Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 466 · 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 H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
2. 2.Find the value of 7n + 1 when n = 2.
3. 3.Solve: x − 12 = 4. What is x?
4. 4.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
5. 5.Karan has p flowers. A friend has 2 times as many. Which expression shows how many flowers the friend has? (a) p + 2 (b) 2p (c) p − 2 (d) p ÷ 2
6. 6.Solve: 3y = 30. What is y?
7. 7.Find the value of 4a + 6b when a = 4 and b = 1.
8. 8.Find the value of 3a + 8b when a = 8 and b = 5.
9. 9.Find the value of 6p − 29 when p = 5.
10. 10.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
11. 11.Riya has p balloons. A friend has 5 times as many. Which expression shows how many balloons the friend has? (a) p + 5 (b) p − 5 (c) p ÷ 5 (d) 5p
12. 12.Find the value of 2a + 3b when a = 6 and b = 4.
13. 13.Find the value of 3x − 14 when x = 8.
14. 14.Find the value of 9y − 1 when y = 1.
15. 15.Rahul has n flowers. A friend has 5 fewer. Which expression shows how many flowers the friend has? (a) 5n (b) n ÷ 5 (c) n + 5 (d) n − 5
16. 16.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
17. 17.Find the value of 3a + 4b when a = 9 and b = 9.
18. 18.Find the value of 2a + 2b when a = 10 and b = 7.
19. 19.Meera shares m balloons equally among 8 friends. Which expression shows how many balloons each friend gets? (a) 8m (b) m + 8 (c) m ÷ 8 (d) m − 8
20. 20.Solve: m + 12 = 16. What is m?
21. 21.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
22. 22.Find the value of 9y + 20 when y = 1.
23. 23.Find the value of 3m − 4 when m = 3.
24. 24.Find the value of 2x + 5 when x = 1.
25. 25.Find the value of 5p − 12 when p = 8.
26. 26.Dev shares k mangoes equally among 7 friends. Which expression shows how many mangoes each friend gets? (a) 7k (b) k − 7 (c) k ÷ 7 (d) k + 7
27. 27.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
28. 28.Zoya has k balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) k + 6 (b) k ÷ 6 (c) k − 6 (d) 6k
29. 29.Find the value of 3a + 8b when a = 6 and b = 10.
30. 30.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
31. 31.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
32. 32.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
33. 33.Find the value of 7n + 7 when n = 5.
34. 34.Solve: x − 5 = 13. What is x?
35. 35.Find the value of 4a + 6b when a = 1 and b = 2.
36. 36.Meera has k pencils. A friend has 6 times as many. Which expression shows how many pencils the friend has? (a) k − 6 (b) 6k (c) k + 6 (d) k ÷ 6
37. 37.Solve: x + 2 = 5. What is x?
38. 38.Solve: n + 7 = 12. What is n?
39. 39.Rahul has m flowers. A friend has 3 fewer. Which expression shows how many flowers the friend has? (a) m ÷ 3 (b) 3m (c) m − 3 (d) m + 3
40. 40.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?

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