Question

Frieda writes the expression below. 1.6(x-4) Frieda states that the value of her expression is -8. Determine the value of x that makes Frieda's statement true and explain your reasoning.

Answer 1

Answer : The value of 'x' that makes Frieda's statement true is, -1

Explanation :

The given expression is:

$1.6(x-4)$

Frieda states that the value of her expression is -8. That means,

$1.6(x-4)=-8$

By solving the expression, we get the value of 'x'.

$1.6x-6.4=-8$

$1.6x=-8+6.4$

$1.6x=-1.6$

$x=\frac{-1.6}{1.6}$

$x=-1$

Thus, the value of 'x' that makes Frieda's statement true is, -1