Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 52 · 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: 11m = 110. What is m?
2. 2.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
3. 3.Find the value of 2m − 6 when m = 4.
4. 4.Pooja has p books. A friend has 9 times as many. Which expression shows how many books the friend has? (a) p + 9 (b) p − 9 (c) 9p (d) p ÷ 9
5. 5.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
6. 6.Solve: 7t = 105. What is t?
7. 7.Ishaan has n laddoos. A friend has 7 more. Which expression shows how many laddoos the friend has? (a) 7n (b) n − 7 (c) n ÷ 7 (d) n + 7
8. 8.Solve: x + 4 = 7. What is x?
9. 9.Riya has k flowers. A friend has 2 times as many. Which expression shows how many flowers the friend has? (a) k − 2 (b) k + 2 (c) k ÷ 2 (d) 2k
10. 10.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
11. 11.Solve: t − 7 = 7. What is t?
12. 12.Find the value of 2a + 7b when a = 6 and b = 4.
13. 13.Find the value of 7p + 14 when p = 1.
14. 14.Solve: p − 4 = 9. What is p?
15. 15.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
16. 16.Solve: 10p = 120. What is p?
17. 17.Find the value of 3a + 7b when a = 6 and b = 4.
18. 18.Aditya has n marbles. A friend has 9 more. Which expression shows how many marbles the friend has? (a) n ÷ 9 (b) 9n (c) n − 9 (d) n + 9
19. 19.Solve: n − 9 = 16. What is n?
20. 20.Find the value of 9a + 6b when a = 10 and b = 10.
21. 21.Find the value of 9a + 4b when a = 2 and b = 5.
22. 22.Solve: x + 5 = 7. What is x?
23. 23.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
24. 24.Solve: x + 11 = 27. What is x?
25. 25.Lakshmi has n mangoes. A friend has 6 more. Which expression shows how many mangoes the friend has? (a) 6n (b) n ÷ 6 (c) n − 6 (d) n + 6
26. 26.Rahul shares m balls equally among 2 friends. Which expression shows how many balls each friend gets? (a) m ÷ 2 (b) m − 2 (c) 2m (d) m + 2
27. 27.Find the value of 5m − 15 when m = 4.
28. 28.Find the value of 2n − 7 when n = 11.
29. 29.Find the value of 8t + 13 when t = 9.
30. 30.Kabir shares m marbles equally among 2 friends. Which expression shows how many marbles each friend gets? (a) 2m (b) m ÷ 2 (c) m − 2 (d) m + 2
31. 31.Farhan shares k shells equally among 9 friends. Which expression shows how many shells each friend gets? (a) k ÷ 9 (b) 9k (c) k − 9 (d) k + 9
32. 32.Solve: t − 11 = 19. What is t?
33. 33.Find the value of 3a + 3b when a = 5 and b = 4.
34. 34.Meera has m mangoes. A friend has 5 more. Which expression shows how many mangoes the friend has? (a) m − 5 (b) 5m (c) m ÷ 5 (d) m + 5
35. 35.Find the value of 6y − 43 when y = 9.
36. 36.Find the value of 5a + 3b when a = 3 and b = 3.
37. 37.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
38. 38.Joseph has n balls. A friend has 4 more. Which expression shows how many balls the friend has? (a) 4n (b) n − 4 (c) n + 4 (d) n ÷ 4
39. 39.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
40. 40.Solve: x − 3 = 10. What is x?

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