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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 569 · 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 5a + 3b when a = 2 and b = 9.
  2. 2.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  3. 3.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  4. 4.Find the value of 8a + 3b when a = 1 and b = 6.
  5. 5.Find the value of 3m − 1 when m = 1.
  6. 6.Find the value of 3m + 18 when m = 11.
  7. 7.Pooja has k marbles. A friend has 3 more. Which expression shows how many marbles the friend has? (a) k + 3 (b) k − 3 (c) k ÷ 3 (d) 3k
  8. 8.Lakshmi has k shells. A friend has 5 times as many. Which expression shows how many shells the friend has? (a) k + 5 (b) k ÷ 5 (c) 5k (d) k − 5
  9. 9.Solve: y − 10 = 18. What is y?
  10. 10.Find the value of 8p + 6 when p = 1.
  11. 11.Find the value of 3n − 2 when n = 11.
  12. 12.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
  13. 13.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
  14. 14.Kavya has p marbles. A friend has 9 more. Which expression shows how many marbles the friend has? (a) p ÷ 9 (b) p + 9 (c) 9p (d) p − 9
  15. 15.Ishaan has n crayons. A friend has 7 more. Which expression shows how many crayons the friend has? (a) 7n (b) n + 7 (c) n ÷ 7 (d) n − 7
  16. 16.Vivaan has p flowers. A friend has 8 times as many. Which expression shows how many flowers the friend has? (a) p − 8 (b) p + 8 (c) p ÷ 8 (d) 8p
  17. 17.Gurpreet has k flowers. A friend has 7 more. Which expression shows how many flowers the friend has? (a) k − 7 (b) 7k (c) k + 7 (d) k ÷ 7
  18. 18.Find the value of 9t + 19 when t = 6.
  19. 19.Solve: p − 2 = 11. What is p?
  20. 20.Find the value of 4a + 7b when a = 2 and b = 7.
  21. 21.Kabir has m balloons. A friend has 5 fewer. Which expression shows how many balloons the friend has? (a) m + 5 (b) m − 5 (c) 5m (d) m ÷ 5
  22. 22.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?
  23. 23.Solve: n + 11 = 14. What is n?
  24. 24.Find the value of 7m − 52 when m = 10.
  25. 25.Solve: m − 11 = 15. What is m?
  26. 26.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
  27. 27.Find the value of 5x − 27 when x = 11.
  28. 28.Solve: 11t = 176. What is t?
  29. 29.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
  30. 30.Find the value of 9a + 7b when a = 9 and b = 1.
  31. 31.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  32. 32.Kabir has n pencils. A friend has 6 fewer. Which expression shows how many pencils the friend has? (a) 6n (b) n + 6 (c) n ÷ 6 (d) n − 6
  33. 33.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
  34. 34.Joseph has m balloons. A friend has 8 more. Which expression shows how many balloons the friend has? (a) m − 8 (b) m ÷ 8 (c) m + 8 (d) 8m
  35. 35.Solve: x + 11 = 29. What is x?
  36. 36.Find the value of 6a + 8b when a = 10 and b = 8.
  37. 37.Find the value of 3a + 9b when a = 6 and b = 1.
  38. 38.Find the value of 8m + 14 when m = 4.
  39. 39.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
  40. 40.Pooja shares p mangoes equally among 9 friends. Which expression shows how many mangoes each friend gets? (a) p ÷ 9 (b) p + 9 (c) p − 9 (d) 9p

Answer key

  1. 37
  2. 27
  3. 36
  4. 26
  5. 2
  6. 51
  7. k + 3
  8. 5k
  9. 28
  10. 14
  11. 31
  12. 84
  13. 104
  14. p + 9
  15. n + 7
  16. 8p
  17. k + 7
  18. 73
  19. 13
  20. 57
  21. m − 5
  22. 20
  23. 3
  24. 18
  25. 26
  26. 16
  27. 28
  28. 16
  29. 84
  30. 88
  31. 69
  32. n − 6
  33. 44
  34. m + 8
  35. 18
  36. 124
  37. 27
  38. 46
  39. 52
  40. p ÷ 9

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