How Many Solutions? Quick Check
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Question
Which of the following is an example of an equation with no solution?(1 point)
Responses
4x+3=3x+3
4 x plus 3 equals 3 x plus 3
3x+4=4x+3
3 x plus 4 equals 4 x plus 3
3x+4=3x+4
3 x plus 4 equals 3 x plus 4
3x+4=3x+3
3x+4=3x+3
Which of the following is an example of an equation with exactly one solution?(1 point)
Responses
3x+4=3x+4
3 x plus 4 equals 3 x plus 4
3x+4=3x+3
3 x plus 4 equals 3 x plus 3
3x+4=4x+3
3 x plus 4 equals 4 x plus 3
4x+3=4x+3
4x+3=4x+3
Solve for x to determine if the equation has one, none, or infinite solutions.
3(x+2)−6=3x(1 point)
Responses
The equation has no solution.
The equation has no solution.
The equation has one solution: x=3.
The equation has one solution: x equals 3 .
The equation has infinite solutions.
The equation has infinite solutions.
The equation has one solution: x=−3.
The equation has no solution.
Solve for x to determine if the equation has one, none, or infinite solutions.
4x=3(x+5)−15(1 point)
Responses
The equation has one solution: x=−10.
The equation has one solution: x equals negative 10 .
The equation has no solution.
The equation has no solution.
The equation has one solution: x=0.
The equation has one solution: x equals 0 .
The equation has infinite solutions.