Question

Select ALL expressions equivalent to 0.2(1.3x - 4.2) - x + 6.2

Multiple select question.

A)
-0.74x + 5.36


B)
0.26x + 0.84


C)
-0.74x - 0.84 + 6.2


D)
0.26x - 0.84 - x + 6.2


E)
0.26x + 5.5

Answer 1

`\textsf{A)}\quad -0.74x + 5.36`

`\textsf{C)}\quad -0.74x - 0.84 + 6.2`

`\textsf{D)}\quad 0.26x - 0.84 - x + 6.2`

Explanation:

Given expression:

`0.2(1.3x - 4.2) - x + 6.2`

Distribute the 0.2 to both terms inside the parentheses:

`0.2 * 1.3x +0.2 * (-4.2)-x+6.2`

`0.26x -0.84-x+6.2`

Collect like terms:

`0.26x-x -0.84+6.2`

Combine the x terms:

`-0.74x -0.84+6.2`

Finally, combine the constant terms:

`-0.74x +5.36`

Therefore, the expressions that are equivalent to the original expression are:

`\boxed{\boxed{\begin{aligned}\textsf{A)}\;\;\;&-0.74x + 5.36\\\textsf{C)}\;\;\;&-0.74x - 0.84 + 6.2\\\textsf{D)}\;\;\;&0.26x - 0.84 - x + 6.2\end{aligned}}}`