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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 318 · 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.Solve: y + 4 = 12. What is y?
  2. 2.Find the value of 8x − 4 when x = 6.
  3. 3.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  4. 4.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
  5. 5.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
  6. 6.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
  7. 7.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  8. 8.Find the value of 3p − 1 when p = 4.
  9. 9.Lakshmi has p books. A friend has 8 fewer. Which expression shows how many books the friend has? (a) p + 8 (b) p − 8 (c) p ÷ 8 (d) 8p
  10. 10.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  11. 11.Zoya has n crayons. A friend has 4 fewer. Which expression shows how many crayons the friend has? (a) n ÷ 4 (b) n − 4 (c) n + 4 (d) 4n
  12. 12.Solve: x ÷ 8 = 19. What is x?
  13. 13.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  14. 14.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  15. 15.Find the value of 4y + 4 when y = 4.
  16. 16.Find the value of 2p + 9 when p = 4.
  17. 17.Find the value of 9a + 2b when a = 2 and b = 8.
  18. 18.Tara shares n bananas equally among 2 friends. Which expression shows how many bananas each friend gets? (a) 2n (b) n ÷ 2 (c) n − 2 (d) n + 2
  19. 19.Find the value of 5p + 4 when p = 1.
  20. 20.Find the value of 6p + 5 when p = 2.
  21. 21.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
  22. 22.Find the value of 6a + 8b when a = 10 and b = 2.
  23. 23.Farhan shares p flowers equally among 7 friends. Which expression shows how many flowers each friend gets? (a) p + 7 (b) p ÷ 7 (c) 7p (d) p − 7
  24. 24.Find the value of 2y + 16 when y = 5.
  25. 25.Find the value of 8y − 1 when y = 2.
  26. 26.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
  27. 27.Kavya shares n flowers equally among 2 friends. Which expression shows how many flowers each friend gets? (a) 2n (b) n ÷ 2 (c) n + 2 (d) n − 2
  28. 28.Priya has m mangoes. A friend has 6 fewer. Which expression shows how many mangoes the friend has? (a) m + 6 (b) m ÷ 6 (c) 6m (d) m − 6
  29. 29.Meera has p marbles. A friend has 7 fewer. Which expression shows how many marbles the friend has? (a) p + 7 (b) p − 7 (c) 7p (d) p ÷ 7
  30. 30.Solve: m + 12 = 16. What is m?
  31. 31.Find the value of 7n − 19 when n = 6.
  32. 32.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  33. 33.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
  34. 34.Find the value of 5x − 6 when x = 8.
  35. 35.Solve: t ÷ 11 = 6. What is t?
  36. 36.Find the value of 4m − 17 when m = 5.
  37. 37.Priya has n balls. A friend has 2 more. Which expression shows how many balls the friend has? (a) n ÷ 2 (b) n − 2 (c) 2n (d) n + 2
  38. 38.Solve: n + 9 = 21. What is n?
  39. 39.Nisha has p laddoos. A friend has 5 times as many. Which expression shows how many laddoos the friend has? (a) p − 5 (b) 5p (c) p ÷ 5 (d) p + 5
  40. 40.Find the value of 5n − 12 when n = 10.

Answer key

  1. 8
  2. 44
  3. 57
  4. 81
  5. 58
  6. 51
  7. 15
  8. 11
  9. p − 8
  10. 30
  11. n − 4
  12. 152
  13. 12
  14. 27
  15. 20
  16. 17
  17. 34
  18. n ÷ 2
  19. 9
  20. 17
  21. 32
  22. 76
  23. p ÷ 7
  24. 26
  25. 15
  26. 32
  27. n ÷ 2
  28. m − 6
  29. p − 7
  30. 4
  31. 23
  32. 21
  33. 60
  34. 34
  35. 66
  36. 3
  37. n + 2
  38. 12
  39. 5p
  40. 38

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