Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 618 · 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.Zoya shares p mangoes equally among 6 friends. Which expression shows how many mangoes each friend gets? (a) p − 6 (b) 6p (c) p + 6 (d) p ÷ 6
2. 2.Solve: p − 8 = 20. What is p?
3. 3.Find the value of 6n − 29 when n = 11.
4. 4.Find the value of 4n + 3 when n = 7.
5. 5.Ishaan shares n crayons equally among 7 friends. Which expression shows how many crayons each friend gets? (a) 7n (b) n − 7 (c) n ÷ 7 (d) n + 7
6. 6.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
7. 7.Tara has k balls. A friend has 2 more. Which expression shows how many balls the friend has? (a) 2k (b) k − 2 (c) k ÷ 2 (d) k + 2
8. 8.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 7 letters?
9. 9.Solve: p ÷ 2 = 6. What is p?
10. 10.Find the value of 7a + 6b when a = 3 and b = 3.
11. 11.Find the value of 9n + 13 when n = 12.
12. 12.Find the value of 3y + 9 when y = 12.
13. 13.Farhan has m marbles. A friend has 6 more. Which expression shows how many marbles the friend has? (a) 6m (b) m − 6 (c) m + 6 (d) m ÷ 6
14. 14.Find the value of 6a + 5b when a = 6 and b = 1.
15. 15.Find the value of 5m − 2 when m = 2.
16. 16.Solve: 9y = 90. What is y?
17. 17.Dev has n flowers. A friend has 6 times as many. Which expression shows how many flowers the friend has? (a) n + 6 (b) n ÷ 6 (c) 6n (d) n − 6
18. 18.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
19. 19.Solve: n + 6 = 26. What is n?
20. 20.Solve: t ÷ 6 = 20. What is t?
21. 21.Find the value of 2a + 4b when a = 3 and b = 7.
22. 22.Find the value of 7a + 8b when a = 5 and b = 2.
23. 23.Find the value of 9a + 6b when a = 9 and b = 10.
24. 24.Find the value of 7a + 2b when a = 8 and b = 8.
25. 25.Solve: n ÷ 12 = 2. What is n?
26. 26.Find the value of 8y + 15 when y = 6.
27. 27.Find the value of 4t − 10 when t = 3.
28. 28.Find the value of 3t − 2 when t = 1.
29. 29.Find the value of 3a + 6b when a = 8 and b = 1.
30. 30.Arjun has p crayons. A friend has 2 more. Which expression shows how many crayons the friend has? (a) 2p (b) p − 2 (c) p ÷ 2 (d) p + 2
31. 31.Find the value of 6y + 4 when y = 1.
32. 32.Find the value of 8a + 2b when a = 9 and b = 4.
33. 33.Find the value of 8y + 9 when y = 5.
34. 34.Find the value of 4m + 16 when m = 1.
35. 35.Solve: m + 2 = 18. What is m?
36. 36.Find the value of 3a + 4b when a = 1 and b = 9.
37. 37.Manav has n laddoos. A friend has 7 more. Which expression shows how many laddoos the friend has? (a) n − 7 (b) 7n (c) n + 7 (d) n ÷ 7
38. 38.Rohan shares n flowers equally among 9 friends. Which expression shows how many flowers each friend gets? (a) n + 9 (b) n ÷ 9 (c) 9n (d) n − 9
39. 39.Find the value of 2a + 2b when a = 7 and b = 1.
40. 40.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?

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