Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 268 · 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 3a + 5b when a = 3 and b = 8.
2. 2.Find the value of 6n − 16 when n = 9.
3. 3.Find the value of 7m + 10 when m = 7.
4. 4.Find the value of 4a + 7b when a = 8 and b = 9.
5. 5.Solve: p ÷ 7 = 12. What is p?
6. 6.Vivaan has n mangoes. A friend has 8 more. Which expression shows how many mangoes the friend has? (a) n ÷ 8 (b) 8n (c) n − 8 (d) n + 8
7. 7.Find the value of 8m + 2 when m = 1.
8. 8.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
9. 9.Solve: y + 5 = 25. What is y?
10. 10.Solve: n ÷ 9 = 4. What is n?
11. 11.Find the value of 9t − 101 when t = 12.
12. 12.Find the value of 3a + 6b when a = 1 and b = 5.
13. 13.Vivaan has n flowers. A friend has 9 fewer. Which expression shows how many flowers the friend has? (a) n + 9 (b) 9n (c) n ÷ 9 (d) n − 9
14. 14.Find the value of 9a + 8b when a = 10 and b = 10.
15. 15.Saanvi has p crayons. A friend has 8 more. Which expression shows how many crayons the friend has? (a) p ÷ 8 (b) 8p (c) p − 8 (d) p + 8
16. 16.Find the value of 4n − 31 when n = 11.
17. 17.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
18. 18.Find the value of 8m − 2 when m = 5.
19. 19.Solve: x − 3 = 18. What is x?
20. 20.Find the value of 9y − 14 when y = 2.
21. 21.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
22. 22.Solve: n ÷ 3 = 3. What is n?
23. 23.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
24. 24.Solve: y + 10 = 27. What is y?
25. 25.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
26. 26.Find the value of 4a + 2b when a = 3 and b = 3.
27. 27.Find the value of 6y − 16 when y = 5.
28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
29. 29.Solve: m − 11 = 16. What is m?
30. 30.Solve: t + 8 = 13. What is t?
31. 31.Solve: t + 2 = 14. What is t?
32. 32.Find the value of 3x − 8 when x = 3.
33. 33.Find the value of 4a + 8b when a = 2 and b = 2.
34. 34.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 18 letters?
35. 35.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
36. 36.Find the value of 4a + 6b when a = 8 and b = 6.
37. 37.Kabir has n balls. A friend has 3 times as many. Which expression shows how many balls the friend has? (a) n ÷ 3 (b) n + 3 (c) n − 3 (d) 3n
38. 38.Priya shares m marbles equally among 7 friends. Which expression shows how many marbles each friend gets? (a) m + 7 (b) 7m (c) m − 7 (d) m ÷ 7
39. 39.Meera shares k kites equally among 7 friends. Which expression shows how many kites each friend gets? (a) k + 7 (b) k − 7 (c) 7k (d) k ÷ 7
40. 40.Find the value of 9y + 18 when y = 1.

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