Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 17 · 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.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
2. 2.Solve: y + 10 = 13. What is y?
3. 3.Aarav shares k books equally among 6 friends. Which expression shows how many books each friend gets? (a) 6k (b) k − 6 (c) k ÷ 6 (d) k + 6
4. 4.Saanvi has k flowers. A friend has 7 more. Which expression shows how many flowers the friend has? (a) k ÷ 7 (b) k + 7 (c) k − 7 (d) 7k
5. 5.Solve: m ÷ 2 = 17. What is m?
6. 6.Vivaan shares n balloons equally among 9 friends. Which expression shows how many balloons each friend gets? (a) n + 9 (b) n ÷ 9 (c) n − 9 (d) 9n
7. 7.Find the value of 8t + 14 when t = 8.
8. 8.Solve: x ÷ 6 = 6. What is x?
9. 9.Joseph has m pencils. A friend has 7 more. Which expression shows how many pencils the friend has? (a) m − 7 (b) m ÷ 7 (c) 7m (d) m + 7
10. 10.Find the value of 9t − 24 when t = 11.
11. 11.Find the value of 2p − 1 when p = 1.
12. 12.Solve: n ÷ 2 = 19. What is n?
13. 13.Solve: x + 6 = 26. What is x?
14. 14.Solve: n − 2 = 15. What is n?
15. 15.Find the value of 9m + 8 when m = 1.
16. 16.Rahul has k crayons. A friend has 2 more. Which expression shows how many crayons the friend has? (a) k ÷ 2 (b) k − 2 (c) 2k (d) k + 2
17. 17.Isha has m kites. A friend has 9 more. Which expression shows how many kites the friend has? (a) m + 9 (b) m − 9 (c) 9m (d) m ÷ 9
18. 18.Ishaan has n pencils. A friend has 9 fewer. Which expression shows how many pencils the friend has? (a) n ÷ 9 (b) n + 9 (c) 9n (d) n − 9
19. 19.Find the value of 2x + 5 when x = 12.
20. 20.Solve: 10m = 30. What is m?
21. 21.Pooja has n bananas. A friend has 3 times as many. Which expression shows how many bananas the friend has? (a) n − 3 (b) n + 3 (c) n ÷ 3 (d) 3n
22. 22.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
23. 23.Find the value of 2a + 5b when a = 7 and b = 10.
24. 24.Farhan has k bananas. A friend has 9 more. Which expression shows how many bananas the friend has? (a) k ÷ 9 (b) k − 9 (c) 9k (d) k + 9
25. 25.Solve: m ÷ 7 = 6. What is m?
26. 26.Solve: y + 11 = 20. What is y?
27. 27.Find the value of 3a + 8b when a = 2 and b = 2.
28. 28.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
29. 29.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
30. 30.Find the value of 2a + 5b when a = 8 and b = 6.
31. 31.Solve: x ÷ 4 = 13. What is x?
32. 32.Solve: 7t = 112. What is t?
33. 33.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
34. 34.Rohan has m pencils. A friend has 9 more. Which expression shows how many pencils the friend has? (a) m − 9 (b) 9m (c) m ÷ 9 (d) m + 9
35. 35.Find the value of 5a + 7b when a = 5 and b = 7.
36. 36.Solve: y ÷ 4 = 2. What is y?
37. 37.Find the value of 2a + 5b when a = 6 and b = 3.
38. 38.Find the value of 4p − 22 when p = 10.
39. 39.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
40. 40.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?

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