Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 142 · 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.Isha has k shells. A friend has 6 more. Which expression shows how many shells the friend has? (a) k − 6 (b) k + 6 (c) 6k (d) k ÷ 6
2. 2.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
3. 3.Solve: n − 4 = 20. What is n?
4. 4.Find the value of 6m − 4 when m = 8.
5. 5.Find the value of 5a + 3b when a = 9 and b = 3.
6. 6.Solve: t ÷ 5 = 6. What is t?
7. 7.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
8. 8.Arjun has n shells. A friend has 7 times as many. Which expression shows how many shells the friend has? (a) n − 7 (b) n ÷ 7 (c) n + 7 (d) 7n
9. 9.Find the value of 5y − 11 when y = 10.
10. 10.Find the value of 9y − 2 when y = 1.
11. 11.Find the value of 9a + 4b when a = 7 and b = 5.
12. 12.Find the value of 6m − 9 when m = 7.
13. 13.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?
14. 14.Find the value of 7t − 17 when t = 3.
15. 15.Find the value of 3a + 3b when a = 10 and b = 8.
16. 16.Solve: x ÷ 10 = 5. What is x?
17. 17.Find the value of 5a + 5b when a = 10 and b = 2.
18. 18.Solve: y + 7 = 15. What is y?
19. 19.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
20. 20.Arjun has m laddoos. A friend has 2 more. Which expression shows how many laddoos the friend has? (a) 2m (b) m + 2 (c) m ÷ 2 (d) m − 2
21. 21.Find the value of 9a + 2b when a = 7 and b = 1.
22. 22.Nisha has k balloons. A friend has 4 more. Which expression shows how many balloons the friend has? (a) k ÷ 4 (b) k − 4 (c) 4k (d) k + 4
23. 23.Solve: 8x = 160. What is x?
24. 24.Lakshmi has n balloons. A friend has 3 fewer. Which expression shows how many balloons the friend has? (a) n − 3 (b) n ÷ 3 (c) n + 3 (d) 3n
25. 25.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
26. 26.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
27. 27.Find the value of 3y − 1 when y = 1.
28. 28.Solve: x ÷ 3 = 1. What is x?
29. 29.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
30. 30.Find the value of 2y − 3 when y = 8.
31. 31.Find the value of 7a + 3b when a = 7 and b = 2.
32. 32.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?
33. 33.Find the value of 4x + 19 when x = 10.
34. 34.Find the value of 7x + 2 when x = 10.
35. 35.Find the value of 8p + 4 when p = 6.
36. 36.Find the value of 6n + 5 when n = 11.
37. 37.Solve: 6n = 54. What is n?
38. 38.Meera has m bananas. A friend has 4 fewer. Which expression shows how many bananas the friend has? (a) m + 4 (b) 4m (c) m − 4 (d) m ÷ 4
39. 39.Gurpreet shares p books equally among 4 friends. Which expression shows how many books each friend gets? (a) p ÷ 4 (b) p + 4 (c) 4p (d) p − 4
40. 40.Diya shares k bananas equally among 5 friends. Which expression shows how many bananas each friend gets? (a) k ÷ 5 (b) k + 5 (c) 5k (d) k − 5

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