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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 544 · 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 E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
  2. 2.Find the value of 3a + 4b when a = 3 and b = 8.
  3. 3.Solve: 5x = 50. What is x?
  4. 4.Find the value of 2a + 2b when a = 2 and b = 1.
  5. 5.Find the value of 7a + 3b when a = 2 and b = 3.
  6. 6.Find the value of 2m − 8 when m = 7.
  7. 7.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
  8. 8.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  9. 9.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
  10. 10.Solve: 5x = 75. What is x?
  11. 11.Solve: n ÷ 10 = 6. What is n?
  12. 12.Find the value of 3m − 4 when m = 2.
  13. 13.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
  14. 14.Find the value of 2t + 8 when t = 1.
  15. 15.Priya has k bananas. A friend has 7 more. Which expression shows how many bananas the friend has? (a) 7k (b) k ÷ 7 (c) k + 7 (d) k − 7
  16. 16.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
  17. 17.Find the value of 5a + 6b when a = 9 and b = 5.
  18. 18.Find the value of 8p + 18 when p = 7.
  19. 19.Find the value of 8x + 5 when x = 2.
  20. 20.Solve: y + 5 = 9. What is y?
  21. 21.Find the value of 3a + 4b when a = 10 and b = 6.
  22. 22.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
  23. 23.Solve: x ÷ 3 = 10. What is x?
  24. 24.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  25. 25.Gurpreet has n kites. A friend has 9 more. Which expression shows how many kites the friend has? (a) n − 9 (b) 9n (c) n ÷ 9 (d) n + 9
  26. 26.Find the value of 2a + 4b when a = 2 and b = 8.
  27. 27.Solve: y + 7 = 25. What is y?
  28. 28.Solve: y ÷ 11 = 19. What is y?
  29. 29.Find the value of 2a + 7b when a = 10 and b = 10.
  30. 30.Find the value of 6a + 9b when a = 3 and b = 4.
  31. 31.Solve: t + 8 = 26. What is t?
  32. 32.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  33. 33.Solve: t − 9 = 2. What is t?
  34. 34.Find the value of 5m − 13 when m = 3.
  35. 35.Solve: m ÷ 12 = 11. What is m?
  36. 36.Joseph has n balls. A friend has 2 times as many. Which expression shows how many balls the friend has? (a) n ÷ 2 (b) n + 2 (c) n − 2 (d) 2n
  37. 37.Solve: p − 3 = 9. What is p?
  38. 38.Solve: m + 8 = 18. What is m?
  39. 39.Find the value of 2a + 4b when a = 10 and b = 5.
  40. 40.Solve: x ÷ 12 = 4. What is x?

Answer key

  1. 104
  2. 41
  3. 10
  4. 6
  5. 23
  6. 6
  7. 120
  8. 24
  9. 50
  10. 15
  11. 60
  12. 2
  13. 42
  14. 10
  15. k + 7
  16. 32
  17. 75
  18. 74
  19. 21
  20. 4
  21. 54
  22. 32
  23. 30
  24. 10
  25. n + 9
  26. 36
  27. 18
  28. 209
  29. 90
  30. 54
  31. 18
  32. 78
  33. 11
  34. 2
  35. 132
  36. 2n
  37. 12
  38. 10
  39. 40
  40. 48

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