Question

27 points please help me out which are equivalent

Answer 1

Answer:

a)

$8(x + 5)$

b)

$13y + 10$

Step-by-step explanation:

Hope it helps you<3

Answer 2

Answer:

(a) 1st, 2nd

(b) 4th

Step-by-step explanation:

(a) Option 1: Expanding with the distributive property, we have

$8(x+5)=8x+8\cdot 5\\~~~~~~~~~~~~=8x+40,$

which is equivalent.

Option 2: Multiplying the terms gives

$8\cdot x+8\cdot 5= 8x+40$,

which is equivalent.

Option 3: We don't know what x is, so there is no way to write $48x$ as $8x+40$. This is not equivalent.

Option 4: Expanding with the distributive property gives

$8(5x+1) = 8\cdot 5x+8\cdot1\\~~~~~~~~~~~~~=40x+8,$

which is not equivalent.

(b) First, we combine like terms in the given expression:

$12+14y-2-y=12-2+14y-y\\~~~~~~~~~~~~~~~~~~~~~~~=10+(14-1)y\\~~~~~~~~~~~~~~~~~~~~~~~=10+13y.$

Looking at the given answer choices, only the fourth option is equivalent.