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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 365 · 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 6t − 28 when t = 9.
  2. 2.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
  3. 3.Find the value of 6m − 2 when m = 4.
  4. 4.Find the value of 5a + 6b when a = 7 and b = 9.
  5. 5.Find the value of 5t + 14 when t = 10.
  6. 6.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
  7. 7.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
  8. 8.Find the value of 2a + 4b when a = 1 and b = 7.
  9. 9.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  10. 10.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
  11. 11.Solve: p − 3 = 17. What is p?
  12. 12.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  13. 13.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 7 letters?
  14. 14.Solve: t − 3 = 17. What is t?
  15. 15.Solve: t + 10 = 12. What is t?
  16. 16.Find the value of 9p − 56 when p = 12.
  17. 17.Solve: 10x = 20. What is x?
  18. 18.Solve: t ÷ 8 = 10. What is t?
  19. 19.Joseph has m shells. A friend has 9 times as many. Which expression shows how many shells the friend has? (a) m − 9 (b) 9m (c) m + 9 (d) m ÷ 9
  20. 20.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  21. 21.Find the value of 3a + 2b when a = 8 and b = 10.
  22. 22.Find the value of 4a + 9b when a = 10 and b = 3.
  23. 23.Solve: 2n = 2. What is n?
  24. 24.Solve: n + 12 = 16. What is n?
  25. 25.Find the value of 5a + 5b when a = 9 and b = 9.
  26. 26.Find the value of 5t − 1 when t = 1.
  27. 27.Solve: x + 4 = 21. What is x?
  28. 28.Solve: 7x = 70. What is x?
  29. 29.Find the value of 9p + 17 when p = 3.
  30. 30.Solve: y − 10 = 17. What is y?
  31. 31.Find the value of 6a + 7b when a = 8 and b = 7.
  32. 32.Kavya has n marbles. A friend has 7 times as many. Which expression shows how many marbles the friend has? (a) 7n (b) n − 7 (c) n ÷ 7 (d) n + 7
  33. 33.Find the value of 2p + 13 when p = 2.
  34. 34.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  35. 35.Find the value of 8a + 7b when a = 5 and b = 5.
  36. 36.Find the value of 5x + 8 when x = 11.
  37. 37.Find the value of 6a + 6b when a = 1 and b = 9.
  38. 38.Find the value of 3a + 6b when a = 8 and b = 1.
  39. 39.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
  40. 40.Ananya has k pencils. A friend has 9 fewer. Which expression shows how many pencils the friend has? (a) 9k (b) k ÷ 9 (c) k + 9 (d) k − 9

Answer key

  1. 26
  2. 54
  3. 22
  4. 89
  5. 64
  6. 14
  7. 28
  8. 30
  9. 56
  10. 32
  11. 20
  12. 40
  13. 28
  14. 20
  15. 2
  16. 52
  17. 2
  18. 80
  19. 9m
  20. 63
  21. 44
  22. 67
  23. 1
  24. 4
  25. 90
  26. 4
  27. 17
  28. 10
  29. 44
  30. 27
  31. 97
  32. 7n
  33. 17
  34. 12
  35. 75
  36. 63
  37. 60
  38. 30
  39. 36
  40. k − 9

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