Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 240 · 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 E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
2. 2.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
3. 3.Find the value of 9m − 74 when m = 11.
4. 4.Find the value of 3x − 25 when x = 11.
5. 5.Find the value of 3m + 7 when m = 8.
6. 6.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
7. 7.Find the value of 4a + 2b when a = 6 and b = 6.
8. 8.Find the value of 4a + 2b when a = 2 and b = 2.
9. 9.Find the value of 3n − 32 when n = 11.
10. 10.Solve: n + 8 = 21. What is n?
11. 11.Find the value of 9a + 6b when a = 10 and b = 7.
12. 12.Solve: t + 7 = 27. What is t?
13. 13.Solve: x + 8 = 19. What is x?
14. 14.Find the value of 5p + 10 when p = 5.
15. 15.Find the value of 6m − 10 when m = 3.
16. 16.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
17. 17.Riya has k bananas. A friend has 8 fewer. Which expression shows how many bananas the friend has? (a) k − 8 (b) 8k (c) k ÷ 8 (d) k + 8
18. 18.Solve: 4x = 56. What is x?
19. 19.Find the value of 6a + 6b when a = 4 and b = 4.
20. 20.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
21. 21.Solve: y + 7 = 23. What is y?
22. 22.Find the value of 9a + 3b when a = 2 and b = 1.
23. 23.Solve: n + 5 = 11. What is n?
24. 24.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
25. 25.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
26. 26.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
27. 27.Ananya has m laddoos. A friend has 2 more. Which expression shows how many laddoos the friend has? (a) m ÷ 2 (b) m − 2 (c) m + 2 (d) 2m
28. 28.Meera has m balls. A friend has 5 fewer. Which expression shows how many balls the friend has? (a) 5m (b) m − 5 (c) m ÷ 5 (d) m + 5
29. 29.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
30. 30.Rahul has n books. A friend has 7 times as many. Which expression shows how many books the friend has? (a) n ÷ 7 (b) n + 7 (c) 7n (d) n − 7
31. 31.Find the value of 9n − 60 when n = 12.
32. 32.Joseph shares k balloons equally among 8 friends. Which expression shows how many balloons each friend gets? (a) k − 8 (b) k ÷ 8 (c) k + 8 (d) 8k
33. 33.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
34. 34.Find the value of 7a + 7b when a = 5 and b = 2.
35. 35.Find the value of 4a + 2b when a = 5 and b = 9.
36. 36.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
37. 37.Rahul has p pencils. A friend has 5 more. Which expression shows how many pencils the friend has? (a) p + 5 (b) 5p (c) p − 5 (d) p ÷ 5
38. 38.Solve: t + 2 = 22. What is t?
39. 39.Find the value of 5x − 11 when x = 6.
40. 40.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?

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