Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 260 · 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 8a + 5b when a = 1 and b = 7.
2. 2.Find the value of 7a + 6b when a = 8 and b = 4.
3. 3.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
4. 4.Find the value of 4t + 2 when t = 7.
5. 5.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
6. 6.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
7. 7.Joseph has n laddoos. A friend has 7 times as many. Which expression shows how many laddoos the friend has? (a) n − 7 (b) 7n (c) n ÷ 7 (d) n + 7
8. 8.Solve: n − 4 = 19. What is n?
9. 9.Find the value of 3m + 17 when m = 2.
10. 10.Ishaan shares n pencils equally among 7 friends. Which expression shows how many pencils each friend gets? (a) n + 7 (b) n − 7 (c) 7n (d) n ÷ 7
11. 11.Find the value of 5y − 20 when y = 6.
12. 12.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?
13. 13.Solve: m ÷ 4 = 18. What is m?
14. 14.Aarav shares m balls equally among 2 friends. Which expression shows how many balls each friend gets? (a) m ÷ 2 (b) m − 2 (c) 2m (d) m + 2
15. 15.Zoya has k crayons. A friend has 4 fewer. Which expression shows how many crayons the friend has? (a) k − 4 (b) k ÷ 4 (c) 4k (d) k + 4
16. 16.Find the value of 3a + 2b when a = 4 and b = 1.
17. 17.Solve: 5m = 40. What is m?
18. 18.Sneha has m flowers. A friend has 5 fewer. Which expression shows how many flowers the friend has? (a) m + 5 (b) m − 5 (c) 5m (d) m ÷ 5
19. 19.Find the value of 2a + 3b when a = 3 and b = 5.
20. 20.Solve: 2t = 28. What is t?
21. 21.Solve: m ÷ 7 = 16. What is m?
22. 22.Nisha has m shells. A friend has 5 more. Which expression shows how many shells the friend has? (a) m − 5 (b) m ÷ 5 (c) m + 5 (d) 5m
23. 23.Solve: y − 10 = 10. What is y?
24. 24.Find the value of 6x − 18 when x = 6.
25. 25.Find the value of 7x + 5 when x = 8.
26. 26.Find the value of 2t − 11 when t = 8.
27. 27.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 10 letters?
28. 28.Tara has m shells. A friend has 8 more. Which expression shows how many shells the friend has? (a) m − 8 (b) m + 8 (c) m ÷ 8 (d) 8m
29. 29.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
30. 30.Find the value of 8y + 15 when y = 8.
31. 31.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
32. 32.Solve: x ÷ 11 = 11. What is x?
33. 33.Find the value of 6x + 1 when x = 7.
34. 34.Find the value of 5a + 3b when a = 5 and b = 10.
35. 35.Solve: 8p = 160. What is p?
36. 36.Solve: n + 2 = 13. What is n?
37. 37.Rahul has m kites. A friend has 5 times as many. Which expression shows how many kites the friend has? (a) m − 5 (b) 5m (c) m ÷ 5 (d) m + 5
38. 38.Find the value of 7m + 16 when m = 8.
39. 39.Find the value of 6a + 3b when a = 1 and b = 2.
40. 40.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?

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