2. Look at the steps for solving the equation and choose a true statement.

3x−9x+1=2(−3x+1)−1
−6x+1=−6x+2−1
−6x+1=−6x+1
(1 point)
Responses

The only solution to the equation is 1
The only solution to the equation is 1

There are no solutions to the equation.
There are no solutions to the equation.

There is no way to know if there is a solution to the equation.
There is no way to know if there is a solution to the equation.

The only solution to the equation is -6
The only solution to the equation is -6

There are infinitely many solutions to the equation.

There are infinitely many solutions to the equation.

. A student solved the following equation using the following steps:

4(2−3x)=x−2(2x+1)
8−3x=x−4x−2
8−3x=−3x−2
No solution.

(2 points)
Based on the student's work, the equation was solved

The equation solved correctly would show that it has
solution(

The equation was solved correctly and it shows that there is no solution.

. A student solved the following equation using the following steps:

4(2−3x)=x−2(2x+1)
8−3x=x−4x−2
8−3x=−3x−2
No solution.

(2 points)
Based on the student's work, the equation was solved correctly or incorrectly

The equation solved correctly would show that it has two,one, infinite, or three
solution(

The equation was solved correctly and it shows that it has no solution.

Select the equation that has infinitely many solutions.(1 point)

Responses

4x+1=4(x+1)
4 x plus 1 is equal to 4 times open paren x plus 1 close paren

3x=2x+1
3 x is equal to 2 x plus 1

3−3x=−3(x−1)
3 minus 3 x is equal to negative 3 times open paren x minus 1 close paren

3x+5=3x−5

3x=2x+1