Linear Functions and Inequalities
What is Slope intercept form?
f(x)=mx+b
What are the three ways to solve systems of equations?
Subsititution, Graphing, and Elimination.
What is the domain of a function?
x-values, inputs
What is standard form of a quadratic function?
f(x)=ax2+bx +c
What are the 5 methods for solving quadratic equations?
graphing, factoring, square roots, completing the square, quadratic formula
Solve this linear inequality: 6 - 2y < 10
y > -2
How many solutions do these equations have?
y=2x-4 & y=2(x-2)
Infinitely many solutions
What is a Function?
A function is a specific type of relationship where each input maps to exactly one output.
x = -b/2a
Solve the following equation:
(7x-1)(x-3)=0
x=1/7
x=3
What is the slope and y-intercept in: y = 2/3x - 10
m = 2/3
b=-10
What is the solution to the following equations?y=2x+4 & y=-x-2
(-2,0)
What is a Relation?
A relation is a relationship between sets of elements or sets of numbers.
What is the vertex for y = 2x2+4x+1
(-1, -1)
Solve the following: 4x2=24x
x=0
x=6
What is the equation for Point Slope Form?
y-y1=m(x-x1)
What is the solution to these two equations?
10=x+4y & 15=x+9y
(6,1)
What type of function is this?
f(x)=3|x|
This is an Absolute Value Function
Factor: x2 - 6x - 16
(x-8)(x+2)
Solve: 3x2-9x=-6
x=2
x=1
What is the equation for Standard Form?
Ax+By=C
When does a system have no solutions?
If the lines are parallel (same slope)
f(x) = 3x - 2
What is x when f(x) = 7
x = 3
Factor: 3x2 +16x +5
(3x+1)(x+5)
Solve: x2-15x+44=0
x=11
x=4