Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 556 · 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.Farhan has n pencils. A friend has 5 more. Which expression shows how many pencils the friend has? (a) n + 5 (b) n ÷ 5 (c) 5n (d) n − 5
2. 2.Find the value of 6a + 2b when a = 9 and b = 5.
3. 3.Farhan has n marbles. A friend has 6 more. Which expression shows how many marbles the friend has? (a) n − 6 (b) n ÷ 6 (c) n + 6 (d) 6n
4. 4.Find the value of 8x − 20 when x = 11.
5. 5.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
6. 6.Find the value of 6a + 7b when a = 8 and b = 2.
7. 7.Solve: 8t = 24. What is t?
8. 8.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
9. 9.Find the value of 7a + 4b when a = 2 and b = 3.
10. 10.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
11. 11.Find the value of 6a + 3b when a = 9 and b = 10.
12. 12.Solve: 6m = 30. What is m?
13. 13.Find the value of 7m + 3 when m = 2.
14. 14.Find the value of 8a + 8b when a = 4 and b = 9.
15. 15.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
16. 16.Riya has n crayons. A friend has 9 more. Which expression shows how many crayons the friend has? (a) n + 9 (b) n − 9 (c) n ÷ 9 (d) 9n
17. 17.Solve: m ÷ 9 = 20. What is m?
18. 18.Find the value of 7n + 16 when n = 12.
19. 19.Joseph shares k mangoes equally among 5 friends. Which expression shows how many mangoes each friend gets? (a) k − 5 (b) k ÷ 5 (c) 5k (d) k + 5
20. 20.Find the value of 9m + 1 when m = 6.
21. 21.Find the value of 7p − 31 when p = 8.
22. 22.Find the value of 2p + 11 when p = 6.
23. 23.Find the value of 2a + 4b when a = 4 and b = 5.
24. 24.Solve: 11x = 220. What is x?
25. 25.Find the value of 8n + 11 when n = 3.
26. 26.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
27. 27.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
28. 28.Find the value of 9m + 3 when m = 3.
29. 29.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
30. 30.Rohan has k books. A friend has 3 more. Which expression shows how many books the friend has? (a) 3k (b) k ÷ 3 (c) k − 3 (d) k + 3
31. 31.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 28 letters?
32. 32.Solve: 3t = 9. What is t?
33. 33.Solve: y + 3 = 21. What is y?
34. 34.Find the value of 3m − 2 when m = 1.
35. 35.Find the value of 7n + 7 when n = 11.
36. 36.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
37. 37.Find the value of 7a + 7b when a = 1 and b = 7.
38. 38.Find the value of 3x + 3 when x = 6.
39. 39.Arjun has m balloons. A friend has 6 fewer. Which expression shows how many balloons the friend has? (a) m + 6 (b) m − 6 (c) 6m (d) m ÷ 6
40. 40.Find the value of 3n + 2 when n = 1.

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets