One-Variables
All about Systems of Equations
Graphing
Substitution
Types of Solutions
Random
100
8n=16
n=2
100
What is a LINEAR equation?
An equation that when graphed, creates a straight line.
100
How many solutions are represented in the graph?
1 solution
100
What does the word "substitute" mean?
To exchange/trade/etc.
100
How many solutions can a system of linear equations have?
one, none/zero, or infinitely many solutions
100
an object's resistance to change it's state of motion
INERTIA
200
3p+8=35
p=9
200
True or False:
It does not matter which method you use when solving systems of linear equations because they will all give you the same answer.
True
200
14) What is the solution to the system of linear equations?
(2,2)
200
What is the first step when solving a system of linear equations using the SUBSTITUTION method?
Isolate the variable
200
How many solutions will a set of parallel lines have?
Zero
200
Name one of Ms Heather's cat's names
Steven, Lula or Killian
300
1/2x+140=42
x=-196
300
What does it mean to "find the solution" to a system of linear equations?
It means to find the point (x and y value of) where the 2 lines intersect.
300
Solve by graphing:
y=-2x+5
y=3x
(1, 3)
300
y=4x
2x-y=5
What is the next step in solving the above system of equations?
2x-(4x)=5
Combine like terms (& solve for x).
300
What is the solution to the system of equations in the graph below?
No solution
300
s=5
400
3h+2+7h+h+9=14
h=3/11
400
At least how many linear equations will be in a system of linear equations?
At least 2 linear equations
400
Solve by graphing:
y=1/2x -5
y=x+1
(-12, -11)
400
Use the substitution method to solve the system of linear equations:
y=2x
3x+y=20
Solution: (4,8)
400
What is the solution to the system of linear equations?
Infinitely many solutions
400
Function or NOT a function?
NOT
500
1/2(6x-12)+1/3(27x+9)=57
x=5
500
So far we have learned 2 different methods for solving systems of linear equations. What are they?
Graphing and substitution
500
Solve by graphing:
y=2/3x+6
2x+3y=12
(-1.5, 5)
500
Use the substitution method to solve the system of linear equations:
2x+3y=13
y=x+1
(2, 3)
500
How many solutions does this system of linear equations have?
y=-2/3x+6
2x+3y=12
No Solution
500
What is the AREA of this circle? In terms of pi.
36 pi