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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 261 · 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 T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
  2. 2.Find the value of 3a + 3b when a = 1 and b = 5.
  3. 3.Find the value of 7y + 12 when y = 9.
  4. 4.Find the value of 5y − 12 when y = 3.
  5. 5.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 16 letters?
  6. 6.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  7. 7.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  8. 8.Find the value of 5a + 6b when a = 1 and b = 4.
  9. 9.Find the value of 8p + 7 when p = 12.
  10. 10.Find the value of 4a + 2b when a = 2 and b = 6.
  11. 11.Find the value of 7m − 11 when m = 3.
  12. 12.Find the value of 2n − 13 when n = 8.
  13. 13.Find the value of 3a + 9b when a = 3 and b = 10.
  14. 14.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
  15. 15.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
  16. 16.Find the value of 6a + 7b when a = 4 and b = 8.
  17. 17.Vivaan has k books. A friend has 9 times as many. Which expression shows how many books the friend has? (a) k ÷ 9 (b) k + 9 (c) k − 9 (d) 9k
  18. 18.Solve: 5n = 50. What is n?
  19. 19.Find the value of 3n + 13 when n = 12.
  20. 20.Solve: 8n = 88. What is n?
  21. 21.Find the value of 3a + 8b when a = 3 and b = 2.
  22. 22.Find the value of 6a + 9b when a = 6 and b = 8.
  23. 23.Solve: m ÷ 7 = 11. What is m?
  24. 24.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  25. 25.Find the value of 7m − 22 when m = 4.
  26. 26.Find the value of 3y − 22 when y = 10.
  27. 27.Solve: 3y = 36. What is y?
  28. 28.Solve: 12x = 168. What is x?
  29. 29.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
  30. 30.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
  31. 31.Solve: 10p = 160. What is p?
  32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
  33. 33.Find the value of 6a + 9b when a = 1 and b = 5.
  34. 34.Find the value of 8x + 6 when x = 9.
  35. 35.Find the value of 2a + 5b when a = 1 and b = 10.
  36. 36.Find the value of 2n + 12 when n = 1.
  37. 37.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
  38. 38.Find the value of 9a + 9b when a = 8 and b = 4.
  39. 39.Find the value of 7m + 6 when m = 3.
  40. 40.Solve: y ÷ 12 = 20. What is y?

Answer key

  1. 54
  2. 18
  3. 75
  4. 3
  5. 64
  6. 39
  7. 57
  8. 29
  9. 103
  10. 20
  11. 10
  12. 3
  13. 99
  14. 84
  15. 48
  16. 80
  17. 9k
  18. 10
  19. 49
  20. 11
  21. 25
  22. 108
  23. 77
  24. 57
  25. 6
  26. 8
  27. 12
  28. 14
  29. 48
  30. 60
  31. 16
  32. 34
  33. 51
  34. 78
  35. 52
  36. 14
  37. 90
  38. 108
  39. 27
  40. 240

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