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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 524 · 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 4n + 17 when n = 6.
  2. 2.Solve: y − 7 = 19. What is y?
  3. 3.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
  4. 4.Find the value of 4t − 21 when t = 8.
  5. 5.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
  6. 6.Diya has n crayons. A friend has 8 more. Which expression shows how many crayons the friend has? (a) n − 8 (b) n ÷ 8 (c) 8n (d) n + 8
  7. 7.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  8. 8.Find the value of 6a + 6b when a = 6 and b = 1.
  9. 9.Solve: x ÷ 9 = 12. What is x?
  10. 10.Solve: x + 4 = 11. What is x?
  11. 11.Find the value of 4a + 8b when a = 9 and b = 4.
  12. 12.Find the value of 3a + 2b when a = 8 and b = 6.
  13. 13.Find the value of 9m − 12 when m = 11.
  14. 14.Solve: p + 5 = 25. What is p?
  15. 15.Find the value of 6y + 11 when y = 2.
  16. 16.Find the value of 3a + 7b when a = 9 and b = 10.
  17. 17.Dev has k crayons. A friend has 9 more. Which expression shows how many crayons the friend has? (a) k + 9 (b) 9k (c) k ÷ 9 (d) k − 9
  18. 18.Find the value of 2x + 18 when x = 5.
  19. 19.Find the value of 7x + 5 when x = 10.
  20. 20.Find the value of 8a + 5b when a = 1 and b = 1.
  21. 21.Solve: t ÷ 7 = 14. What is t?
  22. 22.Kavya has m kites. A friend has 4 times as many. Which expression shows how many kites the friend has? (a) 4m (b) m − 4 (c) m ÷ 4 (d) m + 4
  23. 23.Find the value of 3a + 5b when a = 10 and b = 3.
  24. 24.Find the value of 8n − 7 when n = 3.
  25. 25.Solve: x ÷ 6 = 19. What is x?
  26. 26.Solve: y + 4 = 19. What is y?
  27. 27.Diya shares k books equally among 3 friends. Which expression shows how many books each friend gets? (a) k ÷ 3 (b) 3k (c) k + 3 (d) k − 3
  28. 28.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  29. 29.Solve: 8t = 152. What is t?
  30. 30.Find the value of 2a + 3b when a = 6 and b = 1.
  31. 31.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  32. 32.Solve: 7y = 21. What is y?
  33. 33.Aditya shares n kites equally among 3 friends. Which expression shows how many kites each friend gets? (a) 3n (b) n − 3 (c) n + 3 (d) n ÷ 3
  34. 34.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  35. 35.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  36. 36.Find the value of 9a + 9b when a = 9 and b = 4.
  37. 37.Find the value of 4a + 7b when a = 10 and b = 1.
  38. 38.Find the value of 9n + 11 when n = 11.
  39. 39.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
  40. 40.Find the value of 8t − 4 when t = 3.

Answer key

  1. 41
  2. 26
  3. 104
  4. 11
  5. 22
  6. n + 8
  7. 36
  8. 42
  9. 108
  10. 7
  11. 68
  12. 36
  13. 87
  14. 20
  15. 23
  16. 97
  17. k + 9
  18. 28
  19. 75
  20. 13
  21. 98
  22. 4m
  23. 45
  24. 17
  25. 114
  26. 15
  27. k ÷ 3
  28. 10
  29. 19
  30. 15
  31. 36
  32. 3
  33. n ÷ 3
  34. 21
  35. 63
  36. 117
  37. 47
  38. 110
  39. 44
  40. 20

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