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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 99 · 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.Solve: 6y = 66. What is y?
  2. 2.Dev has p balloons. A friend has 4 more. Which expression shows how many balloons the friend has? (a) p ÷ 4 (b) p − 4 (c) p + 4 (d) 4p
  3. 3.Find the value of 7x + 9 when x = 6.
  4. 4.Find the value of 3t − 5 when t = 2.
  5. 5.Solve: p ÷ 8 = 7. What is p?
  6. 6.Aditya has k crayons. A friend has 7 times as many. Which expression shows how many crayons the friend has? (a) k ÷ 7 (b) k + 7 (c) 7k (d) k − 7
  7. 7.Find the value of 7x + 3 when x = 11.
  8. 8.Find the value of 9a + 7b when a = 9 and b = 10.
  9. 9.Zoya has k marbles. A friend has 6 more. Which expression shows how many marbles the friend has? (a) 6k (b) k ÷ 6 (c) k + 6 (d) k − 6
  10. 10.Find the value of 3x − 2 when x = 2.
  11. 11.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  12. 12.Solve: n ÷ 3 = 11. What is n?
  13. 13.Find the value of 8x − 14 when x = 2.
  14. 14.Find the value of 3a + 2b when a = 8 and b = 8.
  15. 15.Find the value of 3x + 14 when x = 8.
  16. 16.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
  17. 17.Solve: y ÷ 10 = 14. What is y?
  18. 18.Solve: p + 10 = 21. What is p?
  19. 19.Find the value of 6m − 2 when m = 1.
  20. 20.Find the value of 8a + 9b when a = 9 and b = 5.
  21. 21.Find the value of 9n + 14 when n = 11.
  22. 22.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
  23. 23.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  24. 24.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
  25. 25.Solve: 4t = 24. What is t?
  26. 26.Find the value of 5m − 17 when m = 5.
  27. 27.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  28. 28.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
  29. 29.Find the value of 6p + 1 when p = 3.
  30. 30.Find the value of 4m − 2 when m = 3.
  31. 31.Solve: 2p = 40. What is p?
  32. 32.Find the value of 2a + 5b when a = 9 and b = 3.
  33. 33.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
  34. 34.Solve: x + 4 = 19. What is x?
  35. 35.Solve: x + 12 = 18. What is x?
  36. 36.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  37. 37.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
  38. 38.Find the value of 9p + 9 when p = 11.
  39. 39.Find the value of 5a + 3b when a = 6 and b = 4.
  40. 40.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?

Answer key

  1. 11
  2. p + 4
  3. 51
  4. 1
  5. 56
  6. 7k
  7. 80
  8. 151
  9. k + 6
  10. 4
  11. 27
  12. 33
  13. 2
  14. 40
  15. 38
  16. 42
  17. 140
  18. 11
  19. 4
  20. 117
  21. 113
  22. 28
  23. 63
  24. 32
  25. 6
  26. 8
  27. 24
  28. 81
  29. 19
  30. 10
  31. 20
  32. 33
  33. 52
  34. 15
  35. 6
  36. 10
  37. 51
  38. 108
  39. 42
  40. 20

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