Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 206 · 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 4a + 4b when a = 9 and b = 10.
2. 2.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
3. 3.Find the value of 6y − 1 when y = 1.
4. 4.Find the value of 3a + 7b when a = 6 and b = 4.
5. 5.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
6. 6.Solve: t ÷ 9 = 8. What is t?
7. 7.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
8. 8.Sneha shares n marbles equally among 8 friends. Which expression shows how many marbles each friend gets? (a) n + 8 (b) 8n (c) n − 8 (d) n ÷ 8
9. 9.Find the value of 4n + 2 when n = 12.
10. 10.Find the value of 6y + 15 when y = 10.
11. 11.Rahul has n kites. A friend has 8 times as many. Which expression shows how many kites the friend has? (a) 8n (b) n + 8 (c) n ÷ 8 (d) n − 8
12. 12.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
13. 13.Solve: x − 12 = 20. What is x?
14. 14.Find the value of 4t − 15 when t = 5.
15. 15.Find the value of 4p + 6 when p = 5.
16. 16.Solve: m ÷ 2 = 10. What is m?
17. 17.Find the value of 2a + 9b when a = 2 and b = 7.
18. 18.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
19. 19.Find the value of 2a + 7b when a = 4 and b = 1.
20. 20.Karan has n marbles. A friend has 2 fewer. Which expression shows how many marbles the friend has? (a) 2n (b) n + 2 (c) n ÷ 2 (d) n − 2
21. 21.Find the value of 6x − 50 when x = 10.
22. 22.Ishaan has k pencils. A friend has 9 more. Which expression shows how many pencils the friend has? (a) 9k (b) k − 9 (c) k ÷ 9 (d) k + 9
23. 23.Find the value of 6y − 40 when y = 11.
24. 24.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
25. 25.Solve: m + 6 = 23. What is m?
26. 26.Solve: t − 9 = 2. What is t?
27. 27.Solve: m + 7 = 21. What is m?
28. 28.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
29. 29.Find the value of 4x − 2 when x = 1.
30. 30.Solve: x + 7 = 19. What is x?
31. 31.Find the value of 8a + 7b when a = 6 and b = 3.
32. 32.Find the value of 8m + 2 when m = 12.
33. 33.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 18 letters?
34. 34.Aarav shares m balloons equally among 3 friends. Which expression shows how many balloons each friend gets? (a) m − 3 (b) m + 3 (c) m ÷ 3 (d) 3m
35. 35.Arjun has m laddoos. A friend has 8 more. Which expression shows how many laddoos the friend has? (a) m + 8 (b) m ÷ 8 (c) 8m (d) m − 8
36. 36.Solve: y ÷ 5 = 15. What is y?
37. 37.Find the value of 6p − 28 when p = 11.
38. 38.Find the value of 7a + 2b when a = 4 and b = 9.
39. 39.Find the value of 2a + 2b when a = 6 and b = 6.
40. 40.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?

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