Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 357 · 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 4x + 16 when x = 6.
2. 2.Solve: 6t = 24. What is t?
3. 3.Meera shares p balls equally among 3 friends. Which expression shows how many balls each friend gets? (a) 3p (b) p + 3 (c) p ÷ 3 (d) p − 3
4. 4.Priya has n marbles. A friend has 5 times as many. Which expression shows how many marbles the friend has? (a) n ÷ 5 (b) n − 5 (c) 5n (d) n + 5
5. 5.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
6. 6.Joseph has k pencils. A friend has 7 fewer. Which expression shows how many pencils the friend has? (a) k − 7 (b) k + 7 (c) 7k (d) k ÷ 7
7. 7.Find the value of 2m − 1 when m = 2.
8. 8.Manav has m crayons. A friend has 4 fewer. Which expression shows how many crayons the friend has? (a) m ÷ 4 (b) m − 4 (c) 4m (d) m + 4
9. 9.Find the value of 6t + 3 when t = 8.
10. 10.Find the value of 2t − 1 when t = 1.
11. 11.Find the value of 7a + 2b when a = 3 and b = 10.
12. 12.Find the value of 6a + 2b when a = 4 and b = 10.
13. 13.Ishaan has n bananas. A friend has 8 times as many. Which expression shows how many bananas the friend has? (a) n − 8 (b) n ÷ 8 (c) n + 8 (d) 8n
14. 14.Find the value of 4p + 16 when p = 8.
15. 15.Solve: n + 6 = 15. What is n?
16. 16.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
17. 17.Solve: m − 2 = 15. What is m?
18. 18.Find the value of 2a + 3b when a = 3 and b = 7.
19. 19.Solve: y ÷ 6 = 3. What is y?
20. 20.Find the value of 2n + 7 when n = 12.
21. 21.Solve: n ÷ 11 = 17. What is n?
22. 22.Find the value of 7t + 10 when t = 6.
23. 23.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
24. 24.Solve: m + 2 = 22. What is m?
25. 25.Solve: y + 10 = 28. What is y?
26. 26.Ananya has n shells. A friend has 2 fewer. Which expression shows how many shells the friend has? (a) n + 2 (b) n − 2 (c) n ÷ 2 (d) 2n
27. 27.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
28. 28.Solve: m − 2 = 4. What is m?
29. 29.Solve: 2p = 20. What is p?
30. 30.Rohan has k pencils. A friend has 8 more. Which expression shows how many pencils the friend has? (a) k + 8 (b) k − 8 (c) 8k (d) k ÷ 8
31. 31.Kabir has m balloons. A friend has 6 times as many. Which expression shows how many balloons the friend has? (a) m + 6 (b) m ÷ 6 (c) 6m (d) m − 6
32. 32.Find the value of 3a + 8b when a = 9 and b = 9.
33. 33.Solve: y + 2 = 12. What is y?
34. 34.Solve: 3n = 24. What is n?
35. 35.Find the value of 2a + 2b when a = 6 and b = 4.
36. 36.Find the value of 5a + 2b when a = 5 and b = 8.
37. 37.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
38. 38.Priya has m shells. A friend has 4 fewer. Which expression shows how many shells the friend has? (a) m − 4 (b) m ÷ 4 (c) 4m (d) m + 4
39. 39.Find the value of 2p + 5 when p = 4.
40. 40.Find the value of 4a + 7b when a = 9 and b = 2.

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