Systems of
Equations 1
Equations 1
Systems of
Equations 2
Equations 2
Vocabulary
Systems of
Inequalities 1
Inequalities 1
Systems of Inequalities 2
100
x + 3y = 7
8x - 3y = 2
(1,2)
100
What is the solution to the system?
y = 2x + 2
y = x - 1
(3,-4)
100
what are 3 methods of solving systems of equations?
elimination
graphing
substitution
100
Graph the system of inequalities.
y >2
y < 2x - 4
Is (0,0) a solution to the system? Why?
No
100
when graphing linear inequalities what does < and > mean
Use a Dotted Line
200
4x - 3y = 16
5x + 3y = 20
(4,0)
200
What is the solution to the system?
y = 2x + 5
y = x + 3
(-2,1)
200
What type of solution do parallel lines have?
No Solution
200
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.
200
what does ≤ and ≥ mean when graphing linear inequalities
solid line
300
-2x - 9y = -25
-4x - 9y= -23
(-1,3)
300
What is the solution to the system?
3x - 2y = 8
x + y = 6
(4,2)
300
How can you tell if a linear system has infinitely many solutions?
the equations are the same and the lines lie on top of each other
300
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.
300
systems of inequalities can only be solved ______
graphically
400
4x - 9y = 2
12x - 5y = -38
(-4,-2)
400
What is the solution to the system?
y = 1/2x + 2
y = 1/4x + 4
(8,6)
400
What are the three types of solutions to a system of equations?
one solution
no solution
infinite solutions
400
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.
400
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
500
The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected from school concert tickets sales during two class periods. If x represents the cost for each adult ticket and y represents the cost for each student ticket, what is the cost for each adult ticket?
x=8
500
What is the solution to the system?
4x - 5y = 15
8x + 5y = 45
(5,1)
500
What happens to the inequality symbol when you divide both sides by a negative number?
Flip the inequality symbol
500
250x+50y<=4500
500
Graph of the system using Desmos.
y ≤ x − 2
y > −3x + 5
Is (5,2) a solution to the system?
