Question

Which expression is equivalent to 1/2x+(−7)−2 1/4x−(−2

Answer 1

The equivalent expression to the given expression is $\mathbf{=-(\dfrac{7}{4}x+5)}$

What is an algebraic expression?

Algebraic expressions are mathematical expressions. They usually consist of one or more variables with their coefficients and arithmetic operators such as: (division, multiplication, addition, and subtraction).

From the given expression, we are to determine an expression that is equivalent to:

$=\dfrac{1}{2}x + (-7) -2 \dfrac{1}{4}x -(-2)$

To do this, we are going to simplify the above-given expression to its lowest term since we are not given any options to choose equivalent expressions from.

By doing so, we have:

$=\dfrac{1}{2}x -7 -\dfrac{9}{4}x +2$

$=\dfrac{1}{2}x -\dfrac{9}{4}x +2 -7$

$=\dfrac{1}{2}x -\dfrac{9}{4}x -5$

$=-\dfrac{7}{4}x-5$

$\mathbf{=-(\dfrac{7}{4}x+5)}$

Learn more about solving algebraic expressions here:

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