Question

Which of the following is the simplified form of the algebraic expression $x+\frac{x}{2}+2y-\frac{y}{2}+z$

• A. $\frac{3x}{2}+\frac{3y}{2}+z$
• B. $\frac{x}{2}+\frac{y}{2}+z$
• C. $x+\frac{x}{2}+\frac{3y}{2}+z$
• D. None of the above

Answer 1

The correct option is A $\frac{3x}{2}+\frac{3y}{2}+z$

$x+\frac{x}{2}=\frac{3x}{2}$

$2y-\frac{y}{2}=\frac{3y}{2}$

$\Rightarrow x+\frac{x}{2}+2y-\frac{y}{2}+z$

$=\frac{3x}{2}+\frac{3y}{2}+z$