Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 63 · 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 3n + 3 when n = 12.
2. 2.Riya has p balls. A friend has 5 more. Which expression shows how many balls the friend has? (a) p − 5 (b) p + 5 (c) 5p (d) p ÷ 5
3. 3.Solve: 8n = 88. What is n?
4. 4.Find the value of 9m + 10 when m = 11.
5. 5.Solve: x ÷ 6 = 7. What is x?
6. 6.Find the value of 8p + 12 when p = 1.
7. 7.Solve: 2n = 6. What is n?
8. 8.Meera has p balls. A friend has 3 more. Which expression shows how many balls the friend has? (a) 3p (b) p − 3 (c) p + 3 (d) p ÷ 3
9. 9.Find the value of 5a + 9b when a = 1 and b = 2.
10. 10.Dev has p books. A friend has 8 times as many. Which expression shows how many books the friend has? (a) p + 8 (b) p ÷ 8 (c) p − 8 (d) 8p
11. 11.Find the value of 8a + 2b when a = 2 and b = 2.
12. 12.Solve: x ÷ 6 = 11. What is x?
13. 13.Gurpreet has k marbles. A friend has 2 times as many. Which expression shows how many marbles the friend has? (a) k ÷ 2 (b) 2k (c) k + 2 (d) k − 2
14. 14.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
15. 15.Solve: p − 8 = 9. What is p?
16. 16.Find the value of 5p + 13 when p = 3.
17. 17.Find the value of 7y − 60 when y = 12.
18. 18.Find the value of 4y − 19 when y = 5.
19. 19.Find the value of 3a + 5b when a = 8 and b = 10.
20. 20.Solve: m + 4 = 12. What is m?
21. 21.Find the value of 2y − 5 when y = 6.
22. 22.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
23. 23.Find the value of 3y + 9 when y = 10.
24. 24.Solve: p + 12 = 28. What is p?
25. 25.Find the value of 3a + 5b when a = 7 and b = 6.
26. 26.Find the value of 6m − 1 when m = 2.
27. 27.Find the value of 9a + 7b when a = 1 and b = 5.
28. 28.Lakshmi has n crayons. A friend has 7 times as many. Which expression shows how many crayons the friend has? (a) n − 7 (b) 7n (c) n + 7 (d) n ÷ 7
29. 29.Aarav shares p laddoos equally among 8 friends. Which expression shows how many laddoos each friend gets? (a) p + 8 (b) p − 8 (c) p ÷ 8 (d) 8p
30. 30.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
31. 31.Find the value of 4a + 7b when a = 3 and b = 5.
32. 32.Rahul has k laddoos. A friend has 2 more. Which expression shows how many laddoos the friend has? (a) k + 2 (b) k ÷ 2 (c) 2k (d) k − 2
33. 33.Find the value of 5a + 2b when a = 2 and b = 10.
34. 34.Find the value of 3m + 12 when m = 5.
35. 35.Find the value of 6m + 18 when m = 3.
36. 36.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
37. 37.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?
38. 38.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
39. 39.Manav has m pencils. A friend has 2 fewer. Which expression shows how many pencils the friend has? (a) 2m (b) m + 2 (c) m ÷ 2 (d) m − 2
40. 40.Find the value of 6m + 1 when m = 3.

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