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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 481 · 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 3a + 7b when a = 10 and b = 4.
  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.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
  4. 4.Find the value of 3a + 7b when a = 5 and b = 6.
  5. 5.Find the value of 8a + 3b when a = 10 and b = 6.
  6. 6.Find the value of 5a + 4b when a = 2 and b = 4.
  7. 7.Find the value of 2p − 4 when p = 8.
  8. 8.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  9. 9.Solve: 9m = 171. What is m?
  10. 10.Find the value of 5a + 6b when a = 10 and b = 8.
  11. 11.Solve: 10n = 180. What is n?
  12. 12.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
  13. 13.Solve: x − 7 = 7. What is x?
  14. 14.Solve: n + 4 = 20. What is n?
  15. 15.Find the value of 2a + 2b when a = 9 and b = 3.
  16. 16.Find the value of 2p + 15 when p = 6.
  17. 17.Find the value of 3x − 1 when x = 12.
  18. 18.Find the value of 4a + 9b when a = 2 and b = 5.
  19. 19.Rahul has n flowers. A friend has 5 times as many. Which expression shows how many flowers the friend has? (a) n − 5 (b) 5n (c) n + 5 (d) n ÷ 5
  20. 20.Find the value of 2a + 2b when a = 6 and b = 10.
  21. 21.Find the value of 3m + 17 when m = 4.
  22. 22.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  23. 23.Find the value of 8y + 2 when y = 3.
  24. 24.Find the value of 9y − 42 when y = 6.
  25. 25.Solve: 6t = 48. What is t?
  26. 26.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
  27. 27.Find the value of 7n − 2 when n = 1.
  28. 28.Find the value of 2y − 5 when y = 7.
  29. 29.Ishaan has n laddoos. A friend has 4 times as many. Which expression shows how many laddoos the friend has? (a) 4n (b) n + 4 (c) n − 4 (d) n ÷ 4
  30. 30.Solve: 9n = 81. What is n?
  31. 31.Find the value of 3a + 7b when a = 4 and b = 10.
  32. 32.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
  33. 33.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
  34. 34.Solve: n + 3 = 8. What is n?
  35. 35.Find the value of 4a + 5b when a = 5 and b = 6.
  36. 36.Find the value of 7m + 13 when m = 7.
  37. 37.Solve: t + 7 = 11. What is t?
  38. 38.Solve: 10m = 200. What is m?
  39. 39.Arjun has k pencils. A friend has 8 times as many. Which expression shows how many pencils the friend has? (a) k ÷ 8 (b) k + 8 (c) k − 8 (d) 8k
  40. 40.Find the value of 7m + 2 when m = 7.

Answer key

  1. 58
  2. 54
  3. 87
  4. 57
  5. 98
  6. 26
  7. 12
  8. 39
  9. 19
  10. 98
  11. 18
  12. 26
  13. 14
  14. 16
  15. 24
  16. 27
  17. 35
  18. 53
  19. 5n
  20. 32
  21. 29
  22. 12
  23. 26
  24. 12
  25. 8
  26. 87
  27. 5
  28. 9
  29. 4n
  30. 9
  31. 82
  32. 104
  33. 58
  34. 5
  35. 50
  36. 62
  37. 4
  38. 20
  39. 8k
  40. 51

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