Graphs
Algebraically
Solutions
Smarter than a 5th grader
Past Material
100
A coordinate point that makes an equation true is called a _____________.
Solution
100
rearrange the following equation for y
-y+2x=10
y=2x-10
100
What is the name for plugging values back into the original equation?
Substitution
100
The interior angles of a triangle have a sum of what?
180
100
log_5(125)=?
3
200
How many solutions are represented by the graph of the equation y=x-2
Infinite solutions
200
Find the solutions to the equations below.
y=2x-2 and y=x-1
x=1
or
(1,0)
200
What do we call a solution that does not make the equation true when we substitute it back into the equation?
Extraneous Solution
200
Identify the next number in the sequence:
81, 27, ___
3
200
find the inverse of the following.
y=2x-8
(x+8)/2=y^-1
300
Identify the solution to both graphs. 
(3,3) and (-2,-2)
or
x=3 and x=-2
300
Find the solutions to the equations.
y=3x+1 and x+y=5
x=1 or (1,4)
300
What do we look for on graphs to find solutions?
Intersecting points or intersection points, or connecting points.
300
How many minutes are there in one day?
720
300
How many times will the polynomial bounce off the x-axis?
y=(x+2)^2(x-1)^3(x-5)^4
twice
400
In what quadrants are the solutions to both graphs?
Quadrants 1 and 3
400
Find the x-value to the following systems:
-2y+x=4
2y+x=10
x=7
400
What type of graphs can give you two solutions or two intersection points?
A Parabola and a Line
A circle and a line
400
What is the third planet from the sun?
Earth
400
Combine the following:
34
500
Draw graphs that represent 0 solutions.
Your graphs should not touch.
500
Find the y-value to the following systems:
-2y+x=4
2y+x=10
y=3/2
500
When can you have infinite or many solutions?
when the lines are on top of each other
500
What country does this flag belong to?
France
500
Find the roots of the following equation:
y=(x^2+25)(x^2-9)
x=3, x=-3, x=5i, x=-5i