Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 77 · 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.Solve: n − 11 = 6. What is n?
2. 2.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
3. 3.Find the value of 8n + 4 when n = 12.
4. 4.Arjun has m balloons. A friend has 3 times as many. Which expression shows how many balloons the friend has? (a) m + 3 (b) m − 3 (c) 3m (d) m ÷ 3
5. 5.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
6. 6.Solve: y ÷ 7 = 18. What is y?
7. 7.Find the value of 6n + 15 when n = 2.
8. 8.Kabir has p shells. A friend has 9 fewer. Which expression shows how many shells the friend has? (a) 9p (b) p + 9 (c) p ÷ 9 (d) p − 9
9. 9.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
10. 10.Find the value of 9a + 4b when a = 4 and b = 2.
11. 11.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
12. 12.Ananya has p crayons. A friend has 5 more. Which expression shows how many crayons the friend has? (a) p − 5 (b) 5p (c) p + 5 (d) p ÷ 5
13. 13.Find the value of 3a + 2b when a = 9 and b = 1.
14. 14.Solve: y − 5 = 10. What is y?
15. 15.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
16. 16.Solve: p + 7 = 23. What is p?
17. 17.Solve: 11y = 176. What is y?
18. 18.Find the value of 3n + 2 when n = 1.
19. 19.Solve: p + 5 = 14. What is p?
20. 20.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
21. 21.Solve: 3m = 15. What is m?
22. 22.Tara has k pencils. A friend has 8 more. Which expression shows how many pencils the friend has? (a) k − 8 (b) 8k (c) k ÷ 8 (d) k + 8
23. 23.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
24. 24.Solve: n − 8 = 9. What is n?
25. 25.Solve: y ÷ 2 = 11. What is y?
26. 26.Solve: y ÷ 4 = 3. What is y?
27. 27.Solve: x − 12 = 17. What is x?
28. 28.Farhan shares n pencils equally among 7 friends. Which expression shows how many pencils each friend gets? (a) n − 7 (b) n ÷ 7 (c) n + 7 (d) 7n
29. 29.Find the value of 2m + 14 when m = 12.
30. 30.Solve: 3p = 18. What is p?
31. 31.Find the value of 7y + 9 when y = 8.
32. 32.Find the value of 9a + 3b when a = 8 and b = 4.
33. 33.Solve: m − 3 = 12. What is m?
34. 34.Find the value of 6a + 3b when a = 1 and b = 6.
35. 35.Find the value of 2a + 9b when a = 5 and b = 5.
36. 36.Lakshmi has m shells. A friend has 9 more. Which expression shows how many shells the friend has? (a) m − 9 (b) 9m (c) m + 9 (d) m ÷ 9
37. 37.Find the value of 6m + 8 when m = 4.
38. 38.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
39. 39.Find the value of 8t + 9 when t = 7.
40. 40.Find the value of 3a + 2b when a = 8 and b = 8.

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