Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 464 · 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.Diya has p books. A friend has 8 more. Which expression shows how many books the friend has? (a) p ÷ 8 (b) p − 8 (c) p + 8 (d) 8p
2. 2.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
3. 3.Aditya has p marbles. A friend has 5 fewer. Which expression shows how many marbles the friend has? (a) 5p (b) p − 5 (c) p + 5 (d) p ÷ 5
4. 4.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
5. 5.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
6. 6.Find the value of 4y + 14 when y = 8.
7. 7.Find the value of 2a + 5b when a = 8 and b = 10.
8. 8.Find the value of 4x + 5 when x = 11.
9. 9.Find the value of 7x − 1 when x = 2.
10. 10.Solve: x − 4 = 17. What is x?
11. 11.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
12. 12.Find the value of 3a + 3b when a = 8 and b = 7.
13. 13.Sneha has p bananas. A friend has 3 times as many. Which expression shows how many bananas the friend has? (a) p ÷ 3 (b) p + 3 (c) 3p (d) p − 3
14. 14.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
15. 15.Find the value of 8n − 7 when n = 2.
16. 16.Solve: t − 8 = 11. What is t?
17. 17.Find the value of 8t + 9 when t = 8.
18. 18.Riya has k balloons. A friend has 9 fewer. Which expression shows how many balloons the friend has? (a) k + 9 (b) k ÷ 9 (c) 9k (d) k − 9
19. 19.Solve: 8m = 48. What is m?
20. 20.Find the value of 5m + 4 when m = 5.
21. 21.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 14 letters?
22. 22.Find the value of 3a + 8b when a = 1 and b = 9.
23. 23.Rahul has p kites. A friend has 5 more. Which expression shows how many kites the friend has? (a) p + 5 (b) 5p (c) p ÷ 5 (d) p − 5
24. 24.Priya shares m kites equally among 7 friends. Which expression shows how many kites each friend gets? (a) m − 7 (b) 7m (c) m ÷ 7 (d) m + 7
25. 25.Solve: 12t = 48. What is t?
26. 26.Find the value of 5t + 13 when t = 4.
27. 27.Solve: m ÷ 8 = 3. What is m?
28. 28.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
29. 29.Find the value of 5x − 1 when x = 8.
30. 30.Find the value of 8p + 12 when p = 6.
31. 31.Find the value of 3a + 5b when a = 2 and b = 4.
32. 32.Find the value of 5m − 16 when m = 5.
33. 33.Find the value of 3m + 6 when m = 8.
34. 34.Find the value of 8x + 6 when x = 2.
35. 35.Find the value of 2a + 4b when a = 10 and b = 8.
36. 36.Saanvi shares m shells equally among 9 friends. Which expression shows how many shells each friend gets? (a) m + 9 (b) m − 9 (c) 9m (d) m ÷ 9
37. 37.Sneha shares m pencils equally among 4 friends. Which expression shows how many pencils each friend gets? (a) m + 4 (b) m − 4 (c) 4m (d) m ÷ 4
38. 38.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
39. 39.Solve: y ÷ 9 = 17. What is y?
40. 40.Solve: m ÷ 4 = 18. What is m?

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