Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 38 · 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 ÷ 10 = 20. What is x?
2. 2.Find the value of 3a + 5b when a = 4 and b = 8.
3. 3.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
4. 4.Nisha shares n mangoes equally among 3 friends. Which expression shows how many mangoes each friend gets? (a) n − 3 (b) n + 3 (c) 3n (d) n ÷ 3
5. 5.Solve: 12x = 120. What is x?
6. 6.Solve: y + 3 = 14. What is y?
7. 7.Rohan has n kites. A friend has 2 more. Which expression shows how many kites the friend has? (a) 2n (b) n ÷ 2 (c) n − 2 (d) n + 2
8. 8.Find the value of 3a + 3b when a = 8 and b = 8.
9. 9.Find the value of 6a + 6b when a = 9 and b = 8.
10. 10.Find the value of 3a + 3b when a = 8 and b = 9.
11. 11.Aditya shares n balls equally among 3 friends. Which expression shows how many balls each friend gets? (a) 3n (b) n ÷ 3 (c) n − 3 (d) n + 3
12. 12.Find the value of 2p + 4 when p = 12.
13. 13.Find the value of 2x + 7 when x = 7.
14. 14.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
15. 15.Solve: 3x = 21. What is x?
16. 16.Kavya shares p flowers equally among 2 friends. Which expression shows how many flowers each friend gets? (a) p ÷ 2 (b) 2p (c) p + 2 (d) p − 2
17. 17.Solve: n ÷ 12 = 7. What is n?
18. 18.Find the value of 2a + 2b when a = 3 and b = 8.
19. 19.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
20. 20.Find the value of 3a + 4b when a = 10 and b = 2.
21. 21.Find the value of 5t − 19 when t = 8.
22. 22.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
23. 23.Aarav has p marbles. A friend has 8 times as many. Which expression shows how many marbles the friend has? (a) 8p (b) p ÷ 8 (c) p − 8 (d) p + 8
24. 24.Find the value of 6t + 6 when t = 1.
25. 25.Joseph has p balloons. A friend has 6 fewer. Which expression shows how many balloons the friend has? (a) p − 6 (b) p + 6 (c) 6p (d) p ÷ 6
26. 26.Find the value of 4a + 3b when a = 6 and b = 2.
27. 27.Find the value of 8m + 4 when m = 2.
28. 28.Aarav has k mangoes. A friend has 4 more. Which expression shows how many mangoes the friend has? (a) k + 4 (b) 4k (c) k − 4 (d) k ÷ 4
29. 29.Find the value of 6m + 12 when m = 12.
30. 30.Find the value of 8p − 28 when p = 10.
31. 31.Find the value of 2x + 2 when x = 6.
32. 32.Find the value of 9y + 11 when y = 1.
33. 33.Find the value of 5p + 20 when p = 5.
34. 34.Find the value of 6n − 31 when n = 9.
35. 35.Find the value of 6a + 9b when a = 5 and b = 10.
36. 36.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 24 letters?
37. 37.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 15 letters?
38. 38.Find the value of 6p − 47 when p = 8.
39. 39.Saanvi has n books. A friend has 7 more. Which expression shows how many books the friend has? (a) n + 7 (b) n ÷ 7 (c) n − 7 (d) 7n
40. 40.Solve: m + 7 = 26. What is m?

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