Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 562 · 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.Find the value of 9t − 19 when t = 5.
2. 2.Find the value of 4a + 4b when a = 9 and b = 3.
3. 3.Find the value of 7y + 12 when y = 5.
4. 4.Find the value of 3n − 7 when n = 9.
5. 5.Solve: m ÷ 3 = 12. What is m?
6. 6.Nisha has n crayons. A friend has 5 fewer. Which expression shows how many crayons the friend has? (a) n + 5 (b) 5n (c) n − 5 (d) n ÷ 5
7. 7.Find the value of 8x + 14 when x = 12.
8. 8.Vivaan has k pencils. A friend has 4 more. Which expression shows how many pencils the friend has? (a) k − 4 (b) k ÷ 4 (c) 4k (d) k + 4
9. 9.Find the value of 4y + 19 when y = 6.
10. 10.Find the value of 3m + 9 when m = 8.
11. 11.Solve: x ÷ 8 = 2. What is x?
12. 12.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
13. 13.Solve: x + 6 = 21. What is x?
14. 14.Find the value of 4n + 16 when n = 2.
15. 15.Find the value of 2n + 19 when n = 9.
16. 16.Find the value of 9t − 22 when t = 3.
17. 17.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
18. 18.Solve: n ÷ 6 = 2. What is n?
19. 19.Solve: x + 3 = 16. What is x?
20. 20.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
21. 21.Isha has k kites. A friend has 2 fewer. Which expression shows how many kites the friend has? (a) k + 2 (b) 2k (c) k − 2 (d) k ÷ 2
22. 22.Rohan has k pencils. A friend has 3 more. Which expression shows how many pencils the friend has? (a) k + 3 (b) k ÷ 3 (c) k − 3 (d) 3k
23. 23.Find the value of 7a + 3b when a = 5 and b = 8.
24. 24.Joseph shares p bananas equally among 2 friends. Which expression shows how many bananas each friend gets? (a) p − 2 (b) p + 2 (c) p ÷ 2 (d) 2p
25. 25.Solve: n − 6 = 17. What is n?
26. 26.Solve: m ÷ 12 = 11. What is m?
27. 27.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 24 letters?
28. 28.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
29. 29.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
30. 30.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
31. 31.Find the value of 5m + 11 when m = 8.
32. 32.Find the value of 8x + 20 when x = 4.
33. 33.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 10 letters?
34. 34.Riya shares k pencils equally among 8 friends. Which expression shows how many pencils each friend gets? (a) 8k (b) k ÷ 8 (c) k + 8 (d) k − 8
35. 35.Find the value of 3y + 7 when y = 1.
36. 36.Find the value of 5a + 4b when a = 1 and b = 8.
37. 37.Find the value of 2p + 19 when p = 6.
38. 38.Find the value of 7t + 10 when t = 5.
39. 39.Isha shares k balls equally among 3 friends. Which expression shows how many balls each friend gets? (a) 3k (b) k − 3 (c) k ÷ 3 (d) k + 3
40. 40.Find the value of 9a + 8b when a = 9 and b = 1.

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