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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 243 · 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 V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
  2. 2.Arjun has n crayons. A friend has 9 more. Which expression shows how many crayons the friend has? (a) 9n (b) n ÷ 9 (c) n − 9 (d) n + 9
  3. 3.Solve: t + 5 = 8. What is t?
  4. 4.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 14 letters?
  5. 5.Ananya has p books. A friend has 9 fewer. Which expression shows how many books the friend has? (a) 9p (b) p + 9 (c) p − 9 (d) p ÷ 9
  6. 6.Find the value of 2a + 7b when a = 2 and b = 10.
  7. 7.Find the value of 3a + 2b when a = 1 and b = 4.
  8. 8.Find the value of 9x + 8 when x = 3.
  9. 9.Find the value of 3y + 5 when y = 6.
  10. 10.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
  11. 11.Kavya has n bananas. A friend has 9 times as many. Which expression shows how many bananas the friend has? (a) n − 9 (b) n + 9 (c) n ÷ 9 (d) 9n
  12. 12.Meera shares p bananas equally among 5 friends. Which expression shows how many bananas each friend gets? (a) p − 5 (b) p + 5 (c) p ÷ 5 (d) 5p
  13. 13.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  14. 14.Find the value of 9n − 15 when n = 2.
  15. 15.Riya shares n balls equally among 6 friends. Which expression shows how many balls each friend gets? (a) 6n (b) n − 6 (c) n + 6 (d) n ÷ 6
  16. 16.Find the value of 3a + 7b when a = 3 and b = 8.
  17. 17.Nisha shares p laddoos equally among 3 friends. Which expression shows how many laddoos each friend gets? (a) p ÷ 3 (b) p + 3 (c) p − 3 (d) 3p
  18. 18.Farhan has k shells. A friend has 7 fewer. Which expression shows how many shells the friend has? (a) 7k (b) k − 7 (c) k ÷ 7 (d) k + 7
  19. 19.Find the value of 2a + 3b when a = 8 and b = 5.
  20. 20.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
  22. 22.Solve: n ÷ 5 = 13. What is n?
  23. 23.Dev has m bananas. A friend has 5 fewer. Which expression shows how many bananas the friend has? (a) 5m (b) m + 5 (c) m ÷ 5 (d) m − 5
  24. 24.Find the value of 8a + 5b when a = 1 and b = 4.
  25. 25.Solve: p − 11 = 16. What is p?
  26. 26.Meera has m marbles. A friend has 6 times as many. Which expression shows how many marbles the friend has? (a) 6m (b) m − 6 (c) m ÷ 6 (d) m + 6
  27. 27.Find the value of 5a + 7b when a = 6 and b = 6.
  28. 28.Solve: p − 12 = 4. What is p?
  29. 29.Solve: y ÷ 12 = 5. What is y?
  30. 30.Find the value of 7a + 9b when a = 9 and b = 10.
  31. 31.Find the value of 4y + 14 when y = 5.
  32. 32.Kabir has n shells. A friend has 3 fewer. Which expression shows how many shells the friend has? (a) n + 3 (b) n ÷ 3 (c) n − 3 (d) 3n
  33. 33.Find the value of 2a + 2b when a = 6 and b = 10.
  34. 34.Diya has p crayons. A friend has 3 fewer. Which expression shows how many crayons the friend has? (a) p − 3 (b) p ÷ 3 (c) 3p (d) p + 3
  35. 35.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
  36. 36.Kabir has n crayons. A friend has 2 more. Which expression shows how many crayons the friend has? (a) 2n (b) n ÷ 2 (c) n − 2 (d) n + 2
  37. 37.Zoya has n balloons. A friend has 5 fewer. Which expression shows how many balloons the friend has? (a) n ÷ 5 (b) n + 5 (c) n − 5 (d) 5n
  38. 38.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
  39. 39.Solve: m − 4 = 10. What is m?
  40. 40.Solve: y ÷ 11 = 6. What is y?

Answer key

  1. 48
  2. n + 9
  3. 3
  4. 56
  5. p − 9
  6. 74
  7. 11
  8. 35
  9. 23
  10. 58
  11. 9n
  12. p ÷ 5
  13. 30
  14. 3
  15. n ÷ 6
  16. 65
  17. p ÷ 3
  18. k − 7
  19. 31
  20. 69
  21. 36
  22. 65
  23. m − 5
  24. 28
  25. 27
  26. 6m
  27. 72
  28. 16
  29. 60
  30. 153
  31. 34
  32. n − 3
  33. 32
  34. p − 3
  35. 104
  36. n + 2
  37. n − 5
  38. 58
  39. 14
  40. 66

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