EP1
Exponent Properties
Exponent Properties
GEI1
Generating Equations
Generating Equations
SYS1
System of Equations
System of Equations
FE2
Factoring Expressions
Factoring Expressions
GF3
Graphing Quadratics
Graphing Quadratics
100
x6x12
x18
100
What is the equation for a linear function?
What is the equation for an exponential function?
Linear: y = mx + b
Exponential: y=abx
100
What does the solution to a system of equations look like?
Both an x and a y
"A solution system of equations is a point of intersection"
100
What "tools" do we use to factor standard form quadratic expressions
y = ax2 + bx + c
Generic Rectangle and Diamond
100
Where in a standard form quadratic equation is the y-intercept located?
y = ax2 + bx + c
y = ax2 + bx + c
The c value!
200
x^3 / x^5
1/x^2
200
A line passes through point (12, 32). What information does this give you?
Graph is a line, so equation is y = mx+b
Point gives an x and y value:
x = 12 and y = 32
200
What method would you use to solve the following system of equations? How do you know?
5x + 12y = 9
7x - 12y = 13
Elimination Method because there are opposites
200
Find the Area as a Sum and Area as a Product for the following generic rectangle:
200
The factored form of a quadratic equation is
y = (x + 7) (3x - 9)
What are the x - intercepts?
x = -7
x = 3
Set factors equal to zero and solve for x
300
(2x5)4
16x10
300
What is the multiplier for the table below:
b = 128/32 = 4
300
Which method would you choose to solve the following system of equations? Explain why.
6x + 2y = 12
4x + y = 18
Either method can be correct
Substitution: Solve for y then plug in
Elimination: Multiply bottom equation by -2 to make opposites.
300
Is factoring out a greatest common factor the same as factoring completely?
For example, is 2(x2 + 5x + 6) the completely factored form of 2x2 + 10x + 12?
No, factoring out a greatest common factor is not the same as factoring completely. It is a good first step, but you may have to factor more using a generic rectangle and diamond:
Ex:
2x2 + 10x + 12 = 2(x2 + 5x + 6) = 2(x + 3)(x + 2)
300
What is the vertex of the following factored form quadratic?
y = (x - 4)(x + 2)
x-value:
(4 + (-2))/2 = 1
y - value: (1 - 4)(1+2) = (-3)(3) = -9
Vertex: (1,-9)
400
(x^2y^11)/(x^4y^8)
y^3/x^2
400
A line passes through point (4,7) and has a slope of 2.5. Find the equation of the line.
y = 2.5x - 3
400
Solve the following system of equations using substitution:
3x + 4y = 6
y = 2x - 4
x = 2 and y= 0
(2,0)
400
Factor the following completely:
2x2 + 8x + 6
2x2 + 8x + 6 = 2(x2 + 4x + 3) = 2(x + 3)(x + 1)
400
How do you find the vertex from the graphing form equation?
Ex/ y = (x + 5)2 - 24
"The opposite of the inside, take the outside"
Ex/ y = (x + 5)2 - 24
"Opposite of inside" Inside is 5, opposite is -5
"Take the outside" Outside is -24
Vertex: (-5,-24)
500
(2ax9)2(3a6x2)3
108a20x24
500
The table below represents an exponential function of the form y = abx. Copy and complete the table and find a corresponding equation.
500
Solve the following system of equations using any method:
5x - 3y = 16
2x - 3y = -2
x = 6
y = 4.66
500
What is special about the following quadratics?
A. 4x2 - 25
B. x2 + 16x + 64
A. 4x2 - 25 is a difference of squares.
B. x2 + 16x + 64 is a perfect square trinomial
500
Write an equation to represent the graph below
Zeros: x = -3 x = 2
Factored Form: y = (x + 3) (x - 2)
Standard Form: x2 + x - 6