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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 347 · 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 C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
  2. 2.Find the value of 5m + 8 when m = 7.
  3. 3.Arjun has m balloons. A friend has 6 more. Which expression shows how many balloons the friend has? (a) m ÷ 6 (b) m − 6 (c) m + 6 (d) 6m
  4. 4.Lakshmi has k balloons. A friend has 4 times as many. Which expression shows how many balloons the friend has? (a) k ÷ 4 (b) k − 4 (c) k + 4 (d) 4k
  5. 5.Solve: y − 7 = 17. What is y?
  6. 6.Find the value of 8x + 6 when x = 6.
  7. 7.Find the value of 4n − 21 when n = 6.
  8. 8.Kabir has m balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) m ÷ 6 (b) 6m (c) m + 6 (d) m − 6
  9. 9.Pooja shares p pencils equally among 4 friends. Which expression shows how many pencils each friend gets? (a) p + 4 (b) p − 4 (c) p ÷ 4 (d) 4p
  10. 10.Find the value of 2y − 3 when y = 2.
  11. 11.Solve: p ÷ 7 = 20. What is p?
  12. 12.Vivaan has p balls. A friend has 2 more. Which expression shows how many balls the friend has? (a) p ÷ 2 (b) 2p (c) p + 2 (d) p − 2
  13. 13.Find the value of 2y − 8 when y = 12.
  14. 14.Aarav shares n kites equally among 8 friends. Which expression shows how many kites each friend gets? (a) 8n (b) n + 8 (c) n ÷ 8 (d) n − 8
  15. 15.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
  16. 16.Joseph has p bananas. A friend has 4 more. Which expression shows how many bananas the friend has? (a) p − 4 (b) p + 4 (c) p ÷ 4 (d) 4p
  17. 17.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  18. 18.Find the value of 2t − 5 when t = 8.
  19. 19.Find the value of 6a + 9b when a = 6 and b = 2.
  20. 20.Find the value of 9t + 4 when t = 8.
  21. 21.Solve: 12t = 120. What is t?
  22. 22.Sneha has n balloons. A friend has 3 times as many. Which expression shows how many balloons the friend has? (a) n + 3 (b) 3n (c) n ÷ 3 (d) n − 3
  23. 23.Solve: 3y = 48. What is y?
  24. 24.Riya shares n flowers equally among 9 friends. Which expression shows how many flowers each friend gets? (a) n ÷ 9 (b) n − 9 (c) n + 9 (d) 9n
  25. 25.Find the value of 4n + 1 when n = 3.
  26. 26.Solve: y ÷ 10 = 9. What is y?
  27. 27.Rahul has k shells. A friend has 8 times as many. Which expression shows how many shells the friend has? (a) k − 8 (b) k + 8 (c) k ÷ 8 (d) 8k
  28. 28.Aditya shares m crayons equally among 2 friends. Which expression shows how many crayons each friend gets? (a) m + 2 (b) 2m (c) m ÷ 2 (d) m − 2
  29. 29.Find the value of 6y + 7 when y = 12.
  30. 30.Find the value of 3x + 2 when x = 8.
  31. 31.Rahul shares n crayons equally among 7 friends. Which expression shows how many crayons each friend gets? (a) 7n (b) n − 7 (c) n + 7 (d) n ÷ 7
  32. 32.Solve: 2y = 6. What is y?
  33. 33.Solve: n − 4 = 6. What is n?
  34. 34.Find the value of 3t + 1 when t = 10.
  35. 35.Solve: m + 9 = 24. What is m?
  36. 36.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  37. 37.Find the value of 9a + 8b when a = 4 and b = 1.
  38. 38.Gurpreet has n kites. A friend has 2 times as many. Which expression shows how many kites the friend has? (a) n + 2 (b) 2n (c) n ÷ 2 (d) n − 2
  39. 39.Find the value of 2a + 6b when a = 2 and b = 4.
  40. 40.Riya shares m mangoes equally among 2 friends. Which expression shows how many mangoes each friend gets? (a) m + 2 (b) 2m (c) m ÷ 2 (d) m − 2

Answer key

  1. 81
  2. 43
  3. m + 6
  4. 4k
  5. 24
  6. 54
  7. 3
  8. m + 6
  9. p ÷ 4
  10. 1
  11. 140
  12. p + 2
  13. 16
  14. n ÷ 8
  15. 48
  16. p + 4
  17. 12
  18. 11
  19. 54
  20. 76
  21. 10
  22. 3n
  23. 16
  24. n ÷ 9
  25. 13
  26. 90
  27. 8k
  28. m ÷ 2
  29. 79
  30. 26
  31. n ÷ 7
  32. 3
  33. 10
  34. 31
  35. 15
  36. 24
  37. 44
  38. 2n
  39. 28
  40. m ÷ 2

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