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} (4)/(10)x-1x+1(7)/(10)x+1(1)/(10)x \\ =(4)/(10)x-(10)/(10)x+(17)/(10)x+(11)/(10)x \\ =(22)/(10)x \\ =(11)/(5)x \end{gathered}`