Radicals and Rational Exponents
Radical Equations and Applications
Solving Quadratic Equations
Completing the Square
The Quadratic Formula
Graphs of Quadratic Functions
Applications of Quadratic Equations & Random
100
Evaluate the following radical expression.
root(3)(4^3)
4
100
Simplify the following radical.
sqrt(81/25)
9/5
100
What is one of the four ways to solve quadratic equations?
1. Graphing
2. Factoring
3. Completing the Square
4. Quadratic Formula
100
What is the a, b, and c of the following quadratic function,
f(x)=-2x^2-8x+15
a=-2
b=-8
c=15
100
What is the quadratic formula?
x=(-bpmsqrt(b^2-4ac))/(2a)
100
The axis of symmetry runs through what point on a parabola?
The vertex
100
What is the name of the boat in the movie Jaws.
The Orca
200
root(3)(-27)
-3
200
Simplify the following radical,
sqrt(72)
6sqrt2
200
In order to solve a quadratic equation by factoring, the quadratic equation needs to be set equal to what?
0
200
Fill in the blank by completing the square.
25=x^2-6x+( _ )
9
200
What is the discriminant?
b^2-4ac
200
What is the equation used to find the axis of symmetry?
x=(-b)/(2a)
200
What is the formula for the area of a circle?
A=pir^2
300
Rewrite the following radical expression as a rational exponent.
y^(2/5)
root(5)(y^2) or (root(5)(y))^2
300
Simplify the following radical.
sqrt(12x^3)
2xsqrt(3x)
300
Factor the following quadratic.
x^2-x-30
(x+5)(x-6)
300
Factoring the following quadratic equation.
x^2-8x+16
(x-4)^2
300
What does the discriminant show?
Tells you the number and type of roots.
300
Find the axis of symmetry.
f(x)=x^2-4x-5
x=2
300
A picture whose width is 7 inches less than its length has an area of 144 square inches. Create a quadratic equation that represents the context of this problem.
x^2-7x-144
400
Evaluate the following radical expressions.
8^(4/3)
16
400
Find the length of the hypotenuse if the right triangle has sides of 7 inches and
4sqrt2
9 units
400
Solve the following quadratic equation.
3x^2+11x-4=0
x=1/3
and
x=-4
400
Solve the following quadratic equation using completing the square.
-9=x^2+10x
x=-1
and
x=-9
400
Find the discriminant and interpret the discriminant of the following quadratic function.
f(x)=3x^2-4x-8
112
The discriminant is greater than zero, so there are 2 real roots.
400
Find the vertex.
f(x)=-x^2+9
(0,9)
400
A university in Northern California has a mascot that is named this, after the color, not the bird.
Cardinal - Stanford University
500
Find the domain of:
f(x)=sqrt(5x-3)
All real numbers such that
x ge 3/5
500
Simplify the following radical.
(sqrt(56w^3))/sqrt2
2wsqrt(7w)
500
Solve the following equation.
9x^2+12=3+12x+5x^2
x=3/2
500
Solve the following quadratic equation using completing the square.
t^2-5t-36=0
x=-4
and
x=9
500
Using the quadratic formula, find
the roots of the following quadratic function.
y=3x^2+7x-17/3
x=2/3
and
x=-3
500
Daily Double!!!
Sketch the graph, using the axis of symmetry, the vertex, the y-intercept, and the reflected point.
f(x)=x^2+6x+8
500
The amount A after 2 years in an account earning r percent (in decimal form) compounded annually is given by
A=P(1+r)^2
Find the Interest rate given the P, and A values below.
P=$500
A=$572.45
7%