Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 581 · 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 7x + 3 when x = 5.
2. 2.Find the value of 8m + 7 when m = 11.
3. 3.Find the value of 3y + 5 when y = 7.
4. 4.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
5. 5.Karan has k flowers. A friend has 9 more. Which expression shows how many flowers the friend has? (a) k + 9 (b) k − 9 (c) 9k (d) k ÷ 9
6. 6.Solve: x ÷ 6 = 13. What is x?
7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
8. 8.Zoya has k balloons. A friend has 6 times as many. Which expression shows how many balloons the friend has? (a) 6k (b) k ÷ 6 (c) k − 6 (d) k + 6
9. 9.Solve: n + 11 = 23. What is n?
10. 10.Find the value of 6a + 2b when a = 9 and b = 4.
11. 11.Find the value of 3a + 9b when a = 8 and b = 1.
12. 12.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
13. 13.Solve: 9x = 162. What is x?
14. 14.Solve: y − 10 = 1. What is y?
15. 15.Meera has p laddoos. A friend has 4 fewer. Which expression shows how many laddoos the friend has? (a) p ÷ 4 (b) p + 4 (c) 4p (d) p − 4
16. 16.Aditya has k balls. A friend has 2 fewer. Which expression shows how many balls the friend has? (a) k + 2 (b) k − 2 (c) k ÷ 2 (d) 2k
17. 17.Solve: n + 2 = 20. What is n?
18. 18.Solve: 12t = 144. What is t?
19. 19.Find the value of 5a + 3b when a = 6 and b = 6.
20. 20.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
21. 21.Find the value of 5a + 8b when a = 7 and b = 2.
22. 22.Find the value of 2a + 7b when a = 6 and b = 8.
23. 23.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 7 letters?
24. 24.Tara shares m kites equally among 8 friends. Which expression shows how many kites each friend gets? (a) m ÷ 8 (b) 8m (c) m + 8 (d) m − 8
25. 25.Kavya has n kites. A friend has 2 more. Which expression shows how many kites the friend has? (a) n − 2 (b) 2n (c) n ÷ 2 (d) n + 2
26. 26.Solve: p + 7 = 9. What is p?
27. 27.Find the value of 4a + 2b when a = 5 and b = 2.
28. 28.Arjun shares p flowers equally among 6 friends. Which expression shows how many flowers each friend gets? (a) p + 6 (b) p ÷ 6 (c) 6p (d) p − 6
29. 29.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
30. 30.Find the value of 9m + 1 when m = 10.
31. 31.Diya has p marbles. A friend has 5 times as many. Which expression shows how many marbles the friend has? (a) p + 5 (b) p ÷ 5 (c) p − 5 (d) 5p
32. 32.Manav shares m balloons equally among 5 friends. Which expression shows how many balloons each friend gets? (a) m − 5 (b) m ÷ 5 (c) 5m (d) m + 5
33. 33.Find the value of 6m + 10 when m = 7.
34. 34.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
35. 35.Find the value of 2x − 3 when x = 2.
36. 36.Solve: x − 4 = 19. What is x?
37. 37.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
38. 38.Find the value of 2y + 7 when y = 5.
39. 39.Nisha shares n crayons equally among 8 friends. Which expression shows how many crayons each friend gets? (a) n ÷ 8 (b) 8n (c) n + 8 (d) n − 8
40. 40.Find the value of 7y − 3 when y = 1.

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