Conceptual
What is a solution to an equation?
A solution is the number or set of numbers that makes the equation true.
For an equation to be a function, every input must have exactly one output. (Passes the vertical line test)
Solve for x. 4(x-10)=120
x=40
Simplify the following Expression.
(2x3y4)6
64x18y24
Find the slope of the two points: (-2,3) (6,-9)
-3/2
What does the line of an equation represent?
All possible solutions to a particular equation.
What is the domain AND range or a function?
The domain is all the possible x-values that a function has.
The range is all the possible y-values that a function has.
Solve for x. 3x-2(6x+14)-10=34
x=-8
Simplify the following Expression.
4x7/8x2
x5/2
Find the slope of the following two points. (5,6) (-4,-12)
2
What is a solution to a system of equations?
The point in which both equations share.
Create a table for the following function: f(x)=x2+6. Let your x values be {-2, -1, 0, 1, 2}
(-2, 10) (-1, 7) (0,6) (1,7) (2,10)
x=-5
Simplify the following Expression.
(2x+1)(6x2+5x-7)
12x3+16x2-9x-7
Write an equation in slope-intercept form using the given points. (8,-5) (-4,4)
y=(-3/4)x+1
What are intercepts on a graph?
Where the line crosses one of the axes (x-axis, y-axis)
Create a table for the function: f(x)=-2x+26. Let your x values be {0, 1, 2, 3, 4, 5}
(0,25) (1,24) (2,22) (3,18) (4,10) (5,-6)
Solve the system using substitution.
2x-4y=-4
y=7x-25
(4,3)
Simplify the following Expression.
(x2-x-1)(2x2+2x+2)
2x4-2x2-4x-2
Write an equation in slope-intercept form using the given points. (-6,8) (2,0)
y=-x+2
What does the slope of an equation represent and how do you find it?
The slope is the rate a change of the equation.
You find the slope using the slope formula, (y2-y1)/(x2-x1)
What is the vertex for the following function: f(x)=67(x-8)2-9.
Vertex (8,-9)
Solve the system using Elimination.
8x-2y=10
2x+2y=20
(3,7)
Simplify the following Expression.
(16x10y3/3z7)
(16x10y3/3z7)
Write an equation in slope-intercept form using the given points. (6,4) (-4,-46)
y=5x-26