Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 521 · 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 U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
2. 2.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
3. 3.Solve: y ÷ 6 = 9. What is y?
4. 4.Kavya has k books. A friend has 4 more. Which expression shows how many books the friend has? (a) k ÷ 4 (b) 4k (c) k − 4 (d) k + 4
5. 5.Find the value of 4p − 1 when p = 1.
6. 6.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
7. 7.Find the value of 7t + 3 when t = 10.
8. 8.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
9. 9.Find the value of 4a + 3b when a = 1 and b = 5.
10. 10.Find the value of 4y + 1 when y = 4.
11. 11.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
12. 12.Diya shares p pencils equally among 2 friends. Which expression shows how many pencils each friend gets? (a) 2p (b) p ÷ 2 (c) p − 2 (d) p + 2
13. 13.Find the value of 7a + 9b when a = 2 and b = 8.
14. 14.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
15. 15.Kabir has m books. A friend has 9 fewer. Which expression shows how many books the friend has? (a) m + 9 (b) m ÷ 9 (c) m − 9 (d) 9m
16. 16.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
17. 17.Diya shares n bananas equally among 2 friends. Which expression shows how many bananas each friend gets? (a) n ÷ 2 (b) n − 2 (c) n + 2 (d) 2n
18. 18.Find the value of 5a + 8b when a = 1 and b = 2.
19. 19.Find the value of 5n − 1 when n = 1.
20. 20.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
21. 21.Joseph shares k pencils equally among 2 friends. Which expression shows how many pencils each friend gets? (a) k ÷ 2 (b) k − 2 (c) k + 2 (d) 2k
22. 22.Find the value of 2x − 3 when x = 6.
23. 23.Find the value of 3t + 13 when t = 3.
24. 24.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
25. 25.Solve: t + 11 = 28. What is t?
26. 26.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
27. 27.Solve: y ÷ 8 = 7. What is y?
28. 28.Solve: x ÷ 6 = 17. What is x?
29. 29.Find the value of 6a + 2b when a = 4 and b = 6.
30. 30.Solve: x + 2 = 22. What is x?
31. 31.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
32. 32.Find the value of 8y + 16 when y = 6.
33. 33.Solve: 11t = 143. What is t?
34. 34.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
35. 35.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
36. 36.Solve: y + 3 = 17. What is y?
37. 37.Find the value of 3x − 23 when x = 9.
38. 38.Find the value of 9p − 83 when p = 11.
39. 39.Find the value of 8x − 15 when x = 8.
40. 40.Find the value of 3m + 9 when m = 6.

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