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System of Linear Inequalities and some Equations
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Kelly has 24 quarters and dimes worth $3.60. How many of each coin does she have?
8 quarters and 16 dimes
Solve: y=-4x+8 8x+2y=16
inf. many solutions
Solve: y=x+6 y=-2x-3
(-3,3)
A taxi charges 3 dollars per mile during the day and 2 dollars per mile at night. You want to spend at most 50 dollars in total and drive no more than 20 miles combined
3x+2y<=50 and x+y<=20
A farmer plants corn and wheat. The total acres planted should be at most 150 acres and corn acres should be at least 50
x+y<=150 and x>=50
A bakery can bake up to 80 items a day. Pies take 2 hours each and cakes take 3 hours each. The baker has at most 180 hours available. Write the system
x+y<=80 and 2x+3y<=180
Is (4, 10) a solution to the system of inequalities?
 
Yes
 
No
Is (1, 3) a solution to the system of inequalities?
 
Yes
 
No
Is (3, 2) a solution to the system of inequalities?
 
Yes
 
No
Is (4, 2) a solution to the system of inequalities?
 
No
 
Yes
Find the inequality from the graph
y < 3x - 4
Find the inequality from the graph
y < (-2/3)x + 3
Find the inequality from the graph
y > 4x - 2
Is (5, 1) a solution to the system of inequalities?
 
Yes
 
No
Is (1, 5) a solution to the system of inequalities?
 
No
 
Yes
Is (1, -2) a solution to the graphed inequality?
 
Yes
 
No
Is (1, 3) a solution to the graphed inequality?
 
No
 
Yes
Is (-4, -5) a solution to the graphed inequality?
 
No
 
Yes
Select the points that is NOT part of the solution set to the system of inequalities shown in the graph.
 
(0, -3)
 
(-4, 1)
 
(2, 1)
 
(-5, 5)
What value for x and y will satisfy the system of inequalities?
 
x = 6 and y = -2
 
x = 6 and y = 0
 
x = 1 and y = -1
 
x = 0 and y = 2
Given the graph of the following system of linear inequalities, which region should be shaded?
 
4
 
3
 
2
 
1
Given the graph of the following system of linear inequalities, which region should be shaded?
 
1
 
2
 
3
 
4
Determine if (4, 5) is a solution to this system of inequalities
 
No (4, 5) is not a solution
 
Yes (4, 5) is a solution
Which ordered pair is a solution to this inequality?
 
(3, 0)
 
(3, 4)
 
(2, 1)
 
(1, 1)
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