Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 513 · 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 T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
2. 2.Find the value of 3x − 9 when x = 8.
3. 3.Aarav has m shells. A friend has 4 fewer. Which expression shows how many shells the friend has? (a) m + 4 (b) m ÷ 4 (c) m − 4 (d) 4m
4. 4.Find the value of 9a + 3b when a = 3 and b = 8.
5. 5.Find the value of 9m + 10 when m = 10.
6. 6.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
7. 7.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
8. 8.Solve: n − 5 = 5. What is n?
9. 9.Vivaan has n laddoos. A friend has 7 times as many. Which expression shows how many laddoos the friend has? (a) 7n (b) n − 7 (c) n ÷ 7 (d) n + 7
10. 10.Dev has n shells. A friend has 6 more. Which expression shows how many shells the friend has? (a) n + 6 (b) n ÷ 6 (c) n − 6 (d) 6n
11. 11.Solve: x − 7 = 7. What is x?
12. 12.Find the value of 5p + 4 when p = 11.
13. 13.Find the value of 3a + 9b when a = 2 and b = 2.
14. 14.Meera has n mangoes. A friend has 7 times as many. Which expression shows how many mangoes the friend has? (a) n + 7 (b) n − 7 (c) 7n (d) n ÷ 7
15. 15.Solve: 5x = 80. What is x?
16. 16.Solve: x − 6 = 9. What is x?
17. 17.Find the value of 5t + 7 when t = 5.
18. 18.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
19. 19.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
20. 20.Karan has m shells. A friend has 8 more. Which expression shows how many shells the friend has? (a) 8m (b) m ÷ 8 (c) m − 8 (d) m + 8
21. 21.Find the value of 4m − 6 when m = 5.
22. 22.Karan has n shells. A friend has 7 times as many. Which expression shows how many shells the friend has? (a) n ÷ 7 (b) n + 7 (c) n − 7 (d) 7n
23. 23.Find the value of 5n + 4 when n = 8.
24. 24.Lakshmi shares m marbles equally among 3 friends. Which expression shows how many marbles each friend gets? (a) m ÷ 3 (b) m − 3 (c) m + 3 (d) 3m
25. 25.Meera has m kites. A friend has 5 more. Which expression shows how many kites the friend has? (a) 5m (b) m − 5 (c) m ÷ 5 (d) m + 5
26. 26.Find the value of 2a + 6b when a = 3 and b = 5.
27. 27.Find the value of 3p − 11 when p = 5.
28. 28.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
29. 29.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
30. 30.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
31. 31.Find the value of 2m + 16 when m = 7.
32. 32.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
33. 33.Find the value of 2a + 8b when a = 2 and b = 9.
34. 34.Arjun has k marbles. A friend has 2 fewer. Which expression shows how many marbles the friend has? (a) k − 2 (b) 2k (c) k ÷ 2 (d) k + 2
35. 35.Solve: p + 10 = 24. What is p?
36. 36.Find the value of 3p + 11 when p = 1.
37. 37.Find the value of 8m − 27 when m = 6.
38. 38.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
39. 39.Solve: x + 5 = 15. What is x?
40. 40.Solve: n + 4 = 20. What is n?

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