Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 296 · 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.Tara has p balloons. A friend has 7 fewer. Which expression shows how many balloons the friend has? (a) p ÷ 7 (b) p − 7 (c) p + 7 (d) 7p
2. 2.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
3. 3.Kabir has m laddoos. A friend has 8 more. Which expression shows how many laddoos the friend has? (a) m − 8 (b) m ÷ 8 (c) 8m (d) m + 8
4. 4.Find the value of 5x − 15 when x = 6.
5. 5.Find the value of 5x + 8 when x = 2.
6. 6.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
7. 7.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
8. 8.Rohan has n flowers. A friend has 4 more. Which expression shows how many flowers the friend has? (a) n + 4 (b) n ÷ 4 (c) n − 4 (d) 4n
9. 9.Find the value of 2a + 3b when a = 3 and b = 10.
10. 10.Solve: x ÷ 3 = 15. What is x?
11. 11.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 14 letters?
12. 12.Solve: 6p = 90. What is p?
13. 13.Solve: p + 11 = 17. What is p?
14. 14.Solve: y ÷ 12 = 19. What is y?
15. 15.Rahul has p shells. A friend has 8 times as many. Which expression shows how many shells the friend has? (a) p + 8 (b) 8p (c) p − 8 (d) p ÷ 8
16. 16.Find the value of 5y + 10 when y = 10.
17. 17.Find the value of 2n + 1 when n = 2.
18. 18.Find the value of 8a + 3b when a = 8 and b = 1.
19. 19.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
20. 20.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
21. 21.Find the value of 4a + 7b when a = 5 and b = 8.
22. 22.Find the value of 6n + 1 when n = 8.
23. 23.Find the value of 7t + 19 when t = 12.
24. 24.Aarav has k laddoos. A friend has 3 times as many. Which expression shows how many laddoos the friend has? (a) k + 3 (b) k − 3 (c) 3k (d) k ÷ 3
25. 25.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
26. 26.Zoya shares n marbles equally among 3 friends. Which expression shows how many marbles each friend gets? (a) 3n (b) n ÷ 3 (c) n + 3 (d) n − 3
27. 27.Solve: n − 5 = 15. What is n?
28. 28.Ananya has p crayons. A friend has 7 more. Which expression shows how many crayons the friend has? (a) p − 7 (b) 7p (c) p + 7 (d) p ÷ 7
29. 29.Find the value of 3a + 7b when a = 5 and b = 1.
30. 30.Find the value of 9a + 5b when a = 2 and b = 7.
31. 31.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
32. 32.Find the value of 2a + 9b when a = 3 and b = 9.
33. 33.Solve: p ÷ 11 = 8. What is p?
34. 34.Find the value of 7a + 3b when a = 10 and b = 8.
35. 35.Find the value of 9a + 6b when a = 1 and b = 9.
36. 36.Find the value of 3a + 4b when a = 10 and b = 6.
37. 37.Find the value of 6y − 2 when y = 2.
38. 38.Ananya shares n bananas equally among 8 friends. Which expression shows how many bananas each friend gets? (a) n ÷ 8 (b) n + 8 (c) 8n (d) n − 8
39. 39.Find the value of 7a + 4b when a = 5 and b = 9.
40. 40.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?

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