Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 285 · 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.Tara has p laddoos. A friend has 4 fewer. Which expression shows how many laddoos the friend has? (a) 4p (b) p − 4 (c) p ÷ 4 (d) p + 4
2. 2.Solve: 11m = 88. What is m?
3. 3.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
4. 4.Solve: p + 10 = 19. What is p?
5. 5.Solve: t + 9 = 14. What is t?
6. 6.Find the value of 6a + 4b when a = 3 and b = 4.
7. 7.Find the value of 9n + 18 when n = 2.
8. 8.Find the value of 2a + 3b when a = 6 and b = 7.
9. 9.Solve: 7t = 28. What is t?
10. 10.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
11. 11.Find the value of 7x − 4 when x = 4.
12. 12.Find the value of 6x − 8 when x = 2.
13. 13.Find the value of 7p − 11 when p = 6.
14. 14.Find the value of 3t + 8 when t = 3.
15. 15.Kabir has k books. A friend has 2 more. Which expression shows how many books the friend has? (a) k − 2 (b) 2k (c) k ÷ 2 (d) k + 2
16. 16.Find the value of 8a + 3b when a = 5 and b = 3.
17. 17.Find the value of 2a + 9b when a = 8 and b = 4.
18. 18.Find the value of 6x + 6 when x = 10.
19. 19.Find the value of 7a + 5b when a = 1 and b = 1.
20. 20.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
22. 22.Kabir has n balls. A friend has 4 times as many. Which expression shows how many balls the friend has? (a) n + 4 (b) 4n (c) n ÷ 4 (d) n − 4
23. 23.Solve: x − 7 = 8. What is x?
24. 24.Solve: t ÷ 6 = 4. What is t?
25. 25.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
26. 26.Find the value of 6a + 9b when a = 2 and b = 7.
27. 27.Solve: 5n = 25. What is n?
28. 28.Find the value of 4p − 9 when p = 3.
29. 29.Solve: m + 9 = 27. What is m?
30. 30.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
31. 31.Riya shares k balls equally among 4 friends. Which expression shows how many balls each friend gets? (a) k + 4 (b) k − 4 (c) k ÷ 4 (d) 4k
32. 32.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
33. 33.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
34. 34.Rahul has p balls. A friend has 2 more. Which expression shows how many balls the friend has? (a) 2p (b) p − 2 (c) p + 2 (d) p ÷ 2
35. 35.Solve: y − 5 = 11. What is y?
36. 36.Ishaan has n books. A friend has 2 more. Which expression shows how many books the friend has? (a) n + 2 (b) n ÷ 2 (c) n − 2 (d) 2n
37. 37.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
38. 38.Find the value of 4p + 2 when p = 3.
39. 39.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
40. 40.Find the value of 9a + 3b when a = 9 and b = 8.

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