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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 568 · 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.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
  2. 2.Find the value of 3a + 3b when a = 5 and b = 2.
  3. 3.Find the value of 6x + 16 when x = 6.
  4. 4.Solve: y ÷ 9 = 8. What is y?
  5. 5.Solve: 4p = 24. What is p?
  6. 6.Find the value of 4x − 2 when x = 6.
  7. 7.Find the value of 3t − 5 when t = 2.
  8. 8.Find the value of 3a + 5b when a = 6 and b = 10.
  9. 9.Solve: t − 3 = 8. What is t?
  10. 10.Solve: y + 9 = 14. What is y?
  11. 11.Kabir has n balls. A friend has 9 times as many. Which expression shows how many balls the friend has? (a) 9n (b) n − 9 (c) n ÷ 9 (d) n + 9
  12. 12.Ananya has n books. A friend has 2 more. Which expression shows how many books the friend has? (a) 2n (b) n − 2 (c) n ÷ 2 (d) n + 2
  13. 13.Kabir has m balls. A friend has 9 more. Which expression shows how many balls the friend has? (a) m + 9 (b) 9m (c) m ÷ 9 (d) m − 9
  14. 14.Find the value of 9a + 4b when a = 6 and b = 6.
  15. 15.Dev has p crayons. A friend has 7 times as many. Which expression shows how many crayons the friend has? (a) 7p (b) p − 7 (c) p ÷ 7 (d) p + 7
  16. 16.Find the value of 6a + 5b when a = 5 and b = 9.
  17. 17.Solve: 12t = 60. What is t?
  18. 18.Solve: n − 11 = 20. What is n?
  19. 19.Solve: 8x = 48. What is x?
  20. 20.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
  21. 21.Find the value of 8y + 13 when y = 4.
  22. 22.Farhan has n bananas. A friend has 9 fewer. Which expression shows how many bananas the friend has? (a) n + 9 (b) n ÷ 9 (c) 9n (d) n − 9
  23. 23.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
  24. 24.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
  25. 25.Find the value of 9a + 7b when a = 10 and b = 1.
  26. 26.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  27. 27.Find the value of 7x − 16 when x = 6.
  28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
  29. 29.Karan shares m bananas equally among 2 friends. Which expression shows how many bananas each friend gets? (a) m − 2 (b) m ÷ 2 (c) 2m (d) m + 2
  30. 30.Solve: m ÷ 10 = 6. What is m?
  31. 31.Meera has m crayons. A friend has 7 times as many. Which expression shows how many crayons the friend has? (a) 7m (b) m ÷ 7 (c) m + 7 (d) m − 7
  32. 32.Find the value of 9a + 8b when a = 5 and b = 7.
  33. 33.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
  34. 34.Sneha has p bananas. A friend has 8 fewer. Which expression shows how many bananas the friend has? (a) 8p (b) p − 8 (c) p ÷ 8 (d) p + 8
  35. 35.Find the value of 7a + 8b when a = 3 and b = 6.
  36. 36.Kabir shares m pencils equally among 6 friends. Which expression shows how many pencils each friend gets? (a) m + 6 (b) m ÷ 6 (c) m − 6 (d) 6m
  37. 37.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 18 letters?
  38. 38.Pooja shares m shells equally among 4 friends. Which expression shows how many shells each friend gets? (a) m ÷ 4 (b) m − 4 (c) 4m (d) m + 4
  39. 39.Gurpreet has p mangoes. A friend has 2 more. Which expression shows how many mangoes the friend has? (a) p ÷ 2 (b) p − 2 (c) p + 2 (d) 2p
  40. 40.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?

Answer key

  1. 42
  2. 21
  3. 52
  4. 72
  5. 6
  6. 22
  7. 1
  8. 68
  9. 11
  10. 5
  11. 9n
  12. n + 2
  13. m + 9
  14. 78
  15. 7p
  16. 75
  17. 5
  18. 31
  19. 6
  20. 42
  21. 45
  22. n − 9
  23. 80
  24. 60
  25. 97
  26. 18
  27. 26
  28. 38
  29. m ÷ 2
  30. 60
  31. 7m
  32. 101
  33. 44
  34. p − 8
  35. 69
  36. m ÷ 6
  37. 72
  38. m ÷ 4
  39. p + 2
  40. 22

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