Vocabulary
Linear Equations
Statistics
System of Equations.
Exponential Functions
100
The point where a function intercepts the y-intercept, where the function has:
y=0
What is the y-intercept?
100
Are the following examples of a linear equation? Explain why.
y=2 xx 2/(3*x^2)
y = 1+x+x^2+5x^3+2x^4+x^5
No because they create functions that do not look linear, and they have variables x to the power other than one.
100
If the median is greater than the mean in a distribution of data this implies that the data is ________ and we should use __________ to describe the data.
What is skewed left and we should use median and IQR to describe the data?
100
A system of equation is a...
What is a group of at least two linear equations or linear inequalities?
100
What is the formula for a exponential function?
What does every term mean in the function?
What is
f(x) = ab^x
Where "a" is the y-intercept and "b" is the common ratio?
200
A list of numbers created using a common difference is called a...
What is an Arithmetic Sequence?
200
Give a solution to this linear equation.
14 = 3x + 3(4-2x)
What is
x = -2/3
200
In creating and describing a box-and-whisker plot we need ______ number summary, which are...
What is the five number summary?
Minimum, Quartile 1, Median, Quartile 2, and Maximum.
200
We can find the solution to a system of equation or system of inequalities by...
What is graphing the system or solving the system algebraically by linear combinations?
200
True or false
A geometric sequence can be represented using a exponential function.
what is true?
300
When a function is flip over a line, or it looks like the function is looking into a mirror means that we are...
What is reflecting a function over a line?
300
The two ways to solving a linear equation are...
What are Graphing and Algebraically (Properties of Equality)?
300
True or False.
We can use Marginal Relative Frequency Distribution to describe one-variable statistics.
False, we use M.R.F.D. to describe two-variable statistics.
We can use Median/IQR or Mean/Standard Deviation to describe one-variable statistics.
300
Solve the system below.
3x+5y=13
4x-10y=2
What is where the two linear equations intersect?
(0.8,0.12)
300
Given the following table of values create the exponential function.
What is
f(x) = 1/2 (3)^x
400
The following sequence is an example of...
1, 1.5, 2.25, 3.375, 5.0625, 7.59375,...
because,
What is a Geometric sequence because every term increases by a common ratio of 1.5?
400
A set of variable values for a linear equation is called a...
What is a solution to a linear equation?
400
A scatter plot is a diagram used to represent discrete data, if the data looks linear, we can use a _____________ to represent the relation between independent variable and dependent variable.
What is the line of best fit, or a regression line?
400
Suppose we solve a system of linear equations and find no solution, how will this system of equations graph?
What is a graph that has to parallel lines, so intersection?
400
Translate the exponential function
f(x) = 4^x
by reflecting over the line x=0 and translating it vertically -3 units.
What is
f(x) = 4^{-x}-3
f(x) = 1/(4^x)-3
500
An inequality is...
What is a mathematical statement that says two things are not equal?
500
Find a solution to the following linear equation.
4x+13y = 24
What is any point on the line created by the linear equation? like
(-4,2)
500
Suppose that we are comparing two distributions of data that are symmetrical. When we calculate the mean, we find that they are identical however their standard deviations are different. If the standard deviation for the first distribution is less than the standard deviation for the second distribution, what can we conclude about the distribution of data?
When we compare the distributions, we will find that the first distribution will look less spead out than the second.
The first distribution will have most its data points clustered around the mean.
500
We solve a system of inequality and show our answer using a graph shown below; describe my solution.
My solution is the dark purple region, excluding the points that are on the dashed line, but including the points that are on the solid line.
500
Exponential decay is represented by the following formula
f(x) = a(1-r)^t
Where "a" is the initial value and "r" is the rate of decay.
Suppose that for population of rats the rate of decay is 0.4 and the initial population size was 13000, about how long will it take for the rats to die out? Time is in years.
What is about 19 years?
600
A collection of functions that all share common characteristics and structure is called a...
What is a Function Family?
600
True or False:
A geometric sequence can be represented by a linear function.
False because graphically the geometric sequence follows an exponential pattern, an arithmetic sequence is represented by linear function.
600
Given a distribution of data represented by a box and whisker plot has a minimum of 3, a maximum of 56, a Q1 of 13 and Q3 of 45. Does this distribution have an outlier?
No outliers exist for this data because both the minimum and maximum exist within the lower and upper fence respectfully.
600
The two ways to graphing a linear inequality or equality are...
Also graphing an inequality, we need to also...
What is finding the x- and y- intercepts or converting the equations/inequalities into standard from.
Graphing an inequality, we need to shade the region where we will find the points that will satisfy the inequality.
600
solve the following exponential equation
230 = 4*3^x
What is approximately x=3.7?
700
These are examples of...
y = a(x-c)
Ax+By= C
y=mx+b
What are forms of linear equations?
What are linear equations?
700
If the function
f(x) = 2.35 x +3.5
represents the liters of Pineapple water made for a school fundraiser where "x" is the liters of water. predict when the fundraiser will make 23.4 liters of pineapple water.
The fundraiser will make 23.4 liters of pineapple water when they use 8.46 liters.
700
Suppose that we are comparing two distributions where one is skewed left while the other is symmetrical, what measure of centrality should we use to describe and compare the two distributions? Explain why.
What is Median and IQR because
700
What are the three types of solutions we can have for a system of equations/inequalities?
How many solutions does the following system have?
4x-10y=2
8x-10y= 3
What is no solution, one solution, and infinitely many solutions?
What is one solution to the system?
700
Write the function for exponential
f(x) = 3^x
after it has been transform as shown in the picture below.
What is
f(x) = 1/2*3^-x+3