Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 511 · 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 9t + 1 when t = 1.
2. 2.Diya has k shells. A friend has 2 more. Which expression shows how many shells the friend has? (a) 2k (b) k ÷ 2 (c) k − 2 (d) k + 2
3. 3.Find the value of 4m − 14 when m = 5.
4. 4.Solve: m + 11 = 28. What is m?
5. 5.Find the value of 3x + 9 when x = 6.
6. 6.Find the value of 6m + 11 when m = 8.
7. 7.Find the value of 5p − 3 when p = 1.
8. 8.Arjun shares m laddoos equally among 5 friends. Which expression shows how many laddoos each friend gets? (a) m ÷ 5 (b) m + 5 (c) m − 5 (d) 5m
9. 9.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
10. 10.Meera has m balloons. A friend has 7 fewer. Which expression shows how many balloons the friend has? (a) 7m (b) m ÷ 7 (c) m + 7 (d) m − 7
11. 11.Farhan shares n mangoes equally among 2 friends. Which expression shows how many mangoes each friend gets? (a) n ÷ 2 (b) 2n (c) n − 2 (d) n + 2
12. 12.Solve: m − 5 = 18. What is m?
13. 13.Solve: 4t = 12. What is t?
14. 14.Aarav has k bananas. A friend has 4 more. Which expression shows how many bananas the friend has? (a) k ÷ 4 (b) k − 4 (c) 4k (d) k + 4
15. 15.Find the value of 3a + 7b when a = 8 and b = 8.
16. 16.Find the value of 5a + 4b when a = 4 and b = 6.
17. 17.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
18. 18.Joseph has m crayons. A friend has 8 more. Which expression shows how many crayons the friend has? (a) m + 8 (b) m ÷ 8 (c) 8m (d) m − 8
19. 19.Solve: t − 9 = 11. What is t?
20. 20.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 21 letters?
21. 21.Find the value of 5x − 6 when x = 3.
22. 22.Find the value of 4a + 4b when a = 6 and b = 7.
23. 23.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
24. 24.Arjun has p crayons. A friend has 8 times as many. Which expression shows how many crayons the friend has? (a) p ÷ 8 (b) p − 8 (c) 8p (d) p + 8
25. 25.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
26. 26.Meera has k shells. A friend has 5 fewer. Which expression shows how many shells the friend has? (a) k − 5 (b) k ÷ 5 (c) 5k (d) k + 5
27. 27.Find the value of 2a + 2b when a = 2 and b = 4.
28. 28.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
29. 29.Find the value of 2p + 19 when p = 6.
30. 30.Find the value of 7a + 2b when a = 10 and b = 5.
31. 31.Solve: m + 3 = 18. What is m?
32. 32.Find the value of 7t + 19 when t = 8.
33. 33.Rahul has n marbles. A friend has 4 more. Which expression shows how many marbles the friend has? (a) n + 4 (b) n − 4 (c) n ÷ 4 (d) 4n
34. 34.Solve: x − 9 = 1. What is x?
35. 35.Find the value of 8m + 4 when m = 2.
36. 36.Rahul shares n kites equally among 9 friends. Which expression shows how many kites each friend gets? (a) 9n (b) n + 9 (c) n ÷ 9 (d) n − 9
37. 37.Find the value of 9t + 3 when t = 1.
38. 38.Solve: m ÷ 6 = 2. What is m?
39. 39.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
40. 40.Find the value of 4n − 7 when n = 3.

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets