Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 155 · 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 7y + 10 when y = 2.
2. 2.Find the value of 6a + 6b when a = 4 and b = 10.
3. 3.Solve: y ÷ 7 = 1. What is y?
4. 4.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
5. 5.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
6. 6.Rohan has k mangoes. A friend has 3 fewer. Which expression shows how many mangoes the friend has? (a) k + 3 (b) 3k (c) k − 3 (d) k ÷ 3
7. 7.Rohan has m crayons. A friend has 5 times as many. Which expression shows how many crayons the friend has? (a) m − 5 (b) 5m (c) m + 5 (d) m ÷ 5
8. 8.Meera has p crayons. A friend has 6 fewer. Which expression shows how many crayons the friend has? (a) p + 6 (b) 6p (c) p ÷ 6 (d) p − 6
9. 9.Farhan has n balls. A friend has 6 times as many. Which expression shows how many balls the friend has? (a) n + 6 (b) 6n (c) n ÷ 6 (d) n − 6
10. 10.Find the value of 3a + 6b when a = 5 and b = 7.
11. 11.Find the value of 5x − 5 when x = 11.
12. 12.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
13. 13.Lakshmi has m balls. A friend has 5 fewer. Which expression shows how many balls the friend has? (a) m + 5 (b) 5m (c) m − 5 (d) m ÷ 5
14. 14.Find the value of 2a + 5b when a = 1 and b = 3.
15. 15.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
16. 16.Find the value of 3m + 2 when m = 9.
17. 17.Find the value of 2a + 8b when a = 6 and b = 6.
18. 18.Solve: t ÷ 2 = 4. What is t?
19. 19.Solve: t + 3 = 8. What is t?
20. 20.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
21. 21.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
22. 22.Find the value of 2m − 2 when m = 5.
23. 23.Find the value of 7a + 4b when a = 8 and b = 3.
24. 24.Solve: t − 4 = 1. What is t?
25. 25.Nisha shares n kites equally among 5 friends. Which expression shows how many kites each friend gets? (a) 5n (b) n − 5 (c) n + 5 (d) n ÷ 5
26. 26.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
27. 27.Find the value of 2a + 7b when a = 1 and b = 2.
28. 28.Solve: x ÷ 2 = 13. What is x?
29. 29.Find the value of 5a + 2b when a = 3 and b = 5.
30. 30.Find the value of 2y + 9 when y = 2.
31. 31.Find the value of 7a + 2b when a = 2 and b = 7.
32. 32.Find the value of 3a + 4b when a = 2 and b = 5.
33. 33.Find the value of 6m + 4 when m = 1.
34. 34.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
35. 35.Find the value of 9t − 21 when t = 6.
36. 36.Solve: 5t = 35. What is t?
37. 37.Find the value of 5m + 19 when m = 6.
38. 38.Nisha has p shells. A friend has 9 times as many. Which expression shows how many shells the friend has? (a) p ÷ 9 (b) 9p (c) p − 9 (d) p + 9
39. 39.Solve: y ÷ 4 = 12. What is y?
40. 40.Find the value of 3m + 1 when m = 11.

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