Systems by Graphing
Systems by Substitution
Systems by Elimination
Systems of Inequalities
Applications
100
The solution to this system:
What is (1, 3)?
100
The solution of this system using substitution.
{(y=1/2x+4),(5x-2y=8):}
What is (4, 6)?
100
The solution of this system using elimination
{(x-y=10),(x+y=-6):}
What is (2, -8)?
100
Is the ordered pair (3, -2) a solution?
{(y<4x+1),(2x-5y>=16):}
What is YES!
100
At the bake sale on Saturday, the team sold 18 cookies and 24 brownies for $108. On Sunday, they sold 24 cookies and 24 brownies for $120. How much is each cookie and brownie?
Each cookie is $2 and each brownie is $3.
200
The solution of this system when graphed.
{(y=1/2x+1), (y=1/2x+5):}
What is No Solution?
200
The solution of this system using substitution.
{(x-5y=10),(2x+2y=8):}
What is (5, -1)
200
The solution of this system using elimination
{(3x-2y=10),(5x+8y=-6):}
What is (2, -2)?
200
The region that should be shaded for the solution.
What is Region 4?
200
For a fundraiser, the PTA is selling t-shirts for $10, and sweatshirts for $18. This week, they sold a total of 76 articles for $920. How many of each type did they sell?
They sold 56 t-shirts and 20 sweatshirts
300
The solution of this system when graphed.
{(y=1/2x-3),(y=-3/4x+2):}
What is (4, -1)?
300
The solution of this system using substitution.
{(y=2x-5),(6x-3y=15):}
What is Infinitely Many Solutions?
300
The solution of this system using elimination
{(8x+5y=11),(3x+5y=26):}
What is (-3, 7)?
300
The system that represents this graph.
What is
{(y<=x-1), (y> -1/2x+1):}
300
Katie is comparing the prices for two yoga studios. The first studio charges a membership fee of $80 and $15 per class. The second studio charges a $120 membership fee and $10 per class. After how many classes do they cost the same?
After 8 classes, both studios will cost $200.
400
The solution of this system when graphed.
{(3x+2y=-10),(3y=-x+6):}
What is (-6, 4)?
400
The solution of this system using substitution.
{(3x-5y=18),(y=-3x):}
What is (1, -3)?
400
The solution of this system using elimination
{(2x-3y=9),(5x+4y=11):}
What is (3, -1)?
400
The graph that represents the solution to this system.
{(2x+3y<9),(3x-y<=2):}
400
Naomi has collected 101 coins of quarters and dimes for Money Wars. If the total is $20.00, how many of each type of coin does she have?
She has 66 quarters and 25 dimes