Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 135 · 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 8a + 8b when a = 2 and b = 1.
2. 2.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
3. 3.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
4. 4.Solve: n ÷ 2 = 3. What is n?
5. 5.Tara has k kites. A friend has 5 more. Which expression shows how many kites the friend has? (a) 5k (b) k ÷ 5 (c) k + 5 (d) k − 5
6. 6.Solve: p − 9 = 10. What is p?
7. 7.Karan has k balls. A friend has 5 times as many. Which expression shows how many balls the friend has? (a) k − 5 (b) 5k (c) k + 5 (d) k ÷ 5
8. 8.Find the value of 8a + 8b when a = 2 and b = 8.
9. 9.Find the value of 8a + 2b when a = 3 and b = 1.
10. 10.Find the value of 6a + 7b when a = 1 and b = 9.
11. 11.Find the value of 6a + 3b when a = 2 and b = 6.
12. 12.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
13. 13.Find the value of 4a + 5b when a = 6 and b = 1.
14. 14.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
15. 15.Find the value of 2n + 9 when n = 1.
16. 16.Solve: x + 8 = 11. What is x?
17. 17.Find the value of 3p + 20 when p = 11.
18. 18.Dev has n mangoes. A friend has 3 times as many. Which expression shows how many mangoes the friend has? (a) 3n (b) n + 3 (c) n ÷ 3 (d) n − 3
19. 19.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
20. 20.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
21. 21.Find the value of 2y + 6 when y = 2.
22. 22.Find the value of 4a + 6b when a = 10 and b = 8.
23. 23.Rahul has m kites. A friend has 8 fewer. Which expression shows how many kites the friend has? (a) 8m (b) m ÷ 8 (c) m − 8 (d) m + 8
24. 24.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
25. 25.Find the value of 4x − 38 when x = 10.
26. 26.Find the value of 5a + 2b when a = 4 and b = 6.
27. 27.Find the value of 3n − 3 when n = 8.
28. 28.Solve: m − 10 = 13. What is m?
29. 29.Find the value of 7a + 2b when a = 2 and b = 1.
30. 30.Solve: x + 5 = 14. What is x?
31. 31.Lakshmi has n balls. A friend has 5 fewer. Which expression shows how many balls the friend has? (a) n ÷ 5 (b) 5n (c) n − 5 (d) n + 5
32. 32.Gurpreet shares k balloons equally among 3 friends. Which expression shows how many balloons each friend gets? (a) 3k (b) k ÷ 3 (c) k − 3 (d) k + 3
33. 33.Find the value of 4t + 2 when t = 12.
34. 34.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
35. 35.Find the value of 3y − 1 when y = 2.
36. 36.Solve: t + 8 = 18. What is t?
37. 37.Find the value of 2t + 8 when t = 11.
38. 38.Find the value of 2a + 5b when a = 10 and b = 3.
39. 39.Solve: y ÷ 3 = 9. What is y?
40. 40.Find the value of 2a + 6b when a = 9 and b = 5.

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