Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 367 · 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.Solve: t − 8 = 18. What is t?
2. 2.Find the value of 6p − 33 when p = 11.
3. 3.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
4. 4.Find the value of 3a + 5b when a = 3 and b = 3.
5. 5.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
6. 6.Find the value of 4a + 7b when a = 7 and b = 8.
7. 7.Kabir shares k flowers equally among 9 friends. Which expression shows how many flowers each friend gets? (a) k − 9 (b) k ÷ 9 (c) 9k (d) k + 9
8. 8.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
9. 9.Find the value of 2n − 2 when n = 5.
10. 10.Find the value of 5y + 12 when y = 2.
11. 11.Find the value of 7a + 9b when a = 3 and b = 3.
12. 12.Find the value of 7m − 1 when m = 1.
13. 13.Find the value of 4n + 17 when n = 8.
14. 14.Meera shares p books equally among 8 friends. Which expression shows how many books each friend gets? (a) p ÷ 8 (b) 8p (c) p + 8 (d) p − 8
15. 15.Solve: y + 3 = 20. What is y?
16. 16.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
17. 17.Find the value of 8a + 3b when a = 7 and b = 7.
18. 18.Arjun has p mangoes. A friend has 2 more. Which expression shows how many mangoes the friend has? (a) p ÷ 2 (b) 2p (c) p + 2 (d) p − 2
19. 19.Find the value of 7m − 41 when m = 8.
20. 20.Find the value of 6n − 22 when n = 8.
21. 21.Find the value of 7a + 6b when a = 5 and b = 5.
22. 22.Find the value of 5a + 5b when a = 6 and b = 1.
23. 23.Find the value of 7n − 15 when n = 5.
24. 24.Find the value of 3p − 7 when p = 5.
25. 25.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
26. 26.Find the value of 5p + 14 when p = 5.
27. 27.Solve: p ÷ 8 = 16. What is p?
28. 28.Tara has p mangoes. A friend has 2 more. Which expression shows how many mangoes the friend has? (a) p − 2 (b) 2p (c) p + 2 (d) p ÷ 2
29. 29.Rohan shares n pencils equally among 8 friends. Which expression shows how many pencils each friend gets? (a) n ÷ 8 (b) n − 8 (c) n + 8 (d) 8n
30. 30.Meera has k flowers. A friend has 7 more. Which expression shows how many flowers the friend has? (a) k − 7 (b) k ÷ 7 (c) k + 7 (d) 7k
31. 31.Find the value of 6a + 7b when a = 4 and b = 3.
32. 32.Solve: 10t = 200. What is t?
33. 33.Find the value of 2t − 3 when t = 10.
34. 34.Find the value of 2a + 7b when a = 3 and b = 10.
35. 35.Ananya has n bananas. A friend has 4 fewer. Which expression shows how many bananas the friend has? (a) n − 4 (b) n ÷ 4 (c) 4n (d) n + 4
36. 36.Find the value of 8m − 1 when m = 3.
37. 37.Kabir has m crayons. A friend has 7 fewer. Which expression shows how many crayons the friend has? (a) m + 7 (b) 7m (c) m − 7 (d) m ÷ 7
38. 38.Diya has k crayons. A friend has 2 fewer. Which expression shows how many crayons the friend has? (a) 2k (b) k ÷ 2 (c) k − 2 (d) k + 2
39. 39.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
40. 40.Sneha shares n books equally among 6 friends. Which expression shows how many books each friend gets? (a) 6n (b) n + 6 (c) n − 6 (d) n ÷ 6

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