Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 337 · 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.Aditya has m flowers. A friend has 5 fewer. Which expression shows how many flowers the friend has? (a) m + 5 (b) 5m (c) m − 5 (d) m ÷ 5
2. 2.Find the value of 5a + 5b when a = 7 and b = 6.
3. 3.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
4. 4.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
5. 5.Solve: m + 7 = 11. What is m?
6. 6.Solve: 8x = 64. What is x?
7. 7.Solve: n ÷ 3 = 13. What is n?
8. 8.Find the value of 4a + 3b when a = 6 and b = 1.
9. 9.Find the value of 2m − 11 when m = 8.
10. 10.Gurpreet has n pencils. A friend has 6 times as many. Which expression shows how many pencils the friend has? (a) n − 6 (b) 6n (c) n ÷ 6 (d) n + 6
11. 11.Ishaan has n pencils. A friend has 6 times as many. Which expression shows how many pencils the friend has? (a) n − 6 (b) n + 6 (c) n ÷ 6 (d) 6n
12. 12.Find the value of 8n − 23 when n = 3.
13. 13.Solve: x − 11 = 20. What is x?
14. 14.Find the value of 6x − 35 when x = 7.
15. 15.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
16. 16.Diya has m crayons. A friend has 2 times as many. Which expression shows how many crayons the friend has? (a) m + 2 (b) m ÷ 2 (c) m − 2 (d) 2m
17. 17.Solve: m ÷ 6 = 5. What is m?
18. 18.Find the value of 6t + 1 when t = 10.
19. 19.Solve: 3m = 21. What is m?
20. 20.Solve: y − 10 = 4. What is y?
21. 21.Solve: 9x = 108. What is x?
22. 22.Lakshmi has k balls. A friend has 4 more. Which expression shows how many balls the friend has? (a) k ÷ 4 (b) 4k (c) k − 4 (d) k + 4
23. 23.Find the value of 6a + 6b when a = 4 and b = 3.
24. 24.Find the value of 7y + 15 when y = 11.
25. 25.Find the value of 3m − 3 when m = 3.
26. 26.Farhan has m flowers. A friend has 3 more. Which expression shows how many flowers the friend has? (a) m + 3 (b) 3m (c) m ÷ 3 (d) m − 3
27. 27.Kavya has n pencils. A friend has 3 times as many. Which expression shows how many pencils the friend has? (a) n + 3 (b) n ÷ 3 (c) n − 3 (d) 3n
28. 28.Solve: p − 9 = 2. What is p?
29. 29.Solve: x − 12 = 10. What is x?
30. 30.Joseph shares m balls equally among 4 friends. Which expression shows how many balls each friend gets? (a) m + 4 (b) m − 4 (c) 4m (d) m ÷ 4
31. 31.Find the value of 8a + 9b when a = 2 and b = 1.
32. 32.Find the value of 5x + 19 when x = 12.
33. 33.Find the value of 6a + 9b when a = 4 and b = 3.
34. 34.Find the value of 8p + 1 when p = 12.
35. 35.Find the value of 3x + 13 when x = 2.
36. 36.Find the value of 5a + 6b when a = 2 and b = 7.
37. 37.Kabir has n balloons. A friend has 9 fewer. Which expression shows how many balloons the friend has? (a) 9n (b) n − 9 (c) n + 9 (d) n ÷ 9
38. 38.Tara has m books. A friend has 4 times as many. Which expression shows how many books the friend has? (a) 4m (b) m + 4 (c) m ÷ 4 (d) m − 4
39. 39.Karan has n crayons. A friend has 4 times as many. Which expression shows how many crayons the friend has? (a) 4n (b) n + 4 (c) n − 4 (d) n ÷ 4
40. 40.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?

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