Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 16 · 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 15 letters?
2. 2.Karan has k crayons. A friend has 6 fewer. Which expression shows how many crayons the friend has? (a) 6k (b) k + 6 (c) k − 6 (d) k ÷ 6
3. 3.Find the value of 2m − 3 when m = 7.
4. 4.Find the value of 2a + 4b when a = 10 and b = 1.
5. 5.Lakshmi has n books. A friend has 9 more. Which expression shows how many books the friend has? (a) n + 9 (b) n ÷ 9 (c) 9n (d) n − 9
6. 6.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
7. 7.Find the value of 5p + 12 when p = 9.
8. 8.Vivaan has k balloons. A friend has 3 fewer. Which expression shows how many balloons the friend has? (a) 3k (b) k − 3 (c) k ÷ 3 (d) k + 3
9. 9.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
10. 10.Find the value of 3a + 8b when a = 3 and b = 10.
11. 11.Solve: x + 3 = 23. What is x?
12. 12.Find the value of 2t + 5 when t = 2.
13. 13.Find the value of 2n + 4 when n = 12.
14. 14.Solve: x ÷ 9 = 16. What is x?
15. 15.Solve: p ÷ 9 = 19. What is p?
16. 16.Manav has p books. A friend has 2 more. Which expression shows how many books the friend has? (a) p ÷ 2 (b) p − 2 (c) 2p (d) p + 2
17. 17.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
18. 18.Find the value of 2p − 2 when p = 6.
19. 19.Find the value of 6a + 4b when a = 8 and b = 5.
20. 20.Find the value of 2a + 3b when a = 7 and b = 6.
21. 21.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
22. 22.Find the value of 9m − 46 when m = 12.
23. 23.Diya has n balls. A friend has 4 more. Which expression shows how many balls the friend has? (a) n ÷ 4 (b) 4n (c) n + 4 (d) n − 4
24. 24.Find the value of 6a + 8b when a = 4 and b = 1.
25. 25.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
26. 26.Find the value of 3m + 12 when m = 2.
27. 27.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
28. 28.Riya has n kites. A friend has 8 more. Which expression shows how many kites the friend has? (a) n ÷ 8 (b) 8n (c) n + 8 (d) n − 8
29. 29.Find the value of 6a + 4b when a = 4 and b = 5.
30. 30.Solve: 10n = 50. What is n?
31. 31.Find the value of 3a + 2b when a = 2 and b = 3.
32. 32.Ishaan has n flowers. A friend has 8 times as many. Which expression shows how many flowers the friend has? (a) 8n (b) n + 8 (c) n ÷ 8 (d) n − 8
33. 33.Solve: n − 4 = 11. What is n?
34. 34.Find the value of 3p − 10 when p = 9.
35. 35.Find the value of 7n + 4 when n = 9.
36. 36.Solve: m + 4 = 12. What is m?
37. 37.Solve: 12n = 192. What is n?
38. 38.Solve: p − 3 = 7. What is p?
39. 39.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
40. 40.Solve: x + 2 = 21. What is x?

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