Interval Notation
Solving Equations and Inequalities
Solving Systems of Linear Equations by Graphing
Solving Systems of Linear Inequalities by Graphing
Linear Programing
100
What is (-∞,4) as an inequality?
x<4
100
7y≥-14
y≥-2
100
What is the solution to this system of equations?
(1,3)
100
Tell whether (0,3) is a solution of the system of linear inequalities
It is a solution
100
What is the function that we desire to maximize or minimize?
Objective Function
200
What is x≤9 in interval notation?
(-∞,9]
200
2(x + 5) > 14
x > 2
200
Write the equation of the line with a slope of 2/3 and a y-intercept of 6.
y=2/3x+6
200
Tell whether (-1,3) is a solution of the system of linear inequalities.
It is not a solution
200
What is the maximum value of the objective function C=7x+4y subject to the following constraints
x≥0
y≥0
4x+3y≤24
maximum value is 42 at the point (6,0)
300
Graph the interval (-∞,2)
300
78 = 3c + 12 - c + 4
c = 31
300
Tell whether the ordered pair (-3,-2) is a solution of the system of linear equations
2x-y=-4
x-y=-1
The ordered pair is a solution
300
Draw the graph that represents the system of linear inequalities
y≤ -x+4
3y>4x+12
300
What is the minimum value of the objective function C=x+6y subject to the following constraints
x≤ 4
y≤ 2
2y+x≥4
the minimum value is 4 at (4,0)
400
Write an inequality that represents this graph
x≥-2
400
2z+3≤ 4z-7
z≥ 5
400
Is (2,-4) a solution to the system of linear equations?
14x-4y=-4.5
y=3x+0.25
(2,-4) is not a solution
400
Draw the graph that represents the system of linear inequalities
-3x+2y>6
6x-4y>8
y>3/2x+3
y<3/2x-2
400
What is the maximum and minimum value of the objective function P=-3x+10y subject to the following constraints
x≥ 0
y≥ 2
2x+3y≤ 18
the maximum value is 60 at the point (0,6)
the minimum value is 2 at the point (6,2)
500
Solve the inequality. Write the solution in interval notation AND graph it on a number line.
-2x≤2
[-1,∞)
500
DOUBLE POINTS
-7k + 8 - 2(k + 12) < -52
k > 4
500
Determine the solution to this system of linear equations
2x-y=2
2x+y=6
(2,2)
500
DOUBLE POINTS
Write a system of linear inequalities represented by the graph
y>2x-4
y≤1/2x-1
500
What is the maximum and minimum value of the objective function P=3x-2y subject to the following constraints
x≤5
y≤4
x+y≥2
the maximum value is 21 at the point (5,-3)
the minimum value is -14 at the point (-2,4)