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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 222 · 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 4a + 3b when a = 8 and b = 9.
  2. 2.Saanvi shares p balls equally among 7 friends. Which expression shows how many balls each friend gets? (a) p + 7 (b) 7p (c) p − 7 (d) p ÷ 7
  3. 3.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  4. 4.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 29 letters?
  5. 5.Find the value of 6n + 17 when n = 5.
  6. 6.Farhan has n flowers. A friend has 4 fewer. Which expression shows how many flowers the friend has? (a) n − 4 (b) n ÷ 4 (c) 4n (d) n + 4
  7. 7.Find the value of 3a + 6b when a = 2 and b = 2.
  8. 8.Find the value of 3a + 7b when a = 8 and b = 3.
  9. 9.Priya shares p shells equally among 9 friends. Which expression shows how many shells each friend gets? (a) 9p (b) p − 9 (c) p + 9 (d) p ÷ 9
  10. 10.Find the value of 9a + 3b when a = 7 and b = 9.
  11. 11.Find the value of 5n + 5 when n = 11.
  12. 12.Solve: 7t = 70. What is t?
  13. 13.Aarav shares k crayons equally among 4 friends. Which expression shows how many crayons each friend gets? (a) k ÷ 4 (b) k − 4 (c) 4k (d) k + 4
  14. 14.Diya has k mangoes. A friend has 8 fewer. Which expression shows how many mangoes the friend has? (a) k + 8 (b) k ÷ 8 (c) k − 8 (d) 8k
  15. 15.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  16. 16.Find the value of 3a + 4b when a = 10 and b = 2.
  17. 17.Find the value of 9a + 4b when a = 10 and b = 2.
  18. 18.Solve: y ÷ 10 = 2. What is y?
  19. 19.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
  20. 20.Kabir has p balloons. A friend has 9 fewer. Which expression shows how many balloons the friend has? (a) 9p (b) p − 9 (c) p ÷ 9 (d) p + 9
  21. 21.Rohan shares n kites equally among 4 friends. Which expression shows how many kites each friend gets? (a) n − 4 (b) 4n (c) n + 4 (d) n ÷ 4
  22. 22.Find the value of 4a + 2b when a = 6 and b = 9.
  23. 23.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
  24. 24.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
  25. 25.Solve: m + 8 = 20. What is m?
  26. 26.Riya has k mangoes. A friend has 9 more. Which expression shows how many mangoes the friend has? (a) 9k (b) k ÷ 9 (c) k − 9 (d) k + 9
  27. 27.Find the value of 9t + 3 when t = 8.
  28. 28.Riya has n books. A friend has 4 times as many. Which expression shows how many books the friend has? (a) n + 4 (b) n ÷ 4 (c) 4n (d) n − 4
  29. 29.Find the value of 5t + 8 when t = 5.
  30. 30.Priya has m flowers. A friend has 5 more. Which expression shows how many flowers the friend has? (a) m ÷ 5 (b) m + 5 (c) m − 5 (d) 5m
  31. 31.Solve: m − 5 = 1. What is m?
  32. 32.Solve: t − 4 = 13. What is t?
  33. 33.Find the value of 2m + 3 when m = 12.
  34. 34.Find the value of 6a + 5b when a = 7 and b = 1.
  35. 35.Farhan has n laddoos. A friend has 4 more. Which expression shows how many laddoos the friend has? (a) n ÷ 4 (b) 4n (c) n − 4 (d) n + 4
  36. 36.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
  37. 37.Find the value of 8p − 26 when p = 5.
  38. 38.Solve: p − 5 = 6. What is p?
  39. 39.Find the value of 3a + 8b when a = 3 and b = 1.
  40. 40.Manav has k books. A friend has 4 more. Which expression shows how many books the friend has? (a) k − 4 (b) k ÷ 4 (c) 4k (d) k + 4

Answer key

  1. 59
  2. p ÷ 7
  3. 75
  4. 116
  5. 47
  6. n − 4
  7. 18
  8. 45
  9. p ÷ 9
  10. 90
  11. 60
  12. 10
  13. k ÷ 4
  14. k − 8
  15. 78
  16. 38
  17. 98
  18. 20
  19. 60
  20. p − 9
  21. n ÷ 4
  22. 42
  23. 54
  24. 48
  25. 12
  26. k + 9
  27. 75
  28. 4n
  29. 33
  30. m + 5
  31. 6
  32. 17
  33. 27
  34. 47
  35. n + 4
  36. 22
  37. 14
  38. 11
  39. 17
  40. k + 4

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