Graphing
Systems of
Inequalities 1
Inequalities 1
Systems of Inequalities 2
Substitution
Random
100
What is the solution to the system?
y = 2x + 2
y = x - 1
(3,-4)
100
when graphing linear inequalities what does < and > mean
Use a Dotted Line
100
what does ≤ and ≥ mean when graphing linear inequalities
solid line
100
Solve the systems of equations:
-3x + 4y = -2
y = -5
(-6, -5)
100
Is the given point a solution to the system of equations?
Point: (2,6)
x + y = 8
3x - y = 0
Yes
200
What is the solution to the system?
y = 2x + 5
y = x + 3
(-2,1)
200
systems of inequalities can only be solved ______
graphically
200
How is graphing systems of inequalities different than graphing systems of equations?
they use dotted lines sometimes and you have to shade to find the solution
200
Solve.
y=-2x+5
y=3x-10
(3,-1)
200
What is the first step in solving this system?
-6y + 2 = -4x
y - 2 = x
First step, substitute the x into the top equation.
300
What is the solution to the system?
3x - 2y = 8
x + y = 6
(4,2)
300
y<=1/2x+5
y<1/2x+5
Is (-10,0) in the solution set of the above system? Why?
No, because (-10,0) is on the dotted line of the second inequality.
300
Graph the system of inequalities.
y >2
y < 2x - 4
Is (0,0) a solution to the system? Why?
No
300
Solve the systems of equations:
-5x - 5y = 10
y = -4x -17
(-5, 3)
300
Given the systems of equations
is (3,-1) a solution? Why or why not?
y = -2/3 x + 1
2x + 5y = 6
No it is not a solution because it does not make both equations true.
400
What is the solution to the system?
y = 1/2x + 2
y = 1/4x + 4
(8,6)
400
Graph the system of inequalities.
y < 5x - 1
y > 3x + 12
Is (-10,-40) in the solution set? Why?
No, because (-10,-40) is not in the overlapping shaded region.
400
y ≤ x − 2
y > −3x + 5
Is (5,2) a solution to the system?
400
Solve the systems of equations:
y = -2x - 9
3x -6y = 9
(-3, -3)
400
Is the given point a solution to the system of equations?
Point: (1/2, -2)
6x + 5y = -7
2x - 4y = -8
No
500
What is the solution to the system?
4x - 5y = 15
8x + 5y = 45
(5,1)
500
Graph the system of inequalities.
2x-3y<=-2
y>=-4x+24
is (5,4) a solution to the system? Why?
Yes, (5,4) is a solution to the system because the point is on the solid line of both inequalities.
500
250x+50y<=4500
500
Solve the systems of equations:
-8x - 5y = -24
-x + y = 10
(-2, 8)
500
Bill went to the movies and bought himself and his family somethings to eat. Each soda pop cost $7 and each candy bar cost $5. If he spent $58 on 10 items, how many of each item did she buy.
- Solve the story problem and explain what the solution means. Be sure to use words in your explanation from the story problem and label your answers.
This means we can buy 4 popcorns and 6 candy bars and they will cost exactly $58. We also have exactly 10 items if we buy 4 popcorns and 6 candy bars.