Question

Which is equivalent to the expression? 4(x + 5) + 4x + 8 A) 4(2x + 7) B) 5x + 17 C) 8(x + 4) D) 8x + 13

Answer 1

The correct option is A) 4(2x + 7).

Explanation:

Consider the provided expression.

4(x + 5) + 4x + 8

Apply the distributive property:
`a(b+c)=ab+ac`

4(x + 5) + 4x + 8 = 4x + 20 + 4x + 8

Now add the like terms.

8x + 28

The above expression can be written as:

4 × 2x + 4 × 7

4(2x + 7)

Hence, the correct option is A) 4(2x + 7).

Answer 2

A) 4(2x + 7) is your answer.

Explanation:

Distribute 4 to all terms within the first parenthesis.

4(x + 5) = 4x + 20

4x + 20 + 4x + 8

Simplify. Combine like terms.

4x + 4x + 20 + 8

8x + 28

A) 4(2x + 7) is your answer.

Simplify. Distribute 4 to all terms within the parenthesis

4(2x) = 8x

4(7) = 28

8x + 28 = 8x + 28 ∴ 4(x + 5) + 4x + 8 = 4(2x + 7)

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