Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 368 · 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 5x − 39 when x = 10.
2. 2.Aarav shares m marbles equally among 7 friends. Which expression shows how many marbles each friend gets? (a) m + 7 (b) m − 7 (c) m ÷ 7 (d) 7m
3. 3.Find the value of 3a + 7b when a = 8 and b = 1.
4. 4.Solve: p + 3 = 5. What is p?
5. 5.Find the value of 5t − 10 when t = 3.
6. 6.Saanvi has k kites. A friend has 4 more. Which expression shows how many kites the friend has? (a) 4k (b) k ÷ 4 (c) k − 4 (d) k + 4
7. 7.Find the value of 8p − 50 when p = 10.
8. 8.Solve: 11p = 66. What is p?
9. 9.Find the value of 2a + 5b when a = 10 and b = 2.
10. 10.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
11. 11.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
12. 12.Solve: y − 8 = 9. What is y?
13. 13.Solve: n + 2 = 21. What is n?
14. 14.Sneha has m flowers. A friend has 3 times as many. Which expression shows how many flowers the friend has? (a) m ÷ 3 (b) m + 3 (c) m − 3 (d) 3m
15. 15.Saanvi has p kites. A friend has 6 fewer. Which expression shows how many kites the friend has? (a) p − 6 (b) p + 6 (c) 6p (d) p ÷ 6
16. 16.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
17. 17.Find the value of 3n − 7 when n = 4.
18. 18.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
19. 19.Find the value of 7t − 10 when t = 2.
20. 20.Find the value of 5a + 7b when a = 6 and b = 6.
21. 21.Kabir has m books. A friend has 4 times as many. Which expression shows how many books the friend has? (a) m − 4 (b) m + 4 (c) 4m (d) m ÷ 4
22. 22.Find the value of 7a + 3b when a = 5 and b = 7.
23. 23.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
24. 24.Find the value of 2a + 9b when a = 8 and b = 9.
25. 25.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
26. 26.Solve: n − 3 = 2. What is n?
27. 27.Find the value of 6a + 8b when a = 4 and b = 1.
28. 28.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
29. 29.Vivaan has p bananas. A friend has 8 more. Which expression shows how many bananas the friend has? (a) 8p (b) p + 8 (c) p ÷ 8 (d) p − 8
30. 30.Find the value of 5m + 1 when m = 2.
31. 31.Tara has k mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) k + 3 (b) k − 3 (c) 3k (d) k ÷ 3
32. 32.Find the value of 7y − 4 when y = 7.
33. 33.Vivaan shares n flowers equally among 4 friends. Which expression shows how many flowers each friend gets? (a) n − 4 (b) n ÷ 4 (c) n + 4 (d) 4n
34. 34.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
35. 35.Meera has k balls. A friend has 5 fewer. Which expression shows how many balls the friend has? (a) k ÷ 5 (b) k + 5 (c) 5k (d) k − 5
36. 36.Find the value of 2a + 7b when a = 3 and b = 6.
37. 37.Find the value of 6x + 11 when x = 1.
38. 38.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
39. 39.Find the value of 6y − 7 when y = 4.
40. 40.Find the value of 9a + 3b when a = 3 and b = 4.

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