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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 366 · 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 U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  2. 2.Find the value of 6a + 4b when a = 6 and b = 1.
  3. 3.Find the value of 6a + 7b when a = 3 and b = 5.
  4. 4.Find the value of 5a + 3b when a = 6 and b = 1.
  5. 5.Solve: p + 11 = 15. What is p?
  6. 6.Find the value of 3a + 9b when a = 10 and b = 2.
  7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  8. 8.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  9. 9.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  10. 10.Ananya shares p bananas equally among 7 friends. Which expression shows how many bananas each friend gets? (a) p − 7 (b) p + 7 (c) p ÷ 7 (d) 7p
  11. 11.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
  12. 12.Find the value of 8a + 9b when a = 6 and b = 7.
  13. 13.Find the value of 6a + 2b when a = 5 and b = 2.
  14. 14.Find the value of 6p − 1 when p = 1.
  15. 15.Find the value of 9a + 3b when a = 6 and b = 6.
  16. 16.Sneha has k laddoos. A friend has 9 fewer. Which expression shows how many laddoos the friend has? (a) k − 9 (b) k ÷ 9 (c) 9k (d) k + 9
  17. 17.Find the value of 2a + 2b when a = 3 and b = 7.
  18. 18.Find the value of 2p + 12 when p = 5.
  19. 19.Find the value of 3a + 5b when a = 9 and b = 9.
  20. 20.Find the value of 8a + 2b when a = 2 and b = 3.
  21. 21.Find the value of 7a + 4b when a = 9 and b = 10.
  22. 22.Solve: 12m = 96. What is m?
  23. 23.Find the value of 3a + 5b when a = 3 and b = 6.
  24. 24.Find the value of 3y + 5 when y = 12.
  25. 25.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
  26. 26.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
  27. 27.Find the value of 9x + 7 when x = 3.
  28. 28.Find the value of 2a + 8b when a = 3 and b = 10.
  29. 29.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
  30. 30.Find the value of 4m − 1 when m = 1.
  31. 31.Solve: x − 5 = 9. What is x?
  32. 32.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
  33. 33.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  34. 34.Find the value of 4p + 1 when p = 2.
  35. 35.Find the value of 8x + 9 when x = 9.
  36. 36.Find the value of 2t − 1 when t = 1.
  37. 37.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
  38. 38.Solve: p + 8 = 14. What is p?
  39. 39.Find the value of 6a + 4b when a = 1 and b = 2.
  40. 40.Find the value of 6a + 7b when a = 4 and b = 9.

Answer key

  1. 57
  2. 40
  3. 53
  4. 33
  5. 4
  6. 48
  7. 40
  8. 45
  9. 42
  10. p ÷ 7
  11. 87
  12. 111
  13. 34
  14. 5
  15. 72
  16. k − 9
  17. 20
  18. 22
  19. 72
  20. 22
  21. 103
  22. 8
  23. 39
  24. 41
  25. 32
  26. 54
  27. 34
  28. 86
  29. 92
  30. 3
  31. 14
  32. 24
  33. 42
  34. 9
  35. 81
  36. 1
  37. 14
  38. 6
  39. 14
  40. 87

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