Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 245 · 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.Ananya has m shells. A friend has 6 times as many. Which expression shows how many shells the friend has? (a) m − 6 (b) m ÷ 6 (c) 6m (d) m + 6
2. 2.Isha has k pencils. A friend has 8 times as many. Which expression shows how many pencils the friend has? (a) k − 8 (b) k ÷ 8 (c) 8k (d) k + 8
3. 3.Solve: y + 11 = 16. What is y?
4. 4.Find the value of 5a + 3b when a = 10 and b = 4.
5. 5.Diya shares k bananas equally among 7 friends. Which expression shows how many bananas each friend gets? (a) k + 7 (b) 7k (c) k − 7 (d) k ÷ 7
6. 6.Lakshmi has p laddoos. A friend has 4 fewer. Which expression shows how many laddoos the friend has? (a) 4p (b) p + 4 (c) p − 4 (d) p ÷ 4
7. 7.Solve: t + 4 = 12. What is t?
8. 8.Find the value of 8x − 5 when x = 1.
9. 9.Find the value of 7a + 6b when a = 3 and b = 2.
10. 10.Find the value of 5y + 20 when y = 12.
11. 11.Find the value of 3a + 2b when a = 6 and b = 3.
12. 12.Solve: n + 5 = 15. What is n?
13. 13.Solve: y ÷ 8 = 1. What is y?
14. 14.Find the value of 5a + 6b when a = 8 and b = 10.
15. 15.Solve: n − 12 = 7. What is n?
16. 16.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
17. 17.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
18. 18.Find the value of 9m − 24 when m = 11.
19. 19.Solve: x − 10 = 9. What is x?
20. 20.Find the value of 9a + 5b when a = 1 and b = 7.
21. 21.Solve: m ÷ 8 = 15. What is m?
22. 22.Meera has p marbles. A friend has 4 times as many. Which expression shows how many marbles the friend has? (a) p − 4 (b) p + 4 (c) p ÷ 4 (d) 4p
23. 23.Isha has p flowers. A friend has 4 more. Which expression shows how many flowers the friend has? (a) p ÷ 4 (b) p − 4 (c) 4p (d) p + 4
24. 24.Find the value of 9a + 5b when a = 9 and b = 1.
25. 25.Solve: 8t = 8. What is t?
26. 26.Solve: 9y = 45. What is y?
27. 27.Find the value of 6y + 6 when y = 8.
28. 28.Find the value of 5y − 12 when y = 5.
29. 29.Solve: y + 5 = 11. What is y?
30. 30.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
31. 31.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
32. 32.Pooja has k marbles. A friend has 3 more. Which expression shows how many marbles the friend has? (a) k − 3 (b) k + 3 (c) 3k (d) k ÷ 3
33. 33.Solve: n ÷ 7 = 9. What is n?
34. 34.Saanvi has k pencils. A friend has 3 times as many. Which expression shows how many pencils the friend has? (a) k ÷ 3 (b) k + 3 (c) 3k (d) k − 3
35. 35.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
36. 36.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
37. 37.Dev shares m marbles equally among 5 friends. Which expression shows how many marbles each friend gets? (a) 5m (b) m ÷ 5 (c) m + 5 (d) m − 5
38. 38.Find the value of 9p + 1 when p = 9.
39. 39.Find the value of 6p − 9 when p = 3.
40. 40.Solve: p + 10 = 20. What is p?

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