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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 317 · 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 5a + 4b when a = 9 and b = 5.
  2. 2.Find the value of 7a + 9b when a = 6 and b = 9.
  3. 3.Solve: x − 10 = 6. What is x?
  4. 4.Find the value of 8x + 17 when x = 6.
  5. 5.Find the value of 3a + 3b when a = 4 and b = 2.
  6. 6.Joseph shares p kites equally among 6 friends. Which expression shows how many kites each friend gets? (a) p + 6 (b) 6p (c) p ÷ 6 (d) p − 6
  7. 7.Ananya has k kites. A friend has 5 times as many. Which expression shows how many kites the friend has? (a) 5k (b) k − 5 (c) k + 5 (d) k ÷ 5
  8. 8.Lakshmi has k laddoos. A friend has 4 more. Which expression shows how many laddoos the friend has? (a) k + 4 (b) k ÷ 4 (c) 4k (d) k − 4
  9. 9.Find the value of 3a + 5b when a = 9 and b = 4.
  10. 10.Find the value of 2t + 17 when t = 8.
  11. 11.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  12. 12.Find the value of 2a + 8b when a = 5 and b = 7.
  13. 13.Solve: y + 4 = 24. What is y?
  14. 14.Solve: t − 10 = 13. What is t?
  15. 15.Ishaan has k kites. A friend has 7 more. Which expression shows how many kites the friend has? (a) k ÷ 7 (b) k − 7 (c) k + 7 (d) 7k
  16. 16.Find the value of 5t + 5 when t = 12.
  17. 17.Find the value of 6x − 7 when x = 9.
  18. 18.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
  19. 19.Find the value of 7y − 22 when y = 4.
  20. 20.Find the value of 3t − 5 when t = 5.
  21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
  22. 22.Solve: p + 12 = 25. What is p?
  23. 23.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  24. 24.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
  25. 25.Find the value of 7n − 18 when n = 3.
  26. 26.Solve: t ÷ 8 = 15. What is t?
  27. 27.Find the value of 5a + 2b when a = 8 and b = 7.
  28. 28.Find the value of 4x − 3 when x = 3.
  29. 29.Find the value of 9n − 19 when n = 5.
  30. 30.Pooja has m books. A friend has 2 times as many. Which expression shows how many books the friend has? (a) m ÷ 2 (b) 2m (c) m − 2 (d) m + 2
  31. 31.Find the value of 9p + 8 when p = 9.
  32. 32.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  33. 33.Solve: 10t = 80. What is t?
  34. 34.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
  35. 35.Find the value of 2p − 6 when p = 9.
  36. 36.Solve: y − 8 = 3. What is y?
  37. 37.Find the value of 4a + 6b when a = 8 and b = 7.
  38. 38.Find the value of 3a + 9b when a = 8 and b = 7.
  39. 39.Find the value of 3a + 3b when a = 8 and b = 3.
  40. 40.Solve: x ÷ 6 = 1. What is x?

Answer key

  1. 65
  2. 123
  3. 16
  4. 65
  5. 18
  6. p ÷ 6
  7. 5k
  8. k + 4
  9. 47
  10. 33
  11. 39
  12. 66
  13. 20
  14. 23
  15. k + 7
  16. 65
  17. 47
  18. 90
  19. 6
  20. 10
  21. 36
  22. 13
  23. 18
  24. 60
  25. 3
  26. 120
  27. 54
  28. 9
  29. 26
  30. 2m
  31. 89
  32. 36
  33. 8
  34. 72
  35. 12
  36. 11
  37. 74
  38. 87
  39. 33
  40. 6

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