Question

Jaylin created the following expression: 2/5x -3/10 - x + 1 7/10x - 1/10Jaylin created an equivalent expression using the following steps:4/10x + (-1x) + 1 7/10x + (-3/10) + (-1/10)1 1/10x + -2/5Is his final expression equivalent to the initial expression? Show how you know. if the two expressions are not equivalent, find Jaylins mistake and correct it.

Answer 1

Let's add the like terms in the 2nd expression:

$\begin{gathered} \frac{4}{10}x-1x+1\frac{7}{10}x+1\frac{1}{10}x \\ =\frac{4}{10}x-\frac{10}{10}x+\frac{17}{10}x+\frac{11}{10}x \\ =\frac{22}{10}x \\ =\frac{11}{5}x \end{gathered}$