bell work3/2/2015 graph. 2) graph. find m and b first. 3) solid or dashed? 4) shade above or below...
TRANSCRIPT
Bell Work 3/2/2015
21. 3
3y x
2
3m
3b
Graph.
2) Graph. Find m and b first.
3) Solid or Dashed?
4) Shade above or below the y-intercept.
1) Put in slope-intercept form.
b = beginning
m = move
Dashed
Below
Yesterday’s Homework
1. Any questions?2. Please pass your homework to the front.
• Make sure the correct heading is on your paper.• Is your NAME on your paper?
• Make sure the homework is 100% complete.• Incomplete work will NOT be accepted.
Solving Systems of Linear Inequalities
04/19/23
Heading
TSWBAT: solve a linear system of inequalities by graphing.
Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.
6.7
Notes
1. Write the equation in slope-intercept form.
2. Graph the y-intercept and slope.
3. Draw the line (solid or dashed). , Dashed line
, Solid line
• Steps to Graphing Linear System Inequalities
, Above y-intercept
, Below y-intercept
4. Lightly shade above or below the y-intercept.
5. Graph the other equation.
6. Darkly shade overlap.
Notes
21
34
53
y x
y x
Ex.
Graph the system of linear inequalities.
2) Graph. Find m and b.3) Solid or dashed?
4) Lightly shade above or below the y-intercept.
1) Put in slope-intercept form.
5) Do the same for the other equation.6) Darkly shade overlap.
2
3m 1b
4
3m 5b
Solid Below
Dashed
Above
Notes
15
23 2
y x
y x
Ex.
Graph the system of linear inequalities.
2) Graph. Find m and b.3) Solid or dashed?
4) Lightly shade above or below the y-intercept.
1) Put in slope-intercept form.
5) Do the same for the other equation.6) Darkly shade overlap.
1
2m 5b
3
1m 2b
Dashed Above
Dashed
Above
Now you try.
Notes
2 4
2 12
x y
x y
Ex.
Graph the system of linear inequalities.
2
1m 4b
1
2m 6bDashed
AboveSolid
Below
2 4x y 2 12x y 2 2x x
2 4y x x x 2 12y x 2 2 2
16
2y x
Notes
3 2 8
6 2 10
x y
x y
Ex.
Graph the system of linear inequalities.
3
2m 4b
3
1m 5b
Solid
Below
Dashed
Above
3 2 8x y 6 2 10x y 3 3x x 2 3 8y x 2 2 2
34
2y x
6 6x x 2 6 10y x 2 2 2
3 5y x
Now you try.
Summary
To solve a system of ______ inequalities first put both equations into slope-________ form. Next find the m and b and plot your points. Make a _____/dashed line and then shade above/______ according to the sign. Do the same for the other equation. Now darkly ______ the overlap.
linearintercept
solidbelow
shade
Today’s Homework
1. Pencil ONLY.2. Must show all of your work.
• NO WORK = NO CREDIT3. Must attempt EVERY problem.4. Always check your answers.
Rules for Homework
Homework 6.7
15
21.1
24
y x
y
24
32.1
13
y x
y x
37
23.2
43
y x
y x
2 24.
3 7
y x
y x
3 25.
2 8
y x
y x
4 36.
2 9
y x
y x
3 127.
2 3 6
x y
x y
4 2 108.
3 4
x y
x y
2 69.
2 7
x y
x y
Graph the system of linear inequalities.
Complete the Ticket Out the Door without talking!!!!!
Talking = time after the bell!
Ticket Out the Door
Put your NAME on the paper.
When finished, turn your paper face DOWN.
Graph the system of linear inequalities.
21
32 7
y x
y x