Question

Which expressions are equivalent to 4(4a+5)4(4a+5) ? Choose 3 answers: Choose 3 answers: (Choice A, Checked) A 16a + 516a+5 (Choice B, Checked) B 16a+2016a+20 (Choice C) C 12a+20+4a12a+20+4a (Choice D) D 2(8a+10)2(8a+10) (Choice E) E 16a+5+416a+5+4

Answer 1

Answer:

            B, C, D

Step-by-step explanation:

I understand that you question is:

Which expressions are equivalent to 4(4a+5)?

Choose 3 answers:

A 16a + 5

B 16a+20

C 12a+20+4a

D 2(8a+10)

E 16a+5+4

Then:

B, because:  

                  4(4a+5) = 4•4a + 4•5 = 16a + 20

{distributive law}

C, because:

                 4(4a+5) = 16a + 20 = 12a + 4a + 20 = 12a + 20 + 4a

{distributive and associative laws}

D, because:

                4(4a+5) = 2•2(4a+5) = 2[2(4a+5)] = 2(2•4a + 2•5) = 2(8a + 10)

{associative and distributive laws}