Type the equation of the line in the graph below. y=mx+b
Question 2
2.
Type in a point (x,y) that lies on this line.
Question 3
3.
Does(1,3) lie on this line?
Question 4
4.
Click the graph tab.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
Recall that a solution to an equation is a (x,y) point that lies on the line of the equation and therefore makes the equation true.
For Example:
Question 5
5.
Is (1,3) a solution to the equation y=x+2?
Question 6
6.
Type y<x+2 in the textbox below to see its graph.
Then sketch an accurate graph on your notes sheet & answer the questions below it.
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 7
7.
Select EVERYTHING that's true about the graph of the inequality (#6) y<x+2.
Question 8
8.
Is (1,3) a solution to the inequality? y<x+2?
Notice in the example below, when = changes to < the point on the line is no longer a solution.
Question 9
9.
Type y\le x+2 in the textbox below to see its graph.
Then sketch an accurate graph on your notes sheet & answer the questions below it.
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 10
10.
Select EVERYTHING that's true about the graph of the inequality (#9) y\le x+2.
Question 11
11.
Is (1,3) a solution to the inequality? y\le x+2?
Notice in the example below, when = changes to \leq the point on the line is still a solution!
Question 12
12.
Type y> x+2 in the textbox below to see its graph.
Then sketch an accurate graph on your notes sheet & answer the questions below it.
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 13
13.
Select EVERYTHING that's true about the graph of the inequality (#12) y>x+2.
Question 14
14.
Is (1,3) a solution to the inequality? y> x+2?
Question 15
15.
Type y\geq x+2 in the textbox below to see its graph.
Then sketch an accurate graph on your notes sheet & answer the questions below it.
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 16
16.
Select EVERYTHING that's true about the graph of the inequality (#15) y\geq x+2.
Question 17
17.
Is (1,3) a solution to the inequality? y\geq x+2?
Let's make some conclusions...
Question 18
18.
If the symbols in an inequality are < or > will the line on the graph be solid or dotted?
Question 19
19.
If the symbols in an inequality are \leq or \geq will the line on the graph be solid or dotted?
Question 20
20.
If the symbols in an inequality are < or \leq will the graph be shaded above or below the line?
Question 21
21.
If the symbols in an inequality are > or \geq will the graph be shaded above or below the line?
Question 22
22.
What does the shaded region on a graph represent?
Question 23
23.
Match each graph with its inequality.
y<-x+1
y\leq -x+1
y>-x+1
y\geq -x+1
Use this chart to fill in the bottom left graphs on your notes sheet.
Question 24
24.
Click 'Show Your Work' and graph the inequality. Then select the point that is a solution to the inequality.
*Clearly show if your line is dotted or solid!
*Clearly show shading above or below the line!
Question 25
25.
Click 'Show Your Work' and graph the inequality. Then select the point that is a solution to the inequality.
*Clearly show if your line is dotted or solid!
*Clearly show shading above or below the line!
Now it's time for the main event...graphing SYSTEMS of inequalities!!!
Check out the process below. I also do two examples in the 5 minute video below. When you're ready to try some, turn your notes sheet over and start graphing!
Still unsure? Watch this 5 minute video.
Ask me to check your graphs in #24 and #25 (or compare them with a partner) before you submit!
