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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 422 · 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.Find the value of 6n + 14 when n = 11.
  2. 2.Find the value of 3a + 5b when a = 5 and b = 1.
  3. 3.Find the value of 8m + 8 when m = 2.
  4. 4.Solve: 10x = 180. What is x?
  5. 5.Pooja has m pencils. A friend has 8 fewer. Which expression shows how many pencils the friend has? (a) m ÷ 8 (b) m + 8 (c) m − 8 (d) 8m
  6. 6.Solve: n + 5 = 15. What is n?
  7. 7.Solve: y ÷ 4 = 20. What is y?
  8. 8.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
  9. 9.Find the value of 2a + 7b when a = 2 and b = 5.
  10. 10.Find the value of 3y + 8 when y = 1.
  11. 11.Find the value of 3a + 2b when a = 6 and b = 5.
  12. 12.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  13. 13.Solve: y − 7 = 10. What is y?
  14. 14.Find the value of 6a + 3b when a = 7 and b = 2.
  15. 15.Solve: x + 7 = 25. What is x?
  16. 16.Find the value of 2a + 7b when a = 5 and b = 5.
  17. 17.Find the value of 4a + 9b when a = 6 and b = 8.
  18. 18.Solve: y + 12 = 26. What is y?
  19. 19.Vivaan has n shells. A friend has 7 times as many. Which expression shows how many shells the friend has? (a) n + 7 (b) n − 7 (c) 7n (d) n ÷ 7
  20. 20.Find the value of 6a + 2b when a = 9 and b = 4.
  21. 21.Find the value of 8m + 4 when m = 4.
  22. 22.Rohan 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
  23. 23.Find the value of 6a + 8b when a = 7 and b = 1.
  24. 24.Solve: n ÷ 8 = 19. What is n?
  25. 25.Diya has p balls. A friend has 3 fewer. Which expression shows how many balls the friend has? (a) 3p (b) p − 3 (c) p ÷ 3 (d) p + 3
  26. 26.Find the value of 8a + 6b when a = 4 and b = 7.
  27. 27.Solve: y − 2 = 14. What is y?
  28. 28.Tara has m pencils. A friend has 5 times as many. Which expression shows how many pencils the friend has? (a) m − 5 (b) 5m (c) m + 5 (d) m ÷ 5
  29. 29.Find the value of 4a + 8b when a = 3 and b = 3.
  30. 30.Find the value of 3a + 5b when a = 6 and b = 7.
  31. 31.Find the value of 2a + 2b when a = 10 and b = 7.
  32. 32.Rahul has k pencils. A friend has 5 more. Which expression shows how many pencils the friend has? (a) k − 5 (b) k + 5 (c) k ÷ 5 (d) 5k
  33. 33.Solve: 10m = 100. What is m?
  34. 34.Find the value of 2a + 2b when a = 9 and b = 3.
  35. 35.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 11 letters?
  36. 36.Find the value of 4m − 12 when m = 5.
  37. 37.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
  38. 38.Find the value of 8t − 13 when t = 6.
  39. 39.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  40. 40.Find the value of 2t − 2 when t = 10.

Answer key

  1. 80
  2. 20
  3. 24
  4. 18
  5. m − 8
  6. 10
  7. 80
  8. 76
  9. 39
  10. 11
  11. 28
  12. 75
  13. 17
  14. 48
  15. 18
  16. 45
  17. 96
  18. 14
  19. 7n
  20. 62
  21. 36
  22. p ÷ 6
  23. 50
  24. 152
  25. p − 3
  26. 74
  27. 16
  28. 5m
  29. 36
  30. 53
  31. 34
  32. k + 5
  33. 10
  34. 24
  35. 44
  36. 8
  37. 52
  38. 35
  39. 42
  40. 18

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