Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 379 · 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.Solve: x ÷ 8 = 2. What is x?
2. 2.Find the value of 5a + 2b when a = 3 and b = 10.
3. 3.Solve: m − 10 = 3. What is m?
4. 4.Isha has k mangoes. A friend has 2 fewer. Which expression shows how many mangoes the friend has? (a) 2k (b) k + 2 (c) k ÷ 2 (d) k − 2
5. 5.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
6. 6.Solve: 5p = 50. What is p?
7. 7.Find the value of 8a + 3b when a = 7 and b = 4.
8. 8.Solve: 10p = 90. What is p?
9. 9.Find the value of 6p + 11 when p = 2.
10. 10.Solve: t ÷ 5 = 15. What is t?
11. 11.Find the value of 8p + 4 when p = 9.
12. 12.Find the value of 8x − 31 when x = 5.
13. 13.Find the value of 9t + 13 when t = 12.
14. 14.Find the value of 9y + 9 when y = 6.
15. 15.Joseph has k kites. A friend has 8 fewer. Which expression shows how many kites the friend has? (a) k + 8 (b) k ÷ 8 (c) 8k (d) k − 8
16. 16.Solve: y + 11 = 25. What is y?
17. 17.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
18. 18.Solve: n + 12 = 23. What is n?
19. 19.Find the value of 8n + 11 when n = 6.
20. 20.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
22. 22.Dev has n flowers. A friend has 2 more. Which expression shows how many flowers the friend has? (a) n + 2 (b) n ÷ 2 (c) n − 2 (d) 2n
23. 23.Arjun shares m flowers equally among 8 friends. Which expression shows how many flowers each friend gets? (a) 8m (b) m − 8 (c) m + 8 (d) m ÷ 8
24. 24.Find the value of 5y − 6 when y = 10.
25. 25.Solve: y ÷ 12 = 10. What is y?
26. 26.Vivaan has m kites. A friend has 3 times as many. Which expression shows how many kites the friend has? (a) m + 3 (b) m − 3 (c) m ÷ 3 (d) 3m
27. 27.Find the value of 3x + 20 when x = 8.
28. 28.Find the value of 2x + 5 when x = 1.
29. 29.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
30. 30.Karan shares p marbles equally among 3 friends. Which expression shows how many marbles each friend gets? (a) p + 3 (b) p ÷ 3 (c) p − 3 (d) 3p
31. 31.Find the value of 8a + 7b when a = 4 and b = 6.
32. 32.Solve: 8t = 72. What is t?
33. 33.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
34. 34.Rohan shares p laddoos equally among 6 friends. Which expression shows how many laddoos each friend gets? (a) p − 6 (b) p ÷ 6 (c) p + 6 (d) 6p
35. 35.Find the value of 3n − 1 when n = 3.
36. 36.Find the value of 2x − 3 when x = 8.
37. 37.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 10 letters?
38. 38.Solve: m − 12 = 18. What is m?
39. 39.Solve: n ÷ 6 = 16. What is n?
40. 40.Find the value of 5a + 8b when a = 6 and b = 9.

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