[size=150][size=100]Lin was looking at the equation [math]2x-32+4(3x-2462)=14x[/math]. She said, “I can tell right away there are no solutions, because on the left side, you will have [math]2x+12x[/math] and a bunch of constants, but you have just [math]14x[/math] on the right side.” Do you agree with Lin? Explain your reasoning.[/size][/size]
[size=150][size=100]Han was looking at the equation [math]6x-4+2(5x+2)=16x[/math]. He said, “I can tell right away there are no solutions, because on the left side, you will have [math]6x+10x[/math] and a bunch of constants, but you have just [math]16x[/math] on the right side.” Do you agree with Han? Explain your reasoning.[/size][/size]
[size=100][math]6x-4=-4+6x[/math][/size]
[math]2(x-\frac{2}{3})=0[/math]
[size=150][size=100]The points [math](-2,0)[/math] and [math](0,-6)[/math]are each on the graph of a linear equation. Is[math](2,6)[/math] also on the graph of this linear equation? Explain your reasoning.[/size][/size]
In the picture triangle [math]A'B'C'[/math] is an image of triangle [math]ABC[/math] after a rotation. The center of rotation is [math]E[/math].[size=100][br][img]data:image/png;base64,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[/img][br][br][/size]What is the length of side [math]AB[/math]? Explain how you know.
[size=150][size=100]What is the measure of angle [math]D'[/math]? Explain how you know.[/size][/size]