Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 341 · 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 H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
2. 2.Dev has n books. A friend has 7 fewer. Which expression shows how many books the friend has? (a) n − 7 (b) n + 7 (c) 7n (d) n ÷ 7
3. 3.Diya has m kites. A friend has 6 times as many. Which expression shows how many kites the friend has? (a) m − 6 (b) m ÷ 6 (c) m + 6 (d) 6m
4. 4.Farhan has k balls. A friend has 9 fewer. Which expression shows how many balls the friend has? (a) 9k (b) k − 9 (c) k + 9 (d) k ÷ 9
5. 5.Solve: y − 5 = 13. What is y?
6. 6.Find the value of 8a + 6b when a = 6 and b = 6.
7. 7.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 10 letters?
8. 8.Find the value of 2y − 12 when y = 11.
9. 9.Solve: 10x = 60. What is x?
10. 10.Solve: 7t = 35. What is t?
11. 11.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
12. 12.Find the value of 2a + 7b when a = 9 and b = 2.
13. 13.Find the value of 8p − 10 when p = 2.
14. 14.Find the value of 9a + 7b when a = 2 and b = 3.
15. 15.Find the value of 2t − 7 when t = 11.
16. 16.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 21 letters?
17. 17.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
18. 18.Solve: 2x = 38. What is x?
19. 19.Find the value of 8p + 4 when p = 10.
20. 20.Solve: t − 2 = 20. What is t?
21. 21.Find the value of 5a + 2b when a = 4 and b = 1.
22. 22.Riya has m balloons. A friend has 6 times as many. Which expression shows how many balloons the friend has? (a) 6m (b) m ÷ 6 (c) m + 6 (d) m − 6
23. 23.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
24. 24.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
25. 25.Find the value of 4a + 9b when a = 7 and b = 8.
26. 26.Tara has m kites. A friend has 9 times as many. Which expression shows how many kites the friend has? (a) m + 9 (b) m ÷ 9 (c) 9m (d) m − 9
27. 27.Tara has k pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) 2k (b) k − 2 (c) k + 2 (d) k ÷ 2
28. 28.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
29. 29.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
30. 30.Solve: 5y = 75. What is y?
31. 31.Find the value of 3a + 6b when a = 3 and b = 3.
32. 32.Find the value of 6n + 15 when n = 7.
33. 33.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
34. 34.Find the value of 8p + 9 when p = 8.
35. 35.Find the value of 7y − 2 when y = 2.
36. 36.Vivaan has k bananas. A friend has 5 fewer. Which expression shows how many bananas the friend has? (a) 5k (b) k − 5 (c) k ÷ 5 (d) k + 5
37. 37.Find the value of 8a + 5b when a = 4 and b = 4.
38. 38.Solve: n ÷ 8 = 10. What is n?
39. 39.Find the value of 5a + 5b when a = 7 and b = 9.
40. 40.Find the value of 7a + 4b when a = 2 and b = 1.

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