Radicals
Even/Odd/Neither
Factoring
Quadratic/
Exponential Equation
Exponential Equation
Graphing Quadratics
Probability
100
Write in simplest form.
sqrt30timessqrt42
6sqrt35
100
Determine if f(x) is even, odd, or neither.
abs(4+x)
neither
100
Factor the following.
100r^2-36s^2
(10r+6s)(10r-6s)
100
Identify what a, b, and c are in the following equation.
x^2+3x-1
a=1
b=3
c=-1
100
What is the axis of symmetry of
y=x^2-8x+4
x=4
100
In a group of 20 students, 7 have 1 pet, 8 have 2 pets, 2 have 3 pets, and the rest have more than 3 pets. What is the probability that a student selected randomly from the group has one pet?
7/20=0.35
200
Simplify
4sqrt45-10sqrt20
-8sqrt5
200
Determine whether f(x) is even, odd, or neither.
x^4+2x^2
even
200
Factor the following.
a^4+14a^3+45a^2
a^2(a+9)(a+5)
200
Use the quadratic formula to solve the following.
x^2-6x+4=0
x=3pmsqrt5
200
What is the vertex of
y=-x^2-6x+3
(-3, 12)
200
In a group of 20 students, 7 have 1 pet, 8 have 2 pets, 2 have 3 pets, and the rest have more than 3 pets. What is the probability that a student selected randomly from the group has more than one pet?
13/20=0.65
300
Rationalize the denominator.
sqrt5/(sqrt2+3
(sqrt10-3sqrt5)/-7
300
Determine whether f(x) is even, odd, or neither.
x^3-2x
odd
300
Factor the following.
3x^2-19x+6
(3x-1)(x-6)
300
Use the quadratic formula to solve the following.
x^2+4x-3=0
x=-2-sqrt7 , x=-2+sqrt7
300
Is the following graph going to have an extreme minimum or extreme maximum?
y=-x^2+8x
Extreme Maximum
300
In a group of 20 students, 7 have crayons, 11 have markers, and 4 have both. What is the probability that a randomly selected student has a crayon or marker?
14/20=7/10=0.7
400
root(4)(384a^9b^7)/root(4)(12a^3)
2abroot(4)(2a^2b^3)
400
Determine whether f(x) is even, odd, or neither.
abs(x)+x^2
even
400
Factor the following.
49x^2-56x+16
(7x-4)^2
400
Use the quadratic formula to solve the following.
2x^2+4x-1=0
x=(-2pmsqrt6)/2
400
Find the vertex, axis of symmetry, and the extreme value of the following quadratic function.
y=-x^2-2
Vertex: (-1, -3)
AOS: x = -1
Extreme: Max at (-1, -3)
400
A candy jar contains 3 red, 2 pink, and 7 yellow starbursts. Three starbursts are chosen at random from the jar. What is the probability that all three starbursts are the same color?
9/55=0.16
500
root(4)(96x^5y^5)/root(4)(3y)
2xyroot(4)(2x)
500
Determine whether f(x) is even, odd, or neither.
xabs(x)-2x^3
odd
500
Factor the following.
216x^3+1
(6x+1)(36x^2-6x+1)
500
Each year the value of a boat depreciates by 7% of its value on the previous year. What is the price (whole number) of the boat when it is 3 years old given the equation to calculate salvage value after t years is
y=f(t)=40,000(0.93)^t
The boat is about $32,174 when it is 3 years old.
500
Find the vertex, axis of symmetry, and the extreme value of the following quadratic function.
y=-2x^2+8x
Vertex: (2, 8)
AOS: x = 2
Extreme: Max at (2, 8)
500
Show that the probability of driving to work given they are male is equal to the probability of driving to work given they are female. What can you conclude about the relation between gender and transportation method?
P(DlM)= 20/50=0.4
P(DlF)=10/25=0.4
P(D)=0.4
Gender and transportation method are independent.