Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 462 · 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 2y + 4 when y = 9.
2. 2.Solve: p ÷ 12 = 4. What is p?
3. 3.Find the value of 9x − 2 when x = 3.
4. 4.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
5. 5.Find the value of 6n − 46 when n = 10.
6. 6.Farhan shares n flowers equally among 6 friends. Which expression shows how many flowers each friend gets? (a) n − 6 (b) n ÷ 6 (c) 6n (d) n + 6
7. 7.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
8. 8.Find the value of 2m − 3 when m = 10.
9. 9.Find the value of 5a + 4b when a = 2 and b = 8.
10. 10.Solve: n ÷ 3 = 4. What is n?
11. 11.Find the value of 8t + 15 when t = 8.
12. 12.Find the value of 2t − 16 when t = 12.
13. 13.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
14. 14.Find the value of 2x − 4 when x = 8.
15. 15.Solve: m ÷ 6 = 16. What is m?
16. 16.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
17. 17.Find the value of 5a + 5b when a = 2 and b = 8.
18. 18.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
19. 19.Find the value of 8a + 7b when a = 1 and b = 4.
20. 20.Ishaan has m pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) 6m (b) m − 6 (c) m + 6 (d) m ÷ 6
21. 21.Riya has k shells. A friend has 5 more. Which expression shows how many shells the friend has? (a) k ÷ 5 (b) 5k (c) k + 5 (d) k − 5
22. 22.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
23. 23.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
24. 24.Solve: x ÷ 9 = 19. What is x?
25. 25.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
26. 26.Sneha has n flowers. A friend has 5 times as many. Which expression shows how many flowers the friend has? (a) n + 5 (b) 5n (c) n − 5 (d) n ÷ 5
27. 27.Solve: n + 10 = 16. What is n?
28. 28.Find the value of 6y + 9 when y = 9.
29. 29.Solve: 3y = 18. What is y?
30. 30.Find the value of 4p + 16 when p = 10.
31. 31.Solve: t − 5 = 4. What is t?
32. 32.Find the value of 2m + 6 when m = 1.
33. 33.Find the value of 5y − 9 when y = 3.
34. 34.Joseph has p flowers. A friend has 2 more. Which expression shows how many flowers the friend has? (a) p − 2 (b) p + 2 (c) p ÷ 2 (d) 2p
35. 35.Ananya shares k shells equally among 9 friends. Which expression shows how many shells each friend gets? (a) 9k (b) k ÷ 9 (c) k + 9 (d) k − 9
36. 36.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
37. 37.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
38. 38.Solve: 4t = 4. What is t?
39. 39.Find the value of 4a + 6b when a = 10 and b = 3.
40. 40.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?

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