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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 591 · 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.Joseph shares k balls equally among 3 friends. Which expression shows how many balls each friend gets? (a) k − 3 (b) k + 3 (c) k ÷ 3 (d) 3k
  2. 2.Solve: 3p = 9. What is p?
  3. 3.Find the value of 4a + 7b when a = 2 and b = 3.
  4. 4.Find the value of 3p − 9 when p = 4.
  5. 5.Solve: 11p = 110. What is p?
  6. 6.Find the value of 4n − 9 when n = 3.
  7. 7.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
  8. 8.Find the value of 9t − 17 when t = 11.
  9. 9.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
  10. 10.Tara has n marbles. A friend has 3 fewer. Which expression shows how many marbles the friend has? (a) 3n (b) n + 3 (c) n − 3 (d) n ÷ 3
  11. 11.Solve: t ÷ 11 = 12. What is t?
  12. 12.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
  13. 13.Find the value of 3t − 18 when t = 8.
  14. 14.Solve: t − 3 = 2. What is t?
  15. 15.Find the value of 5p − 6 when p = 9.
  16. 16.Find the value of 4t − 6 when t = 2.
  17. 17.Find the value of 4a + 5b when a = 6 and b = 2.
  18. 18.Find the value of 7y − 3 when y = 2.
  19. 19.Find the value of 4a + 3b when a = 10 and b = 8.
  20. 20.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
  21. 21.Find the value of 6m + 10 when m = 9.
  22. 22.Find the value of 6t − 31 when t = 8.
  23. 23.Find the value of 3y + 7 when y = 6.
  24. 24.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
  25. 25.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  26. 26.Solve: y ÷ 9 = 3. What is y?
  27. 27.Find the value of 2n − 10 when n = 6.
  28. 28.Find the value of 4t − 43 when t = 11.
  29. 29.Find the value of 9a + 9b when a = 3 and b = 3.
  30. 30.Solve: y − 3 = 12. What is y?
  31. 31.Solve: t − 5 = 14. What is t?
  32. 32.Sneha has m kites. A friend has 3 times as many. Which expression shows how many kites the friend has? (a) m ÷ 3 (b) 3m (c) m − 3 (d) m + 3
  33. 33.Lakshmi shares n bananas equally among 4 friends. Which expression shows how many bananas each friend gets? (a) n − 4 (b) n + 4 (c) 4n (d) n ÷ 4
  34. 34.Find the value of 9n − 42 when n = 5.
  35. 35.Find the value of 3n + 20 when n = 6.
  36. 36.Ishaan has n books. A friend has 2 more. Which expression shows how many books the friend has? (a) n ÷ 2 (b) n − 2 (c) 2n (d) n + 2
  37. 37.Solve: 3n = 21. What is n?
  38. 38.Find the value of 5m + 17 when m = 9.
  39. 39.Find the value of 2m − 1 when m = 2.
  40. 40.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?

Answer key

  1. k ÷ 3
  2. 3
  3. 29
  4. 3
  5. 10
  6. 3
  7. 80
  8. 82
  9. 36
  10. n − 3
  11. 132
  12. 52
  13. 6
  14. 5
  15. 39
  16. 2
  17. 34
  18. 11
  19. 64
  20. 120
  21. 64
  22. 17
  23. 25
  24. 60
  25. 39
  26. 27
  27. 2
  28. 1
  29. 54
  30. 15
  31. 19
  32. 3m
  33. n ÷ 4
  34. 3
  35. 38
  36. n + 2
  37. 7
  38. 62
  39. 3
  40. 10

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