Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 305 · 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 3a + 3b when a = 1 and b = 8.
2. 2.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
3. 3.Find the value of 8m + 20 when m = 10.
4. 4.Solve: y ÷ 12 = 5. What is y?
5. 5.Solve: x + 4 = 21. What is x?
6. 6.Pooja has p balls. A friend has 4 times as many. Which expression shows how many balls the friend has? (a) p − 4 (b) p ÷ 4 (c) 4p (d) p + 4
7. 7.Rahul shares p pencils equally among 2 friends. Which expression shows how many pencils each friend gets? (a) 2p (b) p − 2 (c) p ÷ 2 (d) p + 2
8. 8.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
9. 9.Solve: 4p = 36. What is p?
10. 10.Solve: 10n = 30. What is n?
11. 11.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
12. 12.Find the value of 8a + 8b when a = 6 and b = 9.
13. 13.Nisha has p marbles. A friend has 2 fewer. Which expression shows how many marbles the friend has? (a) p − 2 (b) 2p (c) p + 2 (d) p ÷ 2
14. 14.Solve: 5m = 85. What is m?
15. 15.Find the value of 2n + 8 when n = 9.
16. 16.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 15 letters?
17. 17.Saanvi has k laddoos. A friend has 3 fewer. Which expression shows how many laddoos the friend has? (a) k ÷ 3 (b) 3k (c) k − 3 (d) k + 3
18. 18.Find the value of 7p + 17 when p = 11.
19. 19.Find the value of 6x + 10 when x = 10.
20. 20.Rahul has m books. A friend has 9 more. Which expression shows how many books the friend has? (a) m − 9 (b) m ÷ 9 (c) 9m (d) m + 9
21. 21.Farhan has p mangoes. A friend has 2 fewer. Which expression shows how many mangoes the friend has? (a) p ÷ 2 (b) p + 2 (c) 2p (d) p − 2
22. 22.Manav has p pencils. A friend has 3 fewer. Which expression shows how many pencils the friend has? (a) p + 3 (b) 3p (c) p ÷ 3 (d) p − 3
23. 23.Find the value of 2x − 1 when x = 1.
24. 24.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
25. 25.Find the value of 5t + 8 when t = 4.
26. 26.Find the value of 9t + 12 when t = 11.
27. 27.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
28. 28.Dev shares n pencils equally among 2 friends. Which expression shows how many pencils each friend gets? (a) n − 2 (b) n + 2 (c) 2n (d) n ÷ 2
29. 29.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
30. 30.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
31. 31.Find the value of 6a + 4b when a = 7 and b = 2.
32. 32.Solve: n + 6 = 17. What is n?
33. 33.Find the value of 6a + 2b when a = 2 and b = 1.
34. 34.Arjun has n kites. A friend has 4 more. Which expression shows how many kites the friend has? (a) n ÷ 4 (b) n − 4 (c) 4n (d) n + 4
35. 35.Find the value of 8y − 4 when y = 7.
36. 36.Rahul has m shells. A friend has 9 fewer. Which expression shows how many shells the friend has? (a) m ÷ 9 (b) 9m (c) m + 9 (d) m − 9
37. 37.Find the value of 3n − 4 when n = 8.
38. 38.Find the value of 7m − 50 when m = 8.
39. 39.Find the value of 6t + 3 when t = 8.
40. 40.Find the value of 5a + 2b when a = 10 and b = 3.

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