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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 273 · 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.Solve: n ÷ 12 = 1. What is n?
  2. 2.Find the value of 8a + 4b when a = 2 and b = 3.
  3. 3.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
  4. 4.Find the value of 2p − 10 when p = 8.
  5. 5.Solve: p − 5 = 20. What is p?
  6. 6.Solve: p ÷ 8 = 12. What is p?
  7. 7.Ishaan has m crayons. A friend has 5 fewer. Which expression shows how many crayons the friend has? (a) m − 5 (b) m ÷ 5 (c) 5m (d) m + 5
  8. 8.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
  9. 9.Solve: 4y = 4. What is y?
  10. 10.Manav shares m balls equally among 6 friends. Which expression shows how many balls each friend gets? (a) 6m (b) m − 6 (c) m ÷ 6 (d) m + 6
  11. 11.Solve: x − 10 = 15. What is x?
  12. 12.Find the value of 4a + 6b when a = 10 and b = 10.
  13. 13.Find the value of 4n + 20 when n = 3.
  14. 14.Solve: p + 10 = 12. What is p?
  15. 15.Solve: n + 11 = 14. What is n?
  16. 16.Find the value of 6p − 21 when p = 4.
  17. 17.Find the value of 5p − 1 when p = 1.
  18. 18.Find the value of 3n − 26 when n = 11.
  19. 19.Find the value of 5a + 4b when a = 3 and b = 2.
  20. 20.Find the value of 8p − 61 when p = 12.
  21. 21.Solve: y ÷ 7 = 19. What is y?
  22. 22.Find the value of 8n + 3 when n = 9.
  23. 23.Find the value of 7a + 6b when a = 9 and b = 1.
  24. 24.Solve: 5t = 35. What is t?
  25. 25.Ishaan has m balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) 3m (b) m + 3 (c) m ÷ 3 (d) m − 3
  26. 26.Find the value of 8a + 5b when a = 2 and b = 9.
  27. 27.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
  28. 28.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  29. 29.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
  30. 30.Find the value of 5a + 7b when a = 2 and b = 3.
  31. 31.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
  32. 32.Riya has k bananas. A friend has 9 fewer. Which expression shows how many bananas the friend has? (a) 9k (b) k ÷ 9 (c) k + 9 (d) k − 9
  33. 33.Find the value of 3y + 3 when y = 9.
  34. 34.Find the value of 9x − 8 when x = 1.
  35. 35.Isha has n balloons. A friend has 6 times as many. Which expression shows how many balloons the friend has? (a) n + 6 (b) n − 6 (c) n ÷ 6 (d) 6n
  36. 36.Solve: n ÷ 9 = 4. What is n?
  37. 37.Find the value of 4m − 3 when m = 1.
  38. 38.Priya shares k laddoos equally among 3 friends. Which expression shows how many laddoos each friend gets? (a) k − 3 (b) k ÷ 3 (c) 3k (d) k + 3
  39. 39.Nisha shares n bananas equally among 2 friends. Which expression shows how many bananas each friend gets? (a) 2n (b) n ÷ 2 (c) n + 2 (d) n − 2
  40. 40.Find the value of 2n + 7 when n = 10.

Answer key

  1. 12
  2. 28
  3. 84
  4. 6
  5. 25
  6. 96
  7. m − 5
  8. 52
  9. 1
  10. m ÷ 6
  11. 25
  12. 100
  13. 32
  14. 2
  15. 3
  16. 3
  17. 4
  18. 7
  19. 23
  20. 35
  21. 133
  22. 75
  23. 69
  24. 7
  25. m + 3
  26. 61
  27. 50
  28. 15
  29. 81
  30. 31
  31. 60
  32. k − 9
  33. 30
  34. 1
  35. 6n
  36. 36
  37. 1
  38. k ÷ 3
  39. n ÷ 2
  40. 27

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