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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 231 · 40 sums
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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 5y − 15 when y = 4.
  2. 2.Find the value of 3a + 4b when a = 6 and b = 6.
  3. 3.Find the value of 5a + 3b when a = 1 and b = 6.
  4. 4.Solve: n − 9 = 7. What is n?
  5. 5.Find the value of 7y − 28 when y = 6.
  6. 6.Find the value of 4p − 13 when p = 4.
  7. 7.Find the value of 3p − 20 when p = 8.
  8. 8.Solve: x − 12 = 9. What is x?
  9. 9.Solve: t ÷ 3 = 3. What is t?
  10. 10.Solve: n ÷ 5 = 9. What is n?
  11. 11.Find the value of 6x + 11 when x = 1.
  12. 12.Find the value of 6m + 1 when m = 1.
  13. 13.Kavya shares k balls equally among 7 friends. Which expression shows how many balls each friend gets? (a) k + 7 (b) 7k (c) k ÷ 7 (d) k − 7
  14. 14.Find the value of 6a + 4b when a = 1 and b = 8.
  15. 15.Solve: n − 9 = 1. What is n?
  16. 16.Find the value of 6a + 3b when a = 7 and b = 4.
  17. 17.Find the value of 8a + 4b when a = 6 and b = 6.
  18. 18.Find the value of 7p + 9 when p = 1.
  19. 19.Find the value of 4n − 16 when n = 8.
  20. 20.Find the value of 8m + 3 when m = 6.
  21. 21.Solve: x + 4 = 13. What is x?
  22. 22.Joseph has n laddoos. A friend has 8 fewer. Which expression shows how many laddoos the friend has? (a) n − 8 (b) n + 8 (c) 8n (d) n ÷ 8
  23. 23.Find the value of 7t − 14 when t = 4.
  24. 24.Find the value of 3a + 9b when a = 7 and b = 1.
  25. 25.Kavya shares m crayons equally among 3 friends. Which expression shows how many crayons each friend gets? (a) m − 3 (b) m ÷ 3 (c) 3m (d) m + 3
  26. 26.Find the value of 4n + 10 when n = 2.
  27. 27.Solve: x + 3 = 19. What is x?
  28. 28.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  29. 29.Solve: y + 6 = 12. What is y?
  30. 30.Find the value of 8a + 9b when a = 6 and b = 2.
  31. 31.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  32. 32.Solve: p − 2 = 7. What is p?
  33. 33.Find the value of 7y + 2 when y = 1.
  34. 34.Solve: n ÷ 7 = 6. What is n?
  35. 35.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  36. 36.Find the value of 7a + 2b when a = 4 and b = 4.
  37. 37.Solve: t + 10 = 17. What is t?
  38. 38.Find the value of 3t + 19 when t = 7.
  39. 39.Diya shares p balloons equally among 6 friends. Which expression shows how many balloons each friend gets? (a) 6p (b) p − 6 (c) p ÷ 6 (d) p + 6
  40. 40.Solve: y + 2 = 15. What is y?

Answer key

  1. 5
  2. 42
  3. 23
  4. 16
  5. 14
  6. 3
  7. 4
  8. 21
  9. 9
  10. 45
  11. 17
  12. 7
  13. k ÷ 7
  14. 38
  15. 10
  16. 54
  17. 72
  18. 16
  19. 16
  20. 51
  21. 9
  22. n − 8
  23. 14
  24. 30
  25. m ÷ 3
  26. 18
  27. 16
  28. 45
  29. 6
  30. 66
  31. 69
  32. 9
  33. 9
  34. 42
  35. 30
  36. 36
  37. 7
  38. 40
  39. p ÷ 6
  40. 13

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