Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 461 · 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 2a + 7b when a = 8 and b = 10.
2. 2.Solve: 9p = 171. What is p?
3. 3.Find the value of 8a + 3b when a = 3 and b = 8.
4. 4.Find the value of 7x − 28 when x = 6.
5. 5.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
6. 6.Solve: 10y = 70. What is y?
7. 7.Joseph has n flowers. A friend has 2 more. Which expression shows how many flowers the friend has? (a) 2n (b) n + 2 (c) n − 2 (d) n ÷ 2
8. 8.Solve: n + 11 = 24. What is n?
9. 9.Find the value of 7n − 17 when n = 5.
10. 10.Find the value of 5n + 2 when n = 8.
11. 11.Solve: p + 11 = 12. What is p?
12. 12.Ishaan has m laddoos. A friend has 2 times as many. Which expression shows how many laddoos the friend has? (a) m ÷ 2 (b) m − 2 (c) 2m (d) m + 2
13. 13.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 18 letters?
14. 14.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
15. 15.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
16. 16.Find the value of 8x + 16 when x = 6.
17. 17.Find the value of 7y − 8 when y = 8.
18. 18.Solve: n − 6 = 18. What is n?
19. 19.Nisha shares m balloons equally among 6 friends. Which expression shows how many balloons each friend gets? (a) m − 6 (b) m ÷ 6 (c) 6m (d) m + 6
20. 20.Karan shares k kites equally among 7 friends. Which expression shows how many kites each friend gets? (a) k − 7 (b) k ÷ 7 (c) 7k (d) k + 7
21. 21.Find the value of 7a + 4b when a = 8 and b = 5.
22. 22.Nisha has n laddoos. A friend has 9 more. Which expression shows how many laddoos the friend has? (a) n − 9 (b) n + 9 (c) n ÷ 9 (d) 9n
23. 23.Aditya shares p books equally among 7 friends. Which expression shows how many books each friend gets? (a) p + 7 (b) p − 7 (c) 7p (d) p ÷ 7
24. 24.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
25. 25.Find the value of 4a + 4b when a = 8 and b = 7.
26. 26.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
27. 27.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
28. 28.Find the value of 5x + 1 when x = 5.
29. 29.Find the value of 2a + 4b when a = 9 and b = 6.
30. 30.Solve: p + 7 = 23. What is p?
31. 31.Find the value of 5x + 14 when x = 12.
32. 32.Find the value of 7m + 14 when m = 3.
33. 33.Find the value of 3a + 9b when a = 8 and b = 8.
34. 34.Find the value of 5x + 12 when x = 6.
35. 35.Find the value of 3y + 17 when y = 2.
36. 36.Find the value of 8a + 8b when a = 1 and b = 4.
37. 37.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
38. 38.Find the value of 2p − 3 when p = 11.
39. 39.Find the value of 2y − 13 when y = 7.
40. 40.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?

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