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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 338 · 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.Karan shares p books equally among 7 friends. Which expression shows how many books each friend gets? (a) p + 7 (b) p ÷ 7 (c) 7p (d) p − 7
  2. 2.Find the value of 2p − 3 when p = 11.
  3. 3.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  4. 4.Solve: p + 10 = 16. What is p?
  5. 5.Tara has k balloons. A friend has 2 more. Which expression shows how many balloons the friend has? (a) k − 2 (b) 2k (c) k ÷ 2 (d) k + 2
  6. 6.Solve: t + 5 = 18. What is t?
  7. 7.Find the value of 9n − 7 when n = 1.
  8. 8.Solve: p − 9 = 8. What is p?
  9. 9.Find the value of 8a + 9b when a = 1 and b = 8.
  10. 10.Lakshmi has p pencils. A friend has 2 fewer. Which expression shows how many pencils the friend has? (a) p − 2 (b) p ÷ 2 (c) p + 2 (d) 2p
  11. 11.Find the value of 5a + 5b when a = 9 and b = 9.
  12. 12.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
  13. 13.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  14. 14.Riya shares p marbles equally among 7 friends. Which expression shows how many marbles each friend gets? (a) p − 7 (b) 7p (c) p ÷ 7 (d) p + 7
  15. 15.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  16. 16.Find the value of 8a + 4b when a = 7 and b = 5.
  17. 17.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  18. 18.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
  19. 19.Find the value of 4a + 8b when a = 3 and b = 2.
  20. 20.Solve: x + 11 = 28. What is x?
  21. 21.Solve: x + 8 = 26. What is x?
  22. 22.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
  23. 23.Find the value of 4n − 3 when n = 5.
  24. 24.Rahul shares p crayons equally among 2 friends. Which expression shows how many crayons each friend gets? (a) p + 2 (b) p ÷ 2 (c) p − 2 (d) 2p
  25. 25.Farhan has k marbles. A friend has 8 fewer. Which expression shows how many marbles the friend has? (a) k ÷ 8 (b) 8k (c) k + 8 (d) k − 8
  26. 26.Find the value of 9a + 4b when a = 10 and b = 9.
  27. 27.Find the value of 4x + 20 when x = 7.
  28. 28.Pooja has n crayons. A friend has 5 times as many. Which expression shows how many crayons the friend has? (a) n ÷ 5 (b) n − 5 (c) n + 5 (d) 5n
  29. 29.Solve: m + 3 = 12. What is m?
  30. 30.Find the value of 3y + 8 when y = 2.
  31. 31.Solve: p − 4 = 10. What is p?
  32. 32.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  33. 33.Find the value of 2p − 1 when p = 1.
  34. 34.Aditya has m laddoos. A friend has 5 fewer. Which expression shows how many laddoos the friend has? (a) m − 5 (b) m + 5 (c) m ÷ 5 (d) 5m
  35. 35.Vivaan shares m laddoos equally among 4 friends. Which expression shows how many laddoos each friend gets? (a) m + 4 (b) 4m (c) m ÷ 4 (d) m − 4
  36. 36.Find the value of 5a + 3b when a = 2 and b = 9.
  37. 37.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
  38. 38.Find the value of 3p − 4 when p = 4.
  39. 39.Ananya has p balloons. A friend has 3 times as many. Which expression shows how many balloons the friend has? (a) p + 3 (b) 3p (c) p ÷ 3 (d) p − 3
  40. 40.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?

Answer key

  1. p ÷ 7
  2. 19
  3. 56
  4. 6
  5. k + 2
  6. 13
  7. 2
  8. 17
  9. 80
  10. p − 2
  11. 90
  12. 51
  13. 36
  14. p ÷ 7
  15. 18
  16. 76
  17. 27
  18. 22
  19. 28
  20. 17
  21. 18
  22. 58
  23. 17
  24. p ÷ 2
  25. k − 8
  26. 126
  27. 48
  28. 5n
  29. 9
  30. 14
  31. 14
  32. 45
  33. 1
  34. m − 5
  35. m ÷ 4
  36. 37
  37. 14
  38. 8
  39. 3p
  40. 87

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