Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 532 · 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 12 letters?
2. 2.Solve: p − 10 = 10. What is p?
3. 3.Find the value of 2a + 2b when a = 1 and b = 4.
4. 4.Ananya shares k pencils equally among 9 friends. Which expression shows how many pencils each friend gets? (a) k − 9 (b) k ÷ 9 (c) k + 9 (d) 9k
5. 5.Find the value of 2a + 4b when a = 9 and b = 2.
6. 6.Find the value of 2y + 11 when y = 9.
7. 7.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
8. 8.Solve: t − 5 = 12. What is t?
9. 9.Find the value of 3a + 3b when a = 3 and b = 9.
10. 10.Find the value of 2a + 3b when a = 4 and b = 10.
11. 11.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
12. 12.Solve: p + 5 = 19. What is p?
13. 13.Solve: y − 10 = 5. What is y?
14. 14.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
15. 15.Solve: t ÷ 8 = 15. What is t?
16. 16.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
17. 17.Find the value of 9a + 2b when a = 2 and b = 3.
18. 18.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
19. 19.Find the value of 3p − 15 when p = 10.
20. 20.Solve: x − 7 = 4. What is x?
21. 21.Find the value of 7x + 8 when x = 2.
22. 22.Dev has n laddoos. A friend has 6 more. Which expression shows how many laddoos the friend has? (a) 6n (b) n + 6 (c) n ÷ 6 (d) n − 6
23. 23.Find the value of 2a + 8b when a = 6 and b = 10.
24. 24.Find the value of 2a + 4b when a = 1 and b = 5.
25. 25.Find the value of 8a + 5b when a = 8 and b = 10.
26. 26.Find the value of 9m + 1 when m = 10.
27. 27.Solve: 8y = 160. What is y?
28. 28.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
29. 29.Solve: 11y = 11. What is y?
30. 30.Find the value of 4a + 8b when a = 1 and b = 4.
31. 31.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
32. 32.Saanvi has p kites. A friend has 2 fewer. Which expression shows how many kites the friend has? (a) p − 2 (b) p + 2 (c) p ÷ 2 (d) 2p
33. 33.Priya shares p balls equally among 4 friends. Which expression shows how many balls each friend gets? (a) p − 4 (b) p + 4 (c) p ÷ 4 (d) 4p
34. 34.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
35. 35.Riya shares p mangoes equally among 8 friends. Which expression shows how many mangoes each friend gets? (a) p + 8 (b) p − 8 (c) p ÷ 8 (d) 8p
36. 36.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
37. 37.Solve: x + 5 = 8. What is x?
38. 38.Find the value of 9m + 5 when m = 3.
39. 39.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
40. 40.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 25 letters?

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