Question

Which expressions are equivalent to 2(4f + 2g)

Choose 3 answers:

8f +2g
2f(4+2g)
8f +4g
4(2f +g)
4f+4f +4g

Answer 1

2f(4 + 2g), 8f + 4g, 4(2f + g), and 4f + 4f + 4g are equivalent to 2(4f + 2g)

Explanation:

You can figure this out by expanding (distributing) 2(4f + 2g):

2(4f + 2g) = 8f + 4g

Now, you can look at the answer choices and see which are equivalent:

8f + 2g ≠ 8f + 4g

2f(4 + 2g) = 8f + 4g = 8f + 4g

8f + 4g = 8f + 4g

4(2f + g) = 8f + 4g = 8f + 4g

4f + 4f + 4g = 8f + 4g = 8f + 4g

Answer 2

8f+4g

4(2f+g)

4f+4f+4g