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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 147 · 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.Ishaan has n balls. A friend has 8 more. Which expression shows how many balls the friend has? (a) n ÷ 8 (b) 8n (c) n + 8 (d) n − 8
  2. 2.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
  3. 3.Find the value of 5p + 20 when p = 8.
  4. 4.Find the value of 2a + 4b when a = 7 and b = 1.
  5. 5.Find the value of 6a + 9b when a = 8 and b = 2.
  6. 6.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
  7. 7.Kavya has m mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) m + 3 (b) m ÷ 3 (c) 3m (d) m − 3
  8. 8.Farhan has p laddoos. A friend has 5 times as many. Which expression shows how many laddoos the friend has? (a) 5p (b) p + 5 (c) p ÷ 5 (d) p − 5
  9. 9.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
  10. 10.Solve: p ÷ 11 = 1. What is p?
  11. 11.Find the value of 5a + 2b when a = 2 and b = 1.
  12. 12.Find the value of 3y + 16 when y = 4.
  13. 13.Find the value of 3n − 4 when n = 3.
  14. 14.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  15. 15.Solve: n ÷ 9 = 15. What is n?
  16. 16.Find the value of 7a + 5b when a = 9 and b = 4.
  17. 17.Find the value of 9a + 3b when a = 3 and b = 7.
  18. 18.Dev shares p marbles equally among 9 friends. Which expression shows how many marbles each friend gets? (a) p − 9 (b) 9p (c) p + 9 (d) p ÷ 9
  19. 19.Solve: x − 8 = 3. What is x?
  20. 20.Find the value of 5n + 6 when n = 12.
  21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
  22. 22.Find the value of 4a + 7b when a = 9 and b = 6.
  23. 23.Find the value of 2t − 5 when t = 5.
  24. 24.Find the value of 2a + 6b when a = 9 and b = 6.
  25. 25.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
  26. 26.Solve: x + 3 = 10. What is x?
  27. 27.Find the value of 3t − 22 when t = 9.
  28. 28.Find the value of 8t + 16 when t = 2.
  29. 29.Solve: 11p = 22. What is p?
  30. 30.Sneha shares m crayons equally among 5 friends. Which expression shows how many crayons each friend gets? (a) 5m (b) m − 5 (c) m + 5 (d) m ÷ 5
  31. 31.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
  32. 32.Find the value of 4p + 17 when p = 11.
  33. 33.Find the value of 7x + 15 when x = 3.
  34. 34.Find the value of 2p − 7 when p = 11.
  35. 35.Solve: x ÷ 2 = 17. What is x?
  36. 36.Find the value of 3t − 25 when t = 12.
  37. 37.Find the value of 3a + 2b when a = 5 and b = 2.
  38. 38.Solve: 4x = 4. What is x?
  39. 39.Arjun has p marbles. A friend has 4 fewer. Which expression shows how many marbles the friend has? (a) p ÷ 4 (b) p − 4 (c) p + 4 (d) 4p
  40. 40.Find the value of 9a + 4b when a = 6 and b = 8.

Answer key

  1. n + 8
  2. 52
  3. 60
  4. 18
  5. 66
  6. 92
  7. m + 3
  8. 5p
  9. 34
  10. 11
  11. 12
  12. 28
  13. 5
  14. 36
  15. 135
  16. 83
  17. 48
  18. p ÷ 9
  19. 11
  20. 66
  21. 58
  22. 78
  23. 5
  24. 54
  25. 24
  26. 7
  27. 5
  28. 32
  29. 2
  30. m ÷ 5
  31. 16
  32. 61
  33. 36
  34. 15
  35. 34
  36. 11
  37. 19
  38. 1
  39. p − 4
  40. 86

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