Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 579 · 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 8x + 18 when x = 8.
2. 2.Find the value of 2a + 9b when a = 10 and b = 2.
3. 3.Lakshmi has p books. A friend has 3 more. Which expression shows how many books the friend has? (a) 3p (b) p − 3 (c) p + 3 (d) p ÷ 3
4. 4.Find the value of 3a + 9b when a = 6 and b = 8.
5. 5.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
6. 6.Gurpreet has m kites. A friend has 4 fewer. Which expression shows how many kites the friend has? (a) m − 4 (b) m ÷ 4 (c) 4m (d) m + 4
7. 7.Find the value of 8a + 5b when a = 5 and b = 3.
8. 8.Solve: t + 3 = 7. What is t?
9. 9.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
10. 10.Find the value of 5a + 2b when a = 5 and b = 9.
11. 11.Find the value of 7x + 8 when x = 11.
12. 12.Find the value of 2p + 13 when p = 2.
13. 13.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
14. 14.Aditya has n balls. A friend has 4 fewer. Which expression shows how many balls the friend has? (a) 4n (b) n + 4 (c) n ÷ 4 (d) n − 4
15. 15.Find the value of 3x + 5 when x = 5.
16. 16.Find the value of 4p − 8 when p = 4.
17. 17.Find the value of 4a + 2b when a = 2 and b = 1.
18. 18.Find the value of 3a + 7b when a = 7 and b = 8.
19. 19.Find the value of 4p + 11 when p = 10.
20. 20.Find the value of 2y + 13 when y = 3.
21. 21.Solve: t − 7 = 19. What is t?
22. 22.Aarav shares m laddoos equally among 7 friends. Which expression shows how many laddoos each friend gets? (a) 7m (b) m + 7 (c) m − 7 (d) m ÷ 7
23. 23.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
24. 24.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
25. 25.Find the value of 9x − 7 when x = 4.
26. 26.Find the value of 9a + 9b when a = 1 and b = 3.
27. 27.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 11 letters?
28. 28.Gurpreet 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
29. 29.Nisha has k bananas. A friend has 7 fewer. Which expression shows how many bananas the friend has? (a) 7k (b) k + 7 (c) k ÷ 7 (d) k − 7
30. 30.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
31. 31.Find the value of 5a + 8b when a = 3 and b = 10.
32. 32.Find the value of 4a + 2b when a = 2 and b = 7.
33. 33.Solve: n + 10 = 29. What is n?
34. 34.Find the value of 8p − 13 when p = 9.
35. 35.Solve: 2m = 20. What is m?
36. 36.Rohan shares k mangoes equally among 5 friends. Which expression shows how many mangoes each friend gets? (a) 5k (b) k ÷ 5 (c) k + 5 (d) k − 5
37. 37.Find the value of 4x − 1 when x = 7.
38. 38.Find the value of 9y + 7 when y = 6.
39. 39.Find the value of 2a + 3b when a = 3 and b = 5.
40. 40.Find the value of 2a + 6b when a = 6 and b = 8.

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