Graphical Solutions
Functions
Substitution
Spiral Review
More Practice
100
If you are looking at a graph of two lines, what is the "mathematical" name for the exact spot where they cross/ intersect?
POINT OF INTERSECTION / ORDERED PAIR
100
What is the solution to the equation f(x)=g(x)?
x=
x=1
100
Use substitution to determine the solution to the system of equations.
-6x-3y=0
y=4x+18
(-3,6)
100
What is the solution to the following system of equations?:
NO SOLUTION
100
The tables for the functions f(x) and g(x) are shown below.
What is the solution to the system of equations where f(x)=g(x)?
Enter your answer using coordinates: (x,y).
(1,-1)
200
Look at the graph. At what (x,y) coordinate do the two lines finally meet?
(1,-1)
200
What is the solution to the equation f(x)=g(x)?
Write the solution as an ordered pair: ________
(1,4)
200
Use substitution to determine the solution to the system of equations.
3x-y=23
y=3x-23
INFINITE SOLUTIONS
200
What is the solution to the equation h(x) = g(x) .
x=
x=3
200
Find slope given a table:
slope (m) = 2
300
If you graph two equations and they end up being the exact same line (one drawn right on top of the other), how many solutions are there?
Infinitely Many Solutions
300
Solve f(x) = g(x).
If f(x) = 3x+2 and g(x) = -x-2, what x-value makes them equal?
x=-1
300
Use substitution to determine the solution to the system of equations.
x=y-4
2x+y=7
(1,5)
300
Solve for the following absolute value inequality:
|\frac{x}{2} + 1| \leq 5
-12<=x<=8
x>=-12 and x<=8
300
Given functions f(x) and g(x) defined below, what is the solution to the equation f(x)=g(x)?
x=
x=-2
400
In a graph, if the lines are parallel (they have the same steepness). How many times will they ever touch? What will the solution be?
Zero times!
NO SOLUTION
400
Given the functions f(x)=3x+7 and g(x) g(x)=3x−1 , are the two functions ever equal?
No, f(x) never equals g(x).
NO SOLUTION!
400
Use substitution to determine the solution to the system of equations.
y=4x+1
5x-y=9
(10,41)
400
Solve for the following absolute value inequality:
|\frac{x}{4} - 2| \leq 3
-4<=x<=20
x>=-4 and x<=20
400
Find slope given two points:
(-13,16) and (-8,-4)
m=-4
500
You are given the equations
7x - y = 18 and y = 7x - 18
If you were to graph these two equations on the same grid, what would the graph look like, and how many solutions would you find?
infinitely many solutions
500
When solving f(x) = g(x), Lucy found that x = -4. What is the y-value of the meeting point? Is Lucy correct?
f(x)=3x-4
g(x)=-4(2x-10)
x is not equal to -4 ! x = 4.
The y-value is 8!
(4,8)
500
Use substitution to determine the solution to the system of equations.
*Hint for one equation solve for y!
3x+2y=16
x-y=2
(4,2)
500
Indicate whether the functions are increasing or decreasing.
Function A is INCREASING.
Function B is DECREASING.
Function C is INCREASING.
500
Write the equation of the line given a table:
y=2x+10