Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 255 · 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 9 letters?
2. 2.Find the value of 8n − 32 when n = 5.
3. 3.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
4. 4.Find the value of 2a + 6b when a = 7 and b = 2.
5. 5.Find the value of 7a + 9b when a = 1 and b = 3.
6. 6.Solve: t ÷ 9 = 19. What is t?
7. 7.Find the value of 9y + 2 when y = 11.
8. 8.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 10 letters?
9. 9.Solve: y ÷ 3 = 7. What is y?
10. 10.Find the value of 9a + 8b when a = 2 and b = 7.
11. 11.Find the value of 8a + 3b when a = 6 and b = 2.
12. 12.Kabir has n kites. A friend has 9 fewer. Which expression shows how many kites the friend has? (a) 9n (b) n − 9 (c) n ÷ 9 (d) n + 9
13. 13.Solve: y ÷ 2 = 7. What is y?
14. 14.Find the value of 9n + 10 when n = 7.
15. 15.Farhan has p books. A friend has 7 more. Which expression shows how many books the friend has? (a) 7p (b) p − 7 (c) p + 7 (d) p ÷ 7
16. 16.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
17. 17.Find the value of 3a + 8b when a = 2 and b = 8.
18. 18.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
19. 19.Find the value of 6a + 9b when a = 3 and b = 4.
20. 20.Rohan has n balloons. A friend has 6 fewer. Which expression shows how many balloons the friend has? (a) 6n (b) n − 6 (c) n ÷ 6 (d) n + 6
21. 21.Riya has m balls. A friend has 8 fewer. Which expression shows how many balls the friend has? (a) m + 8 (b) m − 8 (c) 8m (d) m ÷ 8
22. 22.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
23. 23.Find the value of 3a + 5b when a = 1 and b = 3.
24. 24.Isha has n laddoos. A friend has 2 more. Which expression shows how many laddoos the friend has? (a) n − 2 (b) n + 2 (c) 2n (d) n ÷ 2
25. 25.Find the value of 3n − 1 when n = 3.
26. 26.Find the value of 3a + 4b when a = 3 and b = 2.
27. 27.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
29. 29.Aditya has m balloons. A friend has 2 fewer. Which expression shows how many balloons the friend has? (a) 2m (b) m + 2 (c) m − 2 (d) m ÷ 2
30. 30.Find the value of 7t − 4 when t = 6.
31. 31.Find the value of 8a + 3b when a = 4 and b = 2.
32. 32.Find the value of 4m + 9 when m = 1.
33. 33.Joseph has p balls. A friend has 5 fewer. Which expression shows how many balls the friend has? (a) 5p (b) p − 5 (c) p + 5 (d) p ÷ 5
34. 34.Zoya has m pencils. A friend has 9 times as many. Which expression shows how many pencils the friend has? (a) m ÷ 9 (b) m − 9 (c) 9m (d) m + 9
35. 35.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 7 letters?
36. 36.Solve: y + 5 = 16. What is y?
37. 37.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
38. 38.Find the value of 3p − 2 when p = 6.
39. 39.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?
40. 40.Find the value of 2y − 8 when y = 6.

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