Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 420 · 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 8a + 2b when a = 8 and b = 2.
2. 2.Solve: 3x = 27. What is x?
3. 3.Find the value of 2a + 9b when a = 5 and b = 3.
4. 4.Find the value of 6a + 5b when a = 3 and b = 10.
5. 5.Find the value of 4t − 6 when t = 3.
6. 6.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
7. 7.Find the value of 8a + 8b when a = 10 and b = 5.
8. 8.Find the value of 7n + 19 when n = 9.
9. 9.Solve: x ÷ 5 = 1. What is x?
10. 10.Find the value of 3m − 3 when m = 5.
11. 11.Find the value of 4y − 1 when y = 5.
12. 12.Solve: y + 12 = 18. What is y?
13. 13.Isha has m bananas. A friend has 5 times as many. Which expression shows how many bananas the friend has? (a) m − 5 (b) 5m (c) m ÷ 5 (d) m + 5
14. 14.Find the value of 8m + 4 when m = 8.
15. 15.Find the value of 6a + 6b when a = 10 and b = 5.
16. 16.Ananya has k bananas. A friend has 8 more. Which expression shows how many bananas the friend has? (a) k ÷ 8 (b) k + 8 (c) k − 8 (d) 8k
17. 17.Find the value of 3m + 4 when m = 11.
18. 18.Find the value of 3a + 8b when a = 4 and b = 1.
19. 19.Find the value of 2m + 2 when m = 8.
20. 20.Rohan shares m books equally among 2 friends. Which expression shows how many books each friend gets? (a) m − 2 (b) 2m (c) m + 2 (d) m ÷ 2
21. 21.Find the value of 3t + 8 when t = 2.
22. 22.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
23. 23.Solve: 7t = 7. What is t?
24. 24.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
25. 25.Joseph has n balloons. A friend has 6 more. Which expression shows how many balloons the friend has? (a) 6n (b) n + 6 (c) n − 6 (d) n ÷ 6
26. 26.Solve: t + 7 = 19. What is t?
27. 27.Find the value of 8a + 5b when a = 4 and b = 2.
28. 28.Solve: m − 6 = 6. What is m?
29. 29.Find the value of 8a + 7b when a = 3 and b = 2.
30. 30.Find the value of 3x − 17 when x = 10.
31. 31.Find the value of 2y − 6 when y = 8.
32. 32.Ananya has k balls. A friend has 7 fewer. Which expression shows how many balls the friend has? (a) k + 7 (b) k − 7 (c) 7k (d) k ÷ 7
33. 33.Saanvi has m balloons. A friend has 6 times as many. Which expression shows how many balloons the friend has? (a) m − 6 (b) 6m (c) m ÷ 6 (d) m + 6
34. 34.Rahul has n kites. A friend has 8 fewer. Which expression shows how many kites the friend has? (a) 8n (b) n + 8 (c) n ÷ 8 (d) n − 8
35. 35.Find the value of 8a + 9b when a = 10 and b = 2.
36. 36.Find the value of 3n − 1 when n = 12.
37. 37.Zoya has k shells. A friend has 8 times as many. Which expression shows how many shells the friend has? (a) k ÷ 8 (b) k − 8 (c) 8k (d) k + 8
38. 38.Find the value of 9a + 5b when a = 2 and b = 7.
39. 39.Riya has m pencils. A friend has 3 fewer. Which expression shows how many pencils the friend has? (a) m ÷ 3 (b) m + 3 (c) 3m (d) m − 3
40. 40.Aarav has k marbles. A friend has 8 times as many. Which expression shows how many marbles the friend has? (a) k + 8 (b) k − 8 (c) k ÷ 8 (d) 8k

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