Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 392 · 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 5m − 10 when m = 10.
2. 2.Solve: p + 9 = 11. What is p?
3. 3.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?
4. 4.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
5. 5.Solve: x ÷ 12 = 16. What is x?
6. 6.Solve: x ÷ 4 = 20. What is x?
7. 7.Aditya has n shells. A friend has 2 more. Which expression shows how many shells the friend has? (a) n + 2 (b) n ÷ 2 (c) 2n (d) n − 2
8. 8.Solve: y + 8 = 27. What is y?
9. 9.Find the value of 5p + 15 when p = 4.
10. 10.Solve: x + 8 = 9. What is x?
11. 11.Find the value of 7n + 7 when n = 2.
12. 12.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
13. 13.Find the value of 7a + 9b when a = 2 and b = 8.
14. 14.Meera has m bananas. A friend has 7 fewer. Which expression shows how many bananas the friend has? (a) 7m (b) m + 7 (c) m − 7 (d) m ÷ 7
15. 15.Find the value of 8a + 5b when a = 4 and b = 2.
16. 16.Solve: 5m = 25. What is m?
17. 17.Diya has n laddoos. A friend has 5 times as many. Which expression shows how many laddoos the friend has? (a) n − 5 (b) n + 5 (c) n ÷ 5 (d) 5n
18. 18.Find the value of 3t + 8 when t = 11.
19. 19.Solve: m ÷ 10 = 13. What is m?
20. 20.Solve: p − 3 = 20. What is p?
21. 21.Find the value of 9m − 46 when m = 12.
22. 22.Find the value of 2a + 5b when a = 5 and b = 7.
23. 23.Find the value of 2a + 7b when a = 7 and b = 1.
24. 24.Find the value of 9a + 8b when a = 7 and b = 7.
25. 25.Pooja has n balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) 3n (b) n + 3 (c) n − 3 (d) n ÷ 3
26. 26.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
27. 27.Karan shares k marbles equally among 4 friends. Which expression shows how many marbles each friend gets? (a) k ÷ 4 (b) k + 4 (c) 4k (d) k − 4
28. 28.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
29. 29.Find the value of 7p − 9 when p = 10.
30. 30.Solve: x − 10 = 7. What is x?
31. 31.Solve: p − 5 = 3. What is p?
32. 32.Find the value of 9x + 5 when x = 8.
33. 33.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
34. 34.Lakshmi shares p bananas equally among 8 friends. Which expression shows how many bananas each friend gets? (a) p ÷ 8 (b) 8p (c) p − 8 (d) p + 8
35. 35.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
36. 36.Find the value of 2y + 11 when y = 12.
37. 37.Solve: t ÷ 6 = 20. What is t?
38. 38.Solve: t − 4 = 11. What is t?
39. 39.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
40. 40.Sneha shares k balloons equally among 2 friends. Which expression shows how many balloons each friend gets? (a) k + 2 (b) k ÷ 2 (c) k − 2 (d) 2k

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