Question

Which expression is equivalent for this

Answer 1

Answer: Option A

Step-by-step explanation:

Remember that

$+ * - = -\\- * + = -\\+ * + = +\\- * - = +$

We have the expression

$\frac{1}{2}x + (-7)-2*\frac{1}{4}-(-2)$

Solve first the multiplication of signs

$\frac{1}{2}x + (-7)-2\frac{1}{4}x-(-2)\\\\\frac{1}{2}x -7-2\frac{1}{4}x+2\ \ \ \ \ \ \ \ Note:\ 2\frac{1}{4}=2+\frac{1}{4}=\frac{9}{4}\\\\\frac{1}{2}x -\frac{9}{4}x-7+2\ \ \ \ \ \ \ \ Note:\ \frac{1}{2}-\frac{9}{4}=-\frac{7}{4}=-1\frac{3}{4}\\\\-1\frac{3}{4}x -5$