Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 489 · 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 5a + 6b when a = 2 and b = 8.
2. 2.Joseph has p laddoos. A friend has 2 more. Which expression shows how many laddoos the friend has? (a) p ÷ 2 (b) p + 2 (c) p − 2 (d) 2p
3. 3.Rahul has k shells. A friend has 4 times as many. Which expression shows how many shells the friend has? (a) 4k (b) k + 4 (c) k ÷ 4 (d) k − 4
4. 4.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
5. 5.Solve: x − 12 = 3. What is x?
6. 6.Find the value of 2a + 7b when a = 4 and b = 9.
7. 7.Find the value of 2a + 4b when a = 2 and b = 2.
8. 8.Find the value of 5x + 5 when x = 2.
9. 9.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
10. 10.Find the value of 8t + 1 when t = 8.
11. 11.Find the value of 5t − 3 when t = 6.
12. 12.Find the value of 8a + 8b when a = 4 and b = 2.
13. 13.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
14. 14.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
15. 15.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
16. 16.Zoya has n pencils. A friend has 6 times as many. Which expression shows how many pencils the friend has? (a) n − 6 (b) n ÷ 6 (c) 6n (d) n + 6
17. 17.Find the value of 6y + 7 when y = 9.
18. 18.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
19. 19.Ishaan has n kites. A friend has 3 fewer. Which expression shows how many kites the friend has? (a) 3n (b) n + 3 (c) n − 3 (d) n ÷ 3
20. 20.Farhan shares n balloons equally among 2 friends. Which expression shows how many balloons each friend gets? (a) n − 2 (b) 2n (c) n + 2 (d) n ÷ 2
21. 21.Find the value of 3a + 9b when a = 2 and b = 1.
22. 22.Find the value of 4a + 5b when a = 9 and b = 3.
23. 23.Find the value of 6t + 14 when t = 5.
24. 24.Kabir shares m bananas equally among 5 friends. Which expression shows how many bananas each friend gets? (a) m − 5 (b) 5m (c) m ÷ 5 (d) m + 5
25. 25.Solve: p ÷ 9 = 19. What is p?
26. 26.Find the value of 4n + 20 when n = 6.
27. 27.Meera shares k mangoes equally among 2 friends. Which expression shows how many mangoes each friend gets? (a) k + 2 (b) k ÷ 2 (c) 2k (d) k − 2
28. 28.Find the value of 2x + 13 when x = 8.
29. 29.Find the value of 7a + 2b when a = 1 and b = 8.
30. 30.Find the value of 9y − 22 when y = 6.
31. 31.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
33. 33.Ishaan has m balloons. A friend has 6 fewer. Which expression shows how many balloons the friend has? (a) m ÷ 6 (b) 6m (c) m − 6 (d) m + 6
34. 34.Solve: p + 8 = 18. What is p?
35. 35.Nisha shares m crayons equally among 3 friends. Which expression shows how many crayons each friend gets? (a) 3m (b) m + 3 (c) m − 3 (d) m ÷ 3
36. 36.Find the value of 8a + 5b when a = 5 and b = 6.
37. 37.Find the value of 4a + 7b when a = 6 and b = 1.
38. 38.Find the value of 4a + 3b when a = 7 and b = 4.
39. 39.Solve: 6y = 6. What is y?
40. 40.Find the value of 6a + 3b when a = 8 and b = 2.

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