Solve by Graphing
Solve by Substitution
Solve by Elimination
Word Problems
Linear Programming
100
y = -x + 5 and y = -2x + 3
What is (-2, 7)
100
x = 6 - 4y and 2x - 3y = 1
What is (2, 1)
100
7x - 4y = -30 and 3x + 4y = 10
What is (-2, 4)
100
Determine the value of two numbers if their sum is 11 and their difference is 3
What is x=7 and y=4
100
Determine the point that minimizes the objective function.... P = 2x-3y , also state the minimum value.
What is 0 at (0,0)
200
y = 3x - 5 and y = 7x - 5
What is (0, -5)
200
x = 2y - 6 and 2x - 4y = -12
What is Infinite Solutions
200
-4x - 2y = 20 and 2x + y = 4
What is No Solution
200
Eddie and Jen are selling cake for a school fundraiser. Customers can buy cheesecake and chocolate marble cake. Eddie sold 3 cheesecakes and 10 chocolate marble cakes for a total of $176. Jen sold 6 cheesecakes and 1 chocolate marble cake for a total of $86. How much does each type of cake cost?
What is cheesecake $12 and chocolate marble cake $14
200
Identify the vertices of the feasible region of the following graph.
What is (0,0), (0,3), (2,3), (3,0)
300
4x + 2y = 12 and 2x - y = - 10
What is (-1, 8)
300
y = 6x + 35 and 5x - 2y = -35
What is (-5, 5)
300
x - 3y = 6 and 2x + 3y = -33
What is (-9, -5)
300
Katie is shopping with her friends and spends $122 on 7 items of clothing. She purchased jeans that cost $21 each and shirts that cost $16 each. How many pairs of jeans and shirts did Katie buy?
What is 2 pairs of jeans and 5 shirts
300
Identify the vertices of the feasible region of the following graph.
What is (2,0), (6,0), (2,3), (6,1)
400
y < 5x - 1 and y > 5x + 4
What is no solution
400
3x + 3y = -18 and y = 4x + 14
What is (-4, -2)
400
x + 3y = -1 and 5x - 4y = -24
What is (-4, 1)
400
Tickets to a local dance competition are $15 for adults and $10 for students. The dance company made a total of $950 in ticket sales and sold 75 tickets to the competition. How many adults and students attended?
What is 40 adults and 35 students.
400
Determine the point that maximizes the objective function, P=10x-15y also state the maximum value.
What is 60 at (6,0)
500
x + y ≥ -3 and 2x + 2y ≤ -2
What is everything between the two parallel lines
500
7x - 5y = -19 and y = 2x + 2
What is (3, 8)
500
3x + y = 5 and 2x - 2y = -2
What is (1, 2)
500
Nate's school is selling tickets to a talent show. On the first day of ticket sales the school sold 6 adult tickets and 9 student tickets for a total of $108. The school took in $204 on the second day by selling 13 adult tickets and 12 student tickets. What is the price of each type of ticket?
What is $12 for adult tickets and $4 for student tickets
500
Determine the point that maximizes the objective function, P=-2x+5y also state the maximum value.
What is 11 at (2,3)