Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 561 · 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 9a + 3b when a = 4 and b = 4.
2. 2.Find the value of 9x + 3 when x = 10.
3. 3.Diya has m laddoos. A friend has 8 fewer. Which expression shows how many laddoos the friend has? (a) m ÷ 8 (b) m − 8 (c) m + 8 (d) 8m
4. 4.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
5. 5.Find the value of 2a + 7b when a = 4 and b = 8.
6. 6.Find the value of 2x − 1 when x = 5.
7. 7.Find the value of 5n + 1 when n = 4.
8. 8.Solve: m + 9 = 19. What is m?
9. 9.Diya has p shells. A friend has 5 fewer. Which expression shows how many shells the friend has? (a) p + 5 (b) 5p (c) p ÷ 5 (d) p − 5
10. 10.Rohan has n books. A friend has 5 fewer. Which expression shows how many books the friend has? (a) n + 5 (b) n − 5 (c) 5n (d) n ÷ 5
11. 11.Find the value of 3t + 18 when t = 8.
12. 12.Find the value of 6a + 6b when a = 10 and b = 2.
13. 13.Joseph has n crayons. A friend has 7 fewer. Which expression shows how many crayons the friend has? (a) n ÷ 7 (b) n − 7 (c) 7n (d) n + 7
14. 14.Solve: x + 11 = 17. What is x?
15. 15.Arjun has n crayons. A friend has 7 more. Which expression shows how many crayons the friend has? (a) 7n (b) n + 7 (c) n − 7 (d) n ÷ 7
16. 16.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
17. 17.Find the value of 3x − 24 when x = 12.
18. 18.Find the value of 7a + 8b when a = 7 and b = 2.
19. 19.Diya shares n pencils equally among 6 friends. Which expression shows how many pencils each friend gets? (a) n ÷ 6 (b) n + 6 (c) 6n (d) n − 6
20. 20.Find the value of 5x + 19 when x = 12.
21. 21.Find the value of 7a + 8b when a = 7 and b = 7.
22. 22.Solve: t ÷ 3 = 7. What is t?
23. 23.Saanvi has n marbles. A friend has 6 fewer. Which expression shows how many marbles the friend has? (a) 6n (b) n − 6 (c) n + 6 (d) n ÷ 6
24. 24.Find the value of 2a + 9b when a = 3 and b = 6.
25. 25.Find the value of 2a + 5b when a = 5 and b = 5.
26. 26.Find the value of 8p − 4 when p = 1.
27. 27.Solve: m + 4 = 22. What is m?
28. 28.Solve: 4m = 76. What is m?
29. 29.Find the value of 3a + 3b when a = 10 and b = 9.
30. 30.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
31. 31.Find the value of 2t + 3 when t = 5.
32. 32.Solve: m ÷ 10 = 18. What is m?
33. 33.Find the value of 3n + 20 when n = 10.
34. 34.Lakshmi shares k pencils equally among 7 friends. Which expression shows how many pencils each friend gets? (a) k + 7 (b) 7k (c) k ÷ 7 (d) k − 7
35. 35.Find the value of 2x − 5 when x = 3.
36. 36.Saanvi has k pencils. A friend has 6 fewer. Which expression shows how many pencils the friend has? (a) k ÷ 6 (b) 6k (c) k + 6 (d) k − 6
37. 37.Find the value of 7a + 5b when a = 3 and b = 6.
38. 38.Dev shares k marbles equally among 2 friends. Which expression shows how many marbles each friend gets? (a) k − 2 (b) k + 2 (c) k ÷ 2 (d) 2k
39. 39.Find the value of 7a + 7b when a = 8 and b = 2.
40. 40.Solve: 11x = 66. What is x?

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