Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 267 · 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: t − 8 = 17. What is t?
2. 2.Meera has n balls. A friend has 3 fewer. Which expression shows how many balls the friend has? (a) 3n (b) n − 3 (c) n ÷ 3 (d) n + 3
3. 3.Solve: x + 12 = 31. What is x?
4. 4.Find the value of 2a + 7b when a = 10 and b = 8.
5. 5.Solve: y ÷ 4 = 13. What is y?
6. 6.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
7. 7.Solve: 11n = 220. What is n?
8. 8.Find the value of 4a + 2b when a = 8 and b = 6.
9. 9.Find the value of 8a + 8b when a = 7 and b = 2.
10. 10.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
11. 11.Lakshmi has k pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) 2k (b) k ÷ 2 (c) k + 2 (d) k − 2
12. 12.Find the value of 8n − 12 when n = 5.
13. 13.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
14. 14.Dev has m balloons. A friend has 8 fewer. Which expression shows how many balloons the friend has? (a) m + 8 (b) m ÷ 8 (c) m − 8 (d) 8m
15. 15.Manav shares p laddoos equally among 3 friends. Which expression shows how many laddoos each friend gets? (a) p + 3 (b) 3p (c) p ÷ 3 (d) p − 3
16. 16.Aarav shares m laddoos equally among 9 friends. Which expression shows how many laddoos each friend gets? (a) m + 9 (b) m ÷ 9 (c) m − 9 (d) 9m
17. 17.Find the value of 9a + 5b when a = 10 and b = 2.
18. 18.Solve: m ÷ 4 = 16. What is m?
19. 19.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
20. 20.Find the value of 3m + 14 when m = 1.
21. 21.Solve: x + 3 = 20. What is x?
22. 22.Farhan shares n pencils equally among 5 friends. Which expression shows how many pencils each friend gets? (a) n − 5 (b) n + 5 (c) n ÷ 5 (d) 5n
23. 23.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
24. 24.Find the value of 6a + 6b when a = 7 and b = 5.
25. 25.Find the value of 5a + 4b when a = 6 and b = 5.
26. 26.Find the value of 5a + 9b when a = 8 and b = 6.
27. 27.Zoya has n books. A friend has 6 times as many. Which expression shows how many books the friend has? (a) n ÷ 6 (b) n − 6 (c) n + 6 (d) 6n
28. 28.Find the value of 4t + 16 when t = 8.
29. 29.Solve: p − 6 = 14. What is p?
30. 30.Find the value of 8n + 14 when n = 12.
31. 31.Find the value of 4a + 2b when a = 8 and b = 2.
32. 32.Find the value of 8y − 23 when y = 9.
33. 33.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 7 letters?
34. 34.Farhan has n shells. A friend has 9 more. Which expression shows how many shells the friend has? (a) n + 9 (b) 9n (c) n ÷ 9 (d) n − 9
35. 35.Solve: 4m = 32. What is m?
36. 36.Zoya has n pencils. A friend has 2 fewer. Which expression shows how many pencils the friend has? (a) n − 2 (b) n ÷ 2 (c) 2n (d) n + 2
37. 37.Find the value of 8m − 20 when m = 8.
38. 38.Find the value of 3x + 6 when x = 12.
39. 39.Solve: t − 2 = 1. What is t?
40. 40.Solve: y ÷ 2 = 9. What is y?

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