Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 212 · 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.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
2. 2.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
3. 3.Riya has m pencils. A friend has 5 fewer. Which expression shows how many pencils the friend has? (a) m ÷ 5 (b) m − 5 (c) 5m (d) m + 5
4. 4.Solve: m − 10 = 4. What is m?
5. 5.Solve: 10p = 160. What is p?
6. 6.Find the value of 2x − 2 when x = 2.
7. 7.Find the value of 7a + 6b when a = 10 and b = 6.
8. 8.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
9. 9.Find the value of 2a + 2b when a = 2 and b = 3.
10. 10.Find the value of 9n + 14 when n = 1.
11. 11.Riya shares n marbles equally among 3 friends. Which expression shows how many marbles each friend gets? (a) n + 3 (b) n ÷ 3 (c) n − 3 (d) 3n
12. 12.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
13. 13.Solve: m + 12 = 13. What is m?
14. 14.Find the value of 2n + 18 when n = 2.
15. 15.Rahul has n books. A friend has 3 fewer. Which expression shows how many books the friend has? (a) 3n (b) n ÷ 3 (c) n + 3 (d) n − 3
16. 16.Find the value of 3a + 7b when a = 2 and b = 8.
17. 17.Find the value of 3a + 6b when a = 1 and b = 6.
18. 18.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
19. 19.Joseph has m laddoos. A friend has 6 more. Which expression shows how many laddoos the friend has? (a) m − 6 (b) 6m (c) m ÷ 6 (d) m + 6
20. 20.Solve: n + 7 = 10. What is n?
21. 21.Saanvi has p books. A friend has 5 times as many. Which expression shows how many books the friend has? (a) p ÷ 5 (b) 5p (c) p + 5 (d) p − 5
22. 22.Solve: 4m = 40. What is m?
23. 23.Find the value of 7a + 2b when a = 7 and b = 4.
24. 24.Find the value of 4p − 42 when p = 11.
25. 25.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
26. 26.Find the value of 6p + 12 when p = 7.
27. 27.Arjun has k kites. A friend has 5 fewer. Which expression shows how many kites the friend has? (a) k + 5 (b) 5k (c) k ÷ 5 (d) k − 5
28. 28.Solve: m ÷ 12 = 10. What is m?
29. 29.Lakshmi has k pencils. A friend has 9 times as many. Which expression shows how many pencils the friend has? (a) k − 9 (b) 9k (c) k ÷ 9 (d) k + 9
30. 30.Find the value of 6n + 16 when n = 5.
31. 31.Solve: 2n = 10. What is n?
32. 32.Solve: 4p = 16. What is p?
33. 33.Solve: y + 5 = 9. What is y?
34. 34.Find the value of 9a + 9b when a = 10 and b = 8.
35. 35.Solve: p ÷ 7 = 18. What is p?
36. 36.Find the value of 7a + 6b when a = 1 and b = 1.
37. 37.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 16 letters?
38. 38.Solve: p ÷ 11 = 12. What is p?
39. 39.Solve: p ÷ 3 = 8. What is p?
40. 40.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?

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