Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 118 · 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 9a + 4b when a = 8 and b = 6.
2. 2.Find the value of 5m − 13 when m = 5.
3. 3.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
4. 4.Pooja has m laddoos. A friend has 9 fewer. Which expression shows how many laddoos the friend has? (a) 9m (b) m ÷ 9 (c) m − 9 (d) m + 9
5. 5.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
6. 6.Find the value of 3a + 6b when a = 9 and b = 2.
7. 7.Find the value of 2a + 7b when a = 2 and b = 4.
8. 8.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 22 letters?
9. 9.Solve: x − 10 = 14. What is x?
10. 10.Priya has k crayons. A friend has 2 fewer. Which expression shows how many crayons the friend has? (a) k ÷ 2 (b) 2k (c) k − 2 (d) k + 2
11. 11.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
12. 12.Saanvi shares n mangoes equally among 5 friends. Which expression shows how many mangoes each friend gets? (a) 5n (b) n ÷ 5 (c) n + 5 (d) n − 5
13. 13.Find the value of 3t + 11 when t = 6.
14. 14.Find the value of 9a + 9b when a = 4 and b = 7.
15. 15.Solve: 12x = 240. What is x?
16. 16.Ananya shares k mangoes equally among 7 friends. Which expression shows how many mangoes each friend gets? (a) k + 7 (b) 7k (c) k ÷ 7 (d) k − 7
17. 17.Find the value of 2m + 13 when m = 4.
18. 18.Find the value of 7a + 7b when a = 4 and b = 1.
19. 19.Solve: 3m = 48. What is m?
20. 20.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
21. 21.Isha shares p kites equally among 7 friends. Which expression shows how many kites each friend gets? (a) p + 7 (b) 7p (c) p ÷ 7 (d) p − 7
22. 22.Find the value of 3a + 5b when a = 5 and b = 2.
23. 23.Find the value of 6a + 9b when a = 7 and b = 8.
24. 24.Find the value of 5t − 13 when t = 6.
25. 25.Solve: p + 4 = 21. What is p?
26. 26.Find the value of 5p − 34 when p = 11.
27. 27.Find the value of 5a + 8b when a = 4 and b = 6.
28. 28.Find the value of 9a + 5b when a = 9 and b = 4.
29. 29.Find the value of 4a + 2b when a = 4 and b = 7.
30. 30.Find the value of 8t − 22 when t = 4.
31. 31.Solve: m ÷ 3 = 12. What is m?
32. 32.Find the value of 4x − 8 when x = 11.
33. 33.Solve: x ÷ 10 = 15. What is x?
34. 34.Solve: x − 8 = 12. What is x?
35. 35.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
36. 36.Find the value of 5p − 34 when p = 8.
37. 37.Find the value of 3m − 2 when m = 2.
38. 38.Solve: m ÷ 11 = 17. What is m?
39. 39.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
40. 40.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?

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