Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 250 · 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 6p + 8 when p = 5.
2. 2.Ananya has n balloons. A friend has 4 times as many. Which expression shows how many balloons the friend has? (a) 4n (b) n + 4 (c) n ÷ 4 (d) n − 4
3. 3.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
4. 4.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
5. 5.Aarav shares m pencils equally among 6 friends. Which expression shows how many pencils each friend gets? (a) m + 6 (b) m ÷ 6 (c) m − 6 (d) 6m
6. 6.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
7. 7.Saanvi has k laddoos. A friend has 6 more. Which expression shows how many laddoos the friend has? (a) k + 6 (b) 6k (c) k ÷ 6 (d) k − 6
8. 8.Find the value of 4t + 6 when t = 4.
9. 9.Find the value of 4m − 2 when m = 6.
10. 10.Find the value of 6x + 4 when x = 4.
11. 11.Find the value of 4m + 11 when m = 9.
12. 12.Find the value of 5a + 6b when a = 5 and b = 7.
13. 13.Solve: t + 5 = 8. What is t?
14. 14.Find the value of 5a + 5b when a = 2 and b = 7.
15. 15.Find the value of 3a + 9b when a = 3 and b = 8.
16. 16.Find the value of 6a + 3b when a = 6 and b = 3.
17. 17.Find the value of 6p − 14 when p = 9.
18. 18.Arjun has k pencils. A friend has 6 fewer. Which expression shows how many pencils the friend has? (a) k ÷ 6 (b) k − 6 (c) 6k (d) k + 6
19. 19.Aarav shares k crayons equally among 2 friends. Which expression shows how many crayons each friend gets? (a) k − 2 (b) k + 2 (c) 2k (d) k ÷ 2
20. 20.Find the value of 8a + 7b when a = 4 and b = 8.
21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
22. 22.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
23. 23.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
24. 24.Find the value of 3x + 18 when x = 12.
25. 25.Find the value of 3a + 7b when a = 2 and b = 9.
26. 26.Find the value of 4n − 1 when n = 4.
27. 27.Aarav has m flowers. A friend has 2 fewer. Which expression shows how many flowers the friend has? (a) m + 2 (b) m − 2 (c) 2m (d) m ÷ 2
28. 28.Find the value of 4y − 6 when y = 2.
29. 29.Find the value of 4a + 7b when a = 7 and b = 1.
30. 30.Find the value of 6n + 2 when n = 5.
31. 31.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
32. 32.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
33. 33.Solve: n ÷ 8 = 6. What is n?
34. 34.Find the value of 5a + 4b when a = 6 and b = 1.
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.Solve: m + 2 = 17. What is m?
37. 37.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
38. 38.Find the value of 8x − 85 when x = 11.
39. 39.Find the value of 4a + 9b when a = 2 and b = 1.
40. 40.Find the value of 4x + 4 when x = 8.

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