Equations and Inequalities
Our goal when solving basic equations is to _______.
What is get the variable by itself?
The graph of x2 passes the ________ test therefore it is a function.
What is the Vertical Line test?
The exponent on top of the x for a linear equation is always a ______.
What is a 1?
When adding polynomials we do this to the exponents.
What is keep them the same?
This is something that every quadratic equation must have.
What is an x2?
When dividing or multiplying by a negative number we do this to the inequality sign.
What is flip it?
We can graph any equation by doing this ______.
(Hint: If you had no idea of how to graph an equation what would you do)
What is creating a table of values?
The graph of a linear equation is always a ________.
What is a straight line?
When dividing polynomials we do this to the exponents.
What is subtract?
The vertex of the equation 4x2 + 8x is _________.
What is (-1,-4)?
We read the sentence 3 > x as this.
What is three is greater than x?
The following equation is a not function. True or False?
(Hint: Graph it if in doubt!)
y = 3x - 2
What is False?
Write a linear equation with a slope of 3 and a y-intercept of -10.
What is y = 3x -10?
What is the following expression equivalent too?
(3x2 + 7x2) * (10x3)
What is 100x5?
Find the zeros of the following quadratic equation.
y = x2 - 3x - 18
What is (-3,0) and (6,0)?
Combine these like terms and then solve the equation for y. y = x(x + 3 - 3) - x2 +7
What is y = 7?
Is the following equation a function?
y = .899887x2 + 7464747x - .98011129
(Hint: Think of what shape the graph will make)
What is Yes?
The slope of the following linear equation is _____.
-7 + 2x = 2y -1
What is 1?
Simplify the following expression.
9x2 - 5x2 + (4x3 * x7) - (2x2)3
What is 4x2 + 4x10 - 8x6?
Find the zeros AND vertex of the following equation (both must be correct to get points).
y = 2x2 - 8x
What are Zeros = (0,0) and (4,0)
and
Vertex = (2, -8)?
Solve the following inequality. Write your answer in words.
3x - 8 > 6x + 10
What is x < -6 (x is less than negative six)?
Graph the following equations as accurately as possible. Graph them on the same piece of paper.
y = x
y = x2 - 2x - 8
Check.
This is the slope and y - intercept of the following equation. (Must get both correct for points)
6 + 2x = -3y - 18
Slope = -2/3
y - intercept = -8
Create a division problem, incorporating polynomials, that gives a solution of 3x5.
Check (ex. 9x9/3x4)
Give an example of a quadratic equation that has zeros of (3,0) and (4,0).
Check (ex. x2 - 7x +12)