Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 324 · 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 6a + 2b when a = 6 and b = 8.
2. 2.Gurpreet shares k balloons equally among 8 friends. Which expression shows how many balloons each friend gets? (a) k + 8 (b) k − 8 (c) 8k (d) k ÷ 8
3. 3.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
4. 4.Find the value of 9a + 6b when a = 1 and b = 2.
5. 5.Find the value of 8p + 20 when p = 1.
6. 6.Find the value of 8m + 20 when m = 11.
7. 7.Saanvi has p pencils. A friend has 6 fewer. Which expression shows how many pencils the friend has? (a) p ÷ 6 (b) p − 6 (c) 6p (d) p + 6
8. 8.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
9. 9.Arjun has k mangoes. A friend has 4 fewer. Which expression shows how many mangoes the friend has? (a) 4k (b) k − 4 (c) k ÷ 4 (d) k + 4
10. 10.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
11. 11.Farhan has p books. A friend has 4 more. Which expression shows how many books the friend has? (a) 4p (b) p ÷ 4 (c) p − 4 (d) p + 4
12. 12.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
13. 13.Dev has p balls. A friend has 3 more. Which expression shows how many balls the friend has? (a) p − 3 (b) p ÷ 3 (c) 3p (d) p + 3
14. 14.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
15. 15.Zoya has p marbles. A friend has 4 times as many. Which expression shows how many marbles the friend has? (a) p + 4 (b) p ÷ 4 (c) p − 4 (d) 4p
16. 16.Find the value of 4p + 8 when p = 2.
17. 17.Find the value of 2n + 8 when n = 4.
18. 18.Find the value of 9m − 61 when m = 7.
19. 19.Solve: y + 12 = 16. What is y?
20. 20.Find the value of 2x + 13 when x = 1.
21. 21.Find the value of 3m − 8 when m = 4.
22. 22.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
23. 23.Find the value of 9n + 10 when n = 6.
24. 24.Solve: y + 9 = 12. What is y?
25. 25.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
26. 26.Find the value of 4n + 18 when n = 10.
27. 27.Find the value of 5a + 5b when a = 3 and b = 5.
28. 28.Find the value of 2a + 8b when a = 7 and b = 9.
29. 29.Solve: 10t = 10. What is t?
30. 30.Lakshmi has p bananas. A friend has 6 fewer. Which expression shows how many bananas the friend has? (a) p + 6 (b) p − 6 (c) 6p (d) p ÷ 6
31. 31.Find the value of 3t − 1 when t = 1.
32. 32.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
33. 33.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
34. 34.Find the value of 6x − 51 when x = 11.
35. 35.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
36. 36.Find the value of 8a + 2b when a = 1 and b = 2.
37. 37.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
38. 38.Find the value of 5a + 4b when a = 2 and b = 9.
39. 39.Solve: x + 10 = 23. What is x?
40. 40.Find the value of 5n + 19 when n = 7.

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