Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 197 · 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 9t + 1 when t = 5.
2. 2.Solve: n + 8 = 16. What is n?
3. 3.Kabir has m balls. A friend has 8 more. Which expression shows how many balls the friend has? (a) m − 8 (b) m + 8 (c) m ÷ 8 (d) 8m
4. 4.Find the value of 3m + 14 when m = 11.
5. 5.Find the value of 6a + 7b when a = 7 and b = 1.
6. 6.Farhan has p kites. A friend has 9 fewer. Which expression shows how many kites the friend has? (a) p − 9 (b) p + 9 (c) 9p (d) p ÷ 9
7. 7.Solve: y ÷ 2 = 18. What is y?
8. 8.Find the value of 5x + 20 when x = 2.
9. 9.Find the value of 2y − 1 when y = 2.
10. 10.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
11. 11.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 7 letters?
12. 12.Find the value of 2a + 3b when a = 3 and b = 8.
13. 13.Solve: 12p = 240. What is p?
14. 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
15. 15.Aditya has p crayons. A friend has 8 times as many. Which expression shows how many crayons the friend has? (a) p ÷ 8 (b) p + 8 (c) 8p (d) p − 8
16. 16.Diya shares p mangoes equally among 7 friends. Which expression shows how many mangoes each friend gets? (a) p ÷ 7 (b) 7p (c) p − 7 (d) p + 7
17. 17.Solve: 8t = 40. What is t?
18. 18.Find the value of 8p − 5 when p = 2.
19. 19.Find the value of 3x + 20 when x = 6.
20. 20.Rahul has k mangoes. A friend has 8 fewer. Which expression shows how many mangoes the friend has? (a) 8k (b) k − 8 (c) k + 8 (d) k ÷ 8
21. 21.Solve: n ÷ 10 = 19. What is n?
22. 22.Arjun has k pencils. A friend has 5 more. Which expression shows how many pencils the friend has? (a) k + 5 (b) 5k (c) k ÷ 5 (d) k − 5
23. 23.Solve: x + 2 = 6. What is x?
24. 24.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
25. 25.Find the value of 4a + 4b when a = 6 and b = 6.
26. 26.Solve: m ÷ 8 = 8. What is m?
27. 27.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
28. 28.Find the value of 4p − 3 when p = 2.
29. 29.Find the value of 2x − 10 when x = 8.
30. 30.Find the value of 2a + 7b when a = 10 and b = 4.
31. 31.Find the value of 3p − 9 when p = 6.
32. 32.Find the value of 4a + 4b when a = 4 and b = 2.
33. 33.Solve: 10y = 40. What is y?
34. 34.Find the value of 5a + 5b when a = 1 and b = 1.
35. 35.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
36. 36.Find the value of 9a + 5b when a = 8 and b = 6.
37. 37.Find the value of 4n − 6 when n = 3.
38. 38.Find the value of 5a + 8b when a = 6 and b = 6.
39. 39.Pooja shares n mangoes equally among 6 friends. Which expression shows how many mangoes each friend gets? (a) n + 6 (b) n ÷ 6 (c) n − 6 (d) 6n
40. 40.Aditya shares p crayons equally among 2 friends. Which expression shows how many crayons each friend gets? (a) p + 2 (b) 2p (c) p ÷ 2 (d) p − 2

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