All about Systems of Equations
Graphing
Substitution
Test Review
Trivia
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
Select 2 points that are on the graph of the line 2x+4y=20
a. (0,5)
b. (10,0)
c. (1,4)
d. (5,0)
A and B
100
How many teeth do most adult humans have?
32
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
Han's cell phone plan costs $200 to start. Then there is a $50 charge each month. What is the total cost (start up fee and monthly charge) to use the cell phone plan for 1 month?
$250
200
In what year did the United States declare its independence?
1776
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
Find a point that fits on the blue line. Find a point that doesn't fit on the black line.
blue: (10,0) (0,5) etc.
black: (0,9) (-3,8) etc.
300
What are the primary colors?
red, yellow, blue
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
Change the blue equation to look like a linear equation.
y=2x+1
400
What is the largest mammal?
the blue whale
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
Write an equation for these lines:
1. y-intercept: 4, slope: -2
2. y-intercept: 9
3. y-intercept: 1, slope: -1
1. y=-2x+4
2. y=9
3. y=x+(-1)
500
When reading a book, what is it called when the conflict is resolved and loose ends are tied up?
resolution