Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 468 · 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 shares m pencils equally among 2 friends. Which expression shows how many pencils each friend gets? (a) m − 2 (b) m ÷ 2 (c) m + 2 (d) 2m
2. 2.Find the value of 9x + 13 when x = 2.
3. 3.Pooja has m marbles. A friend has 4 times as many. Which expression shows how many marbles the friend has? (a) m − 4 (b) 4m (c) m ÷ 4 (d) m + 4
4. 4.Find the value of 4n − 12 when n = 5.
5. 5.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
6. 6.Find the value of 6n + 2 when n = 8.
7. 7.Find the value of 6n + 20 when n = 10.
8. 8.Find the value of 7x + 14 when x = 7.
9. 9.Find the value of 4a + 7b when a = 4 and b = 5.
10. 10.Find the value of 8x + 2 when x = 7.
11. 11.Find the value of 7t − 23 when t = 5.
12. 12.Find the value of 7t + 12 when t = 11.
13. 13.Find the value of 6p − 21 when p = 4.
14. 14.Solve: p ÷ 6 = 1. What is p?
15. 15.Find the value of 3p − 2 when p = 1.
16. 16.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
17. 17.Find the value of 3a + 4b when a = 4 and b = 8.
18. 18.Find the value of 4x + 9 when x = 1.
19. 19.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
20. 20.Find the value of 2m − 1 when m = 3.
21. 21.Solve: p + 3 = 5. What is p?
22. 22.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 24 letters?
23. 23.Find the value of 9a + 9b when a = 4 and b = 2.
24. 24.Find the value of 5a + 4b when a = 7 and b = 6.
25. 25.Rahul has n balls. A friend has 6 fewer. Which expression shows how many balls the friend has? (a) n + 6 (b) 6n (c) n ÷ 6 (d) n − 6
26. 26.Find the value of 7p + 12 when p = 10.
27. 27.Nisha has n shells. A friend has 2 fewer. Which expression shows how many shells the friend has? (a) 2n (b) n − 2 (c) n ÷ 2 (d) n + 2
28. 28.Aditya has k balloons. A friend has 7 times as many. Which expression shows how many balloons the friend has? (a) k + 7 (b) k − 7 (c) 7k (d) k ÷ 7
29. 29.Solve: 4n = 64. What is n?
30. 30.Find the value of 9a + 4b when a = 9 and b = 4.
31. 31.Solve: x ÷ 4 = 12. What is x?
32. 32.Solve: 6p = 6. What is p?
33. 33.Kabir has n kites. A friend has 2 more. Which expression shows how many kites the friend has? (a) 2n (b) n ÷ 2 (c) n − 2 (d) n + 2
34. 34.Gurpreet shares n laddoos equally among 2 friends. Which expression shows how many laddoos each friend gets? (a) n − 2 (b) n + 2 (c) 2n (d) n ÷ 2
35. 35.Find the value of 3x − 5 when x = 3.
36. 36.Solve: y + 3 = 16. What is y?
37. 37.Solve: x + 8 = 26. What is x?
38. 38.Solve: t ÷ 4 = 1. What is t?
39. 39.Joseph has n mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) n + 3 (b) n ÷ 3 (c) n − 3 (d) 3n
40. 40.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?

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