Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 616 · 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.Joseph has p laddoos. A friend has 8 times as many. Which expression shows how many laddoos the friend has? (a) p − 8 (b) 8p (c) p ÷ 8 (d) p + 8
2. 2.Solve: x − 3 = 8. What is x?
3. 3.Joseph has m bananas. A friend has 5 more. Which expression shows how many bananas the friend has? (a) m − 5 (b) m + 5 (c) m ÷ 5 (d) 5m
4. 4.Find the value of 6a + 8b when a = 6 and b = 7.
5. 5.Solve: 2y = 22. What is y?
6. 6.Arjun shares n shells equally among 2 friends. Which expression shows how many shells each friend gets? (a) 2n (b) n + 2 (c) n ÷ 2 (d) n − 2
7. 7.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
8. 8.Find the value of 8t − 3 when t = 2.
9. 9.Solve: x + 9 = 10. What is x?
10. 10.Pooja has k books. A friend has 4 fewer. Which expression shows how many books the friend has? (a) k + 4 (b) k − 4 (c) k ÷ 4 (d) 4k
11. 11.Joseph has p shells. A friend has 2 times as many. Which expression shows how many shells the friend has? (a) p + 2 (b) 2p (c) p ÷ 2 (d) p − 2
12. 12.Karan has k pencils. A friend has 6 times as many. Which expression shows how many pencils the friend has? (a) k ÷ 6 (b) k + 6 (c) 6k (d) k − 6
13. 13.Solve: m − 9 = 19. What is m?
14. 14.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
15. 15.Find the value of 2a + 8b when a = 9 and b = 8.
16. 16.Find the value of 5a + 4b when a = 8 and b = 2.
17. 17.Find the value of 3p − 2 when p = 6.
18. 18.Find the value of 6n − 2 when n = 9.
19. 19.Solve: y ÷ 3 = 13. What is y?
20. 20.Solve: n ÷ 3 = 9. What is n?
21. 21.Solve: n − 3 = 15. What is n?
22. 22.Aarav has k flowers. A friend has 8 times as many. Which expression shows how many flowers the friend has? (a) k − 8 (b) k ÷ 8 (c) k + 8 (d) 8k
23. 23.Find the value of 5a + 7b when a = 7 and b = 9.
24. 24.Find the value of 6a + 3b when a = 8 and b = 1.
25. 25.Find the value of 4a + 9b when a = 3 and b = 2.
26. 26.Solve: m − 7 = 10. What is m?
27. 27.Find the value of 7a + 3b when a = 3 and b = 1.
28. 28.Tara has p marbles. A friend has 3 more. Which expression shows how many marbles the friend has? (a) p ÷ 3 (b) 3p (c) p − 3 (d) p + 3
29. 29.Find the value of 4p + 11 when p = 3.
30. 30.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
31. 31.Solve: t ÷ 9 = 5. What is t?
32. 32.Solve: n − 12 = 19. What is n?
33. 33.Rohan shares k kites equally among 8 friends. Which expression shows how many kites each friend gets? (a) k ÷ 8 (b) k − 8 (c) k + 8 (d) 8k
34. 34.Find the value of 9y + 1 when y = 10.
35. 35.Find the value of 5x − 6 when x = 3.
36. 36.Arjun has k balloons. A friend has 7 fewer. Which expression shows how many balloons the friend has? (a) 7k (b) k ÷ 7 (c) k + 7 (d) k − 7
37. 37.Find the value of 2m + 11 when m = 7.
38. 38.Find the value of 4a + 7b when a = 2 and b = 4.
39. 39.Solve: m + 11 = 13. What is m?
40. 40.Find the value of 8a + 7b when a = 4 and b = 1.

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