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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 211 · 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 E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?
  2. 2.Find the value of 7a + 7b when a = 2 and b = 9.
  3. 3.Find the value of 2a + 9b when a = 2 and b = 3.
  4. 4.Solve: 4t = 32. What is t?
  5. 5.Find the value of 6x + 15 when x = 8.
  6. 6.Find the value of 9p − 54 when p = 7.
  7. 7.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  8. 8.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
  9. 9.Solve: n − 5 = 11. What is n?
  10. 10.Find the value of 3a + 9b when a = 10 and b = 3.
  11. 11.Arjun has n books. A friend has 3 times as many. Which expression shows how many books the friend has? (a) n ÷ 3 (b) 3n (c) n − 3 (d) n + 3
  12. 12.Find the value of 4p − 4 when p = 8.
  13. 13.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  14. 14.Find the value of 6y + 17 when y = 3.
  15. 15.Find the value of 6a + 2b when a = 7 and b = 9.
  16. 16.Solve: y − 2 = 11. What is y?
  17. 17.Solve: 11n = 22. What is n?
  18. 18.Solve: m ÷ 5 = 4. What is m?
  19. 19.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  20. 20.Find the value of 5a + 4b when a = 7 and b = 7.
  21. 21.Find the value of 9m − 3 when m = 2.
  22. 22.Find the value of 3y + 16 when y = 5.
  23. 23.Find the value of 9a + 8b when a = 8 and b = 8.
  24. 24.Find the value of 5t − 9 when t = 2.
  25. 25.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
  26. 26.Ananya has n flowers. A friend has 3 fewer. Which expression shows how many flowers the friend has? (a) n − 3 (b) 3n (c) n + 3 (d) n ÷ 3
  27. 27.Find the value of 4y − 3 when y = 6.
  28. 28.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  29. 29.Rohan has n flowers. A friend has 5 more. Which expression shows how many flowers the friend has? (a) 5n (b) n ÷ 5 (c) n + 5 (d) n − 5
  30. 30.Solve: n ÷ 5 = 19. What is n?
  31. 31.Farhan has k books. A friend has 3 times as many. Which expression shows how many books the friend has? (a) k + 3 (b) k − 3 (c) k ÷ 3 (d) 3k
  32. 32.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  33. 33.Solve: p + 12 = 19. What is p?
  34. 34.Solve: x ÷ 11 = 12. What is x?
  35. 35.Solve: p ÷ 7 = 20. What is p?
  36. 36.Find the value of 6x + 2 when x = 10.
  37. 37.Find the value of 5a + 2b when a = 3 and b = 8.
  38. 38.Find the value of 7y − 14 when y = 7.
  39. 39.Solve: 11p = 55. What is p?
  40. 40.Rahul has k balls. A friend has 2 times as many. Which expression shows how many balls the friend has? (a) k − 2 (b) 2k (c) k + 2 (d) k ÷ 2

Answer key

  1. 24
  2. 77
  3. 31
  4. 8
  5. 63
  6. 9
  7. 78
  8. 60
  9. 16
  10. 57
  11. 3n
  12. 28
  13. 24
  14. 35
  15. 60
  16. 13
  17. 2
  18. 20
  19. 36
  20. 63
  21. 15
  22. 31
  23. 136
  24. 1
  25. 22
  26. n − 3
  27. 21
  28. 21
  29. n + 5
  30. 95
  31. 3k
  32. 42
  33. 7
  34. 132
  35. 140
  36. 62
  37. 31
  38. 35
  39. 5
  40. 2k

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