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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 433 · 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 29 letters?
  2. 2.Solve: 9n = 27. What is n?
  3. 3.Solve: n + 2 = 14. What is n?
  4. 4.Find the value of 3a + 5b when a = 4 and b = 8.
  5. 5.Vivaan has m shells. A friend has 4 times as many. Which expression shows how many shells the friend has? (a) m + 4 (b) m ÷ 4 (c) 4m (d) m − 4
  6. 6.Solve: y + 11 = 13. What is y?
  7. 7.Ishaan 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) 9n (d) n + 9
  8. 8.Find the value of 3n + 4 when n = 11.
  9. 9.Find the value of 5a + 7b when a = 10 and b = 4.
  10. 10.Find the value of 4a + 4b when a = 10 and b = 7.
  11. 11.Kavya has n laddoos. A friend has 5 more. Which expression shows how many laddoos the friend has? (a) n − 5 (b) n ÷ 5 (c) n + 5 (d) 5n
  12. 12.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
  13. 13.Pooja has n laddoos. A friend has 8 more. Which expression shows how many laddoos the friend has? (a) n ÷ 8 (b) n + 8 (c) n − 8 (d) 8n
  14. 14.Find the value of 4a + 7b when a = 8 and b = 10.
  15. 15.Find the value of 2y + 20 when y = 9.
  16. 16.Aditya has k marbles. A friend has 8 times as many. Which expression shows how many marbles the friend has? (a) 8k (b) k + 8 (c) k − 8 (d) k ÷ 8
  17. 17.Find the value of 5a + 3b when a = 4 and b = 9.
  18. 18.Diya has n shells. A friend has 5 fewer. Which expression shows how many shells the friend has? (a) n + 5 (b) n − 5 (c) 5n (d) n ÷ 5
  19. 19.Find the value of 4p + 13 when p = 7.
  20. 20.Karan shares k kites equally among 6 friends. Which expression shows how many kites each friend gets? (a) k + 6 (b) k − 6 (c) 6k (d) k ÷ 6
  21. 21.Aditya has m bananas. A friend has 8 fewer. Which expression shows how many bananas the friend has? (a) m − 8 (b) m + 8 (c) 8m (d) m ÷ 8
  22. 22.Ishaan has p mangoes. A friend has 5 times as many. Which expression shows how many mangoes the friend has? (a) p ÷ 5 (b) p − 5 (c) 5p (d) p + 5
  23. 23.Ishaan has n bananas. A friend has 7 fewer. Which expression shows how many bananas the friend has? (a) n + 7 (b) n ÷ 7 (c) n − 7 (d) 7n
  24. 24.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
  25. 25.Find the value of 6a + 8b when a = 8 and b = 4.
  26. 26.Find the value of 2x + 12 when x = 2.
  27. 27.Pooja has n laddoos. A friend has 2 times as many. Which expression shows how many laddoos the friend has? (a) 2n (b) n + 2 (c) n ÷ 2 (d) n − 2
  28. 28.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  29. 29.Solve: p ÷ 2 = 1. What is p?
  30. 30.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
  31. 31.Find the value of 2a + 9b when a = 10 and b = 9.
  32. 32.Solve: 12x = 156. What is x?
  33. 33.Solve: m ÷ 6 = 2. What is m?
  34. 34.Find the value of 3a + 3b when a = 5 and b = 2.
  35. 35.Solve: p ÷ 3 = 5. What is p?
  36. 36.Isha has p laddoos. A friend has 5 more. Which expression shows how many laddoos the friend has? (a) p ÷ 5 (b) 5p (c) p − 5 (d) p + 5
  37. 37.Solve: 3m = 6. What is m?
  38. 38.Kavya has k flowers. A friend has 4 times as many. Which expression shows how many flowers the friend has? (a) k + 4 (b) k − 4 (c) 4k (d) k ÷ 4
  39. 39.Find the value of 6a + 6b when a = 9 and b = 7.
  40. 40.Find the value of 4a + 3b when a = 8 and b = 1.

Answer key

  1. 58
  2. 3
  3. 12
  4. 52
  5. 4m
  6. 2
  7. 9n
  8. 37
  9. 78
  10. 68
  11. n + 5
  12. 72
  13. n + 8
  14. 102
  15. 38
  16. 8k
  17. 47
  18. n − 5
  19. 41
  20. k ÷ 6
  21. m − 8
  22. 5p
  23. n − 7
  24. 60
  25. 80
  26. 16
  27. 2n
  28. 10
  29. 2
  30. 46
  31. 101
  32. 13
  33. 12
  34. 21
  35. 15
  36. p + 5
  37. 2
  38. 4k
  39. 96
  40. 35

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