Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 207 · 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 4a + 9b when a = 2 and b = 5.
2. 2.Find the value of 4a + 7b when a = 2 and b = 6.
3. 3.Find the value of 6t + 5 when t = 5.
4. 4.Vivaan has n crayons. A friend has 5 fewer. Which expression shows how many crayons the friend has? (a) n ÷ 5 (b) n − 5 (c) 5n (d) n + 5
5. 5.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
6. 6.Karan has k books. A friend has 2 times as many. Which expression shows how many books the friend has? (a) k ÷ 2 (b) 2k (c) k + 2 (d) k − 2
7. 7.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
8. 8.Find the value of 2m + 5 when m = 1.
9. 9.Find the value of 6t + 1 when t = 6.
10. 10.Find the value of 2x + 5 when x = 1.
11. 11.Joseph has n books. A friend has 3 fewer. Which expression shows how many books the friend has? (a) n + 3 (b) n − 3 (c) 3n (d) n ÷ 3
12. 12.Karan has m laddoos. A friend has 6 more. Which expression shows how many laddoos the friend has? (a) m + 6 (b) m ÷ 6 (c) m − 6 (d) 6m
13. 13.Find the value of 5y + 16 when y = 4.
14. 14.Find the value of 8a + 5b when a = 9 and b = 7.
15. 15.Find the value of 8p − 67 when p = 12.
16. 16.Find the value of 2a + 3b when a = 3 and b = 3.
17. 17.Aarav has k marbles. A friend has 4 more. Which expression shows how many marbles the friend has? (a) 4k (b) k − 4 (c) k + 4 (d) k ÷ 4
18. 18.Solve: n − 4 = 2. What is n?
19. 19.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
20. 20.Find the value of 6a + 7b when a = 4 and b = 7.
21. 21.Find the value of 8a + 6b when a = 8 and b = 1.
22. 22.Solve: y ÷ 8 = 2. What is y?
23. 23.Find the value of 5a + 6b when a = 5 and b = 4.
24. 24.Find the value of 7t − 15 when t = 3.
25. 25.Solve: x ÷ 3 = 5. What is x?
26. 26.Solve: t − 4 = 13. What is t?
27. 27.Farhan has n kites. A friend has 9 more. Which expression shows how many kites the friend has? (a) n − 9 (b) 9n (c) n ÷ 9 (d) n + 9
28. 28.Find the value of 4p − 6 when p = 2.
29. 29.Solve: 9t = 135. What is t?
30. 30.Ananya has k mangoes. A friend has 8 times as many. Which expression shows how many mangoes the friend has? (a) k ÷ 8 (b) k + 8 (c) 8k (d) k − 8
31. 31.Joseph has m balls. A friend has 2 more. Which expression shows how many balls the friend has? (a) m + 2 (b) m − 2 (c) m ÷ 2 (d) 2m
32. 32.Find the value of 7x − 10 when x = 2.
33. 33.Find the value of 4n + 8 when n = 12.
34. 34.Lakshmi has k balls. A friend has 4 more. Which expression shows how many balls the friend has? (a) k ÷ 4 (b) 4k (c) k − 4 (d) k + 4
35. 35.Find the value of 5a + 8b when a = 5 and b = 2.
36. 36.Find the value of 7x + 3 when x = 8.
37. 37.Riya has k bananas. A friend has 3 times as many. Which expression shows how many bananas the friend has? (a) k + 3 (b) 3k (c) k ÷ 3 (d) k − 3
38. 38.Find the value of 2y + 5 when y = 2.
39. 39.Find the value of 2a + 8b when a = 8 and b = 7.
40. 40.Find the value of 2p − 1 when p = 11.

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