Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 563 · 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 6t + 11 when t = 5.
2. 2.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
3. 3.Find the value of 3a + 5b when a = 10 and b = 4.
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.Solve: x − 8 = 19. What is x?
6. 6.Find the value of 8t − 4 when t = 5.
7. 7.Isha shares m balloons equally among 8 friends. Which expression shows how many balloons each friend gets? (a) 8m (b) m − 8 (c) m + 8 (d) m ÷ 8
8. 8.Diya has m crayons. A friend has 9 more. Which expression shows how many crayons the friend has? (a) 9m (b) m ÷ 9 (c) m + 9 (d) m − 9
9. 9.Dev shares m laddoos equally among 9 friends. Which expression shows how many laddoos each friend gets? (a) m − 9 (b) m ÷ 9 (c) 9m (d) m + 9
10. 10.Rohan shares m books equally among 2 friends. Which expression shows how many books each friend gets? (a) m + 2 (b) m − 2 (c) m ÷ 2 (d) 2m
11. 11.Find the value of 8a + 2b when a = 4 and b = 3.
12. 12.Find the value of 9t + 18 when t = 8.
13. 13.Zoya has n marbles. A friend has 4 times as many. Which expression shows how many marbles the friend has? (a) 4n (b) n + 4 (c) n − 4 (d) n ÷ 4
14. 14.Find the value of 8a + 2b when a = 1 and b = 6.
15. 15.Find the value of 4a + 2b when a = 1 and b = 4.
16. 16.Solve: t − 10 = 10. What is t?
17. 17.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 18 letters?
18. 18.Riya shares p laddoos equally among 2 friends. Which expression shows how many laddoos each friend gets? (a) p ÷ 2 (b) p + 2 (c) 2p (d) p − 2
19. 19.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
20. 20.Solve: x + 10 = 16. What is x?
21. 21.Find the value of 8m − 39 when m = 11.
22. 22.Isha shares k balloons equally among 6 friends. Which expression shows how many balloons each friend gets? (a) 6k (b) k + 6 (c) k − 6 (d) k ÷ 6
23. 23.Find the value of 2n + 8 when n = 2.
24. 24.Solve: t ÷ 5 = 7. What is t?
25. 25.Find the value of 6y + 5 when y = 2.
26. 26.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
27. 27.Priya has m mangoes. A friend has 2 times as many. Which expression shows how many mangoes the friend has? (a) m + 2 (b) 2m (c) m ÷ 2 (d) m − 2
28. 28.Find the value of 5a + 6b when a = 7 and b = 1.
29. 29.Solve: 9p = 117. What is p?
30. 30.Find the value of 6x − 8 when x = 7.
31. 31.Solve: 10m = 60. What is m?
32. 32.Kavya shares n shells equally among 6 friends. Which expression shows how many shells each friend gets? (a) 6n (b) n + 6 (c) n ÷ 6 (d) n − 6
33. 33.Gurpreet has m mangoes. A friend has 3 times as many. Which expression shows how many mangoes the friend has? (a) m ÷ 3 (b) m − 3 (c) 3m (d) m + 3
34. 34.Kavya shares n pencils equally among 7 friends. Which expression shows how many pencils each friend gets? (a) n − 7 (b) n ÷ 7 (c) 7n (d) n + 7
35. 35.Find the value of 9m − 18 when m = 9.
36. 36.Aarav shares n shells equally among 7 friends. Which expression shows how many shells each friend gets? (a) n + 7 (b) n − 7 (c) 7n (d) n ÷ 7
37. 37.Dev has p bananas. A friend has 8 times as many. Which expression shows how many bananas the friend has? (a) 8p (b) p − 8 (c) p + 8 (d) p ÷ 8
38. 38.Find the value of 2a + 6b when a = 4 and b = 7.
39. 39.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
40. 40.Solve: x + 9 = 23. What is x?

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