Question

Which pair shows equivalent expressions?

Answer 1

Given:

The pair of expressions in the options.

To find:

The pair that shows equivalent expressions.

Solution:

We have,

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

By using distributive property, we get

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

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

So, option A is incorrect and option B is correct.

We have,

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

By using distributive property, we get

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

$2\left(\dfrac{2}{5}x+4\right)=\dfrac{4}{5}x+8$

So, options C and D both are incorrect.

Therefore, the correct option is B.

Answer 2

Answer:

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