Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 278 · 40 sums

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.

1. 1.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
2. 2.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
3. 3.Manav shares n mangoes equally among 6 friends. Which expression shows how many mangoes each friend gets? (a) n − 6 (b) n ÷ 6 (c) n + 6 (d) 6n
4. 4.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
5. 5.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
6. 6.Meera shares p mangoes equally among 6 friends. Which expression shows how many mangoes each friend gets? (a) p + 6 (b) p ÷ 6 (c) p − 6 (d) 6p
7. 7.Solve: 4m = 4. What is m?
8. 8.Aditya has n marbles. A friend has 2 fewer. Which expression shows how many marbles the friend has? (a) 2n (b) n ÷ 2 (c) n − 2 (d) n + 2
9. 9.Find the value of 3p + 5 when p = 6.
10. 10.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
11. 11.Farhan shares m laddoos equally among 8 friends. Which expression shows how many laddoos each friend gets? (a) m ÷ 8 (b) 8m (c) m + 8 (d) m − 8
12. 12.Find the value of 2a + 6b when a = 2 and b = 4.
13. 13.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
14. 14.Solve: p − 7 = 20. What is p?
15. 15.Find the value of 6a + 5b when a = 3 and b = 10.
16. 16.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
17. 17.Rahul shares m crayons equally among 7 friends. Which expression shows how many crayons each friend gets? (a) m + 7 (b) m − 7 (c) m ÷ 7 (d) 7m
18. 18.Find the value of 6n − 34 when n = 11.
19. 19.Solve: n ÷ 6 = 20. What is n?
20. 20.Find the value of 7a + 2b when a = 8 and b = 5.
21. 21.Find the value of 8m + 1 when m = 10.
22. 22.Find the value of 2a + 9b when a = 9 and b = 7.
23. 23.Find the value of 3a + 5b when a = 2 and b = 9.
24. 24.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
25. 25.Rohan has m balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) m ÷ 6 (b) 6m (c) m − 6 (d) m + 6
26. 26.Find the value of 8x − 18 when x = 4.
27. 27.Manav shares k mangoes equally among 9 friends. Which expression shows how many mangoes each friend gets? (a) k ÷ 9 (b) 9k (c) k − 9 (d) k + 9
28. 28.Find the value of 6m − 5 when m = 4.
29. 29.Find the value of 2a + 7b when a = 7 and b = 2.
30. 30.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
31. 31.Find the value of 4a + 3b when a = 6 and b = 3.
32. 32.Priya has m mangoes. A friend has 2 more. Which expression shows how many mangoes the friend has? (a) 2m (b) m ÷ 2 (c) m + 2 (d) m − 2
33. 33.Lakshmi has n marbles. A friend has 3 more. Which expression shows how many marbles the friend has? (a) 3n (b) n + 3 (c) n − 3 (d) n ÷ 3
34. 34.Find the value of 4x − 10 when x = 9.
35. 35.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
36. 36.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
37. 37.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
38. 38.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
39. 39.Solve: y ÷ 6 = 14. What is y?
40. 40.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?

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