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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 335 · 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.Kabir has m kites. A friend has 8 times as many. Which expression shows how many kites the friend has? (a) m − 8 (b) 8m (c) m ÷ 8 (d) m + 8
  2. 2.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  3. 3.Rohan has p marbles. A friend has 9 times as many. Which expression shows how many marbles the friend has? (a) p − 9 (b) 9p (c) p ÷ 9 (d) p + 9
  4. 4.Solve: 5y = 55. What is y?
  5. 5.Find the value of 7n + 1 when n = 1.
  6. 6.Find the value of 8a + 9b when a = 4 and b = 6.
  7. 7.Solve: p + 2 = 13. What is p?
  8. 8.Find the value of 3a + 8b when a = 2 and b = 9.
  9. 9.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  10. 10.Arjun shares p laddoos equally among 7 friends. Which expression shows how many laddoos each friend gets? (a) 7p (b) p − 7 (c) p + 7 (d) p ÷ 7
  11. 11.Find the value of 5a + 6b when a = 8 and b = 1.
  12. 12.Find the value of 7a + 7b when a = 5 and b = 7.
  13. 13.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
  14. 14.Solve: 7n = 49. What is n?
  15. 15.Solve: 11t = 55. What is t?
  16. 16.Find the value of 8t + 16 when t = 4.
  17. 17.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
  18. 18.Find the value of 9a + 6b when a = 2 and b = 7.
  19. 19.Solve: m ÷ 5 = 19. What is m?
  20. 20.Find the value of 8x + 2 when x = 5.
  21. 21.Find the value of 6m − 17 when m = 3.
  22. 22.Solve: p ÷ 4 = 1. What is p?
  23. 23.Find the value of 2a + 3b when a = 2 and b = 4.
  24. 24.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
  25. 25.Find the value of 6m + 4 when m = 4.
  26. 26.Find the value of 4n − 6 when n = 5.
  27. 27.Find the value of 5y + 15 when y = 3.
  28. 28.Sneha has n bananas. A friend has 3 more. Which expression shows how many bananas the friend has? (a) 3n (b) n − 3 (c) n ÷ 3 (d) n + 3
  29. 29.Find the value of 8a + 2b when a = 3 and b = 2.
  30. 30.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  31. 31.Find the value of 3x − 19 when x = 7.
  32. 32.Find the value of 3a + 2b when a = 1 and b = 1.
  33. 33.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
  34. 34.Find the value of 6a + 7b when a = 8 and b = 7.
  35. 35.Find the value of 9n − 8 when n = 2.
  36. 36.Find the value of 4y − 6 when y = 2.
  37. 37.Find the value of 8x − 39 when x = 10.
  38. 38.Nisha shares m bananas equally among 3 friends. Which expression shows how many bananas each friend gets? (a) m + 3 (b) m − 3 (c) 3m (d) m ÷ 3
  39. 39.Find the value of 5p − 15 when p = 4.
  40. 40.Find the value of 4a + 7b when a = 4 and b = 10.

Answer key

  1. 8m
  2. 18
  3. 9p
  4. 11
  5. 8
  6. 86
  7. 11
  8. 78
  9. 45
  10. p ÷ 7
  11. 46
  12. 84
  13. 52
  14. 7
  15. 5
  16. 48
  17. 58
  18. 60
  19. 95
  20. 42
  21. 1
  22. 4
  23. 16
  24. 38
  25. 28
  26. 14
  27. 30
  28. n + 3
  29. 28
  30. 10
  31. 2
  32. 5
  33. 32
  34. 97
  35. 10
  36. 2
  37. 41
  38. m ÷ 3
  39. 5
  40. 86

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