Solving Equations
5x+4=14
x=2
2x<4
x<2
What is a function?
When every input has exactly one output
What is slope-intercept form?
y=mx+b
What does the solution of a system of equations look like?
An ordered pair (x,y)
3x-8=11x
x=-1
3x-7<-4
x<1
What is f(4) when f(x)=3x-10
f(4)=2
What is the slope and y-intercept of the following equation?
y=-2/3x+7
m= -2/3 b=7
What is the online calculator that helps us find the solution to systems of equations?
3(x+4)=15
x=1
-2x<18
x>-9
What is f(-4) when f(x)=-2x+12
f(-4)=20
Give 2 examples of linear equations and one example of a nonlinear equation
Answers may vary
What are the three ways we can solve systems of equations?
Substitution, elimination, and graphing
7x+9x-8=15x-3
x=5
2(x+4)>-10
x>-9
Find is x when f(x)=3 if f(x)=3x+6
x=-1
Write the equation of a line parallel to y=1/2x+4 through the point (9, -3)
y+3=1/2(x-9)
Find the solution to this system
y=3x-5
x=7
(7,16)
3(x+5)-4=-2(9-x)
x=-29
Is 4 a solution to the following inequality?
3x<12
No, the answer needs to be less than 12 and 12 is equal to 12, not less than
Draw an example of a non-function on a graph
Answers may Vary (repeat in the domain)
Write the equation of the line perpendicular to
y= -2/3x+7 through the point (-2,5)
y-5=3/2(x+2)
Find the solution to this system
3x-7y=1
-3x+12y=9
(5,2)