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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 237 · 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 3m + 16 when m = 4.
  2. 2.Sneha shares n books equally among 3 friends. Which expression shows how many books each friend gets? (a) n + 3 (b) n − 3 (c) n ÷ 3 (d) 3n
  3. 3.Find the value of 8a + 3b when a = 6 and b = 3.
  4. 4.Vivaan has m balloons. A friend has 8 more. Which expression shows how many balloons the friend has? (a) m − 8 (b) 8m (c) m + 8 (d) m ÷ 8
  5. 5.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  6. 6.Solve: x + 6 = 8. What is x?
  7. 7.Find the value of 5a + 2b when a = 6 and b = 10.
  8. 8.Find the value of 2m + 4 when m = 11.
  9. 9.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  10. 10.Find the value of 9n + 1 when n = 4.
  11. 11.Aarav has k balls. A friend has 5 times as many. Which expression shows how many balls the friend has? (a) k + 5 (b) k − 5 (c) k ÷ 5 (d) 5k
  12. 12.Find the value of 3m − 4 when m = 5.
  13. 13.Solve: n + 10 = 22. What is n?
  14. 14.Nisha shares p laddoos equally among 5 friends. Which expression shows how many laddoos each friend gets? (a) 5p (b) p + 5 (c) p ÷ 5 (d) p − 5
  15. 15.Find the value of 4m − 2 when m = 2.
  16. 16.Find the value of 9a + 6b when a = 8 and b = 3.
  17. 17.Solve: y ÷ 11 = 6. What is y?
  18. 18.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  19. 19.Find the value of 6x − 43 when x = 9.
  20. 20.Karan has p kites. A friend has 5 fewer. Which expression shows how many kites the friend has? (a) p ÷ 5 (b) p + 5 (c) 5p (d) p − 5
  21. 21.Find the value of 8t − 5 when t = 12.
  22. 22.Solve: 5x = 65. What is x?
  23. 23.Find the value of 7y − 3 when y = 1.
  24. 24.Find the value of 4n − 1 when n = 9.
  25. 25.Vivaan has k balls. A friend has 2 more. Which expression shows how many balls the friend has? (a) k + 2 (b) 2k (c) k − 2 (d) k ÷ 2
  26. 26.Find the value of 6a + 2b when a = 3 and b = 9.
  27. 27.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  28. 28.Find the value of 8m − 6 when m = 1.
  29. 29.Find the value of 9t − 9 when t = 9.
  30. 30.Find the value of 6y − 33 when y = 6.
  31. 31.Find the value of 8p − 4 when p = 1.
  32. 32.Find the value of 4m + 16 when m = 6.
  33. 33.Find the value of 8a + 2b when a = 4 and b = 2.
  34. 34.Find the value of 7p + 16 when p = 6.
  35. 35.Find the value of 9m − 12 when m = 10.
  36. 36.Solve: n + 2 = 3. What is n?
  37. 37.Find the value of 9a + 4b when a = 7 and b = 2.
  38. 38.Solve: n ÷ 4 = 20. What is n?
  39. 39.Riya shares k balls equally among 7 friends. Which expression shows how many balls each friend gets? (a) k − 7 (b) k + 7 (c) 7k (d) k ÷ 7
  40. 40.Nisha has m laddoos. A friend has 5 fewer. Which expression shows how many laddoos the friend has? (a) m + 5 (b) m − 5 (c) m ÷ 5 (d) 5m

Answer key

  1. 28
  2. n ÷ 3
  3. 57
  4. m + 8
  5. 24
  6. 2
  7. 50
  8. 26
  9. 12
  10. 37
  11. 5k
  12. 11
  13. 12
  14. p ÷ 5
  15. 6
  16. 90
  17. 66
  18. 33
  19. 11
  20. p − 5
  21. 91
  22. 13
  23. 4
  24. 35
  25. k + 2
  26. 36
  27. 21
  28. 2
  29. 72
  30. 3
  31. 4
  32. 40
  33. 36
  34. 58
  35. 78
  36. 1
  37. 71
  38. 80
  39. k ÷ 7
  40. m − 5

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