Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 41 · 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 7a + 2b when a = 2 and b = 1.
2. 2.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
3. 3.Find the value of 4a + 8b when a = 2 and b = 10.
4. 4.Find the value of 8t − 31 when t = 12.
5. 5.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
6. 6.Solve: y − 9 = 7. What is y?
7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
8. 8.Ananya has p laddoos. A friend has 8 more. Which expression shows how many laddoos the friend has? (a) 8p (b) p ÷ 8 (c) p + 8 (d) p − 8
9. 9.Find the value of 7a + 4b when a = 6 and b = 6.
10. 10.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
11. 11.Find the value of 5a + 2b when a = 4 and b = 6.
12. 12.Priya has m crayons. A friend has 7 more. Which expression shows how many crayons the friend has? (a) m − 7 (b) 7m (c) m ÷ 7 (d) m + 7
13. 13.Find the value of 9a + 6b when a = 2 and b = 5.
14. 14.Find the value of 2y − 9 when y = 8.
15. 15.Priya shares n books equally among 4 friends. Which expression shows how many books each friend gets? (a) 4n (b) n + 4 (c) n ÷ 4 (d) n − 4
16. 16.Find the value of 5p + 17 when p = 4.
17. 17.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
18. 18.Find the value of 8y − 43 when y = 8.
19. 19.Solve: 11y = 66. What is y?
20. 20.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 16 letters?
21. 21.Arjun shares p balls equally among 2 friends. Which expression shows how many balls each friend gets? (a) p ÷ 2 (b) p − 2 (c) 2p (d) p + 2
22. 22.Solve: x ÷ 10 = 10. What is x?
23. 23.Solve: y + 3 = 5. What is y?
24. 24.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
25. 25.Solve: m + 5 = 20. What is m?
26. 26.Lakshmi has n bananas. A friend has 9 more. Which expression shows how many bananas the friend has? (a) n − 9 (b) 9n (c) n + 9 (d) n ÷ 9
27. 27.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
29. 29.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
30. 30.Find the value of 7a + 5b when a = 10 and b = 3.
31. 31.Solve: m − 10 = 4. What is m?
32. 32.Solve: t ÷ 8 = 15. What is t?
33. 33.Find the value of 2a + 2b when a = 4 and b = 7.
34. 34.Find the value of 6n − 16 when n = 6.
35. 35.Find the value of 7y + 4 when y = 2.
36. 36.Find the value of 3y + 18 when y = 4.
37. 37.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
38. 38.Solve: y − 10 = 10. What is y?
39. 39.Tara has m pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) m ÷ 6 (b) m + 6 (c) m − 6 (d) 6m
40. 40.Solve: n + 9 = 21. What is n?

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