Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 223 · 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 5p + 11 when p = 1.
2. 2.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
3. 3.Find the value of 2m − 1 when m = 1.
4. 4.Find the value of 2a + 6b when a = 2 and b = 8.
5. 5.Find the value of 3a + 3b when a = 8 and b = 9.
6. 6.Tara has m laddoos. A friend has 8 more. Which expression shows how many laddoos the friend has? (a) m ÷ 8 (b) m − 8 (c) 8m (d) m + 8
7. 7.Find the value of 2a + 7b when a = 5 and b = 3.
8. 8.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
9. 9.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 22 letters?
10. 10.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
11. 11.Find the value of 7a + 6b when a = 8 and b = 2.
12. 12.Solve: n + 6 = 11. What is n?
13. 13.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
14. 14.Find the value of 2n − 9 when n = 7.
15. 15.Find the value of 2y + 6 when y = 1.
16. 16.Find the value of 4a + 6b when a = 6 and b = 10.
17. 17.Solve: x + 11 = 31. What is x?
18. 18.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
19. 19.Solve: t ÷ 11 = 13. What is t?
20. 20.Solve: 3p = 36. What is p?
21. 21.Rahul has k crayons. A friend has 9 more. Which expression shows how many crayons the friend has? (a) 9k (b) k − 9 (c) k ÷ 9 (d) k + 9
22. 22.Find the value of 4n + 12 when n = 7.
23. 23.Solve: y + 4 = 23. What is y?
24. 24.Find the value of 4m + 19 when m = 1.
25. 25.Pooja has k bananas. A friend has 2 fewer. Which expression shows how many bananas the friend has? (a) k ÷ 2 (b) k + 2 (c) 2k (d) k − 2
26. 26.Priya has p pencils. A friend has 5 more. Which expression shows how many pencils the friend has? (a) 5p (b) p − 5 (c) p ÷ 5 (d) p + 5
27. 27.Find the value of 3a + 5b when a = 3 and b = 6.
28. 28.Find the value of 3p + 1 when p = 4.
29. 29.Find the value of 3a + 2b when a = 9 and b = 3.
30. 30.Find the value of 7x + 14 when x = 12.
31. 31.Find the value of 4x + 18 when x = 1.
32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
33. 33.Find the value of 6a + 3b when a = 2 and b = 1.
34. 34.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
35. 35.Solve: m − 2 = 3. What is m?
36. 36.Zoya shares p pencils equally among 3 friends. Which expression shows how many pencils each friend gets? (a) p + 3 (b) p ÷ 3 (c) 3p (d) p − 3
37. 37.Find the value of 2a + 6b when a = 6 and b = 3.
38. 38.Find the value of 4a + 9b when a = 2 and b = 4.
39. 39.Find the value of 5a + 8b when a = 1 and b = 1.
40. 40.Solve: y − 3 = 8. What is y?

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