Rational vs. Irrational
The definition of "integer"
A whole number. Can be negative, positive or 0, but HAS TO BE A WHOLE NUMBER, not a fraction.
The definition of "proportional"
All of the ratios that relate to the quantities are equivalent
Example: 1/3 and 4/12 are proportional
What is the "percent equation"
part = percent x whole
What does it mean to "isolate the variable"
Get the variable (the letter) by itself on one side of the equation
The definition of "circumference"
The definition of "terminating decimal" and "repeating decimal"
Terminating: a decimal that ends in 0
Repeating: a decimal that repeats the same number or block of numbers without ending
The definition of "proportion"
An equation that represents equal ratios
The definition of "percent change" and "percent error"
Percent change describes how much a quantity has changed compared to its original amount.
Percent error is the difference between the estimated value and the actual value. It is always a positive percent.
You can use the percent change formula:
amount of change = percent change x original amount
The definition of "population" and "sample"
Population: entire group of people
Sample: a subset, or small group of the population
The definition of "probability"
The ratio of the desired outcome to the total number of possible outcomes
The definition of "multiplicative inverses"
Reciprocals. If you multiply them together, you get 1.
1/6 and 6/1 are multiplicative inverses
The definition of "constant of proportionality"
The constant multiple that relates proportional quantities x and y. it is the value of the ratio y/x and is represented by k.
The definition of "markup" and "markdown"
(percent markup, percent markdown)
Markup is the amount of increase from the cost of an item to it's selling price.
Markdown is the decrease, or discount, from the original price to its sale price
Percent markup shows the price increase as a percent
Percent markdown shows the price decrease as a percent
The definition of "categorical data"
Data that falls into categories and can be displayed in a circle graph
The definition of a "sample space"
The set of all possible outcomes for an event
The definition of "complex fraction"
Has a fraction in the numerator, denominator, or both
The definition of "ratio" and "rate"
Ratio: The relationship in quantity, amount, or size between two or more things. A ratio is an ordered pair of numbers a and b, written a/b, where b does not equal 0.
Rate: A ratio that compares two quantities with different units of measure
The definition of "interest rate" and "principal"
Interest rate is a percent used to calculate interest on the principal
Principal is the initial amount (starting amount)
The definition of "theoretical probability"
The number of ways the event can occur (favorable outcomes) divided by the total number of outcomes
The definition of "diameter" and "radius"
Diameter: the distance across the circle through the center
Radius: the distance from the center of the circle to the edge of the circle (in any direction)
The definition of "Zero Exponent Law"
States that a0 = 1
(assuming that a is not equal to 0)
The definition of "unit rate"
It is the rate for one of something.
Example, if you ran 70 years in 10 seconds, you ran an average of 7 years in 1 second.
The definition of "simple interest"
Simple interest is the interest that is applied to the initial amount only (the principal)
The definition of "experimental probability"
The number of times the event occurs divided by the total number of trials
The definition of "scale drawing" and "scale factor"
Scale drawing: a model or drawing based on a ratio of the dimensions for the model and the actual object it represents
Scale factor: the constant that is multiplied by the length of each side of a figure to produce an image that is the same shape as the original figure