Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 506 · 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 C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
2. 2.Find the value of 8a + 3b when a = 9 and b = 5.
3. 3.Rohan has n balls. A friend has 5 more. Which expression shows how many balls the friend has? (a) n ÷ 5 (b) 5n (c) n − 5 (d) n + 5
4. 4.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
5. 5.Find the value of 4a + 2b when a = 3 and b = 10.
6. 6.Find the value of 9n − 27 when n = 10.
7. 7.Find the value of 5a + 2b when a = 3 and b = 4.
8. 8.Find the value of 6a + 9b when a = 9 and b = 7.
9. 9.Solve: 2y = 8. What is y?
10. 10.Find the value of 7a + 5b when a = 9 and b = 5.
11. 11.Find the value of 5y + 11 when y = 8.
12. 12.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 11 letters?
13. 13.Nisha has n kites. A friend has 6 times as many. Which expression shows how many kites the friend has? (a) n ÷ 6 (b) n + 6 (c) 6n (d) n − 6
14. 14.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
15. 15.Find the value of 3a + 9b when a = 7 and b = 5.
16. 16.Vivaan has m balls. A friend has 5 more. Which expression shows how many balls the friend has? (a) m − 5 (b) 5m (c) m ÷ 5 (d) m + 5
17. 17.Find the value of 6p + 5 when p = 10.
18. 18.Sneha shares n laddoos equally among 8 friends. Which expression shows how many laddoos each friend gets? (a) 8n (b) n ÷ 8 (c) n − 8 (d) n + 8
19. 19.Diya shares p bananas equally among 9 friends. Which expression shows how many bananas each friend gets? (a) p − 9 (b) p + 9 (c) p ÷ 9 (d) 9p
20. 20.Sneha has p marbles. A friend has 2 more. Which expression shows how many marbles the friend has? (a) p + 2 (b) 2p (c) p − 2 (d) p ÷ 2
21. 21.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
22. 22.Find the value of 2a + 4b when a = 2 and b = 7.
23. 23.Solve: 4n = 60. What is n?
24. 24.Solve: p ÷ 5 = 7. What is p?
25. 25.Joseph has m shells. A friend has 4 fewer. Which expression shows how many shells the friend has? (a) m − 4 (b) m + 4 (c) m ÷ 4 (d) 4m
26. 26.Find the value of 4a + 6b when a = 1 and b = 1.
27. 27.Find the value of 8y − 6 when y = 8.
28. 28.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
29. 29.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
30. 30.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
31. 31.Solve: n − 3 = 12. What is n?
32. 32.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
33. 33.Find the value of 9a + 6b when a = 1 and b = 8.
34. 34.Find the value of 7t − 7 when t = 2.
35. 35.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
36. 36.Solve: 5x = 10. What is x?
37. 37.Find the value of 9a + 4b when a = 4 and b = 4.
38. 38.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
39. 39.Ishaan shares k crayons equally among 4 friends. Which expression shows how many crayons each friend gets? (a) 4k (b) k + 4 (c) k − 4 (d) k ÷ 4
40. 40.Find the value of 3x − 7 when x = 12.

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