Question

20 points! Write the expression in simplest form. (-11/2 x + 3) - 2(-11/4 x - 5/2) =

Answer 1

Answer:

$\large\boxed{\dfrac{11}{4}x+8}$

Step-by-step explanation:

$\left(-\dfrac{11}{4}x+3\right)-2\left(-\dfrac{11}{4}x-\dfrac{5}{2}\right)\qquad\text{use the distributive property}\\\\=-\dfrac{11}{4}x+3+(-2)\left(-\dfrac{11}{4}x\right)+(-2)\left(-\dfrac{5}{2}\right)\\\\=-\dfrac{11}{4}x+3+\dfrac{22}{4}x+5\qquad\text{combine like terms}\\\\=\left(-\dfrac{11}{4}x+\dfrac{22}{4}x\right)+(3+5)\\\\=\dfrac{11}{4}x+8$