Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 297 · 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: p ÷ 3 = 16. What is p?
2. 2.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
3. 3.Solve: t ÷ 7 = 9. What is t?
4. 4.Pooja has p balls. A friend has 3 times as many. Which expression shows how many balls the friend has? (a) p − 3 (b) p + 3 (c) 3p (d) p ÷ 3
5. 5.Find the value of 2a + 7b when a = 3 and b = 10.
6. 6.Find the value of 6a + 6b when a = 1 and b = 1.
7. 7.Solve: x − 10 = 9. What is x?
8. 8.Find the value of 3a + 2b when a = 9 and b = 4.
9. 9.Solve: y ÷ 2 = 13. What is y?
10. 10.Find the value of 2t + 4 when t = 9.
11. 11.Kabir has k crayons. A friend has 8 fewer. Which expression shows how many crayons the friend has? (a) k + 8 (b) k − 8 (c) k ÷ 8 (d) 8k
12. 12.Find the value of 4a + 9b when a = 8 and b = 6.
13. 13.Find the value of 6y − 55 when y = 12.
14. 14.Aarav has k mangoes. A friend has 8 more. Which expression shows how many mangoes the friend has? (a) 8k (b) k − 8 (c) k + 8 (d) k ÷ 8
15. 15.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
16. 16.Solve: p − 8 = 19. What is p?
17. 17.Find the value of 2x − 11 when x = 7.
18. 18.Solve: m − 10 = 4. What is m?
19. 19.Find the value of 3t + 18 when t = 6.
20. 20.Find the value of 8n − 1 when n = 7.
21. 21.Arjun shares p pencils equally among 6 friends. Which expression shows how many pencils each friend gets? (a) 6p (b) p − 6 (c) p ÷ 6 (d) p + 6
22. 22.Find the value of 2n − 11 when n = 9.
23. 23.Find the value of 6a + 8b when a = 10 and b = 3.
24. 24.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
25. 25.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
26. 26.Find the value of 7y + 3 when y = 9.
27. 27.Find the value of 4p + 12 when p = 1.
28. 28.Ishaan has p books. A friend has 5 fewer. Which expression shows how many books the friend has? (a) p + 5 (b) p ÷ 5 (c) p − 5 (d) 5p
29. 29.Find the value of 4n + 5 when n = 3.
30. 30.Find the value of 4a + 9b when a = 3 and b = 6.
31. 31.Solve: 8p = 160. What is p?
32. 32.Rahul has n books. A friend has 8 fewer. Which expression shows how many books the friend has? (a) n + 8 (b) n ÷ 8 (c) n − 8 (d) 8n
33. 33.Ishaan has n kites. A friend has 8 fewer. Which expression shows how many kites the friend has? (a) n − 8 (b) n + 8 (c) n ÷ 8 (d) 8n
34. 34.Solve: x + 10 = 20. What is x?
35. 35.Solve: n − 4 = 4. What is n?
36. 36.Saanvi shares k pencils equally among 5 friends. Which expression shows how many pencils each friend gets? (a) 5k (b) k + 5 (c) k − 5 (d) k ÷ 5
37. 37.Solve: m − 4 = 11. What is m?
38. 38.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
39. 39.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
40. 40.Find the value of 5a + 9b when a = 6 and b = 3.

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