Question

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.

Answer 1

. 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(

Answer 2

. 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(

Answer 3

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

Answer 4

There are infinitely many solutions to the equation.

Answer 5

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

Answer 6

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

Answer 7

3x=2x+1