Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 161 · 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.Solve: x ÷ 9 = 15. What is x?
2. 2.Solve: p + 6 = 9. What is p?
3. 3.Solve: p ÷ 4 = 12. What is p?
4. 4.Zoya has n books. A friend has 2 times as many. Which expression shows how many books the friend has? (a) n − 2 (b) 2n (c) n ÷ 2 (d) n + 2
5. 5.Diya has n shells. A friend has 5 times as many. Which expression shows how many shells the friend has? (a) 5n (b) n ÷ 5 (c) n − 5 (d) n + 5
6. 6.Kabir has p flowers. A friend has 9 times as many. Which expression shows how many flowers the friend has? (a) p − 9 (b) p ÷ 9 (c) 9p (d) p + 9
7. 7.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
8. 8.Solve: p ÷ 6 = 1. What is p?
9. 9.Solve: p − 10 = 18. What is p?
10. 10.Find the value of 6a + 3b when a = 7 and b = 9.
11. 11.Solve: x ÷ 8 = 9. What is x?
12. 12.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
13. 13.Find the value of 5a + 3b when a = 8 and b = 9.
14. 14.Find the value of 5a + 3b when a = 9 and b = 6.
15. 15.Solve: p − 9 = 14. What is p?
16. 16.Sneha shares m kites equally among 8 friends. Which expression shows how many kites each friend gets? (a) m + 8 (b) 8m (c) m − 8 (d) m ÷ 8
17. 17.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
18. 18.Joseph has k crayons. A friend has 5 more. Which expression shows how many crayons the friend has? (a) k + 5 (b) k − 5 (c) 5k (d) k ÷ 5
19. 19.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
20. 20.Solve: 3y = 42. What is y?
21. 21.Find the value of 3a + 9b when a = 6 and b = 2.
22. 22.Solve: m − 5 = 4. What is m?
23. 23.Find the value of 2y + 2 when y = 3.
24. 24.Find the value of 7a + 8b when a = 6 and b = 5.
25. 25.Solve: 12x = 144. What is x?
26. 26.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
27. 27.Priya has k balls. A friend has 7 fewer. Which expression shows how many balls the friend has? (a) k + 7 (b) k ÷ 7 (c) k − 7 (d) 7k
28. 28.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
29. 29.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
30. 30.Find the value of 3a + 3b when a = 7 and b = 2.
31. 31.Solve: x + 11 = 15. What is x?
32. 32.Find the value of 8n − 8 when n = 3.
33. 33.Solve: x ÷ 11 = 15. What is x?
34. 34.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
35. 35.Find the value of 9p − 11 when p = 8.
36. 36.Pooja has k marbles. A friend has 2 more. Which expression shows how many marbles the friend has? (a) 2k (b) k + 2 (c) k ÷ 2 (d) k − 2
37. 37.Find the value of 7a + 9b when a = 2 and b = 10.
38. 38.Find the value of 4a + 8b when a = 7 and b = 10.
39. 39.Find the value of 7y + 2 when y = 7.
40. 40.Find the value of 5a + 7b when a = 8 and b = 9.

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