Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 219 · 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.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
2. 2.Pooja shares p mangoes equally among 3 friends. Which expression shows how many mangoes each friend gets? (a) p + 3 (b) p − 3 (c) p ÷ 3 (d) 3p
3. 3.Sneha has m mangoes. A friend has 9 more. Which expression shows how many mangoes the friend has? (a) 9m (b) m ÷ 9 (c) m − 9 (d) m + 9
4. 4.Find the value of 7t − 4 when t = 1.
5. 5.Solve: x + 6 = 8. What is x?
6. 6.Isha has n marbles. A friend has 3 fewer. Which expression shows how many marbles the friend has? (a) 3n (b) n − 3 (c) n ÷ 3 (d) n + 3
7. 7.Pooja has p pencils. A friend has 6 times as many. Which expression shows how many pencils the friend has? (a) p − 6 (b) p + 6 (c) 6p (d) p ÷ 6
8. 8.Find the value of 7n + 8 when n = 2.
9. 9.Solve: t + 12 = 13. What is t?
10. 10.Find the value of 5x − 10 when x = 7.
11. 11.Find the value of 4m + 20 when m = 10.
12. 12.Aarav shares m marbles equally among 8 friends. Which expression shows how many marbles each friend gets? (a) m + 8 (b) m ÷ 8 (c) 8m (d) m − 8
13. 13.Solve: x ÷ 4 = 1. What is x?
14. 14.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
15. 15.Solve: m ÷ 10 = 4. What is m?
16. 16.Solve: y + 4 = 19. What is y?
17. 17.Meera shares m crayons equally among 4 friends. Which expression shows how many crayons each friend gets? (a) 4m (b) m ÷ 4 (c) m + 4 (d) m − 4
18. 18.Solve: t ÷ 12 = 2. What is t?
19. 19.Solve: t + 7 = 13. What is t?
20. 20.Manav has k bananas. A friend has 7 times as many. Which expression shows how many bananas the friend has? (a) k ÷ 7 (b) 7k (c) k + 7 (d) k − 7
21. 21.Find the value of 8p − 61 when p = 8.
22. 22.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
23. 23.Find the value of 6a + 7b when a = 2 and b = 4.
24. 24.Find the value of 5t + 4 when t = 12.
25. 25.Nisha has p pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) p + 2 (b) 2p (c) p − 2 (d) p ÷ 2
26. 26.Find the value of 3x + 2 when x = 8.
27. 27.Find the value of 8a + 3b when a = 9 and b = 4.
28. 28.Find the value of 2a + 4b when a = 1 and b = 5.
29. 29.Solve: x ÷ 12 = 9. What is x?
30. 30.Farhan shares m balloons equally among 4 friends. Which expression shows how many balloons each friend gets? (a) 4m (b) m ÷ 4 (c) m + 4 (d) m − 4
31. 31.Dev has k balls. A friend has 9 more. Which expression shows how many balls the friend has? (a) k ÷ 9 (b) 9k (c) k + 9 (d) k − 9
32. 32.Find the value of 7p + 8 when p = 2.
33. 33.Find the value of 3n + 3 when n = 8.
34. 34.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
35. 35.Pooja has p balloons. A friend has 8 fewer. Which expression shows how many balloons the friend has? (a) p + 8 (b) p − 8 (c) p ÷ 8 (d) 8p
36. 36.Find the value of 9a + 9b when a = 4 and b = 7.
37. 37.Find the value of 9y + 14 when y = 2.
38. 38.Find the value of 2a + 8b when a = 6 and b = 6.
39. 39.Zoya has n books. A friend has 7 fewer. Which expression shows how many books the friend has? (a) n + 7 (b) n − 7 (c) n ÷ 7 (d) 7n
40. 40.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?

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