Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 508 · 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 5m − 6 when m = 2.
2. 2.Solve: p + 3 = 14. What is p?
3. 3.Find the value of 6x − 9 when x = 12.
4. 4.Solve: x ÷ 3 = 19. What is x?
5. 5.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
6. 6.Solve: x − 6 = 10. What is x?
7. 7.Find the value of 6a + 2b when a = 7 and b = 9.
8. 8.Find the value of 8a + 8b when a = 8 and b = 3.
9. 9.Find the value of 4t − 15 when t = 7.
10. 10.Priya has p flowers. A friend has 4 fewer. Which expression shows how many flowers the friend has? (a) p ÷ 4 (b) 4p (c) p − 4 (d) p + 4
11. 11.Find the value of 3a + 2b when a = 6 and b = 1.
12. 12.Find the value of 3a + 3b when a = 6 and b = 6.
13. 13.Find the value of 7a + 8b when a = 4 and b = 4.
14. 14.Sneha has k flowers. A friend has 3 times as many. Which expression shows how many flowers the friend has? (a) k ÷ 3 (b) k + 3 (c) 3k (d) k − 3
15. 15.Find the value of 6x − 6 when x = 2.
16. 16.Find the value of 4m − 7 when m = 3.
17. 17.Find the value of 6y − 27 when y = 8.
18. 18.Find the value of 6a + 9b when a = 1 and b = 10.
19. 19.Solve: n ÷ 10 = 14. What is n?
20. 20.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
22. 22.Solve: m − 5 = 17. What is m?
23. 23.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
24. 24.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
25. 25.Kabir has m flowers. A friend has 3 times as many. Which expression shows how many flowers the friend has? (a) m + 3 (b) 3m (c) m − 3 (d) m ÷ 3
26. 26.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
27. 27.Find the value of 4p + 15 when p = 7.
28. 28.Zoya has n mangoes. A friend has 2 fewer. Which expression shows how many mangoes the friend has? (a) 2n (b) n ÷ 2 (c) n + 2 (d) n − 2
29. 29.Find the value of 8a + 2b when a = 4 and b = 7.
30. 30.Solve: 2t = 4. What is t?
31. 31.Find the value of 7p + 7 when p = 7.
32. 32.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
33. 33.Find the value of 6m − 6 when m = 2.
34. 34.Find the value of 9a + 6b when a = 2 and b = 4.
35. 35.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?
36. 36.Find the value of 9p − 57 when p = 8.
37. 37.Find the value of 5x + 7 when x = 11.
38. 38.Find the value of 2a + 3b when a = 7 and b = 10.
39. 39.Isha shares p bananas equally among 7 friends. Which expression shows how many bananas each friend gets? (a) p + 7 (b) 7p (c) p − 7 (d) p ÷ 7
40. 40.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?

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