Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 474 · 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 + 6b when a = 9 and b = 6.
2. 2.Find the value of 6m − 1 when m = 1.
3. 3.Find the value of 8a + 7b when a = 6 and b = 8.
4. 4.Find the value of 5x − 9 when x = 3.
5. 5.Solve: y − 9 = 13. What is y?
6. 6.Vivaan has n shells. A friend has 2 more. Which expression shows how many shells the friend has? (a) n − 2 (b) n ÷ 2 (c) n + 2 (d) 2n
7. 7.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
8. 8.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 21 letters?
9. 9.Find the value of 7p − 15 when p = 4.
10. 10.Find the value of 8m + 2 when m = 7.
11. 11.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
12. 12.Find the value of 9p + 11 when p = 12.
13. 13.Solve: t + 6 = 18. What is t?
14. 14.Find the value of 4m − 1 when m = 6.
15. 15.Solve: n − 6 = 4. What is n?
16. 16.Solve: p − 9 = 12. What is p?
17. 17.Find the value of 7p + 2 when p = 9.
18. 18.Rohan shares p laddoos equally among 9 friends. Which expression shows how many laddoos each friend gets? (a) 9p (b) p + 9 (c) p ÷ 9 (d) p − 9
19. 19.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
20. 20.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
21. 21.Find the value of 3a + 2b when a = 8 and b = 1.
22. 22.Zoya shares k balloons equally among 4 friends. Which expression shows how many balloons each friend gets? (a) k ÷ 4 (b) k − 4 (c) 4k (d) k + 4
23. 23.Ishaan has n kites. A friend has 3 more. Which expression shows how many kites the friend has? (a) n − 3 (b) n ÷ 3 (c) 3n (d) n + 3
24. 24.Find the value of 4a + 2b when a = 1 and b = 1.
25. 25.Solve: n + 5 = 8. What is n?
26. 26.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
27. 27.Rohan has k books. A friend has 7 more. Which expression shows how many books the friend has? (a) k ÷ 7 (b) 7k (c) k − 7 (d) k + 7
28. 28.Ishaan has m mangoes. A friend has 3 fewer. Which expression shows how many mangoes the friend has? (a) m − 3 (b) m ÷ 3 (c) m + 3 (d) 3m
29. 29.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
30. 30.Solve: x + 10 = 11. What is x?
31. 31.Find the value of 4x + 15 when x = 1.
32. 32.Find the value of 9a + 2b when a = 10 and b = 8.
33. 33.Find the value of 6a + 4b when a = 3 and b = 1.
34. 34.Find the value of 2m + 10 when m = 4.
35. 35.Find the value of 7n + 15 when n = 10.
36. 36.Find the value of 4a + 4b when a = 10 and b = 4.
37. 37.Find the value of 4x − 10 when x = 3.
38. 38.Find the value of 6m − 18 when m = 12.
39. 39.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
40. 40.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?

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