Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 412 · 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 C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
2. 2.Solve: x − 4 = 14. What is x?
3. 3.Find the value of 3p − 2 when p = 8.
4. 4.Ananya has n laddoos. A friend has 4 fewer. Which expression shows how many laddoos the friend has? (a) 4n (b) n − 4 (c) n + 4 (d) n ÷ 4
5. 5.Solve: 12n = 48. What is n?
6. 6.Find the value of 8a + 9b when a = 6 and b = 1.
7. 7.Ishaan has n kites. A friend has 7 fewer. Which expression shows how many kites the friend has? (a) n − 7 (b) n ÷ 7 (c) 7n (d) n + 7
8. 8.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
9. 9.Find the value of 4m − 4 when m = 2.
10. 10.Solve: x + 9 = 23. What is x?
11. 11.Find the value of 7t + 2 when t = 12.
12. 12.Nisha has k bananas. A friend has 5 more. Which expression shows how many bananas the friend has? (a) 5k (b) k + 5 (c) k − 5 (d) k ÷ 5
13. 13.Pooja has p kites. A friend has 7 more. Which expression shows how many kites the friend has? (a) 7p (b) p + 7 (c) p ÷ 7 (d) p − 7
14. 14.Find the value of 8a + 3b when a = 9 and b = 3.
15. 15.Solve: y ÷ 5 = 19. What is y?
16. 16.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
17. 17.Find the value of 9p + 10 when p = 9.
18. 18.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
19. 19.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
20. 20.Solve: x ÷ 9 = 2. What is x?
21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
22. 22.Aarav has n shells. A friend has 4 more. Which expression shows how many shells the friend has? (a) 4n (b) n − 4 (c) n + 4 (d) n ÷ 4
23. 23.Ananya has n kites. A friend has 5 fewer. Which expression shows how many kites the friend has? (a) 5n (b) n + 5 (c) n − 5 (d) n ÷ 5
24. 24.Find the value of 9y + 6 when y = 5.
25. 25.Find the value of 7a + 2b when a = 4 and b = 2.
26. 26.Find the value of 6n − 2 when n = 6.
27. 27.Find the value of 5n − 8 when n = 9.
28. 28.Diya shares n marbles equally among 6 friends. Which expression shows how many marbles each friend gets? (a) n ÷ 6 (b) 6n (c) n + 6 (d) n − 6
29. 29.Solve: p ÷ 11 = 15. What is p?
30. 30.Farhan has p laddoos. A friend has 2 fewer. Which expression shows how many laddoos the friend has? (a) p + 2 (b) p − 2 (c) 2p (d) p ÷ 2
31. 31.Find the value of 7a + 9b when a = 5 and b = 3.
32. 32.Solve: 4y = 8. What is y?
33. 33.Solve: 3x = 3. What is x?
34. 34.Solve: 12n = 216. What is n?
35. 35.Saanvi has k pencils. A friend has 6 times as many. Which expression shows how many pencils the friend has? (a) 6k (b) k − 6 (c) k ÷ 6 (d) k + 6
36. 36.Find the value of 5n − 3 when n = 1.
37. 37.Find the value of 9y − 18 when y = 3.
38. 38.Solve: y + 12 = 20. What is y?
39. 39.Find the value of 7a + 9b when a = 7 and b = 7.
40. 40.Solve: t − 4 = 15. What is t?

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