Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 332 · 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.Find the value of 4a + 6b when a = 9 and b = 6.
2. 2.Sneha shares n books equally among 3 friends. Which expression shows how many books each friend gets? (a) n ÷ 3 (b) 3n (c) n + 3 (d) n − 3
3. 3.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 28 letters?
4. 4.Find the value of 5x − 36 when x = 10.
5. 5.Find the value of 3x − 7 when x = 8.
6. 6.Find the value of 3x + 6 when x = 11.
7. 7.Arjun shares n balls equally among 4 friends. Which expression shows how many balls each friend gets? (a) n − 4 (b) 4n (c) n + 4 (d) n ÷ 4
8. 8.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
9. 9.Kabir shares k marbles equally among 3 friends. Which expression shows how many marbles each friend gets? (a) 3k (b) k ÷ 3 (c) k + 3 (d) k − 3
10. 10.Find the value of 9a + 2b when a = 10 and b = 7.
11. 11.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
12. 12.Find the value of 2n − 2 when n = 10.
13. 13.Isha has k crayons. A friend has 4 fewer. Which expression shows how many crayons the friend has? (a) k − 4 (b) k + 4 (c) 4k (d) k ÷ 4
14. 14.Find the value of 7a + 6b when a = 10 and b = 6.
15. 15.Find the value of 2a + 9b when a = 8 and b = 1.
16. 16.Find the value of 3n + 5 when n = 1.
17. 17.Aditya has n laddoos. A friend has 8 fewer. Which expression shows how many laddoos the friend has? (a) 8n (b) n − 8 (c) n + 8 (d) n ÷ 8
18. 18.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 25 letters?
19. 19.Isha has p kites. A friend has 4 more. Which expression shows how many kites the friend has? (a) p + 4 (b) p − 4 (c) p ÷ 4 (d) 4p
20. 20.Find the value of 3a + 3b when a = 8 and b = 10.
21. 21.Find the value of 3t + 16 when t = 3.
22. 22.Arjun has k kites. A friend has 7 times as many. Which expression shows how many kites the friend has? (a) k − 7 (b) k ÷ 7 (c) k + 7 (d) 7k
23. 23.Ishaan has k marbles. A friend has 5 more. Which expression shows how many marbles the friend has? (a) k − 5 (b) 5k (c) k + 5 (d) k ÷ 5
24. 24.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
25. 25.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
26. 26.Find the value of 3y − 2 when y = 3.
27. 27.Find the value of 2t − 1 when t = 3.
28. 28.Find the value of 7a + 5b when a = 10 and b = 7.
29. 29.Solve: y − 2 = 16. What is y?
30. 30.Find the value of 3a + 3b when a = 6 and b = 8.
31. 31.Find the value of 3a + 8b when a = 2 and b = 2.
32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
33. 33.Find the value of 5y − 3 when y = 2.
34. 34.Solve: y + 10 = 25. What is y?
35. 35.Find the value of 4p − 20 when p = 12.
36. 36.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
37. 37.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
38. 38.Solve: x ÷ 7 = 4. What is x?
39. 39.Solve: y + 5 = 13. What is y?
40. 40.Solve: n ÷ 11 = 10. What is n?

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