Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 560 · 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 C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
2. 2.Find the value of 4n − 29 when n = 8.
3. 3.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
4. 4.Find the value of 4p + 3 when p = 2.
5. 5.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 24 letters?
6. 6.Solve: m + 9 = 12. What is m?
7. 7.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
8. 8.Zoya has m crayons. A friend has 8 fewer. Which expression shows how many crayons the friend has? (a) m ÷ 8 (b) 8m (c) m − 8 (d) m + 8
9. 9.Solve: m + 7 = 8. What is m?
10. 10.Solve: 6t = 114. What is t?
11. 11.Isha has m pencils. A friend has 3 times as many. Which expression shows how many pencils the friend has? (a) m − 3 (b) m + 3 (c) 3m (d) m ÷ 3
12. 12.Karan has p balloons. A friend has 9 times as many. Which expression shows how many balloons the friend has? (a) 9p (b) p + 9 (c) p ÷ 9 (d) p − 9
13. 13.Solve: p − 9 = 3. What is p?
14. 14.Solve: x − 11 = 15. What is x?
15. 15.Find the value of 8p + 16 when p = 1.
16. 16.Find the value of 4p + 19 when p = 11.
17. 17.Solve: n ÷ 6 = 11. What is n?
18. 18.Solve: m − 10 = 4. What is m?
19. 19.Aarav shares n laddoos equally among 2 friends. Which expression shows how many laddoos each friend gets? (a) n − 2 (b) 2n (c) n ÷ 2 (d) n + 2
20. 20.Joseph has m balls. A friend has 4 fewer. Which expression shows how many balls the friend has? (a) m + 4 (b) m − 4 (c) m ÷ 4 (d) 4m
21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
22. 22.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
23. 23.Find the value of 7a + 8b when a = 7 and b = 10.
24. 24.Find the value of 2p − 3 when p = 4.
25. 25.Find the value of 7a + 9b when a = 5 and b = 1.
26. 26.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
27. 27.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
28. 28.Dev has k balls. A friend has 6 fewer. Which expression shows how many balls the friend has? (a) k − 6 (b) k + 6 (c) k ÷ 6 (d) 6k
29. 29.Find the value of 8a + 7b when a = 8 and b = 6.
30. 30.Solve: x ÷ 8 = 6. What is x?
31. 31.Find the value of 7t + 15 when t = 5.
32. 32.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
33. 33.Solve: p ÷ 3 = 17. What is p?
34. 34.Find the value of 7x − 26 when x = 4.
35. 35.Ishaan shares n kites equally among 5 friends. Which expression shows how many kites each friend gets? (a) n − 5 (b) n ÷ 5 (c) n + 5 (d) 5n
36. 36.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
37. 37.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
38. 38.Find the value of 8y + 7 when y = 9.
39. 39.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
40. 40.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?

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