Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 321 · 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.Solve: 2y = 4. What is y?
2. 2.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
3. 3.Solve: n + 2 = 6. What is n?
4. 4.Solve: n ÷ 6 = 13. What is n?
5. 5.Find the value of 6t + 5 when t = 6.
6. 6.Find the value of 5x − 22 when x = 5.
7. 7.Solve: 7t = 56. What is t?
8. 8.Find the value of 6a + 5b when a = 7 and b = 4.
9. 9.Solve: 11y = 44. What is y?
10. 10.Find the value of 5a + 4b when a = 5 and b = 10.
11. 11.Priya has p bananas. A friend has 8 more. Which expression shows how many bananas the friend has? (a) p − 8 (b) p + 8 (c) p ÷ 8 (d) 8p
12. 12.Find the value of 9a + 2b when a = 2 and b = 6.
13. 13.Solve: n − 10 = 1. What is n?
14. 14.Solve: x − 12 = 2. What is x?
15. 15.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
16. 16.Solve: m ÷ 9 = 1. What is m?
17. 17.Find the value of 2a + 7b when a = 3 and b = 1.
18. 18.Solve: 11x = 209. What is x?
19. 19.Gurpreet shares m crayons equally among 7 friends. Which expression shows how many crayons each friend gets? (a) 7m (b) m − 7 (c) m ÷ 7 (d) m + 7
20. 20.Find the value of 2x + 4 when x = 2.
21. 21.Find the value of 6a + 9b when a = 3 and b = 6.
22. 22.Find the value of 5m + 14 when m = 6.
23. 23.Find the value of 9a + 4b when a = 4 and b = 4.
24. 24.Lakshmi shares k pencils equally among 7 friends. Which expression shows how many pencils each friend gets? (a) k + 7 (b) 7k (c) k ÷ 7 (d) k − 7
25. 25.Aarav has k kites. A friend has 5 more. Which expression shows how many kites the friend has? (a) k + 5 (b) k ÷ 5 (c) k − 5 (d) 5k
26. 26.Solve: x ÷ 10 = 14. What is x?
27. 27.Rohan has p mangoes. A friend has 5 more. Which expression shows how many mangoes the friend has? (a) p + 5 (b) 5p (c) p ÷ 5 (d) p − 5
28. 28.Solve: n + 9 = 23. What is n?
29. 29.Farhan has p marbles. A friend has 3 fewer. Which expression shows how many marbles the friend has? (a) p + 3 (b) p − 3 (c) 3p (d) p ÷ 3
30. 30.Priya has p laddoos. A friend has 3 times as many. Which expression shows how many laddoos the friend has? (a) p − 3 (b) p + 3 (c) 3p (d) p ÷ 3
31. 31.Find the value of 2a + 5b when a = 10 and b = 7.
32. 32.Priya has k books. A friend has 6 more. Which expression shows how many books the friend has? (a) 6k (b) k ÷ 6 (c) k − 6 (d) k + 6
33. 33.Find the value of 3y − 4 when y = 2.
34. 34.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
35. 35.Find the value of 2a + 8b when a = 9 and b = 3.
36. 36.Gurpreet has n pencils. A friend has 7 more. Which expression shows how many pencils the friend has? (a) n + 7 (b) n − 7 (c) n ÷ 7 (d) 7n
37. 37.Riya shares m balls equally among 4 friends. Which expression shows how many balls each friend gets? (a) m − 4 (b) 4m (c) m ÷ 4 (d) m + 4
38. 38.Solve: n + 6 = 17. What is n?
39. 39.Find the value of 7y + 7 when y = 11.
40. 40.Find the value of 8a + 9b when a = 9 and b = 5.

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