Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 165 · 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.Riya has m kites. A friend has 4 fewer. Which expression shows how many kites the friend has? (a) m − 4 (b) m ÷ 4 (c) 4m (d) m + 4
2. 2.Solve: 10t = 190. What is t?
3. 3.Find the value of 5t − 1 when t = 2.
4. 4.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
5. 5.Find the value of 9a + 8b when a = 9 and b = 2.
6. 6.Find the value of 7t − 2 when t = 1.
7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
8. 8.Find the value of 8a + 9b when a = 5 and b = 1.
9. 9.Find the value of 4a + 2b when a = 2 and b = 5.
10. 10.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
11. 11.Find the value of 4a + 2b when a = 6 and b = 4.
12. 12.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
13. 13.Find the value of 5a + 6b when a = 3 and b = 3.
14. 14.Solve: y − 4 = 15. What is y?
15. 15.Solve: y − 4 = 9. What is y?
16. 16.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
17. 17.Riya has k laddoos. A friend has 2 more. Which expression shows how many laddoos the friend has? (a) k ÷ 2 (b) 2k (c) k + 2 (d) k − 2
18. 18.Lakshmi shares n kites equally among 3 friends. Which expression shows how many kites each friend gets? (a) n − 3 (b) n + 3 (c) 3n (d) n ÷ 3
19. 19.Vivaan has m marbles. A friend has 7 times as many. Which expression shows how many marbles the friend has? (a) m − 7 (b) 7m (c) m ÷ 7 (d) m + 7
20. 20.Find the value of 2n + 8 when n = 8.
21. 21.Solve: m ÷ 7 = 6. What is m?
22. 22.Find the value of 8a + 5b when a = 4 and b = 3.
23. 23.Solve: t − 9 = 7. What is t?
24. 24.Rohan has p balloons. A friend has 8 more. Which expression shows how many balloons the friend has? (a) p − 8 (b) p ÷ 8 (c) 8p (d) p + 8
25. 25.Solve: y ÷ 9 = 9. What is y?
26. 26.Tara shares k pencils equally among 3 friends. Which expression shows how many pencils each friend gets? (a) k ÷ 3 (b) 3k (c) k − 3 (d) k + 3
27. 27.Find the value of 7n − 28 when n = 6.
28. 28.Find the value of 9n − 16 when n = 2.
29. 29.Find the value of 8x − 8 when x = 2.
30. 30.Solve: 11x = 44. What is x?
31. 31.Solve: y + 7 = 9. What is y?
32. 32.Rahul has m balls. A friend has 8 times as many. Which expression shows how many balls the friend has? (a) 8m (b) m + 8 (c) m ÷ 8 (d) m − 8
33. 33.Find the value of 8p − 45 when p = 8.
34. 34.Solve: x + 10 = 15. What is x?
35. 35.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
36. 36.Find the value of 4n + 8 when n = 10.
37. 37.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
38. 38.Find the value of 2n + 7 when n = 6.
39. 39.Find the value of 5a + 4b when a = 6 and b = 6.
40. 40.Find the value of 4t − 3 when t = 2.

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