Some Basics and Inequalities
Evaluate 120-4*(2+3)2
Draw a graph of a relation that is also a function.
Anything that passes the VLT.
Find the slope of the line containing (7,-1) and (-5,7)
m=-2/3
What three forms do we write quadratics in? Give their names or equations.
Vertex form: y=a(x-h)2+k
Standard form: y=ax2+bx+c
Factored form: y=a(x-p)(x-q)
Actor Steve Carell plays what memorable character in the TV series “The Office”?
Michael Scott
In what order do you add and subtract when evaluating an expression?
As they appear in the problem from left to right.
The points (1,4), (2,8) and (3,-1) are in a function. Name one point that cannot be in this function.
Any point with 1, 2 or 3 as the x-value.
What does a line with a slope of 0 look like?
It is a horizontal line.
Solve the following quadratic 0=x2-x-12
x=-3 and x=4
What fish is capable of generating an electrical charge up to 600 volts?
The electric eel
What is the solution to:
x-6(x+1)=3x+6-8x
No solution! -6 does not equal 6!
f(x)=2x2-x+8
Find f(-2)
f(-2)=20
Define slope in 2 different ways.
rise/run, rate of change, (y2-y1)/(x2-x1), steepness of a line
Solve 0=2x2+11x+5
x=-1/2 and x=-5
The classic 1877 novel “Black Beauty” is about what kind of animal?
Horse
Solve and graph on a number line:
2x+7 is greater than or equal to 4x-1
x is less than or equal to 4
graph has a closed circle at 4 and points left
Solve the system
2m+4n=0
3m+5n=11
(-3,4)
Graph 2x+3y=18
x-int at x=9, y-int at y=6, negative slope
Find the equation of the quadratic that has been shifted down 3 units, right 2 units and goes through the point (4,5).
y=2(x-2)2-3
What is the name of the first permanent English settlement in North America?
Jamestown
Solve and graph:
abs(2x+9)-6 is less than 13
x is less than 5 and greater than -14
graph has open circles at -14 and 5 and shaded in between
Solve the system
3x+2y=10
6x+4y=20
Infinite Solutions/Same Line
Write the equation of the line perpendicular to y=-5x+2 containing the point (-10,2).
y=-1/5x+4
Find the standard form equation of the quadratic that has x-intercepts at x=-2 and x=5 and goes through the point (0,-20).
*Hint available but the question will be worth 400 points instead
y=2x2-6x-20
What animal's nickname is "sea cow"?
Manatee