Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 19 · 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 6 letters?
2. 2.Find the value of 2a + 3b when a = 3 and b = 1.
3. 3.Solve: t ÷ 2 = 14. What is t?
4. 4.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
5. 5.Find the value of 3x + 10 when x = 4.
6. 6.Nisha shares k kites equally among 2 friends. Which expression shows how many kites each friend gets? (a) 2k (b) k + 2 (c) k ÷ 2 (d) k − 2
7. 7.Find the value of 2a + 4b when a = 1 and b = 2.
8. 8.Solve: 3p = 27. What is p?
9. 9.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
10. 10.Find the value of 5a + 2b when a = 7 and b = 9.
11. 11.Solve: 2t = 14. What is t?
12. 12.Zoya has m bananas. A friend has 9 more. Which expression shows how many bananas the friend has? (a) m ÷ 9 (b) m + 9 (c) m − 9 (d) 9m
13. 13.Find the value of 6t + 14 when t = 6.
14. 14.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
15. 15.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
16. 16.Find the value of 2p + 16 when p = 8.
17. 17.Ananya has k mangoes. A friend has 6 fewer. Which expression shows how many mangoes the friend has? (a) k + 6 (b) 6k (c) k − 6 (d) k ÷ 6
18. 18.Vivaan has n crayons. A friend has 6 times as many. Which expression shows how many crayons the friend has? (a) n − 6 (b) n + 6 (c) 6n (d) n ÷ 6
19. 19.Joseph has k balls. A friend has 8 fewer. Which expression shows how many balls the friend has? (a) 8k (b) k ÷ 8 (c) k + 8 (d) k − 8
20. 20.Find the value of 9a + 2b when a = 9 and b = 1.
21. 21.Find the value of 5a + 2b when a = 3 and b = 5.
22. 22.Solve: 5m = 55. What is m?
23. 23.Solve: n + 5 = 22. What is n?
24. 24.Vivaan has n marbles. A friend has 8 fewer. Which expression shows how many marbles the friend has? (a) n ÷ 8 (b) n + 8 (c) n − 8 (d) 8n
25. 25.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
26. 26.Solve: 10n = 110. What is n?
27. 27.Find the value of 9a + 2b when a = 1 and b = 1.
28. 28.Solve: t ÷ 5 = 10. What is t?
29. 29.Find the value of 4a + 2b when a = 9 and b = 2.
30. 30.Find the value of 8x − 14 when x = 7.
31. 31.Find the value of 4a + 4b when a = 5 and b = 10.
32. 32.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
33. 33.Find the value of 7m − 1 when m = 1.
34. 34.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
35. 35.Find the value of 9p − 12 when p = 2.
36. 36.Karan has m balloons. A friend has 9 times as many. Which expression shows how many balloons the friend has? (a) m + 9 (b) m ÷ 9 (c) 9m (d) m − 9
37. 37.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
38. 38.Find the value of 3y + 20 when y = 2.
39. 39.Find the value of 5a + 6b when a = 8 and b = 5.
40. 40.Find the value of 7a + 5b when a = 3 and b = 7.

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