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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 446 · 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 8n + 7 when n = 12.
  2. 2.Solve: 12y = 204. What is y?
  3. 3.Find the value of 5t + 8 when t = 11.
  4. 4.Solve: 6n = 30. What is n?
  5. 5.Find the value of 9a + 6b when a = 6 and b = 1.
  6. 6.Solve: 9m = 126. What is m?
  7. 7.Solve: y − 4 = 9. What is y?
  8. 8.Find the value of 7n − 8 when n = 12.
  9. 9.Find the value of 3p − 19 when p = 9.
  10. 10.Aarav shares m books equally among 3 friends. Which expression shows how many books each friend gets? (a) 3m (b) m + 3 (c) m − 3 (d) m ÷ 3
  11. 11.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
  12. 12.Find the value of 6t + 14 when t = 12.
  13. 13.Find the value of 3y − 5 when y = 2.
  14. 14.Find the value of 6x − 40 when x = 8.
  15. 15.Solve: x − 7 = 19. What is x?
  16. 16.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
  17. 17.Pooja has p mangoes. A friend has 6 fewer. Which expression shows how many mangoes the friend has? (a) p − 6 (b) p ÷ 6 (c) 6p (d) p + 6
  18. 18.Find the value of 3a + 8b when a = 7 and b = 10.
  19. 19.Meera shares k books equally among 8 friends. Which expression shows how many books each friend gets? (a) k + 8 (b) k − 8 (c) 8k (d) k ÷ 8
  20. 20.Find the value of 2a + 3b when a = 1 and b = 2.
  21. 21.Find the value of 4a + 5b when a = 5 and b = 3.
  22. 22.Find the value of 3n − 9 when n = 12.
  23. 23.Lakshmi shares n flowers equally among 9 friends. Which expression shows how many flowers each friend gets? (a) n − 9 (b) 9n (c) n + 9 (d) n ÷ 9
  24. 24.Find the value of 3y + 2 when y = 6.
  25. 25.Solve: y + 3 = 21. What is y?
  26. 26.Pooja shares k mangoes equally among 9 friends. Which expression shows how many mangoes each friend gets? (a) k ÷ 9 (b) 9k (c) k − 9 (d) k + 9
  27. 27.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
  28. 28.Find the value of 4a + 9b when a = 5 and b = 9.
  29. 29.Find the value of 6a + 9b when a = 1 and b = 8.
  30. 30.Solve: y + 3 = 22. What is y?
  31. 31.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  32. 32.Find the value of 8m + 18 when m = 3.
  33. 33.Find the value of 9a + 3b when a = 6 and b = 9.
  34. 34.Nisha has m kites. A friend has 9 times as many. Which expression shows how many kites the friend has? (a) m ÷ 9 (b) m + 9 (c) m − 9 (d) 9m
  35. 35.Solve: y + 7 = 21. What is y?
  36. 36.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  37. 37.Solve: t + 5 = 21. What is t?
  38. 38.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  39. 39.Find the value of 9m + 5 when m = 2.
  40. 40.Find the value of 4p + 14 when p = 2.

Answer key

  1. 103
  2. 17
  3. 63
  4. 5
  5. 60
  6. 14
  7. 13
  8. 76
  9. 8
  10. m ÷ 3
  11. 48
  12. 86
  13. 1
  14. 8
  15. 26
  16. 90
  17. p − 6
  18. 101
  19. k ÷ 8
  20. 8
  21. 35
  22. 27
  23. n ÷ 9
  24. 20
  25. 18
  26. k ÷ 9
  27. 72
  28. 101
  29. 78
  30. 19
  31. 36
  32. 42
  33. 81
  34. 9m
  35. 14
  36. 56
  37. 16
  38. 75
  39. 23
  40. 22

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