Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 263 · 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 F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
2. 2.Diya has p balls. A friend has 2 times as many. Which expression shows how many balls the friend has? (a) 2p (b) p + 2 (c) p ÷ 2 (d) p − 2
3. 3.Solve: y ÷ 6 = 12. What is y?
4. 4.Solve: t ÷ 6 = 4. What is t?
5. 5.Find the value of 6x + 11 when x = 7.
6. 6.Find the value of 8a + 8b when a = 8 and b = 5.
7. 7.Solve: 6y = 78. What is y?
8. 8.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
9. 9.Sneha has n mangoes. A friend has 2 fewer. Which expression shows how many mangoes the friend has? (a) 2n (b) n ÷ 2 (c) n + 2 (d) n − 2
10. 10.Solve: y + 12 = 14. What is y?
11. 11.Find the value of 3a + 5b when a = 1 and b = 1.
12. 12.Find the value of 5a + 4b when a = 5 and b = 1.
13. 13.Find the value of 2a + 9b when a = 3 and b = 5.
14. 14.Isha has p balls. A friend has 7 times as many. Which expression shows how many balls the friend has? (a) p + 7 (b) 7p (c) p − 7 (d) p ÷ 7
15. 15.Find the value of 2n + 4 when n = 3.
16. 16.Find the value of 3a + 5b when a = 1 and b = 3.
17. 17.Find the value of 2a + 7b when a = 6 and b = 6.
18. 18.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
19. 19.Karan has k mangoes. A friend has 2 more. Which expression shows how many mangoes the friend has? (a) k ÷ 2 (b) 2k (c) k − 2 (d) k + 2
20. 20.Karan has n laddoos. A friend has 9 fewer. Which expression shows how many laddoos the friend has? (a) 9n (b) n ÷ 9 (c) n + 9 (d) n − 9
21. 21.Find the value of 2n + 2 when n = 2.
22. 22.Arjun has p balloons. A friend has 9 times as many. Which expression shows how many balloons the friend has? (a) p + 9 (b) p − 9 (c) p ÷ 9 (d) 9p
23. 23.Find the value of 5a + 7b when a = 1 and b = 3.
24. 24.Joseph shares n books equally among 3 friends. Which expression shows how many books each friend gets? (a) n + 3 (b) n − 3 (c) 3n (d) n ÷ 3
25. 25.Solve: n ÷ 4 = 11. What is n?
26. 26.Isha has m pencils. A friend has 3 fewer. Which expression shows how many pencils the friend has? (a) m ÷ 3 (b) 3m (c) m + 3 (d) m − 3
27. 27.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
28. 28.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
29. 29.Find the value of 5x + 11 when x = 1.
30. 30.Find the value of 3y + 14 when y = 5.
31. 31.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
32. 32.Solve: y + 10 = 30. What is y?
33. 33.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
34. 34.Solve: t ÷ 11 = 13. What is t?
35. 35.Find the value of 6x + 1 when x = 12.
36. 36.Solve: p + 7 = 15. What is p?
37. 37.Kabir shares n crayons equally among 5 friends. Which expression shows how many crayons each friend gets? (a) n + 5 (b) 5n (c) n ÷ 5 (d) n − 5
38. 38.Find the value of 9t − 70 when t = 11.
39. 39.Kabir has m flowers. A friend has 3 fewer. Which expression shows how many flowers the friend has? (a) m − 3 (b) 3m (c) m ÷ 3 (d) m + 3
40. 40.Kabir has n pencils. A friend has 8 times as many. Which expression shows how many pencils the friend has? (a) n + 8 (b) n − 8 (c) 8n (d) n ÷ 8

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