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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 184 · 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 F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  2. 2.Find the value of 5m − 41 when m = 11.
  3. 3.Find the value of 3a + 5b when a = 3 and b = 7.
  4. 4.Aarav has n flowers. A friend has 5 more. Which expression shows how many flowers the friend has? (a) n ÷ 5 (b) n − 5 (c) 5n (d) n + 5
  5. 5.Find the value of 9a + 3b when a = 6 and b = 3.
  6. 6.Find the value of 2t + 20 when t = 1.
  7. 7.Find the value of 2m − 8 when m = 5.
  8. 8.Find the value of 4a + 9b when a = 5 and b = 5.
  9. 9.Find the value of 8a + 3b when a = 3 and b = 3.
  10. 10.Meera shares p mangoes equally among 4 friends. Which expression shows how many mangoes each friend gets? (a) p + 4 (b) p − 4 (c) p ÷ 4 (d) 4p
  11. 11.Gurpreet shares m balloons equally among 5 friends. Which expression shows how many balloons each friend gets? (a) m + 5 (b) 5m (c) m ÷ 5 (d) m − 5
  12. 12.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
  13. 13.Find the value of 3x + 6 when x = 5.
  14. 14.Rahul has p bananas. A friend has 3 times as many. Which expression shows how many bananas the friend has? (a) p − 3 (b) p + 3 (c) 3p (d) p ÷ 3
  15. 15.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  16. 16.Solve: y − 5 = 17. What is y?
  17. 17.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  18. 18.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
  19. 19.Ishaan shares m balloons equally among 3 friends. Which expression shows how many balloons each friend gets? (a) m ÷ 3 (b) 3m (c) m − 3 (d) m + 3
  20. 20.Find the value of 4y − 13 when y = 5.
  21. 21.Solve: m + 5 = 10. What is m?
  22. 22.Riya has p flowers. A friend has 2 fewer. Which expression shows how many flowers the friend has? (a) p ÷ 2 (b) p + 2 (c) 2p (d) p − 2
  23. 23.Find the value of 4p − 2 when p = 3.
  24. 24.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  25. 25.Find the value of 5a + 5b when a = 7 and b = 3.
  26. 26.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  27. 27.Vivaan has p mangoes. A friend has 2 more. Which expression shows how many mangoes the friend has? (a) 2p (b) p + 2 (c) p ÷ 2 (d) p − 2
  28. 28.Dev shares p pencils equally among 6 friends. Which expression shows how many pencils each friend gets? (a) 6p (b) p − 6 (c) p ÷ 6 (d) p + 6
  29. 29.Find the value of 8m + 10 when m = 7.
  30. 30.Solve: x + 12 = 23. What is x?
  31. 31.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  32. 32.Meera has p balls. A friend has 7 fewer. Which expression shows how many balls the friend has? (a) 7p (b) p − 7 (c) p + 7 (d) p ÷ 7
  33. 33.Diya has m mangoes. A friend has 6 times as many. Which expression shows how many mangoes the friend has? (a) m + 6 (b) m ÷ 6 (c) m − 6 (d) 6m
  34. 34.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  35. 35.Find the value of 2a + 8b when a = 5 and b = 3.
  36. 36.Find the value of 3y + 15 when y = 2.
  37. 37.Solve: t ÷ 3 = 11. What is t?
  38. 38.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
  39. 39.Saanvi has n pencils. A friend has 7 more. Which expression shows how many pencils the friend has? (a) 7n (b) n + 7 (c) n ÷ 7 (d) n − 7
  40. 40.Solve: m − 11 = 7. What is m?

Answer key

  1. 18
  2. 14
  3. 44
  4. n + 5
  5. 63
  6. 22
  7. 2
  8. 65
  9. 33
  10. p ÷ 4
  11. m ÷ 5
  12. 54
  13. 21
  14. 3p
  15. 40
  16. 22
  17. 78
  18. 38
  19. m ÷ 3
  20. 7
  21. 5
  22. p − 2
  23. 10
  24. 75
  25. 50
  26. 75
  27. p + 2
  28. p ÷ 6
  29. 66
  30. 11
  31. 69
  32. p − 7
  33. 6m
  34. 42
  35. 34
  36. 21
  37. 33
  38. 60
  39. n + 7
  40. 18

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