Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 626 · 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.Riya shares k kites equally among 5 friends. Which expression shows how many kites each friend gets? (a) k − 5 (b) 5k (c) k + 5 (d) k ÷ 5
2. 2.Find the value of 3a + 8b when a = 7 and b = 6.
3. 3.Solve: m ÷ 11 = 3. What is m?
4. 4.Find the value of 2a + 7b when a = 1 and b = 4.
5. 5.Find the value of 7a + 6b when a = 7 and b = 2.
6. 6.Solve: n ÷ 12 = 12. What is n?
7. 7.Kavya has n bananas. A friend has 6 more. Which expression shows how many bananas the friend has? (a) 6n (b) n ÷ 6 (c) n + 6 (d) n − 6
8. 8.Solve: x ÷ 11 = 9. What is x?
9. 9.Find the value of 4a + 7b when a = 2 and b = 10.
10. 10.Kavya has n books. A friend has 8 more. Which expression shows how many books the friend has? (a) n + 8 (b) n − 8 (c) 8n (d) n ÷ 8
11. 11.Find the value of 7x + 7 when x = 11.
12. 12.Find the value of 8t − 19 when t = 3.
13. 13.Find the value of 5a + 2b when a = 7 and b = 10.
14. 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
15. 15.Find the value of 9y + 14 when y = 2.
16. 16.Find the value of 5m − 19 when m = 7.
17. 17.Pooja has n bananas. A friend has 2 more. Which expression shows how many bananas the friend has? (a) n − 2 (b) n + 2 (c) n ÷ 2 (d) 2n
18. 18.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
19. 19.Find the value of 4t + 10 when t = 6.
20. 20.Joseph has p bananas. A friend has 5 times as many. Which expression shows how many bananas the friend has? (a) 5p (b) p − 5 (c) p ÷ 5 (d) p + 5
21. 21.Tara has k balls. A friend has 5 fewer. Which expression shows how many balls the friend has? (a) k − 5 (b) k ÷ 5 (c) k + 5 (d) 5k
22. 22.Find the value of 6n − 8 when n = 2.
23. 23.Solve: t − 5 = 4. What is t?
24. 24.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
25. 25.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
26. 26.Find the value of 2a + 8b when a = 9 and b = 4.
27. 27.Isha shares n pencils equally among 6 friends. Which expression shows how many pencils each friend gets? (a) n + 6 (b) 6n (c) n ÷ 6 (d) n − 6
28. 28.Find the value of 5a + 7b when a = 9 and b = 6.
29. 29.Zoya shares n marbles equally among 2 friends. Which expression shows how many marbles each friend gets? (a) n + 2 (b) n ÷ 2 (c) n − 2 (d) 2n
30. 30.Pooja has n laddoos. A friend has 4 more. Which expression shows how many laddoos the friend has? (a) n ÷ 4 (b) 4n (c) n + 4 (d) n − 4
31. 31.Solve: 7m = 91. What is m?
32. 32.Find the value of 6y − 16 when y = 11.
33. 33.Karan has n balloons. A friend has 2 times as many. Which expression shows how many balloons the friend has? (a) 2n (b) n − 2 (c) n + 2 (d) n ÷ 2
34. 34.Solve: n ÷ 3 = 7. What is n?
35. 35.Solve: x − 5 = 7. What is x?
36. 36.Find the value of 9a + 7b when a = 9 and b = 8.
37. 37.Solve: m + 8 = 12. What is m?
38. 38.Find the value of 7a + 7b when a = 9 and b = 6.
39. 39.Solve: m ÷ 10 = 10. What is m?
40. 40.Solve: t ÷ 8 = 3. What is t?

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