Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 439 · 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.Find the value of 8m + 3 when m = 6.
2. 2.Solve: 5x = 30. What is x?
3. 3.Find the value of 6a + 8b when a = 6 and b = 8.
4. 4.Find the value of 2y + 20 when y = 12.
5. 5.Tara shares m kites equally among 7 friends. Which expression shows how many kites each friend gets? (a) m ÷ 7 (b) m − 7 (c) 7m (d) m + 7
6. 6.Karan has n bananas. A friend has 7 more. Which expression shows how many bananas the friend has? (a) 7n (b) n + 7 (c) n − 7 (d) n ÷ 7
7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
8. 8.Vivaan has p books. A friend has 8 times as many. Which expression shows how many books the friend has? (a) p − 8 (b) p ÷ 8 (c) p + 8 (d) 8p
9. 9.Find the value of 7a + 2b when a = 2 and b = 4.
10. 10.Find the value of 2t + 8 when t = 3.
11. 11.Solve: 10n = 170. What is n?
12. 12.Isha has k balls. A friend has 4 times as many. Which expression shows how many balls the friend has? (a) k + 4 (b) k − 4 (c) k ÷ 4 (d) 4k
13. 13.Solve: 3y = 48. What is y?
14. 14.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
15. 15.Solve: 9n = 144. What is n?
16. 16.Find the value of 8y + 16 when y = 9.
17. 17.Tara has p balls. A friend has 9 more. Which expression shows how many balls the friend has? (a) p − 9 (b) p + 9 (c) 9p (d) p ÷ 9
18. 18.Find the value of 5x + 8 when x = 3.
19. 19.Solve: x − 4 = 9. What is x?
20. 20.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 10 letters?
21. 21.Find the value of 4n + 10 when n = 12.
22. 22.Joseph has m crayons. A friend has 5 fewer. Which expression shows how many crayons the friend has? (a) m − 5 (b) m + 5 (c) 5m (d) m ÷ 5
23. 23.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
24. 24.Tara has m bananas. A friend has 3 fewer. Which expression shows how many bananas the friend has? (a) m − 3 (b) m ÷ 3 (c) 3m (d) m + 3
25. 25.Solve: p − 3 = 13. What is p?
26. 26.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
27. 27.Find the value of 8t − 14 when t = 7.
28. 28.Solve: n ÷ 2 = 11. What is n?
29. 29.Solve: p + 8 = 22. What is p?
30. 30.Find the value of 6a + 4b when a = 6 and b = 6.
31. 31.Solve: m − 3 = 15. What is m?
32. 32.Find the value of 6m − 10 when m = 7.
33. 33.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
34. 34.Solve: t ÷ 5 = 8. What is t?
35. 35.Diya shares k balloons equally among 5 friends. Which expression shows how many balloons each friend gets? (a) 5k (b) k + 5 (c) k ÷ 5 (d) k − 5
36. 36.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?
37. 37.Solve: 3t = 27. What is t?
38. 38.Solve: n ÷ 11 = 9. What is n?
39. 39.Pooja has k balls. A friend has 5 fewer. Which expression shows how many balls the friend has? (a) k ÷ 5 (b) 5k (c) k + 5 (d) k − 5
40. 40.Solve: x + 3 = 6. What is x?

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