Exponentials
Quadratics
Solving Multiple Step Equations
Solving and Graphing Inequalities
Factoring
100
This equation is exponential decay.
f(x)= a(1+r)^x
f(x)=a(1-r)^x
What is f(x)= a(1-r)^x
100
jason jumped off of a cliff into the ocean in acapulco while vacationing with some friends. His height as a function of time could be modeled by the function
h(t)=-16t^2+16t+480, where t is time in seconds and h is height in feet
What was the highest point Jason reached?
484 feet
100
State the like terms.
7x-9=5
There are none.
100
y≥2x-5
What kind of inequality is this and how would it be shaded?
linear inequality
solid line, above
100
2x+8
factor the polynomial
2(x+4)
200
This table is either exp. growth or decay.
What is exponential growth?
200
Jason jumped off of a cliff into the ocean in acapulco while vacationing with some friends. His height as a function of time could be modeled by the function
h(t)=-16t^2+16t+480, where t is time in seconds and h is height in feet
what was jason's inital height?
480 feet
200
Line 2, the 4 and 6x are not like terms
infinitely many solutions, -5+6x=6x-5
200
4+3(2x-3)≥ 6-5
solve and state how this would be graphed
x≥-4/6
closed circle
arrow going to the right
200
28a2b+56abc2-14abc
Factor the polynomial.
7ab(4a+8c2-2c)
300
f(x)=a(1+/-r)x is one way to write the exponential equation.
This is the other.
f(x)=abx
300
if a toy rocket is launched vertically upward from ground level with an intial velocity of 128 feet per second, then its height h, after t seconds is given by the equation
h(t)=-16t2+128t
how long did it take for the rocket to reach the ground?
4 seconds
300
What is the first step in solving this equation?
-3x-32=-2(5-4x)
Distribute -2 to the 5 and -4x
300
2(3x-5)≥4x+6
Solve
7≤ x
300
Method used to check your answer after factoring.
FOIL
400
Find the exponential equation to this table.
What is y=3(2)x?
400
What is the quadratic formula?
5x2+6x+1=0
and what are the a,b, and c values of this equation?
a=5
b=6
c=1
400
Solve.
-3x-4(4x-8)=3(-8x-1)
x=-7
400
whats the difference between a dashed and solid line when graphing inequalities?
what's the difference between the above shaded and below shaded when graphing inequalities?
When the line is solid, the numbers that fall on the line are included in the solutions. When the line is dashed they aren't.
When shaded above the numbers greater than are included in the solutions. When shaded below the numbers less than are included.
400
Factor
x2-10x-24
(x+2)(x-12)
500
simplify
40x3y6/-8x2y
-5xy5
500
Solve using the Quadratic Formula
7x2-3x-8=0
x≈1.305 and x≈-0.876
500
6k+4/2=2k-11
Solve.
k=-13
500
4x+3y>-6
x-3≤-9
Is (-3,2) a solution to this system?
No, because it is only a solution to the second line and not the first making it not a solution to the system.
500
Factor
4x2+24x+32
4(x+2)(x+4)