Question

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

Choose 3 answers

(Choice A)
A
16a + 5

(Choice B)
B
16a+20

(Choice C)
C
12a+20+4a

(Choice D)
D
2(8a+10)
(Choice E)
E
16a+5+4

Answer 1

Answer:

Option B, C, D

Step-by-step explanation:

lets simplify the given number ...

number = 4(4a+5)

= 4(4a) + 4(5)

= 16a + 20

simplified number = 16a + 20

lets simplify and check all the options...

A = 16a+ 5 {≠ 16a + 20}

option A isn't equivalent and hence not one of the 3 answers

B = 16a + 20 {= 16a + 20}

Option B is one of the 3 answers

C = 12a + 20 + 4a

or C = 16a + 20 {= 16a + 20}

Option C is correct and is one the 3 answers

D = 2(8a + 10)

or D = 2(8a) + 2(10)

or D = 16a + 20 {= 16a + 20}

Option D is one of the 3 answers

E = 16a + 5 + 4

or E = 16a + 9 {≠ 16a + 20}

option E isn't the answer

Correct Options are B, C, D

I hope this answers helps you