Operations
Simplify the following:
62 - 8 ⋅ 7
6
Solve for x:
x+3=6
x=3
What is the mean of the following list: 2, 3, 5, 8, 12
6
Definition: A letter or symbol that stands in for an unknown number
What is a variable?
Simplify the following:
1/2 + 1/4
Simplify the following:
7 ⋅ 32 - 16
47
Solve for n:
n/7 = 2
n = 14
Find the median of the following list of numbers: 3, 5, 8, 19, 22, 23.
13.5
Definition: the number that appears the most often within a data set
What is the mode?
Simplify the following:
1/3 - 1/5
2/15
Simplify the following:
-42 + 3(9 + 2)
17
Solve for y:
10y=45
y = 4.5
Is the distribution in the following histogram symmetric, skewed left, or skewed right?
Skewed left
Definition: terms in an expression that have the same variable raised to the same exponent
What are like terms?
Simplify the Following:
9/10 ⋅ 2/3
3/5
Simplify the following:
-6 - 22 + 7/2
-6.5
Solve for y:
-2y=12
y = -6
The following image shows scores on a math test. What is the interquartile range (IQR) of the data set?
IQR = Q3 - Q1 = 90 - 66 = 24
(anything 23-25 will count)
Definition: the property that allows us to multiply a number in front of parentheses by the terms inside the parentheses. For example, this property tells us that 3(x+2)=3x+3(2).
What is distribution, or the distributive property?
Simplify the following:
3/8 ÷ 6/7
7/16
Simplify the following:
-10 ÷ (20 ÷ 2² ⋅ 5 ÷ 5) ⋅ 8 - 2
-18
Solve for m:
(3/4)m = 15
m = 20
Give an example of a statistical question that would generate categorical data.
Examples: what is your favorite color? What street do you live on? Who is your favorite math lab tutor?
Definition: When values in a data set are different from each other
What is variability?
The gif below shows Koch's Snowflake, a shape that is self-similar as you zoom in, contains infinite complexity, and has a fraction dimension (ln4/ln3). A shape with properties like this is called what?
A fractal