Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 403 · 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 E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
2. 2.Kavya shares k books equally among 7 friends. Which expression shows how many books each friend gets? (a) 7k (b) k − 7 (c) k ÷ 7 (d) k + 7
3. 3.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
4. 4.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
5. 5.Find the value of 2a + 5b when a = 7 and b = 3.
6. 6.Solve: y + 4 = 21. What is y?
7. 7.Find the value of 8m + 6 when m = 12.
8. 8.Gurpreet has m bananas. A friend has 8 more. Which expression shows how many bananas the friend has? (a) m ÷ 8 (b) m − 8 (c) m + 8 (d) 8m
9. 9.Find the value of 9a + 7b when a = 6 and b = 4.
10. 10.Find the value of 9p − 101 when p = 12.
11. 11.Find the value of 5a + 5b when a = 1 and b = 10.
12. 12.Find the value of 6x + 18 when x = 6.
13. 13.Solve: y + 12 = 21. What is y?
14. 14.Find the value of 2a + 9b when a = 1 and b = 6.
15. 15.Find the value of 3a + 3b when a = 1 and b = 9.
16. 16.Find the value of 2y + 20 when y = 2.
17. 17.Pooja shares n kites equally among 9 friends. Which expression shows how many kites each friend gets? (a) n + 9 (b) n − 9 (c) n ÷ 9 (d) 9n
18. 18.Find the value of 6a + 2b when a = 5 and b = 4.
19. 19.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
20. 20.Sneha shares m marbles equally among 3 friends. Which expression shows how many marbles each friend gets? (a) m − 3 (b) m ÷ 3 (c) 3m (d) m + 3
21. 21.Find the value of 2a + 3b when a = 9 and b = 2.
22. 22.Find the value of 4x − 6 when x = 5.
23. 23.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
24. 24.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
25. 25.Diya has k books. A friend has 2 times as many. Which expression shows how many books the friend has? (a) k + 2 (b) 2k (c) k ÷ 2 (d) k − 2
26. 26.Solve: 3y = 24. What is y?
27. 27.Find the value of 4a + 3b when a = 2 and b = 2.
28. 28.Meera has p mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) p ÷ 3 (b) p + 3 (c) 3p (d) p − 3
29. 29.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
30. 30.Find the value of 6a + 2b when a = 6 and b = 10.
31. 31.Arjun has k laddoos. A friend has 8 fewer. Which expression shows how many laddoos the friend has? (a) k + 8 (b) k − 8 (c) 8k (d) k ÷ 8
32. 32.Find the value of 3a + 2b when a = 10 and b = 3.
33. 33.Solve: t ÷ 4 = 19. What is t?
34. 34.Find the value of 7a + 5b when a = 10 and b = 4.
35. 35.Solve: x + 3 = 11. What is x?
36. 36.Kabir has k bananas. A friend has 6 more. Which expression shows how many bananas the friend has? (a) k + 6 (b) k ÷ 6 (c) k − 6 (d) 6k
37. 37.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
38. 38.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
39. 39.Solve: t − 9 = 13. What is t?
40. 40.Find the value of 3y + 13 when y = 5.

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