Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 199 · 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 9a + 8b when a = 5 and b = 2.
2. 2.Solve: t − 5 = 8. What is t?
3. 3.Find the value of 4x + 20 when x = 11.
4. 4.Solve: y + 6 = 9. What is y?
5. 5.Find the value of 2a + 5b when a = 9 and b = 2.
6. 6.Aditya has k books. A friend has 3 fewer. Which expression shows how many books the friend has? (a) k ÷ 3 (b) k − 3 (c) 3k (d) k + 3
7. 7.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
8. 8.Riya has p bananas. A friend has 2 more. Which expression shows how many bananas the friend has? (a) 2p (b) p + 2 (c) p − 2 (d) p ÷ 2
9. 9.Isha shares k kites equally among 6 friends. Which expression shows how many kites each friend gets? (a) k + 6 (b) k − 6 (c) k ÷ 6 (d) 6k
10. 10.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
11. 11.Find the value of 6a + 5b when a = 9 and b = 6.
12. 12.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
13. 13.Find the value of 6a + 6b when a = 3 and b = 2.
14. 14.Solve: 3n = 9. What is n?
15. 15.Arjun shares n marbles equally among 2 friends. Which expression shows how many marbles each friend gets? (a) n − 2 (b) 2n (c) n + 2 (d) n ÷ 2
16. 16.Find the value of 2p − 23 when p = 12.
17. 17.Zoya has m books. A friend has 4 times as many. Which expression shows how many books the friend has? (a) m + 4 (b) m − 4 (c) 4m (d) m ÷ 4
18. 18.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
19. 19.Solve: p ÷ 2 = 14. What is p?
20. 20.Find the value of 9x + 1 when x = 5.
21. 21.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
22. 22.Find the value of 3n + 14 when n = 4.
23. 23.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
24. 24.Kabir has k shells. A friend has 3 fewer. Which expression shows how many shells the friend has? (a) k − 3 (b) k + 3 (c) 3k (d) k ÷ 3
25. 25.Solve: n − 5 = 13. What is n?
26. 26.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
27. 27.Riya has p crayons. A friend has 9 more. Which expression shows how many crayons the friend has? (a) p ÷ 9 (b) 9p (c) p − 9 (d) p + 9
28. 28.Solve: n + 8 = 26. What is n?
29. 29.Rahul has n balls. A friend has 3 times as many. Which expression shows how many balls the friend has? (a) 3n (b) n ÷ 3 (c) n − 3 (d) n + 3
30. 30.Find the value of 8t + 1 when t = 3.
31. 31.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
32. 32.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 15 letters?
33. 33.Find the value of 9a + 2b when a = 6 and b = 2.
34. 34.Find the value of 6m + 4 when m = 9.
35. 35.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
36. 36.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
37. 37.Find the value of 6m − 18 when m = 5.
38. 38.Solve: y − 10 = 3. What is y?
39. 39.Find the value of 9m − 17 when m = 9.
40. 40.Find the value of 3t + 8 when t = 5.

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