Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 254 · 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 12 letters?
2. 2.Sneha has m flowers. A friend has 3 more. Which expression shows how many flowers the friend has? (a) 3m (b) m + 3 (c) m − 3 (d) m ÷ 3
3. 3.Tara has k balls. A friend has 4 fewer. Which expression shows how many balls the friend has? (a) 4k (b) k + 4 (c) k − 4 (d) k ÷ 4
4. 4.Find the value of 5m + 8 when m = 4.
5. 5.Arjun shares k mangoes equally among 7 friends. Which expression shows how many mangoes each friend gets? (a) 7k (b) k ÷ 7 (c) k − 7 (d) k + 7
6. 6.Solve: 10m = 20. What is m?
7. 7.Find the value of 8n + 8 when n = 8.
8. 8.Solve: n + 6 = 8. What is n?
9. 9.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
10. 10.Find the value of 8a + 7b when a = 6 and b = 9.
11. 11.Find the value of 8x − 16 when x = 3.
12. 12.Find the value of 4p − 7 when p = 9.
13. 13.Find the value of 8a + 5b when a = 8 and b = 10.
14. 14.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
15. 15.Find the value of 6t − 31 when t = 8.
16. 16.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
17. 17.Find the value of 3a + 3b when a = 3 and b = 3.
18. 18.Find the value of 3t − 2 when t = 3.
19. 19.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
20. 20.Find the value of 4a + 2b when a = 1 and b = 3.
21. 21.Find the value of 2x + 3 when x = 1.
22. 22.Zoya has n laddoos. A friend has 6 fewer. Which expression shows how many laddoos the friend has? (a) n + 6 (b) 6n (c) n ÷ 6 (d) n − 6
23. 23.Rohan has n pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) n ÷ 6 (b) n + 6 (c) n − 6 (d) 6n
24. 24.Find the value of 6a + 4b when a = 8 and b = 6.
25. 25.Dev has n pencils. A friend has 3 times as many. Which expression shows how many pencils the friend has? (a) n − 3 (b) n + 3 (c) 3n (d) n ÷ 3
26. 26.Find the value of 4m + 9 when m = 3.
27. 27.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
28. 28.Find the value of 4a + 7b when a = 7 and b = 1.
29. 29.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
30. 30.Ishaan shares m flowers equally among 3 friends. Which expression shows how many flowers each friend gets? (a) 3m (b) m − 3 (c) m + 3 (d) m ÷ 3
31. 31.Find the value of 5y − 3 when y = 9.
32. 32.Find the value of 2a + 4b when a = 8 and b = 6.
33. 33.Find the value of 3t + 4 when t = 8.
34. 34.Vivaan has k balls. A friend has 5 more. Which expression shows how many balls the friend has? (a) 5k (b) k ÷ 5 (c) k − 5 (d) k + 5
35. 35.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
36. 36.Manav has m balloons. A friend has 3 times as many. Which expression shows how many balloons the friend has? (a) m − 3 (b) 3m (c) m ÷ 3 (d) m + 3
37. 37.Find the value of 3a + 3b when a = 3 and b = 1.
38. 38.Find the value of 4n + 11 when n = 1.
39. 39.Solve: p − 4 = 16. What is p?
40. 40.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?

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