Polynomials
Exponentials
A Lil' Bit of Everything
Solving
Transformations
100
Find the difference:
4x^2-3x+5-(-x+3x^2-8)
x2 -2x+13
100
What kind of equation (linear, quadratic, exponential growth/decay) is shown below?
y = 4(0.87)t
Exponential Decay
100
Simplify
(3x^4y)/(9x)
(x^3y)/3
100
Solve the inequality -2(x+3)≥8
x ≤ -7
100
What is the equation of the graph shown?
y = (x-1)2 - 4
200
Fully simplify the following polynomial expression: (x-3)^2
x^2-6x+9
Bonus: Correct answer lets you take 500 points from one team and give them to another team (not yours!).
200
Simplify the following expression: (-sd3)6
s6d18
200
A ball is shot into the air and the distance and height, in feet, is modeled by the equation f(x)=-16t^2+90t+8 with t being time in seconds.
What is the average rate of change in the ball height between 2 seconds and 4 seconds?
-6 feet. The ball is lower at 4 seconds and has started coming back down.
200
Solve the equation: 2-3abs(x-4)=-19
x = 11 or x = -3
200
Write the absolute value equation of a graph that transforms 3 units to the left and 7 units up.
y=|x+3| + 7
BONUS: 1000 Points for correct answer.
300
A rectangle has a height of 2x+3 and a length of 3x-4 . What is the perimeter of the rectangle?
10x - 2
300
Given
y=1/6(3^x)
Calculate the value of y when x = -2
y = 1/54
300
What is the equation of the line that has goes through the point (9, -2) and and has a slope of 1/3 ?
y=(1/3)x - 5
300
Solve: 3abs(x+5)+2<11
Your answer MUST include the words AND or OR.
-8 < x < -2 (AND)
x > -8 AND x < -2
300
What does the h and the k do in the equation below.
sqrt(x - h)+k
h translates the graph horizontally, k translates the graph vertically.
400
A triangle has a height of 5x+2 and a base of 2x-6. What is the area of the triangle?
5x2 - 13x - 6
400
Write the equation of the exponential equation from the points (0, 6) and (7, 768)
y = 6(2x)
400
Solve the equation for h.
V=1/3pir^2h
h = (3V)/(pir^2)
400
Solve the following system of equations:
4x - 3y = 9
y = 2x + 7
(-15, -23)
400
Given the equation of the graph y = 2|x -3|+7 .
How does the equation y=-2|x-3|+7 change the graph?
The graph will be reflected over the x-axis.
500
Rectangle A and Rectangle B have the same perimeters. Rectangle A has a perimeter of 5x^2-2x+5. Rectangle B has a perimeter of 5x^2+7x-13.
What is the perimeter of the rectangles?
The perimeter is 21 units.
500
What is the domain of the the graph representing the equation y= 4(1/3)x?
y>0
500
The nominal annual interest rate on a credit card is 25%. If the interest is compounded monthly, without paying anything or making additional charges, the original $1200 balance becomes $1536.87. What is the effective percentage rate?
28.07%
500
What property allows an equation written as 5x+3 = -2 to be written as -2=5x+3
Symmetric Property.
BONUS: Correct answer will let you steal a total of 600 points from any team.
500
In what direction (left, right, up, or down) and how many units does the graph move from f(x)=3x^2+5 to g(x) = 3x^2-7 ?
12