There are 35 people in this class. How many possible different arrangements are there of students for group 2?
1256640
100
What is the inverse of f(x)=3x+4?
The inverse is g(x)=(x-4)/3
100
Sketch y=(x-1)(x+4)2
...
100
Solve the system y=3x+2; y=-2x+7.
(1, 5)
100
Where on the a graph can you find the real roots of a polynomial?
The x-intercepts.
200
3 fair coins are flipped, what's the probability of getting at least one heads?
7/8
200
How can you tell by looking at a graph if two functions are inverses?
They are inverses if they are symmetrical about the line y=x.
200
What is g-1(g(3))?
3
200
Find the equation of the quadratic that passes through the points (-4,5), (-1, -16), and (3,12).
y=2x2+3x-15
200
What are the roots of the polynomial y=5x(x+1)2(x-3)3?
The roots are 0, -1, and 3.
300
You win a spinner game if you spin the same color twice. There are 3 colors-- red that takes up 1/2 of the circle, blue that takes up 1/4 of the circle, and green that takes up 1/4 of the circle. What's the probability that you win?
.375 or 3/8
300
What is log9x=3/2?
27
300
Complete the square to put into graphing form: y=2x2-12x+23.
y=2(x-3)2+5
300
If you are trying to figure out the equation of an nth degree polynomial by solving a system of equations, how many points that lie on the polynomial do you need?
n+1
300
Simplify 5/(3+4i)
(3-4i)/5
400
You are spinning a spinner twice. The spinner is 25% red, 35% blue, and the rest green. What is the probability that you spun green given that you got the same color twice?
About 46.4%
400
Solve log3(x+1)+log3(x-2)=5
x=(+-sqrt(29)+1)/2
400
Solve for x: 5x + 1 – 7 = 28
1.21 or log7/log5
400
Find the equation of the cubic that passes through the points (-1,-2), (2, 37), (1, 4), and (-3, -128).
y=5x3-2x+1
400
(3x3+5x2+1)/(x-1) has a remainder of what?
The remainder is 9.
500
At Luigi’s Pizza, they have 7 different toppings choices. How many different 3-toppings pizzas can you make if you are allowed to repeat toppings?
84
500
Find the inverse of y=sqrt(x+4)-1. If there is a restricted domain for the inverse, include it.
y=(x+1)2-4 for x>=-1
500
Find all roots of f(x)=x3+8
x=-2, x=1+sqrt(3)i, x=1-sqrt(3)i
500
A company makes a product in two different factories. At factory X it takes 30 hours to produce the product and at factory Y it takes 20 hours. The costs of producing these items are $50 at factory X and $60 at factory Y. The company’s labor force can provide 6000 hours of labor each week and resources are $12,000 each week. How should the company allocate its labor and resources to maximize the number of products produced?
The company should make 150 of the products at factory X and 75 of the products at factory Y.
500
You are using a polynomial to model the curves of a rollercoaster. You know the roots/x-intercepts occur at x=-2,x=1(double root), with a triple root at x=-4. The coaster goes through the point (5, -34992). What is the exact equation of a polynomial function with these characteristics?