. 39
  14. 15
  15. p − 5
  16. 24
  17. m − 6
  18. n + 7
  19. m + 6
  20. 36
  21. 66
  22. 55
  23. 144
  24. m + 3
  25. 64
  26. 54
  27. n + 2
  28. 63
  29. 27
  30. 20
  31. 56
  32. 46
  33. 30
  34. 72
  35. 25
  36. 3n
  37. 39
  38. 40
  39. 63
  40. 2

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