Solving Systems A
Solving Systems B
Systems of 3
Systems of Inequalities
100
Solve the system for x.
x=-2
100
Solve for x and y using elimination.
(6,-6)
100
Solve the system
2x+y-2z=20
4y=-8
z=-3
x=8
y=-2
z=-3
100
B (1,3)
200
Solve the system.
(1,2)
200
Solve the system.
(2,1)
200
Sarah, Jen, and Brady go to the Tiger Shop. Sarah buys 1 t-shirt, 2 pairs of shorts, and 1 hat for a total of $32. Jen buys 2 t-shirts, 1 pair of shorts, and 3 hats for a total of $47. Brady buys 3 t-shirts, 1 pair of shorts, and 1 hat for $39.
Write a system of equations. Us t for t-shirt, s for shorts, and h for hat.
1t+2s+1h=32
2t+1s+3h=47
3t+1s+1h=39
200
Write the system of inequalities shown in the graph. (hint: y=mx+b might help)
y>2x-4
y<=-1/2x
300
Solve the system.
12x+2y=10.5
6x+y=4.5
No solution
300
52
300
x+y+z=6
2x-y+z=4
4z=8
z=2, x=2, y=2
300
B (1,-3)
400
The Bennett family and the Cole family are going to go see a movie together. The Bennetts purchase 1 adult ticket and 3 child tickets for a total of $42. The Coles purchase 2 adult tickets and 2 child tickets for a total of $45. How much does each type of ticket cost?
adult: 12.75 child: 9.75
400
Bobbi needs to rent a moving truck. She has been shopping around for the best deal. Vans-R-Us charges an hourly rate for the rental. Move-With-Us requires a flat fee of $50 plus an hourly rate. According to the graph, what is the hourly charge of each place?
Vans-R-Us: $15
Move-with-us: $10
400
x+y+z=6
3x+y-z=2
y=2x
x=1, y=2, z=3
400
On Fridays, Hillcrest sells two different food items: pizza slices and breadsticks. Each slice of pizza costs $2 and breadsticks cost $1 each. They always make at least $200. They also know that they sell at least twice as many pieces of pizza as breadsticks.
Write a system of inequalities. Use p for pizza and b for breadsticks.
2p+b>=200
p>=2b