Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Write the expression in simplest form.

( -11/2 x + 3) - 2 ( 11/4 x - 5/2)

Answer 1

Solution:

Note that:

• Given expression: (-11x/2 + 3) - 2(11x/4 - 5/2)

Simplifying the expression:

• (-11x/2 + 3) - 2(11x/4 - 5/2)
• => (-11x/2 + 3) + (-11x/2 + 5)
• => -11x/2 + 3 - 11x/2 + 5
• => -22x/2 + 8
• => -11x + 8

The simplified expression is -11x + 8.

Answer 2

$\rm \: ( - \frac{11}{2} x + 3) - 2( \frac{11}{4} x - \frac{5}{2} )$

Distribute -2 through the parentheses

$\rm \: ( - \frac{11}{2} x + 3) - \frac{11}{2} x + 5$

Remove the unnecessary parentheses

$\rm \: - \frac{11}{2} x + 3 - \frac{11}{2} x + 5$

Calculate the difference

$\rm \: - 11x + 3 + 5$

Calculate the sum

$\boxed{ \mathfrak{ - 11x + 8}}$