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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 229 · 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 5y − 1 when y = 1.
  2. 2.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
  3. 3.Isha has k bananas. A friend has 9 more. Which expression shows how many bananas the friend has? (a) k − 9 (b) k + 9 (c) 9k (d) k ÷ 9
  4. 4.Find the value of 8a + 9b when a = 4 and b = 3.
  5. 5.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
  6. 6.Find the value of 6y + 13 when y = 1.
  7. 7.Find the value of 4a + 5b when a = 10 and b = 3.
  8. 8.Solve: m + 2 = 17. What is m?
  9. 9.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
  10. 10.Find the value of 5a + 3b when a = 7 and b = 4.
  11. 11.Find the value of 3y − 3 when y = 6.
  12. 12.Find the value of 7a + 9b when a = 4 and b = 8.
  13. 13.Find the value of 5a + 5b when a = 7 and b = 1.
  14. 14.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  15. 15.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  16. 16.Find the value of 6a + 5b when a = 5 and b = 4.
  17. 17.Find the value of 5y + 7 when y = 9.
  18. 18.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
  19. 19.Find the value of 3a + 4b when a = 1 and b = 2.
  20. 20.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
  21. 21.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  22. 22.Arjun shares n pencils equally among 4 friends. Which expression shows how many pencils each friend gets? (a) 4n (b) n + 4 (c) n − 4 (d) n ÷ 4
  23. 23.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 24 letters?
  24. 24.Find the value of 3m + 11 when m = 1.
  25. 25.Farhan has n laddoos. A friend has 5 times as many. Which expression shows how many laddoos the friend has? (a) n ÷ 5 (b) n − 5 (c) 5n (d) n + 5
  26. 26.Find the value of 5a + 6b when a = 2 and b = 9.
  27. 27.Find the value of 7a + 4b when a = 2 and b = 3.
  28. 28.Solve: p ÷ 11 = 1. What is p?
  29. 29.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
  30. 30.Priya has n bananas. A friend has 5 more. Which expression shows how many bananas the friend has? (a) n ÷ 5 (b) n + 5 (c) n − 5 (d) 5n
  31. 31.Find the value of 9a + 4b when a = 1 and b = 3.
  32. 32.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  33. 33.Rohan has m pencils. A friend has 7 more. Which expression shows how many pencils the friend has? (a) m − 7 (b) m ÷ 7 (c) m + 7 (d) 7m
  34. 34.Solve: t + 11 = 23. What is t?
  35. 35.Karan has n pencils. A friend has 3 times as many. Which expression shows how many pencils the friend has? (a) n − 3 (b) n ÷ 3 (c) n + 3 (d) 3n
  36. 36.Find the value of 2p + 11 when p = 1.
  37. 37.Priya shares n balloons equally among 4 friends. Which expression shows how many balloons each friend gets? (a) n − 4 (b) n + 4 (c) 4n (d) n ÷ 4
  38. 38.Solve: 8t = 152. What is t?
  39. 39.Aditya has n laddoos. A friend has 3 times as many. Which expression shows how many laddoos the friend has? (a) n ÷ 3 (b) n − 3 (c) n + 3 (d) 3n
  40. 40.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?

Answer key

  1. 4
  2. 81
  3. k + 9
  4. 59
  5. 28
  6. 19
  7. 55
  8. 15
  9. 66
  10. 47
  11. 15
  12. 100
  13. 40
  14. 27
  15. 42
  16. 50
  17. 52
  18. 54
  19. 11
  20. 87
  21. 36
  22. n ÷ 4
  23. 96
  24. 14
  25. 5n
  26. 64
  27. 26
  28. 11
  29. 48
  30. n + 5
  31. 21
  32. 75
  33. m + 7
  34. 12
  35. 3n
  36. 13
  37. n ÷ 4
  38. 19
  39. 3n
  40. 24

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