Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 24 · 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 9x − 1 when x = 2.
2. 2.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
3. 3.Find the value of 2y + 5 when y = 7.
4. 4.Find the value of 6a + 8b when a = 4 and b = 1.
5. 5.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
6. 6.Find the value of 7p − 13 when p = 8.
7. 7.Find the value of 2t − 9 when t = 10.
8. 8.Solve: m ÷ 4 = 19. What is m?
9. 9.Find the value of 9a + 9b when a = 4 and b = 4.
10. 10.Find the value of 4a + 9b when a = 6 and b = 10.
11. 11.Solve: x + 2 = 4. What is x?
12. 12.Lakshmi has k laddoos. A friend has 8 times as many. Which expression shows how many laddoos the friend has? (a) k ÷ 8 (b) 8k (c) k − 8 (d) k + 8
13. 13.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
14. 14.Solve: t + 4 = 9. What is t?
15. 15.Find the value of 5y + 11 when y = 10.
16. 16.Solve: x − 3 = 11. What is x?
17. 17.Solve: n + 10 = 23. What is n?
18. 18.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 24 letters?
19. 19.Karan has m pencils. A friend has 8 fewer. Which expression shows how many pencils the friend has? (a) 8m (b) m ÷ 8 (c) m − 8 (d) m + 8
20. 20.Find the value of 3n + 10 when n = 10.
21. 21.Find the value of 7a + 4b when a = 7 and b = 9.
22. 22.Farhan has k marbles. A friend has 8 times as many. Which expression shows how many marbles the friend has? (a) k + 8 (b) k − 8 (c) k ÷ 8 (d) 8k
23. 23.Isha has p pencils. A friend has 2 times as many. Which expression shows how many pencils the friend has? (a) 2p (b) p + 2 (c) p − 2 (d) p ÷ 2
24. 24.Saanvi has p books. A friend has 8 more. Which expression shows how many books the friend has? (a) p + 8 (b) 8p (c) p − 8 (d) p ÷ 8
25. 25.Arjun has m books. A friend has 9 fewer. Which expression shows how many books the friend has? (a) 9m (b) m + 9 (c) m ÷ 9 (d) m − 9
26. 26.Find the value of 3x − 1 when x = 2.
27. 27.Find the value of 3x + 9 when x = 3.
28. 28.Find the value of 4a + 3b when a = 6 and b = 1.
29. 29.Solve: t − 11 = 16. What is t?
30. 30.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
31. 31.Find the value of 4a + 6b when a = 7 and b = 1.
32. 32.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
33. 33.Find the value of 5n + 17 when n = 10.
34. 34.Find the value of 6m + 7 when m = 8.
35. 35.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
36. 36.Arjun has k laddoos. A friend has 3 more. Which expression shows how many laddoos the friend has? (a) k − 3 (b) 3k (c) k ÷ 3 (d) k + 3
37. 37.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
38. 38.Rahul has k flowers. A friend has 3 fewer. Which expression shows how many flowers the friend has? (a) k ÷ 3 (b) k + 3 (c) 3k (d) k − 3
39. 39.Find the value of 8m − 92 when m = 12.
40. 40.Find the value of 2a + 9b when a = 5 and b = 1.

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