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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 552 · 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.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
  2. 2.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  3. 3.Find the value of 7a + 9b when a = 9 and b = 2.
  4. 4.Solve: m + 6 = 16. What is m?
  5. 5.Find the value of 5n − 46 when n = 11.
  6. 6.Find the value of 5a + 9b when a = 7 and b = 5.
  7. 7.Find the value of 6x + 1 when x = 11.
  8. 8.Solve: t ÷ 6 = 12. What is t?
  9. 9.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  10. 10.Ananya has p crayons. A friend has 6 fewer. Which expression shows how many crayons the friend has? (a) p − 6 (b) p ÷ 6 (c) 6p (d) p + 6
  11. 11.Find the value of 8y − 24 when y = 9.
  12. 12.Solve: t ÷ 7 = 12. What is t?
  13. 13.Solve: 2x = 24. What is x?
  14. 14.Solve: 3y = 48. What is y?
  15. 15.Solve: 10t = 160. What is t?
  16. 16.Find the value of 5n − 4 when n = 8.
  17. 17.Find the value of 3t − 6 when t = 4.
  18. 18.Manav shares k bananas equally among 9 friends. Which expression shows how many bananas each friend gets? (a) k ÷ 9 (b) 9k (c) k − 9 (d) k + 9
  19. 19.Joseph has n bananas. A friend has 5 times as many. Which expression shows how many bananas the friend has? (a) n ÷ 5 (b) 5n (c) n − 5 (d) n + 5
  20. 20.Solve: 3x = 33. What is x?
  21. 21.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  22. 22.Solve: x − 6 = 10. What is x?
  23. 23.Find the value of 8p − 12 when p = 4.
  24. 24.Find the value of 4a + 2b when a = 5 and b = 7.
  25. 25.Find the value of 3a + 3b when a = 8 and b = 2.
  26. 26.Find the value of 9a + 8b when a = 2 and b = 3.
  27. 27.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
  28. 28.Find the value of 4a + 8b when a = 1 and b = 5.
  29. 29.Find the value of 8a + 3b when a = 3 and b = 9.
  30. 30.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  31. 31.Find the value of 3y − 5 when y = 5.
  32. 32.Find the value of 3x + 5 when x = 6.
  33. 33.Meera shares n bananas equally among 5 friends. Which expression shows how many bananas each friend gets? (a) 5n (b) n + 5 (c) n − 5 (d) n ÷ 5
  34. 34.Find the value of 6x − 7 when x = 2.
  35. 35.Find the value of 2a + 5b when a = 8 and b = 1.
  36. 36.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  37. 37.Find the value of 2a + 4b when a = 5 and b = 5.
  38. 38.Find the value of 3y − 17 when y = 9.
  39. 39.Find the value of 8p + 4 when p = 11.
  40. 40.Find the value of 2a + 6b when a = 6 and b = 3.

Answer key

  1. 84
  2. 30
  3. 81
  4. 10
  5. 9
  6. 80
  7. 67
  8. 72
  9. 24
  10. p − 6
  11. 48
  12. 84
  13. 12
  14. 16
  15. 16
  16. 36
  17. 6
  18. k ÷ 9
  19. 5n
  20. 11
  21. 27
  22. 16
  23. 20
  24. 34
  25. 30
  26. 42
  27. 46
  28. 44
  29. 51
  30. 18
  31. 10
  32. 23
  33. n ÷ 5
  34. 5
  35. 21
  36. 40
  37. 30
  38. 10
  39. 92
  40. 30

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