Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 284 · 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 + 8b when a = 1 and b = 7.
2. 2.Find the value of 9n + 11 when n = 5.
3. 3.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
4. 4.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
5. 5.Solve: p + 6 = 11. What is p?
6. 6.Arjun shares p balloons equally among 7 friends. Which expression shows how many balloons each friend gets? (a) p ÷ 7 (b) p + 7 (c) p − 7 (d) 7p
7. 7.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
8. 8.Tara has n laddoos. A friend has 8 times as many. Which expression shows how many laddoos the friend has? (a) n − 8 (b) 8n (c) n + 8 (d) n ÷ 8
9. 9.Find the value of 5a + 3b when a = 2 and b = 8.
10. 10.Solve: x − 7 = 4. What is x?
11. 11.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 15 letters?
12. 12.Find the value of 2t − 12 when t = 10.
13. 13.Find the value of 7y + 11 when y = 10.
14. 14.Find the value of 6p + 20 when p = 2.
15. 15.Karan has k pencils. A friend has 8 times as many. Which expression shows how many pencils the friend has? (a) k ÷ 8 (b) 8k (c) k − 8 (d) k + 8
16. 16.Solve: t − 9 = 19. What is t?
17. 17.Find the value of 4p + 1 when p = 2.
18. 18.Dev shares p bananas equally among 8 friends. Which expression shows how many bananas each friend gets? (a) p + 8 (b) p − 8 (c) 8p (d) p ÷ 8
19. 19.Saanvi has m bananas. A friend has 3 fewer. Which expression shows how many bananas the friend has? (a) 3m (b) m ÷ 3 (c) m − 3 (d) m + 3
20. 20.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
21. 21.Solve: m + 7 = 26. What is m?
22. 22.Priya has m marbles. A friend has 7 fewer. Which expression shows how many marbles the friend has? (a) m + 7 (b) m ÷ 7 (c) 7m (d) m − 7
23. 23.Find the value of 3n − 3 when n = 11.
24. 24.Solve: 8x = 16. What is x?
25. 25.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
26. 26.Solve: p + 9 = 20. What is p?
27. 27.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
28. 28.Meera shares m balloons equally among 3 friends. Which expression shows how many balloons each friend gets? (a) m ÷ 3 (b) m − 3 (c) 3m (d) m + 3
29. 29.Find the value of 5x + 9 when x = 7.
30. 30.Find the value of 4m + 17 when m = 4.
31. 31.Find the value of 4n − 7 when n = 2.
32. 32.Find the value of 4y + 8 when y = 1.
33. 33.Find the value of 8a + 7b when a = 8 and b = 4.
34. 34.Solve: 10m = 70. What is m?
35. 35.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
36. 36.Find the value of 3a + 3b when a = 7 and b = 2.
37. 37.Find the value of 9a + 2b when a = 1 and b = 8.
38. 38.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
39. 39.Solve: x ÷ 8 = 15. What is x?
40. 40.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?

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