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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 434 · 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.Find the value of 7a + 4b when a = 2 and b = 2.
  2. 2.Find the value of 8n − 64 when n = 11.
  3. 3.Find the value of 2m + 11 when m = 7.
  4. 4.Zoya shares k books equally among 4 friends. Which expression shows how many books each friend gets? (a) 4k (b) k − 4 (c) k ÷ 4 (d) k + 4
  5. 5.Find the value of 5m + 13 when m = 10.
  6. 6.Find the value of 7a + 8b when a = 2 and b = 5.
  7. 7.Riya has m balloons. A friend has 4 fewer. Which expression shows how many balloons the friend has? (a) m ÷ 4 (b) m + 4 (c) 4m (d) m − 4
  8. 8.Find the value of 8y + 19 when y = 9.
  9. 9.Ishaan shares k laddoos equally among 5 friends. Which expression shows how many laddoos each friend gets? (a) k − 5 (b) k ÷ 5 (c) k + 5 (d) 5k
  10. 10.Solve: 11x = 110. What is x?
  11. 11.Karan has n pencils. A friend has 2 times as many. Which expression shows how many pencils the friend has? (a) n − 2 (b) n + 2 (c) 2n (d) n ÷ 2
  12. 12.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
  13. 13.Solve: m − 9 = 7. What is m?
  14. 14.Find the value of 8y + 5 when y = 12.
  15. 15.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
  16. 16.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  17. 17.Find the value of 2m − 5 when m = 8.
  18. 18.Find the value of 9p + 4 when p = 4.
  19. 19.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
  20. 20.Find the value of 4a + 9b when a = 2 and b = 3.
  21. 21.Diya has m books. A friend has 9 more. Which expression shows how many books the friend has? (a) 9m (b) m − 9 (c) m + 9 (d) m ÷ 9
  22. 22.Zoya shares p laddoos equally among 8 friends. Which expression shows how many laddoos each friend gets? (a) p − 8 (b) p + 8 (c) p ÷ 8 (d) 8p
  23. 23.Farhan has n bananas. A friend has 4 fewer. Which expression shows how many bananas the friend has? (a) 4n (b) n ÷ 4 (c) n + 4 (d) n − 4
  24. 24.Solve: 11y = 187. What is y?
  25. 25.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
  26. 26.Solve: 8p = 48. What is p?
  27. 27.Kavya 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
  28. 28.Joseph has n crayons. A friend has 5 more. Which expression shows how many crayons the friend has? (a) n − 5 (b) n + 5 (c) n ÷ 5 (d) 5n
  29. 29.Find the value of 6a + 3b when a = 5 and b = 8.
  30. 30.Ishaan has n pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) n ÷ 7 (b) n − 7 (c) n + 7 (d) 7n
  31. 31.Find the value of 7p + 15 when p = 5.
  32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  33. 33.Find the value of 2p − 13 when p = 11.
  34. 34.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  35. 35.Find the value of 6a + 8b when a = 2 and b = 8.
  36. 36.Tara has n balls. A friend has 7 fewer. Which expression shows how many balls the friend has? (a) n ÷ 7 (b) n + 7 (c) n − 7 (d) 7n
  37. 37.Find the value of 4m + 10 when m = 10.
  38. 38.Find the value of 2x + 9 when x = 12.
  39. 39.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
  40. 40.Sneha has m shells. A friend has 7 more. Which expression shows how many shells the friend has? (a) m ÷ 7 (b) m + 7 (c) 7m (d) m − 7

Answer key

  1. 22
  2. 24
  3. 25
  4. k ÷ 4
  5. 63
  6. 54
  7. m − 4
  8. 91
  9. k ÷ 5
  10. 10
  11. 2n
  12. 36
  13. 16
  14. 101
  15. 76
  16. 24
  17. 11
  18. 40
  19. 34
  20. 35
  21. m + 9
  22. p ÷ 8
  23. n − 4
  24. 17
  25. 58
  26. 6
  27. 9n
  28. n + 5
  29. 54
  30. 7n
  31. 50
  32. 56
  33. 9
  34. 18
  35. 76
  36. n − 7
  37. 50
  38. 33
  39. 46
  40. m + 7

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