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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 457 · 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.Find the value of 2a + 2b when a = 3 and b = 1.
  2. 2.Find the value of 6m − 9 when m = 9.
  3. 3.Find the value of 3n + 16 when n = 12.
  4. 4.Find the value of 7a + 5b when a = 2 and b = 1.
  5. 5.Solve: p ÷ 6 = 11. What is p?
  6. 6.Solve: x + 6 = 19. What is x?
  7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
  8. 8.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  9. 9.Solve: m ÷ 6 = 12. What is m?
  10. 10.Solve: 7x = 105. What is x?
  11. 11.Find the value of 7m + 11 when m = 6.
  12. 12.Find the value of 6a + 9b when a = 4 and b = 3.
  13. 13.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  14. 14.Find the value of 2a + 5b when a = 6 and b = 7.
  15. 15.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
  16. 16.Find the value of 9x − 69 when x = 8.
  17. 17.Find the value of 8a + 9b when a = 9 and b = 9.
  18. 18.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  19. 19.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  20. 20.Aarav has k balloons. A friend has 8 times as many. Which expression shows how many balloons the friend has? (a) 8k (b) k ÷ 8 (c) k − 8 (d) k + 8
  21. 21.Find the value of 8n + 18 when n = 2.
  22. 22.Find the value of 6a + 5b when a = 4 and b = 1.
  23. 23.Find the value of 5y + 4 when y = 12.
  24. 24.Find the value of 4m + 9 when m = 4.
  25. 25.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
  26. 26.Find the value of 3p + 15 when p = 12.
  27. 27.Find the value of 7t − 7 when t = 3.
  28. 28.Find the value of 7a + 3b when a = 7 and b = 5.
  29. 29.Find the value of 5a + 8b when a = 10 and b = 10.
  30. 30.Find the value of 6p − 4 when p = 6.
  31. 31.Find the value of 9a + 9b when a = 2 and b = 9.
  32. 32.Find the value of 4a + 3b when a = 1 and b = 1.
  33. 33.Find the value of 9a + 5b when a = 5 and b = 1.
  34. 34.Find the value of 8y − 32 when y = 12.
  35. 35.Find the value of 5a + 2b when a = 9 and b = 6.
  36. 36.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
  37. 37.Solve: n ÷ 5 = 6. What is n?
  38. 38.Solve: x − 10 = 6. What is x?
  39. 39.Find the value of 6x − 42 when x = 8.
  40. 40.Find the value of 2a + 3b when a = 6 and b = 4.

Answer key

  1. 8
  2. 45
  3. 52
  4. 19
  5. 66
  6. 13
  7. 58
  8. 63
  9. 72
  10. 15
  11. 53
  12. 51
  13. 36
  14. 47
  15. 90
  16. 3
  17. 153
  18. 57
  19. 40
  20. 8k
  21. 34
  22. 29
  23. 64
  24. 25
  25. 50
  26. 51
  27. 14
  28. 64
  29. 130
  30. 32
  31. 99
  32. 7
  33. 50
  34. 64
  35. 57
  36. 46
  37. 30
  38. 16
  39. 6
  40. 24

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