Graphing Systems of Equations and Inequalities Review

Graphing Systems of Equations and Inequalities Review

This will act as a review for graphing systems of inequalities and equations.

Multiple Choice

What is the solution to a system of EQUATIONS?

• Intersection

• Overlapping Region

Multiple Choice

What is the solution to a system of Inequalities?

• Intersection

• Overlapping Region

Multiple Choice

What is the slope based on the inequality?

 $y\le\frac{3}{4}x+3$  

• 3

•  $\frac{3}{4}$  

•  $\frac{3}{4}x$  

• -3

Multiple Choice

What is the y-intercept based on the inequality?

 $y\le\frac{3}{4}x+3$  

• 3

•  $\frac{3}{4}$  

•  $\frac{3}{4}x$  

• -3

Multiple Select

Select the ALL symbols you use a dashed (dotted) line for:

• <

• >

•  $\le$  

•  $\ge$  

• =

Multiple Select

Select the ALL symbols you use a solid line for:

• <

• >

•  $\le$  

•  $\ge$  

• =

Take a close look at the graph, I will ask you to tell me what the solution is in the next question.

Multiple Choice

What is the solution to the system in the previous image? (x,y)

• (-2, 0)

• (0, -2)

• (0,2)

• (2,0)

Poll

Check in: How are you feeling so far?

• Rocking it!

• Doing well

• I need some help

• I'm very lost

Multiple Choice

When both EQUATIONS have the same slope, does the system have a solution?

• Yes! Infinite solutions!

• No!! No solution!!

Multiple Choice

Which side do you shade when graphing an inequality?

• The side that makes the inequality true!

• The side that makes the inequality false

Multiple Choice

Pick the correct graph based on the system of Equations:

 $y=3x-4$  
 $y=-\frac{1}{2}x+3$  

Multiple Choice

Pick the correct graph based on the system of Equations:

 $y=-2x+2$  
 $y=-2x-2$  

Multiple Choice

Pick the correct graph based on the system of Equations:

 $y=-\frac{1}{2}x-1$  
 $y=\frac{1}{4}x-4$  

Multiple Choice

Pick the correct graph for the system of inequalities:

 $y\ge-\frac{3}{2}x-1$  
 $y\le-\frac{1}{2}x+1$  

Multiple Choice

Pick the correct graph for the system of inequalities:

 $y\ge\frac{2}{3}x+3$  
 $y>-\frac{4}{3}x-3$  

Find ALL the points that make this system of inequalities true! (write them down)

Multiple Select

Which points satisfy the system of inequalities?

• A

• B

• C

• D

• E