Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 234 · 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 2m − 1 when m = 1.
2. 2.Solve: 6y = 6. What is y?
3. 3.Find the value of 6a + 9b when a = 8 and b = 8.
4. 4.Solve: y + 5 = 17. What is y?
5. 5.Find the value of 6a + 3b when a = 7 and b = 10.
6. 6.Find the value of 7a + 3b when a = 2 and b = 4.
7. 7.Solve: 4m = 48. What is m?
8. 8.Solve: 11y = 165. What is y?
9. 9.Dev shares m balls equally among 8 friends. Which expression shows how many balls each friend gets? (a) m ÷ 8 (b) m − 8 (c) 8m (d) m + 8
10. 10.Find the value of 7a + 6b when a = 3 and b = 6.
11. 11.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
12. 12.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
13. 13.Find the value of 7a + 9b when a = 4 and b = 7.
14. 14.Solve: 9y = 99. What is y?
15. 15.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
16. 16.Find the value of 9t + 18 when t = 3.
17. 17.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
18. 18.Find the value of 2a + 4b when a = 1 and b = 3.
19. 19.Find the value of 4p − 5 when p = 2.
20. 20.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 29 letters?
21. 21.Find the value of 3y + 13 when y = 4.
22. 22.Find the value of 9y − 53 when y = 8.
23. 23.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
24. 24.Lakshmi has m laddoos. A friend has 2 more. Which expression shows how many laddoos the friend has? (a) m + 2 (b) m ÷ 2 (c) m − 2 (d) 2m
25. 25.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
26. 26.Solve: x − 8 = 6. What is x?
27. 27.Find the value of 2n − 5 when n = 6.
28. 28.Find the value of 2a + 5b when a = 7 and b = 10.
29. 29.Gurpreet has k marbles. A friend has 9 more. Which expression shows how many marbles the friend has? (a) k + 9 (b) 9k (c) k ÷ 9 (d) k − 9
30. 30.Solve: m + 9 = 29. What is m?
31. 31.Karan shares k kites equally among 7 friends. Which expression shows how many kites each friend gets? (a) k + 7 (b) k − 7 (c) k ÷ 7 (d) 7k
32. 32.Solve: y − 7 = 2. What is y?
33. 33.Find the value of 5a + 3b when a = 4 and b = 7.
34. 34.Solve: n + 12 = 18. What is n?
35. 35.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
36. 36.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
37. 37.Find the value of 2m + 1 when m = 4.
38. 38.Find the value of 3n + 7 when n = 7.
39. 39.Find the value of 6a + 5b when a = 1 and b = 6.
40. 40.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?

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