Question

three students wrote expressions on their dry erase boards 1. -(5r - 3s + 1)2. -5r + 3s + 13. -5r +3s - 1which of these students wrote equivalent expressions?A. Student 1 and Student 3 B. Student 2 and Student 3C. Student 2D. Student 3

Answer 1

The students that wrote equivalent expressions are;

A. Student 1 and Student 3

Step-by-step explanation:

Given the following expression;

`\begin{gathered} 1.-\mleft(5r-3s+1\mright) \\ 2.-5r+3s+1 \\ 3.-5r+3s-1 \end{gathered}`

Let us simplify the expression to determine which of the expressions are equivalent.

`\begin{gathered} 1.-\mleft(5r-3s+1\mright) \\ =-\mleft(5r)-(-3s)-(+1\mright) \\ =-5r+3s-1 \end{gathered}`
`2.-5r+3s+1`
`3.-5r+3s-1`

From the simplified expressions, we can see that equation 1 and 3 are the same (equivalent).

Therefore, the students that wrote equivalent expressions are;

A. Student 1 and Student 3