Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 214 · 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 9a + 5b when a = 8 and b = 5.
2. 2.Find the value of 8a + 5b when a = 5 and b = 2.
3. 3.Find the value of 2n + 3 when n = 1.
4. 4.Find the value of 4a + 3b when a = 2 and b = 2.
5. 5.Find the value of 9n + 11 when n = 1.
6. 6.Find the value of 2a + 5b when a = 8 and b = 9.
7. 7.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
8. 8.Kabir has p pencils. A friend has 3 more. Which expression shows how many pencils the friend has? (a) 3p (b) p − 3 (c) p + 3 (d) p ÷ 3
9. 9.Arjun has n laddoos. A friend has 8 times as many. Which expression shows how many laddoos the friend has? (a) n ÷ 8 (b) n − 8 (c) 8n (d) n + 8
10. 10.Nisha shares k pencils equally among 7 friends. Which expression shows how many pencils each friend gets? (a) k ÷ 7 (b) k − 7 (c) k + 7 (d) 7k
11. 11.Find the value of 9a + 4b when a = 10 and b = 9.
12. 12.Find the value of 6a + 9b when a = 7 and b = 7.
13. 13.Karan shares n marbles equally among 6 friends. Which expression shows how many marbles each friend gets? (a) n − 6 (b) n ÷ 6 (c) n + 6 (d) 6n
14. 14.Arjun has n laddoos. A friend has 2 times as many. Which expression shows how many laddoos the friend has? (a) 2n (b) n + 2 (c) n ÷ 2 (d) n − 2
15. 15.Solve: x + 5 = 10. What is x?
16. 16.Find the value of 7x + 12 when x = 2.
17. 17.Solve: m + 11 = 21. What is m?
18. 18.Find the value of 9a + 5b when a = 3 and b = 1.
19. 19.Find the value of 4a + 3b when a = 9 and b = 1.
20. 20.Rahul has k kites. A friend has 4 times as many. Which expression shows how many kites the friend has? (a) k ÷ 4 (b) 4k (c) k + 4 (d) k − 4
21. 21.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
22. 22.Solve: x ÷ 4 = 16. What is x?
23. 23.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
24. 24.Solve: t − 3 = 5. What is t?
25. 25.Find the value of 9t + 9 when t = 1.
26. 26.Find the value of 7a + 3b when a = 3 and b = 1.
27. 27.Solve: 6n = 120. What is n?
28. 28.Saanvi has m shells. A friend has 6 more. Which expression shows how many shells the friend has? (a) m − 6 (b) 6m (c) m + 6 (d) m ÷ 6
29. 29.Find the value of 4a + 2b when a = 6 and b = 3.
30. 30.Find the value of 8a + 2b when a = 8 and b = 8.
31. 31.Find the value of 6x − 8 when x = 4.
32. 32.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
33. 33.Solve: 5t = 100. What is t?
34. 34.Solve: 2y = 12. What is y?
35. 35.Solve: p + 5 = 8. What is p?
36. 36.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
37. 37.Find the value of 4a + 3b when a = 3 and b = 3.
38. 38.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
39. 39.Find the value of 6a + 5b when a = 7 and b = 3.
40. 40.Find the value of 7x − 63 when x = 12.

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