Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 507 · 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 5a + 9b when a = 3 and b = 5.
2. 2.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
3. 3.Find the value of 5a + 3b when a = 5 and b = 2.
4. 4.Karan shares k balls equally among 9 friends. Which expression shows how many balls each friend gets? (a) k ÷ 9 (b) k + 9 (c) k − 9 (d) 9k
5. 5.Solve: p − 9 = 10. What is p?
6. 6.Find the value of 2t + 18 when t = 1.
7. 7.Solve: 3m = 30. What is m?
8. 8.Find the value of 3x − 28 when x = 11.
9. 9.Find the value of 4m + 17 when m = 5.
10. 10.Find the value of 3a + 8b when a = 3 and b = 8.
11. 11.Find the value of 8p − 3 when p = 6.
12. 12.Rohan has k books. A friend has 4 fewer. Which expression shows how many books the friend has? (a) k + 4 (b) 4k (c) k − 4 (d) k ÷ 4
13. 13.Aditya has n balls. A friend has 9 times as many. Which expression shows how many balls the friend has? (a) n + 9 (b) n − 9 (c) 9n (d) n ÷ 9
14. 14.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
15. 15.Solve: p − 10 = 15. What is p?
16. 16.Ananya has k crayons. A friend has 8 fewer. Which expression shows how many crayons the friend has? (a) k ÷ 8 (b) 8k (c) k − 8 (d) k + 8
17. 17.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
18. 18.Solve: 7n = 98. What is n?
19. 19.Solve: 6n = 24. What is n?
20. 20.Ishaan has m marbles. A friend has 4 fewer. Which expression shows how many marbles the friend has? (a) m ÷ 4 (b) m + 4 (c) 4m (d) m − 4
21. 21.Solve: 7m = 35. What is m?
22. 22.Find the value of 6a + 8b when a = 3 and b = 4.
23. 23.Solve: p + 10 = 23. What is p?
24. 24.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
25. 25.Find the value of 3n + 1 when n = 4.
26. 26.Find the value of 7a + 9b when a = 7 and b = 10.
27. 27.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
28. 28.Manav has p flowers. A friend has 6 times as many. Which expression shows how many flowers the friend has? (a) p ÷ 6 (b) 6p (c) p + 6 (d) p − 6
29. 29.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
30. 30.Find the value of 6m − 48 when m = 9.
31. 31.Find the value of 7a + 5b when a = 3 and b = 4.
32. 32.Solve: 3x = 42. What is x?
33. 33.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
34. 34.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
35. 35.Find the value of 5a + 3b when a = 7 and b = 5.
36. 36.Find the value of 9a + 6b when a = 8 and b = 3.
37. 37.Lakshmi has p balloons. A friend has 7 times as many. Which expression shows how many balloons the friend has? (a) 7p (b) p ÷ 7 (c) p − 7 (d) p + 7
38. 38.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 10 letters?
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.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?

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