Question

Which pair shows equivalent expressions?
mc017-1.jpg
mc017-2.jpg
mc017-3.jpg
mc017-4.jpg

Answer 1

Answer: c

Step-by-step explanation: just took test

Answer 2

Answer:

2(2/5x + 2)=4/5x + 4,

Step-by-step explanation:

Step 1: $2\left(\frac{2}{5} x+2\right)$

Let us distribute 2 Inside the parenthesis.

That is, we use distributive property:

a(b+c)=a b+a c

$2\left(\frac{2}{5} x+2\right)=\frac{2+2}{5} x+2 * 2$

So, $2\left(\frac{2}{5} x+2\right)=\frac{4}{5} x+4$

Answer:Option (b)

$2\left(\frac{2}{5} x+4\right)$

Step 2:Applying distrlbutlve property, a(b+c)=a b+a c

$\begin{aligned}& 2\left(\frac{2}{5} x+4\right)=2 * \frac{2}{5} x+2 * 4 \\& 2\left(\frac{2}{5} x+4\right)=\frac{2+2}{5} x+2 * 4 \\& 2\left(\frac{2}{5} x+4\right)=\frac{4}{5} x+8\end{aligned}$

So, Option (B) is correct.

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