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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 101 · 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.Solve: t ÷ 9 = 19. What is t?
  2. 2.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
  3. 3.Find the value of 7a + 3b when a = 6 and b = 3.
  4. 4.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  5. 5.Solve: n + 11 = 15. What is n?
  6. 6.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
  7. 7.Solve: 4m = 64. What is m?
  8. 8.Solve: 11t = 110. What is t?
  9. 9.Find the value of 5x + 7 when x = 11.
  10. 10.Solve: n − 4 = 17. What is n?
  11. 11.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
  12. 12.Find the value of 2m + 8 when m = 7.
  13. 13.Solve: y ÷ 2 = 3. What is y?
  14. 14.Find the value of 9n − 13 when n = 8.
  15. 15.Find the value of 7t + 11 when t = 4.
  16. 16.Find the value of 9m + 7 when m = 6.
  17. 17.Solve: n ÷ 3 = 1. What is n?
  18. 18.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  19. 19.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 11 letters?
  20. 20.Find the value of 6x + 16 when x = 12.
  21. 21.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  22. 22.Solve: 11t = 88. What is t?
  23. 23.Find the value of 2a + 3b when a = 9 and b = 6.
  24. 24.Solve: t ÷ 7 = 2. What is t?
  25. 25.Solve: 10p = 180. What is p?
  26. 26.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  27. 27.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
  28. 28.Solve: y ÷ 8 = 15. What is y?
  29. 29.Find the value of 9a + 9b when a = 7 and b = 8.
  30. 30.Solve: x + 5 = 10. What is x?
  31. 31.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  32. 32.Rohan has n crayons. A friend has 9 times as many. Which expression shows how many crayons the friend has? (a) n − 9 (b) n + 9 (c) n ÷ 9 (d) 9n
  33. 33.Find the value of 3a + 5b when a = 7 and b = 9.
  34. 34.Find the value of 6x − 2 when x = 1.
  35. 35.Find the value of 3a + 7b when a = 1 and b = 5.
  36. 36.Find the value of 2m + 8 when m = 9.
  37. 37.Kabir has k balls. A friend has 4 times as many. Which expression shows how many balls the friend has? (a) k + 4 (b) 4k (c) k − 4 (d) k ÷ 4
  38. 38.Joseph shares p mangoes equally among 2 friends. Which expression shows how many mangoes each friend gets? (a) p − 2 (b) p ÷ 2 (c) 2p (d) p + 2
  39. 39.Find the value of 8p − 42 when p = 8.
  40. 40.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?

Answer key

  1. 171
  2. 44
  3. 51
  4. 75
  5. 4
  6. 58
  7. 16
  8. 10
  9. 62
  10. 21
  11. 54
  12. 22
  13. 6
  14. 59
  15. 39
  16. 61
  17. 3
  18. 18
  19. 44
  20. 88
  21. 33
  22. 8
  23. 36
  24. 14
  25. 18
  26. 69
  27. 81
  28. 120
  29. 135
  30. 5
  31. 27
  32. 9n
  33. 66
  34. 4
  35. 38
  36. 26
  37. 4k
  38. p ÷ 2
  39. 22
  40. 38

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