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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 327 · 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.Farhan has n pencils. A friend has 5 more. Which expression shows how many pencils the friend has? (a) 5n (b) n − 5 (c) n + 5 (d) n ÷ 5
  2. 2.Solve: 11p = 154. What is p?
  3. 3.Find the value of 4p − 12 when p = 6.
  4. 4.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
  5. 5.Solve: n + 7 = 24. What is n?
  6. 6.Find the value of 6a + 4b when a = 5 and b = 7.
  7. 7.Find the value of 2a + 7b when a = 1 and b = 10.
  8. 8.Find the value of 3a + 3b when a = 1 and b = 8.
  9. 9.Find the value of 3t + 13 when t = 10.
  10. 10.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 25 letters?
  11. 11.Find the value of 7a + 4b when a = 8 and b = 10.
  12. 12.Find the value of 7y + 4 when y = 1.
  13. 13.Solve: m + 11 = 14. What is m?
  14. 14.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  15. 15.Solve: n ÷ 8 = 8. What is n?
  16. 16.Zoya shares n pencils equally among 8 friends. Which expression shows how many pencils each friend gets? (a) n + 8 (b) n − 8 (c) n ÷ 8 (d) 8n
  17. 17.Find the value of 8a + 4b when a = 3 and b = 3.
  18. 18.Meera shares n books equally among 9 friends. Which expression shows how many books each friend gets? (a) n − 9 (b) n ÷ 9 (c) n + 9 (d) 9n
  19. 19.Find the value of 3a + 2b when a = 9 and b = 2.
  20. 20.Find the value of 5n + 12 when n = 12.
  21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  22. 22.Vivaan shares m balls equally among 4 friends. Which expression shows how many balls each friend gets? (a) m − 4 (b) 4m (c) m + 4 (d) m ÷ 4
  23. 23.Solve: x + 11 = 27. What is x?
  24. 24.Solve: 8p = 88. What is p?
  25. 25.Solve: 10t = 200. What is t?
  26. 26.Find the value of 6y + 9 when y = 9.
  27. 27.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  28. 28.Solve: n + 9 = 28. What is n?
  29. 29.Find the value of 2a + 6b when a = 5 and b = 2.
  30. 30.Dev has m balloons. A friend has 8 times as many. Which expression shows how many balloons the friend has? (a) m ÷ 8 (b) m + 8 (c) m − 8 (d) 8m
  31. 31.Solve: 12x = 36. What is x?
  32. 32.Solve: 12m = 168. What is m?
  33. 33.Find the value of 6a + 3b when a = 3 and b = 5.
  34. 34.Solve: 4y = 28. What is y?
  35. 35.Find the value of 7n − 7 when n = 5.
  36. 36.Find the value of 9a + 8b when a = 5 and b = 2.
  37. 37.Find the value of 8p − 25 when p = 5.
  38. 38.Find the value of 2a + 5b when a = 1 and b = 6.
  39. 39.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  40. 40.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?

Answer key

  1. n + 5
  2. 14
  3. 12
  4. 36
  5. 17
  6. 58
  7. 72
  8. 27
  9. 43
  10. 100
  11. 96
  12. 11
  13. 3
  14. 56
  15. 64
  16. n ÷ 8
  17. 36
  18. n ÷ 9
  19. 31
  20. 72
  21. 56
  22. m ÷ 4
  23. 16
  24. 11
  25. 20
  26. 63
  27. 10
  28. 19
  29. 22
  30. 8m
  31. 3
  32. 14
  33. 33
  34. 7
  35. 28
  36. 61
  37. 15
  38. 32
  39. 40
  40. 18

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