Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 311 · 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.Farhan has n flowers. A friend has 8 more. Which expression shows how many flowers the friend has? (a) n ÷ 8 (b) 8n (c) n + 8 (d) n − 8
2. 2.Arjun has m laddoos. A friend has 6 more. Which expression shows how many laddoos the friend has? (a) m − 6 (b) 6m (c) m ÷ 6 (d) m + 6
3. 3.Find the value of 3a + 6b when a = 8 and b = 6.
4. 4.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
5. 5.Find the value of 8m + 14 when m = 7.
6. 6.Find the value of 8a + 8b when a = 2 and b = 10.
7. 7.Solve: n ÷ 4 = 6. What is n?
8. 8.Solve: 4m = 8. What is m?
9. 9.Solve: t ÷ 9 = 4. What is t?
10. 10.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
11. 11.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
12. 12.Find the value of 3a + 6b when a = 7 and b = 4.
13. 13.Aarav has n mangoes. A friend has 8 fewer. Which expression shows how many mangoes the friend has? (a) n + 8 (b) n − 8 (c) 8n (d) n ÷ 8
14. 14.Find the value of 4a + 8b when a = 8 and b = 5.
15. 15.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
16. 16.Rahul has p pencils. A friend has 7 more. Which expression shows how many pencils the friend has? (a) p + 7 (b) 7p (c) p − 7 (d) p ÷ 7
17. 17.Ishaan has m crayons. A friend has 9 fewer. Which expression shows how many crayons the friend has? (a) m − 9 (b) 9m (c) m + 9 (d) m ÷ 9
18. 18.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
19. 19.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
20. 20.Find the value of 7a + 8b when a = 4 and b = 1.
21. 21.Find the value of 3t + 10 when t = 9.
22. 22.Nisha has n crayons. A friend has 5 times as many. Which expression shows how many crayons the friend has? (a) n − 5 (b) n + 5 (c) n ÷ 5 (d) 5n
23. 23.Dev has k marbles. A friend has 7 more. Which expression shows how many marbles the friend has? (a) k ÷ 7 (b) k − 7 (c) 7k (d) k + 7
24. 24.Find the value of 9n + 18 when n = 6.
25. 25.Solve: x − 7 = 6. What is x?
26. 26.Solve: 2x = 32. What is x?
27. 27.Find the value of 3x + 19 when x = 10.
28. 28.Find the value of 4a + 9b when a = 3 and b = 4.
29. 29.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
30. 30.Find the value of 7p + 8 when p = 8.
31. 31.Find the value of 9p + 12 when p = 5.
32. 32.Joseph has m kites. A friend has 2 more. Which expression shows how many kites the friend has? (a) m + 2 (b) m − 2 (c) m ÷ 2 (d) 2m
33. 33.Find the value of 4m − 25 when m = 9.
34. 34.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
35. 35.Find the value of 8m + 8 when m = 8.
36. 36.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
37. 37.Find the value of 7a + 8b when a = 1 and b = 6.
38. 38.Solve: x + 3 = 21. What is x?
39. 39.Priya has n marbles. A friend has 4 times as many. Which expression shows how many marbles the friend has? (a) n − 4 (b) n + 4 (c) 4n (d) n ÷ 4
40. 40.Find the value of 8a + 7b when a = 2 and b = 1.

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