task+2

task 2

(0,9) (-1,9) (1,10)
 * 1) Identify 3 solutions to the system of inequalities shown.

2. What is one point that is a solution to only on inequality, but not the other? 0,5.71

4.Graph the point (2, 6) and drag it to the left until the purple shading switches to the other side of the line. Explain why this happens? When you graph the point (2,6) the equation changes and the shading becomes bigger

5. What would you need to change about the equation to keep the purple shading on the right side of the line? make the equations equal

10.

11. Which of the blue/green points are solutions to the system of inequalities? Explain how you know. none, because the point is on the equation and none of the equations are equal to

12. What will be a common error that students make in choosing the blue/green points that are solutions? Explain what their misconception (error in their thinking) might be. students don't see that the sign is a less than not a less or equal to and the line is not straight that's why the point is not included on the line

16. What would the solution be if this were a system of equations. (-9,-1)

17. Prove that this is the solution to the system algebraically. y=0.5x+3.5 y=1x+8

-0.5x+y=3.5 -1x+y=8 -(-1x+y=8)

-0.5+y=3.5 __x-y=-8_____ 0.5x=-4.5 x=-9

-x+y=8 -(-9)+y=8 9+y=8 y=-1