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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 611 · 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: x + 4 = 15. What is x?
  2. 2.Find the value of 9t + 1 when t = 3.
  3. 3.Find the value of 2n + 5 when n = 12.
  4. 4.Solve: x ÷ 6 = 11. What is x?
  5. 5.Tara has k pencils. A friend has 5 times as many. Which expression shows how many pencils the friend has? (a) k + 5 (b) k ÷ 5 (c) k − 5 (d) 5k
  6. 6.Find the value of 4p − 12 when p = 5.
  7. 7.Priya has m laddoos. A friend has 4 fewer. Which expression shows how many laddoos the friend has? (a) 4m (b) m − 4 (c) m + 4 (d) m ÷ 4
  8. 8.Solve: y + 5 = 23. What is y?
  9. 9.Find the value of 8y − 16 when y = 8.
  10. 10.Solve: t ÷ 12 = 20. What is t?
  11. 11.Find the value of 2a + 2b when a = 10 and b = 9.
  12. 12.Find the value of 6a + 9b when a = 3 and b = 1.
  13. 13.Solve: x + 9 = 21. What is x?
  14. 14.Find the value of 3a + 3b when a = 10 and b = 6.
  15. 15.Find the value of 5p + 4 when p = 8.
  16. 16.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
  17. 17.Kabir shares k balls equally among 4 friends. Which expression shows how many balls each friend gets? (a) k − 4 (b) k ÷ 4 (c) k + 4 (d) 4k
  18. 18.Solve: t + 9 = 19. What is t?
  19. 19.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
  20. 20.Find the value of 3a + 2b when a = 1 and b = 3.
  21. 21.Find the value of 5n + 8 when n = 10.
  22. 22.Find the value of 9y + 8 when y = 11.
  23. 23.Zoya has k bananas. A friend has 3 times as many. Which expression shows how many bananas the friend has? (a) k ÷ 3 (b) 3k (c) k − 3 (d) k + 3
  24. 24.Solve: y − 2 = 4. What is y?
  25. 25.Find the value of 2y − 1 when y = 1.
  26. 26.Find the value of 5m + 12 when m = 11.
  27. 27.Find the value of 6n + 18 when n = 9.
  28. 28.Find the value of 9m + 20 when m = 8.
  29. 29.Riya shares m balls equally among 4 friends. Which expression shows how many balls each friend gets? (a) 4m (b) m + 4 (c) m ÷ 4 (d) m − 4
  30. 30.Find the value of 6n + 18 when n = 3.
  31. 31.Solve: 7n = 119. What is n?
  32. 32.Find the value of 9a + 6b when a = 9 and b = 9.
  33. 33.Joseph has m balls. A friend has 6 times as many. Which expression shows how many balls the friend has? (a) m + 6 (b) 6m (c) m ÷ 6 (d) m − 6
  34. 34.Meera shares k flowers equally among 8 friends. Which expression shows how many flowers each friend gets? (a) k + 8 (b) k ÷ 8 (c) k − 8 (d) 8k
  35. 35.Find the value of 6m + 4 when m = 9.
  36. 36.Solve: m ÷ 6 = 20. What is m?
  37. 37.Find the value of 6n − 6 when n = 4.
  38. 38.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  39. 39.Riya has n laddoos. A friend has 8 fewer. Which expression shows how many laddoos the friend has? (a) n − 8 (b) 8n (c) n ÷ 8 (d) n + 8
  40. 40.Solve: m + 5 = 19. What is m?

Answer key

  1. 11
  2. 28
  3. 29
  4. 66
  5. 5k
  6. 8
  7. m − 4
  8. 18
  9. 48
  10. 240
  11. 38
  12. 27
  13. 12
  14. 48
  15. 44
  16. 46
  17. k ÷ 4
  18. 10
  19. 46
  20. 9
  21. 58
  22. 107
  23. 3k
  24. 6
  25. 1
  26. 67
  27. 72
  28. 92
  29. m ÷ 4
  30. 36
  31. 17
  32. 135
  33. 6m
  34. k ÷ 8
  35. 58
  36. 120
  37. 18
  38. 42
  39. n − 8
  40. 14

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