Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 363 · 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.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
2. 2.Vivaan shares k crayons equally among 6 friends. Which expression shows how many crayons each friend gets? (a) k ÷ 6 (b) k − 6 (c) 6k (d) k + 6
3. 3.Zoya shares n laddoos equally among 7 friends. Which expression shows how many laddoos each friend gets? (a) n − 7 (b) n + 7 (c) 7n (d) n ÷ 7
4. 4.Find the value of 9x + 2 when x = 2.
5. 5.Vivaan has m shells. A friend has 7 more. Which expression shows how many shells the friend has? (a) 7m (b) m + 7 (c) m − 7 (d) m ÷ 7
6. 6.Find the value of 9y + 2 when y = 3.
7. 7.Solve: x ÷ 4 = 12. What is x?
8. 8.Solve: p + 10 = 25. What is p?
9. 9.Find the value of 3m + 12 when m = 8.
10. 10.Find the value of 9y − 6 when y = 1.
11. 11.Find the value of 8a + 6b when a = 6 and b = 8.
12. 12.Find the value of 2y + 1 when y = 11.
13. 13.Find the value of 9a + 4b when a = 6 and b = 8.
14. 14.Find the value of 2a + 2b when a = 10 and b = 5.
15. 15.Joseph has m bananas. A friend has 3 fewer. Which expression shows how many bananas the friend has? (a) m + 3 (b) 3m (c) m − 3 (d) m ÷ 3
16. 16.Sneha shares n laddoos equally among 4 friends. Which expression shows how many laddoos each friend gets? (a) n ÷ 4 (b) n − 4 (c) 4n (d) n + 4
17. 17.Find the value of 2y + 20 when y = 9.
18. 18.Solve: 6x = 72. What is x?
19. 19.Find the value of 4m + 17 when m = 11.
20. 20.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
21. 21.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
22. 22.Find the value of 2a + 3b when a = 8 and b = 7.
23. 23.Solve: x + 8 = 12. What is x?
24. 24.Joseph has p balls. A friend has 5 fewer. Which expression shows how many balls the friend has? (a) 5p (b) p + 5 (c) p ÷ 5 (d) p − 5
25. 25.Rahul has p balloons. A friend has 5 more. Which expression shows how many balloons the friend has? (a) p − 5 (b) p + 5 (c) p ÷ 5 (d) 5p
26. 26.Find the value of 3x − 5 when x = 10.
27. 27.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
28. 28.Solve: y + 5 = 20. What is y?
29. 29.Solve: t ÷ 9 = 16. What is t?
30. 30.Diya has k balls. A friend has 2 more. Which expression shows how many balls the friend has? (a) k + 2 (b) k ÷ 2 (c) k − 2 (d) 2k
31. 31.Find the value of 5a + 5b when a = 3 and b = 6.
32. 32.Solve: x − 10 = 5. What is x?
33. 33.Find the value of 8a + 6b when a = 7 and b = 10.
34. 34.Arjun has p pencils. A friend has 2 fewer. Which expression shows how many pencils the friend has? (a) 2p (b) p − 2 (c) p ÷ 2 (d) p + 2
35. 35.Arjun has n books. A friend has 9 times as many. Which expression shows how many books the friend has? (a) 9n (b) n − 9 (c) n ÷ 9 (d) n + 9
36. 36.Solve: y + 4 = 24. What is y?
37. 37.Solve: 9y = 90. What is y?
38. 38.Find the value of 7y − 9 when y = 8.
39. 39.Solve: p ÷ 3 = 5. What is p?
40. 40.Find the value of 7p + 12 when p = 3.

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