Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 293 · 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 8a + 4b when a = 2 and b = 1.
2. 2.Solve: 11m = 44. What is m?
3. 3.Pooja has p pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) p + 6 (b) p ÷ 6 (c) 6p (d) p − 6
4. 4.Find the value of 9t − 6 when t = 9.
5. 5.Vivaan has p balls. A friend has 9 more. Which expression shows how many balls the friend has? (a) 9p (b) p − 9 (c) p + 9 (d) p ÷ 9
6. 6.Solve: 9p = 72. What is p?
7. 7.Solve: 12m = 156. What is m?
8. 8.Find the value of 2m − 7 when m = 4.
9. 9.Aarav has p balls. A friend has 4 times as many. Which expression shows how many balls the friend has? (a) 4p (b) p ÷ 4 (c) p − 4 (d) p + 4
10. 10.Aditya has n balls. A friend has 3 times as many. Which expression shows how many balls the friend has? (a) n − 3 (b) 3n (c) n + 3 (d) n ÷ 3
11. 11.Rahul has p shells. A friend has 9 more. Which expression shows how many shells the friend has? (a) p ÷ 9 (b) 9p (c) p − 9 (d) p + 9
12. 12.Tara has p mangoes. A friend has 7 fewer. Which expression shows how many mangoes the friend has? (a) 7p (b) p + 7 (c) p ÷ 7 (d) p − 7
13. 13.Solve: x − 12 = 9. What is x?
14. 14.Lakshmi has m balloons. A friend has 2 fewer. Which expression shows how many balloons the friend has? (a) m + 2 (b) m ÷ 2 (c) 2m (d) m − 2
15. 15.Kabir shares n kites equally among 8 friends. Which expression shows how many kites each friend gets? (a) 8n (b) n + 8 (c) n − 8 (d) n ÷ 8
16. 16.Find the value of 3a + 4b when a = 4 and b = 6.
17. 17.Solve: p ÷ 5 = 8. What is p?
18. 18.Find the value of 9a + 9b when a = 1 and b = 2.
19. 19.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
20. 20.Find the value of 8a + 9b when a = 3 and b = 8.
21. 21.Sneha shares n laddoos equally among 7 friends. Which expression shows how many laddoos each friend gets? (a) n − 7 (b) 7n (c) n + 7 (d) n ÷ 7
22. 22.Find the value of 6x + 10 when x = 1.
23. 23.Solve: n + 10 = 29. What is n?
24. 24.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
25. 25.Solve: 8n = 104. What is n?
26. 26.Find the value of 8n + 10 when n = 1.
27. 27.Solve: m + 3 = 15. What is m?
28. 28.Find the value of 8a + 5b when a = 10 and b = 6.
29. 29.Find the value of 9t − 20 when t = 3.
30. 30.Joseph has k marbles. A friend has 9 fewer. Which expression shows how many marbles the friend has? (a) 9k (b) k + 9 (c) k − 9 (d) k ÷ 9
31. 31.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
32. 32.Find the value of 8n − 20 when n = 10.
33. 33.Find the value of 6y − 26 when y = 10.
34. 34.Ananya has m balls. A friend has 3 more. Which expression shows how many balls the friend has? (a) m − 3 (b) m ÷ 3 (c) m + 3 (d) 3m
35. 35.Find the value of 9y + 16 when y = 7.
36. 36.Aarav shares m mangoes equally among 9 friends. Which expression shows how many mangoes each friend gets? (a) m + 9 (b) 9m (c) m − 9 (d) m ÷ 9
37. 37.Solve: y + 6 = 26. What is y?
38. 38.Find the value of 9a + 6b when a = 1 and b = 6.
39. 39.Arjun has k marbles. A friend has 2 more. Which expression shows how many marbles the friend has? (a) k ÷ 2 (b) k + 2 (c) k − 2 (d) 2k
40. 40.Find the value of 3m − 25 when m = 9.

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