Using Variables and Exploring Real Numbers
What is a variable?
a symbol, usually a letter, that represents one or more numbers
Simplify: 5 * 3^2 -13
32
What is a function?
A relationship that assigns exactly one output value for each input value
What is a trendline?
Line that shows the average of the data more clearly
What is the mean and how do you find it?
The mean is the average; calculated by adding up all the data points and dividing by the number of data points.
Write an algebraic expression for: the quotient of n and 8
n/8
Evaluate the following expression for a=5, b=12, and c=2
ca+a
15
What is domain and range?
input/independent variable = domain
output/dependent variable = range
What is positive correlation, negative correlation, and no correlation?
Positive: in general both sets of data increase together
Negative: in general one set of data decreased as the other set increases
No correlation: data Iis not related
Find the mean, median, mode and range: 9.8, 7.2, 6.3, 8.7, 5.8, 9.4, 5.1, 6.2
mean: 7.3125
median: 6.75
mode: none
range: 4.7
Compare |-3.121| and |3.12|
>
Evaluate the following expression for s = 11 and v = 8
(2s)^2v
3872
Suppose you are washing and drying clothes at a self-service laundry. The relationship between the number of loads (input) and the cost (output) is a function. Use the table to write a function rule.
let n = number of loads, let c = total cost
c=2.75n
Positive correlation, negative correlation, or no correlation: The sales of snow shovels and the amount of snowfall
positive correlation
Write and solve an equation to find x
3.8, 4.2, 5.3, x; mean=4.8
5.9
Define variables and write an expression to model the following table:
Let t = total earnings and n= number of sales
0.5n=t
The formula for the volume of a sphere with radius r is V=(4pir^3)/3. Find the volume of a croquet ball that has radius 4.6cm. Round your answer to the nearest hundereth.
407.51cm^3
Identify the independent and dependent quantities: Water Pressure increases 0.44 pounds per square inch (0.44psi) with each increase of one foot in depth below sea level.
independent: depth
dependent: psi
Make a scatterplot for the jeans sales table
Find the mean, median and mode. Which measure of central tendency best describes the data: ages of students on the team 14, 14, 15, 15, 16, 15, 15, 16
mean: 15
median: 15
mode: 15
mean, because the distribution is symmetrical
Name the set(s) of numbers to which |-1.93| belongs
Rational numbers and real numbers
Simplify: 1^11+3[(22/11+8)/5]
7
The weight of the books carried in a backpack depends on the number of books in the backpack. Susan's books weigh from 1 pound up to 3.5 pounds each and she carries at most 4 books. Find a reasonable domain and range for the situation.
Domain: {1, 2, 3, 4}
Range: [1,14]
Describe a situation in which the correlation of two sets of data is undefined.
Any situation in which one variable does not vary while the other does
Make a stem-and-leaf plot fot he following data: 18, 35, 28, 15, 36, 10, 25, 22, 15
Mrs. Herr will check for accuracy