Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 557 · 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.Solve: x ÷ 6 = 18. What is x?
2. 2.Solve: n − 5 = 15. What is n?
3. 3.Find the value of 3y − 1 when y = 2.
4. 4.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
5. 5.Find the value of 5a + 8b when a = 5 and b = 3.
6. 6.Solve: t ÷ 7 = 3. What is t?
7. 7.Solve: y + 12 = 14. What is y?
8. 8.Find the value of 5x + 13 when x = 5.
9. 9.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
10. 10.Solve: 10y = 90. What is y?
11. 11.Solve: p + 4 = 13. What is p?
12. 12.Aditya has k pencils. A friend has 4 more. Which expression shows how many pencils the friend has? (a) 4k (b) k − 4 (c) k ÷ 4 (d) k + 4
13. 13.Solve: y ÷ 7 = 6. What is y?
14. 14.Find the value of 5t − 29 when t = 8.
15. 15.Kabir has m balls. A friend has 5 fewer. Which expression shows how many balls the friend has? (a) m + 5 (b) 5m (c) m ÷ 5 (d) m − 5
16. 16.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
17. 17.Find the value of 7a + 3b when a = 3 and b = 6.
18. 18.Arjun shares n pencils equally among 5 friends. Which expression shows how many pencils each friend gets? (a) 5n (b) n − 5 (c) n + 5 (d) n ÷ 5
19. 19.Find the value of 8n − 7 when n = 1.
20. 20.Find the value of 5a + 3b when a = 1 and b = 3.
21. 21.Aarav has n pencils. A friend has 8 times as many. Which expression shows how many pencils the friend has? (a) n − 8 (b) n + 8 (c) n ÷ 8 (d) 8n
22. 22.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
23. 23.Gurpreet has n laddoos. A friend has 8 more. Which expression shows how many laddoos the friend has? (a) 8n (b) n − 8 (c) n ÷ 8 (d) n + 8
24. 24.Find the value of 9n − 17 when n = 7.
25. 25.Find the value of 3n − 1 when n = 7.
26. 26.Solve: 10x = 80. What is x?
27. 27.Find the value of 2p − 14 when p = 8.
28. 28.Find the value of 2a + 5b when a = 10 and b = 3.
29. 29.Solve: x − 7 = 12. What is x?
30. 30.Ishaan has k marbles. A friend has 7 times as many. Which expression shows how many marbles the friend has? (a) k − 7 (b) k + 7 (c) k ÷ 7 (d) 7k
31. 31.Find the value of 4a + 3b when a = 3 and b = 10.
32. 32.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 16 letters?
33. 33.Find the value of 2a + 3b when a = 6 and b = 2.
34. 34.Find the value of 3y − 10 when y = 6.
35. 35.Solve: 6t = 114. What is t?
36. 36.Find the value of 9a + 3b when a = 10 and b = 6.
37. 37.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
38. 38.Rohan shares n laddoos equally among 8 friends. Which expression shows how many laddoos each friend gets? (a) n + 8 (b) 8n (c) n − 8 (d) n ÷ 8
39. 39.Rahul has n bananas. A friend has 4 times as many. Which expression shows how many bananas the friend has? (a) n − 4 (b) n + 4 (c) n ÷ 4 (d) 4n
40. 40.Ananya has p balloons. A friend has 4 fewer. Which expression shows how many balloons the friend has? (a) p − 4 (b) p ÷ 4 (c) 4p (d) p + 4

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