Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 31 · 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.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
2. 2.Solve: 6t = 30. What is t?
3. 3.Aarav has k pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) k − 2 (b) 2k (c) k + 2 (d) k ÷ 2
4. 4.Rahul has k pencils. A friend has 2 fewer. Which expression shows how many pencils the friend has? (a) 2k (b) k ÷ 2 (c) k + 2 (d) k − 2
5. 5.Find the value of 6a + 3b when a = 2 and b = 7.
6. 6.Arjun has n mangoes. A friend has 5 times as many. Which expression shows how many mangoes the friend has? (a) n − 5 (b) n ÷ 5 (c) n + 5 (d) 5n
7. 7.Solve: y ÷ 4 = 9. What is y?
8. 8.Solve: x − 10 = 4. What is x?
9. 9.Find the value of 8t + 9 when t = 9.
10. 10.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
11. 11.Find the value of 4n + 2 when n = 5.
12. 12.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
13. 13.Find the value of 8t − 7 when t = 1.
14. 14.Find the value of 2a + 4b when a = 6 and b = 2.
15. 15.Tara shares p mangoes equally among 6 friends. Which expression shows how many mangoes each friend gets? (a) p − 6 (b) 6p (c) p ÷ 6 (d) p + 6
16. 16.Find the value of 3a + 6b when a = 2 and b = 8.
17. 17.Solve: t − 4 = 2. What is t?
18. 18.Solve: x − 8 = 15. What is x?
19. 19.Find the value of 9m − 3 when m = 2.
20. 20.Solve: m + 6 = 10. What is m?
21. 21.Find the value of 6m + 8 when m = 3.
22. 22.Find the value of 6x + 4 when x = 12.
23. 23.Ishaan shares p balloons equally among 2 friends. Which expression shows how many balloons each friend gets? (a) p ÷ 2 (b) 2p (c) p − 2 (d) p + 2
24. 24.Solve: m − 7 = 11. What is m?
25. 25.Arjun has m laddoos. A friend has 2 more. Which expression shows how many laddoos the friend has? (a) m + 2 (b) m − 2 (c) 2m (d) m ÷ 2
26. 26.Find the value of 6t + 20 when t = 4.
27. 27.Find the value of 4a + 2b when a = 8 and b = 1.
28. 28.Find the value of 4a + 4b when a = 2 and b = 3.
29. 29.Kabir shares k crayons equally among 3 friends. Which expression shows how many crayons each friend gets? (a) 3k (b) k + 3 (c) k ÷ 3 (d) k − 3
30. 30.Find the value of 6y − 57 when y = 11.
31. 31.Find the value of 7a + 4b when a = 5 and b = 3.
32. 32.Kabir shares n balls equally among 3 friends. Which expression shows how many balls each friend gets? (a) n ÷ 3 (b) n + 3 (c) n − 3 (d) 3n
33. 33.Find the value of 9n − 80 when n = 9.
34. 34.Find the value of 4p − 10 when p = 6.
35. 35.Find the value of 6a + 6b when a = 2 and b = 3.
36. 36.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
37. 37.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
38. 38.Joseph has k mangoes. A friend has 7 fewer. Which expression shows how many mangoes the friend has? (a) k ÷ 7 (b) k + 7 (c) 7k (d) k − 7
39. 39.Find the value of 3y + 17 when y = 1.
40. 40.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?

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