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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 287 · 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.Zoya has k mangoes. A friend has 5 more. Which expression shows how many mangoes the friend has? (a) 5k (b) k ÷ 5 (c) k − 5 (d) k + 5
  2. 2.Solve: y ÷ 10 = 14. What is y?
  3. 3.Find the value of 9a + 2b when a = 8 and b = 8.
  4. 4.Find the value of 4n + 11 when n = 6.
  5. 5.Find the value of 7t + 16 when t = 10.
  6. 6.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  7. 7.Find the value of 6y + 15 when y = 9.
  8. 8.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
  9. 9.Arjun shares k balls equally among 6 friends. Which expression shows how many balls each friend gets? (a) k ÷ 6 (b) k − 6 (c) 6k (d) k + 6
  10. 10.Meera shares m flowers equally among 9 friends. Which expression shows how many flowers each friend gets? (a) 9m (b) m ÷ 9 (c) m − 9 (d) m + 9
  11. 11.Find the value of 4t − 1 when t = 4.
  12. 12.Find the value of 6y − 2 when y = 4.
  13. 13.Rahul shares p balls equally among 3 friends. Which expression shows how many balls each friend gets? (a) p ÷ 3 (b) p + 3 (c) p − 3 (d) 3p
  14. 14.Find the value of 2p − 11 when p = 6.
  15. 15.Solve: y + 2 = 22. What is y?
  16. 16.Solve: n ÷ 12 = 5. What is n?
  17. 17.Sneha has k flowers. A friend has 7 more. Which expression shows how many flowers the friend has? (a) k ÷ 7 (b) 7k (c) k + 7 (d) k − 7
  18. 18.Solve: m ÷ 3 = 17. What is m?
  19. 19.Find the value of 7p + 20 when p = 3.
  20. 20.Solve: 6x = 24. What is x?
  21. 21.Solve: n + 5 = 8. What is n?
  22. 22.Solve: 3n = 15. What is n?
  23. 23.Find the value of 2y − 1 when y = 1.
  24. 24.Find the value of 8a + 2b when a = 9 and b = 4.
  25. 25.Find the value of 5t − 37 when t = 9.
  26. 26.Farhan has n mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) n + 3 (b) n ÷ 3 (c) n − 3 (d) 3n
  27. 27.Find the value of 9p + 5 when p = 9.
  28. 28.Find the value of 5p − 4 when p = 8.
  29. 29.Find the value of 5a + 3b when a = 10 and b = 3.
  30. 30.Solve: t ÷ 6 = 14. What is t?
  31. 31.Find the value of 8n + 14 when n = 6.
  32. 32.Find the value of 6a + 3b when a = 4 and b = 5.
  33. 33.Nisha has p laddoos. A friend has 7 more. Which expression shows how many laddoos the friend has? (a) p + 7 (b) p − 7 (c) p ÷ 7 (d) 7p
  34. 34.Find the value of 8x − 14 when x = 3.
  35. 35.Find the value of 6a + 2b when a = 9 and b = 4.
  36. 36.Find the value of 5a + 7b when a = 8 and b = 6.
  37. 37.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
  38. 38.Gurpreet has k kites. A friend has 8 more. Which expression shows how many kites the friend has? (a) 8k (b) k + 8 (c) k − 8 (d) k ÷ 8
  39. 39.Find the value of 2a + 8b when a = 3 and b = 9.
  40. 40.Solve: x − 7 = 4. What is x?

Answer key

  1. k + 5
  2. 140
  3. 88
  4. 35
  5. 86
  6. 24
  7. 69
  8. 22
  9. k ÷ 6
  10. m ÷ 9
  11. 15
  12. 22
  13. p ÷ 3
  14. 1
  15. 20
  16. 60
  17. k + 7
  18. 51
  19. 41
  20. 4
  21. 3
  22. 5
  23. 1
  24. 80
  25. 8
  26. n + 3
  27. 86
  28. 36
  29. 59
  30. 84
  31. 62
  32. 39
  33. p + 7
  34. 10
  35. 62
  36. 82
  37. 54
  38. k + 8
  39. 78
  40. 11

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