Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 328 · 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 4m − 35 when m = 11.
2. 2.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
3. 3.Find the value of 4p + 17 when p = 3.
4. 4.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
5. 5.Zoya has n flowers. A friend has 6 times as many. Which expression shows how many flowers the friend has? (a) n − 6 (b) 6n (c) n + 6 (d) n ÷ 6
6. 6.Find the value of 8p − 23 when p = 10.
7. 7.Isha has n balls. A friend has 9 times as many. Which expression shows how many balls the friend has? (a) 9n (b) n − 9 (c) n ÷ 9 (d) n + 9
8. 8.Find the value of 8p − 3 when p = 9.
9. 9.Find the value of 3a + 6b when a = 4 and b = 8.
10. 10.Solve: 7t = 35. What is t?
11. 11.Find the value of 9a + 7b when a = 2 and b = 2.
12. 12.Find the value of 2a + 7b when a = 10 and b = 6.
13. 13.Find the value of 2m + 19 when m = 11.
14. 14.Solve: n + 5 = 15. What is n?
15. 15.Find the value of 3n − 4 when n = 8.
16. 16.Find the value of 4t + 9 when t = 3.
17. 17.Find the value of 3a + 7b when a = 1 and b = 6.
18. 18.Tara has m balls. A friend has 3 fewer. Which expression shows how many balls the friend has? (a) m + 3 (b) 3m (c) m ÷ 3 (d) m − 3
19. 19.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
20. 20.Find the value of 6a + 3b when a = 1 and b = 2.
21. 21.Find the value of 8y − 29 when y = 10.
22. 22.Joseph has k laddoos. A friend has 8 times as many. Which expression shows how many laddoos the friend has? (a) k + 8 (b) k − 8 (c) 8k (d) k ÷ 8
23. 23.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
24. 24.Lakshmi has n laddoos. A friend has 4 fewer. Which expression shows how many laddoos the friend has? (a) n ÷ 4 (b) 4n (c) n + 4 (d) n − 4
25. 25.Find the value of 8x − 36 when x = 8.
26. 26.Find the value of 6a + 8b when a = 6 and b = 3.
27. 27.Arjun shares n flowers equally among 5 friends. Which expression shows how many flowers each friend gets? (a) 5n (b) n + 5 (c) n ÷ 5 (d) n − 5
28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
29. 29.Solve: 5m = 60. What is m?
30. 30.Ananya has k shells. A friend has 8 more. Which expression shows how many shells the friend has? (a) 8k (b) k ÷ 8 (c) k + 8 (d) k − 8
31. 31.Nisha shares p marbles equally among 8 friends. Which expression shows how many marbles each friend gets? (a) p + 8 (b) 8p (c) p − 8 (d) p ÷ 8
32. 32.Find the value of 5a + 5b when a = 9 and b = 8.
33. 33.Farhan has n bananas. A friend has 8 fewer. Which expression shows how many bananas the friend has? (a) n − 8 (b) n + 8 (c) 8n (d) n ÷ 8
34. 34.Find the value of 5a + 6b when a = 7 and b = 5.
35. 35.Solve: p + 5 = 10. What is p?
36. 36.Aarav has n pencils. A friend has 9 more. Which expression shows how many pencils the friend has? (a) n − 9 (b) n ÷ 9 (c) n + 9 (d) 9n
37. 37.Find the value of 8a + 7b when a = 4 and b = 4.
38. 38.Find the value of 3a + 6b when a = 10 and b = 7.
39. 39.Find the value of 3a + 3b when a = 6 and b = 7.
40. 40.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?

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