Linear Equations | Prime Factorization |
---|---|
Standard form: Where a, b, and c are constants, and a and b are not both zero Slope intercept form: Where m is the slope of the line, and b is the y-intercept Point slope form: Given a point and a slope m |
Prime numbers: are positive integers that are not divisible by any integer besides one and themselves Compositve numbers: are integers that are the product of prime factorization. Prime Factorization of 1092 |
Functions | Mean,Median, and Mode |
Function: the mathematical rule that takes an input value and converts it to a single output Input: also called the independent variable is denoted by x Output: also called the dependent variable is denoted by y You can tell if an equation is a function by performing the vertical line test. Look at the graph of an equation. Imagine moving a vertical line back and forth across the graph. (You can use your pencil or edge of a ruler for this.). If there is any point at which the vertical line passes through the graph of the equation more than once, then it is not a function. |
Mean: the average value Median: the value that falls in the middle when the values are arranged from lowest to highest value Mode: the value that appears most frequently Find the mean, median, and mode of the following data:{6, 3, 1, 6, 4} First arrange the numbers from least to greatest. {1, 3, 4, 6, 6} The middle value is 4, so our median is 4. The mode is 6, because it appears twice, which is more than any other value. Mean = |
Domain and Range | Pythagorean Theorem |
Domain: is all of the possible inputs (x-values) for a function. For each x-value in the domain, there must be a valid output. Sometimes there are x-valeus that cannot be used, because plugging them into the function results is an undefined point. If all real numbers can be used as an input, the domain is “all real numbers” or Range: is all of the possible y-values for a function. For each value y in the range, there must be a valid input x in the domain such that f(X)=y |
A triangle is a triangle with one angle. The longest side is called the hypotenuse, and the two shorter sides are called legs of the triangle. For a right triangle with leg lengths a and b, and hypotenuse c. |
The Distance Formula | |
This space was intentionally left blank for spacing purposes. |
distance |