Classifying Systems
Solving by Graphing
Inequalities
Solving Algebraically
Misc.
100
Determine if the graph shows a system of linear equations that is dependent, independent, or inconsistent.
Independent
100
Decide whether the given ordered pair is a solution of the system of equations.
y=2x-1
y=1/3x+4
(3,5)
Yes
100
Which point would be a solution to the system of linear inequalities shown below?
(12,4), (0, -2), (6, -7), (-12, 7)
y>-5/6x+2
y<5x-1
(12,4)
100
Solve the system of equations using the substitution method.
x=y+1
3x+2y=18
(4,3)
100
What are the solution(s) for the system shown below?
(-1,0), (0,1), (1,2)
200
Determine if the graph shows a system of linear equations that is dependent, independent, or inconsistent.
State how many solutions there are for the system.
Dependent
Infinitely many solutions
200
Solve the following system of equations by graphing.
y=x+8
y=-3/2x-7
(-6,2)
200
Solve the system of inequalities graphically.
y<x-1
y<-1/3x+7
*Answer checked on whiteboard*
200
Solve the system of equations using the substitution method.
x-3y=-10
3x+2y=14
(2,4)
200
State the best method to solve the system of linear equations and then solve.
x=y-1
3x+y=13
Substitution
(3,4)
300
Classify what type of system is shown below.
State how many solutions there are for the system.
Inconsistent
No solutions
300
Solve each system of equations by graphing.
y=1/6x+5
4x+3y=-12
(-6,4)
300
Put the following system of inequalities in a graphable form.
2x-4y>8
y<1/2x-2
300
Solve the following system using elimination.
4x-y=11
2x-4y=-26
(5,9)
300
State the best method to solve the system of linear equations and then solve.
-3x+y=-5
-6x+2y=-10
Elimination
Infinitely Many Solutions
400
Algebraically determine if the two lines in the system of equations are dependent, independent, or inconsistent.
State how many solutions there will be for the system.
x+y=-9
3x+2y=-20
Independent
One solution
400
Solve the system using any method.
x+2y=-7
2x-3y=0
(-3,-2)
400
Graph the system of inequalities below.
2x-y<=-6
y<2/3x+4
*Answer shown on whiteboard*
400
Solve each system of equations using the elimination method.
2x+5y=1
3x-2y=11
(3,-1)
400
Answer the question by setting up and solving a system of equations.
A farm stand sells apples and strawberries. Each pound of apples sells for $2 and each pound of strawberries sells for $3. Aiden made $80 from selling a total of 35 pounds of apples and strawberries.
2a+3s=80
a+s=35
(25,10)
After 4 hours the rentals cost the same amount of $18.