Vocabulary:
A solution of a system of inequalities is a solution of ____
of the inequalities in the system.
A- One
B- All
What is (B-All)
100
Special Systems: Solve, and give how many solutions;
y=-x+4
x+y=4
What is (Infinitely many solutions)
200
Solve:
x+4y=6
x+y=3
What is (2,1)
200
Solve:
2x+3y=12
5x-y=13
What is (3,2)
200
Solve:
y=-x+3
x+y-3=0
What is (infinitely many solutions)
200
Tell if the ordered pair is a solution of the given system.
(0,0)
y<3
y>x-2
What is (Yes, it is a solution)
200
Elimination; Solve:
x=2y=-1
x+y=2
What is (5,-3)
300
Solve:
y=2x
y=x+5
What is (5,10)
300
Solve:
x+2y=5
3x+2y=17
What is (6,-1/2)
300
Classify Each System, Give the Number of Solutions:
y=-3x-1
3x+y=1
What is (Inconsistent, No solutions)
300
Tell if the ordered pair is a solution of the given system.
(0,0)
x+y<3
y>3x-4
What is (Yes, it is a solution)
300
Vocabulary: An______ is a system that has exactly one solution.
A- Dependent system
B- Linear inequality
C- Independent system
D- consistent system
What is (C- independent system)
400
Solve:
-x+y=4
3x-2y=-7
What is (1,5)
400
Solve:
5x+2y=-1
3x+7y=11
What is (-1,2)
400
Which of the following would be enough information to classify a system of two linear equations?
A- the graphs have the same slope
B- the y-intercepts are the same
C- the graphs have different slopes
D- the y-intercepts are different
What is (A, the graphs have the same slope)
400
Review: Tell if the set of ordered pairs satisfy a linear function;
(6,1), (7,2), (8,4), (9,7), (10,11)
What is (No,they do not satisfy a linear function)
400
Substitution: Solve;
y=x+3
y=2x+12
What is (-9,-6)
500
Solve:
y=1.2x-4
2.2x+5=y
What is (3,-2)
500
Solve:
7x-12y=-22
5x-8y=-14
What is (2,3)
500
Classify each system, give the number of solutions:
y=-3x+2
y=3x
What is (Consistent, independent, one solution)
500
Review: Tell if the set of ordered pairs satisfy a linear function;
(1,-9), (3,-7), (5,-5), (7,-3), (9,-1)