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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 141 · 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 = 7 and b = 3.
  2. 2.Find the value of 7a + 5b when a = 8 and b = 1.
  3. 3.Find the value of 4t + 5 when t = 7.
  4. 4.Solve: x − 4 = 12. What is x?
  5. 5.Find the value of 5m + 3 when m = 1.
  6. 6.Solve: 12n = 240. What is n?
  7. 7.Solve: n − 7 = 1. What is n?
  8. 8.Find the value of 5a + 5b when a = 4 and b = 8.
  9. 9.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
  10. 10.Find the value of 9x − 11 when x = 4.
  11. 11.Solve: 7m = 14. What is m?
  12. 12.Dev has m laddoos. A friend has 6 fewer. Which expression shows how many laddoos the friend has? (a) m ÷ 6 (b) m − 6 (c) m + 6 (d) 6m
  13. 13.Find the value of 3a + 9b when a = 6 and b = 1.
  14. 14.Find the value of 6a + 6b when a = 3 and b = 2.
  15. 15.Ananya has k crayons. A friend has 2 times as many. Which expression shows how many crayons the friend has? (a) k ÷ 2 (b) k + 2 (c) k − 2 (d) 2k
  16. 16.Solve: x ÷ 2 = 20. What is x?
  17. 17.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
  18. 18.Find the value of 6a + 3b when a = 3 and b = 5.
  19. 19.Find the value of 2a + 7b when a = 7 and b = 4.
  20. 20.Find the value of 6a + 6b when a = 8 and b = 6.
  21. 21.Arjun has m kites. A friend has 5 fewer. Which expression shows how many kites the friend has? (a) 5m (b) m ÷ 5 (c) m + 5 (d) m − 5
  22. 22.Find the value of 3x − 2 when x = 4.
  23. 23.Tara has m balls. A friend has 3 more. Which expression shows how many balls the friend has? (a) m ÷ 3 (b) m + 3 (c) 3m (d) m − 3
  24. 24.Find the value of 8n + 2 when n = 12.
  25. 25.Find the value of 9x − 12 when x = 10.
  26. 26.Solve: x − 7 = 8. What is x?
  27. 27.Find the value of 2a + 4b when a = 8 and b = 2.
  28. 28.Zoya shares m balls equally among 6 friends. Which expression shows how many balls each friend gets? (a) m + 6 (b) m − 6 (c) m ÷ 6 (d) 6m
  29. 29.Find the value of 2n − 11 when n = 11.
  30. 30.Find the value of 4n − 6 when n = 9.
  31. 31.Find the value of 4n − 3 when n = 1.
  32. 32.Riya shares m crayons equally among 7 friends. Which expression shows how many crayons each friend gets? (a) m + 7 (b) 7m (c) m ÷ 7 (d) m − 7
  33. 33.Find the value of 2y + 17 when y = 1.
  34. 34.Solve: m ÷ 4 = 4. What is m?
  35. 35.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
  36. 36.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
  37. 37.Priya has k pencils. A friend has 8 fewer. Which expression shows how many pencils the friend has? (a) k − 8 (b) k + 8 (c) k ÷ 8 (d) 8k
  38. 38.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  39. 39.Solve: n ÷ 5 = 3. What is n?
  40. 40.Find the value of 8a + 4b when a = 9 and b = 1.

Answer key

  1. 47
  2. 61
  3. 33
  4. 16
  5. 8
  6. 20
  7. 8
  8. 60
  9. 34
  10. 25
  11. 2
  12. m − 6
  13. 27
  14. 30
  15. 2k
  16. 40
  17. 81
  18. 33
  19. 42
  20. 84
  21. m − 5
  22. 10
  23. m + 3
  24. 98
  25. 78
  26. 15
  27. 24
  28. m ÷ 6
  29. 11
  30. 30
  31. 1
  32. m ÷ 7
  33. 19
  34. 16
  35. 44
  36. 66
  37. k − 8
  38. 78
  39. 15
  40. 76

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