Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 443 · 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 2a + 4b when a = 8 and b = 9.
2. 2.Vivaan has n shells. A friend has 6 times as many. Which expression shows how many shells the friend has? (a) n − 6 (b) n ÷ 6 (c) n + 6 (d) 6n
3. 3.Saanvi has k kites. A friend has 8 fewer. Which expression shows how many kites the friend has? (a) k + 8 (b) k − 8 (c) 8k (d) k ÷ 8
4. 4.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
5. 5.Find the value of 9a + 5b when a = 2 and b = 6.
6. 6.Solve: x ÷ 8 = 3. What is x?
7. 7.Solve: y + 8 = 11. What is y?
8. 8.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
9. 9.Find the value of 9y − 24 when y = 5.
10. 10.Gurpreet has m pencils. A friend has 7 fewer. Which expression shows how many pencils the friend has? (a) m + 7 (b) m − 7 (c) m ÷ 7 (d) 7m
11. 11.Solve: y − 2 = 2. What is y?
12. 12.Find the value of 3a + 4b when a = 5 and b = 2.
13. 13.Solve: y + 9 = 24. What is y?
14. 14.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
15. 15.Solve: n ÷ 11 = 12. What is n?
16. 16.Find the value of 2y + 7 when y = 2.
17. 17.Find the value of 9n + 7 when n = 10.
18. 18.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
19. 19.Solve: p − 4 = 16. What is p?
20. 20.Rahul shares n balloons equally among 2 friends. Which expression shows how many balloons each friend gets? (a) n ÷ 2 (b) n + 2 (c) n − 2 (d) 2n
21. 21.Solve: 7t = 49. What is t?
22. 22.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
23. 23.Find the value of 8a + 5b when a = 8 and b = 5.
24. 24.Find the value of 2a + 8b when a = 5 and b = 7.
25. 25.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
26. 26.Find the value of 4a + 3b when a = 1 and b = 7.
27. 27.Find the value of 3a + 7b when a = 1 and b = 4.
28. 28.Saanvi has k kites. A friend has 5 more. Which expression shows how many kites the friend has? (a) k + 5 (b) k − 5 (c) k ÷ 5 (d) 5k
29. 29.Solve: x − 5 = 14. What is x?
30. 30.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
31. 31.Find the value of 8a + 6b when a = 1 and b = 5.
32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
33. 33.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
34. 34.Find the value of 6a + 3b when a = 3 and b = 9.
35. 35.Ananya has k crayons. A friend has 3 fewer. Which expression shows how many crayons the friend has? (a) k ÷ 3 (b) k − 3 (c) 3k (d) k + 3
36. 36.Find the value of 7p − 15 when p = 4.
37. 37.Find the value of 3a + 9b when a = 3 and b = 5.
38. 38.Find the value of 3x − 23 when x = 12.
39. 39.Find the value of 8a + 4b when a = 10 and b = 2.
40. 40.Find the value of 5n − 25 when n = 6.

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