Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 215 · 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.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
2. 2.Solve: y ÷ 5 = 11. What is y?
3. 3.Solve: 2t = 34. What is t?
4. 4.Solve: 2y = 38. What is y?
5. 5.Solve: y ÷ 10 = 9. What is y?
6. 6.Priya has p laddoos. A friend has 4 more. Which expression shows how many laddoos the friend has? (a) p ÷ 4 (b) 4p (c) p − 4 (d) p + 4
7. 7.Solve: n − 4 = 8. What is n?
8. 8.Find the value of 9t + 14 when t = 2.
9. 9.Solve: 4y = 72. What is y?
10. 10.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
11. 11.Find the value of 6a + 9b when a = 1 and b = 2.
12. 12.Find the value of 9x + 4 when x = 9.
13. 13.Find the value of 2x + 1 when x = 4.
14. 14.Solve: x ÷ 9 = 3. What is x?
15. 15.Find the value of 6a + 9b when a = 4 and b = 6.
16. 16.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
17. 17.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
18. 18.Gurpreet has k crayons. A friend has 9 times as many. Which expression shows how many crayons the friend has? (a) k + 9 (b) k − 9 (c) 9k (d) k ÷ 9
19. 19.Arjun has n laddoos. A friend has 4 more. Which expression shows how many laddoos the friend has? (a) 4n (b) n + 4 (c) n ÷ 4 (d) n − 4
20. 20.Find the value of 5a + 7b when a = 6 and b = 1.
21. 21.Solve: p − 10 = 15. What is p?
22. 22.Find the value of 9a + 4b when a = 6 and b = 4.
23. 23.Find the value of 6m + 12 when m = 6.
24. 24.Solve: 6p = 18. What is p?
25. 25.Zoya shares m books equally among 6 friends. Which expression shows how many books each friend gets? (a) 6m (b) m − 6 (c) m + 6 (d) m ÷ 6
26. 26.Kabir has p balls. A friend has 7 times as many. Which expression shows how many balls the friend has? (a) p + 7 (b) p − 7 (c) 7p (d) p ÷ 7
27. 27.Joseph shares k books equally among 6 friends. Which expression shows how many books each friend gets? (a) k ÷ 6 (b) k − 6 (c) 6k (d) k + 6
28. 28.Find the value of 5a + 3b when a = 8 and b = 6.
29. 29.Find the value of 2t + 15 when t = 11.
30. 30.Find the value of 4a + 3b when a = 4 and b = 7.
31. 31.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
32. 32.Solve: m + 3 = 13. What is m?
33. 33.Lakshmi has m flowers. A friend has 3 fewer. Which expression shows how many flowers the friend has? (a) m + 3 (b) 3m (c) m ÷ 3 (d) m − 3
34. 34.Find the value of 6a + 5b when a = 9 and b = 8.
35. 35.Find the value of 9y − 46 when y = 10.
36. 36.Vivaan shares n flowers equally among 4 friends. Which expression shows how many flowers each friend gets? (a) n + 4 (b) n − 4 (c) 4n (d) n ÷ 4
37. 37.Find the value of 4p − 37 when p = 11.
38. 38.Kabir has k mangoes. A friend has 4 more. Which expression shows how many mangoes the friend has? (a) k − 4 (b) k ÷ 4 (c) 4k (d) k + 4
39. 39.Lakshmi has n crayons. A friend has 9 more. Which expression shows how many crayons the friend has? (a) 9n (b) n ÷ 9 (c) n − 9 (d) n + 9
40. 40.Find the value of 5n + 16 when n = 4.

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