Exponential Functions & Models
Polynomial Operations & Models
Quadratic Functions & Equations
Linear, Exponential, Quadratic Functions & Models
Data Analysis
100
Simplify 3^2*3^4
729
100
Simplify (3x^2+2x)+(x^2-5x)
4x^2-3x
100
What are the zeros of the function g(x)=x^2-7x ?
x=0 and x=7
(0,0) and (7,0)
100
Which type of function best fits the data?
Exponential
100
Find the mean AND the range of the set of data:
31, 22, 23, 25, 23, 27, 40, 30, 39, 10
mean: 27
range: 30
200
Write an equation that represents the number of years x that it takes $250 to grow to $700 if it is growing at an exponential rate of 10% per year.
700=250(1.1)^x
700=250(1+0.1)^x
200
What is the difference of 15c-7d and 9c-4d ?
6c-3d
200
What are the solutions to the equation
x^2-49=0 ?
x=+-7
(7,0) and (-7,0)
200
Billy is given function h(x) and then told to graph the function h(x)-8 . What transformation is depicted?
down 8 units
200
Find the median AND the mode of the set of data:
31, 22, 23, 25, 23, 27, 40, 30, 39, 10
median: 26
mode: 23
300
Wren bought a trading card. She determined that the value of the card over time can be modeled by the equation V=30(1.06)^t , where V is the value of the card in dollars and t is the number of years that have passed since Wren bought the card. What does the number 30 in the equation represent?
initial amount- what Wren paid for the card
300
Which expression is equivalent to (2x-5)(x+6) ?
2x^2+7x-30
300
What are the roots to the equation x^2-2x-8 ?
x=-2 and x=4
(-2,0) and (4,0)
300
Ariel is given function f(x) and then told to graph the function f(x+4) . What transformation is depicted?
left 4 units
300
In a survey, patients are asked how long they sat in their doctor's waiting area. The results for two doctors are shown below.
- Doctor #1 (waiting time in minutes): 5, 10, 10, 15, 20, 20, 20, 100
- Doctor #2 (waiting time in minutes): 10, 10, 10, 20, 20, 20, 25, 25
Find the difference in medians between the two doctors' wait times.
The median waiting time for Doctor #2 is 2.5 minutes longer than for Doctor #1.
400
Is the function F(x)=80(1.04)^x a growth or decay function? And what is the percent change?
4% growth
400
Simplify (x-5)^2
x^2-10x+25
400
Gabriel is solving the equation x^2-12x=16 by completing the square. What number should be added to both sides of the equation to complete the square?
36
400
What is the minimum value of the function h(x)=4(x-2)^2-35 ?
y=-35
400
Find the lower quartile AND the upper quartile of the set of data:
31, 22, 23, 25, 23, 27, 40, 30, 39, 10
lower quartile: 23
upper quartile: 31
500
Is the function f(x)=12(0.5)^x a growth or decay function? And what is the percent change?
50% decay
500
Factor x^2-2x-35
(x-7)(x+5)
(x+5)(x-7)
500
What are the solutions to the equation 2x^2-9x-15=0 ?
Hint: Use the quadratic formula and keep your answer in radical form (no decimals).
x=(-9+-sqrt201)/4
500
What is the minimum value of the function f(x)=x^2+32x+154 ?
y=-102
500
Find the interquartile range of the set of data:
31, 22, 23, 25, 23, 27, 40, 30, 39, 10
8
upper Q - lower Q
31-23=8