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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 312 · 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 n marbles equally among 2 friends. Which expression shows how many marbles each friend gets? (a) n − 2 (b) n ÷ 2 (c) n + 2 (d) 2n
  2. 2.Find the value of 8n + 10 when n = 9.
  3. 3.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
  4. 4.Rohan has n crayons. A friend has 3 times as many. Which expression shows how many crayons the friend has? (a) n ÷ 3 (b) n − 3 (c) 3n (d) n + 3
  5. 5.Find the value of 5n − 5 when n = 7.
  6. 6.Find the value of 5y + 1 when y = 2.
  7. 7.Find the value of 9x + 5 when x = 9.
  8. 8.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  9. 9.Aditya shares n marbles equally among 2 friends. Which expression shows how many marbles each friend gets? (a) n − 2 (b) n ÷ 2 (c) n + 2 (d) 2n
  10. 10.Find the value of 6y + 16 when y = 12.
  11. 11.Find the value of 2n − 12 when n = 11.
  12. 12.Solve: n + 11 = 13. What is n?
  13. 13.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  14. 14.Find the value of 6a + 4b when a = 7 and b = 1.
  15. 15.Lakshmi has p shells. A friend has 7 fewer. Which expression shows how many shells the friend has? (a) p + 7 (b) p ÷ 7 (c) p − 7 (d) 7p
  16. 16.Solve: t ÷ 11 = 4. What is t?
  17. 17.Solve: m ÷ 11 = 5. What is m?
  18. 18.Meera has k laddoos. A friend has 4 times as many. Which expression shows how many laddoos the friend has? (a) 4k (b) k − 4 (c) k ÷ 4 (d) k + 4
  19. 19.Solve: m ÷ 2 = 13. What is m?
  20. 20.Find the value of 5a + 3b when a = 7 and b = 2.
  21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
  22. 22.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
  23. 23.Find the value of 4x + 19 when x = 11.
  24. 24.Find the value of 2p + 14 when p = 1.
  25. 25.Find the value of 2a + 9b when a = 5 and b = 7.
  26. 26.Find the value of 8x − 23 when x = 3.
  27. 27.Solve: n + 5 = 9. What is n?
  28. 28.Solve: m − 7 = 10. What is m?
  29. 29.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  30. 30.Find the value of 5p − 2 when p = 4.
  31. 31.Find the value of 2a + 3b when a = 9 and b = 1.
  32. 32.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
  33. 33.Find the value of 7t − 37 when t = 6.
  34. 34.Find the value of 5x − 11 when x = 3.
  35. 35.Find the value of 5n + 16 when n = 1.
  36. 36.Find the value of 7m − 3 when m = 1.
  37. 37.Solve: 3m = 36. What is m?
  38. 38.Solve: t − 8 = 9. What is t?
  39. 39.Solve: m + 2 = 10. What is m?
  40. 40.Find the value of 7a + 7b when a = 3 and b = 4.

Answer key

  1. n ÷ 2
  2. 82
  3. 48
  4. 3n
  5. 30
  6. 11
  7. 86
  8. 42
  9. n ÷ 2
  10. 88
  11. 10
  12. 2
  13. 39
  14. 46
  15. p − 7
  16. 44
  17. 55
  18. 4k
  19. 26
  20. 41
  21. 60
  22. 14
  23. 63
  24. 16
  25. 73
  26. 1
  27. 4
  28. 17
  29. 45
  30. 18
  31. 21
  32. 48
  33. 5
  34. 4
  35. 21
  36. 4
  37. 12
  38. 17
  39. 8
  40. 49

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