Term
| Abstract fractional equation |
|
Definition
| A fractional equation where all or most of the terms are different variables |
|
|
Term
|
Definition
|
|
Term
|
Definition
| for any number a, a + (-a) = 0 |
|
|
Term
|
Definition
| A sequence in which the difference between any two consecutive terms are the same |
|
|
Term
|
Definition
| The sun of the terms of an arithmetic sequence |
|
|
Term
|
Definition
For any real numbers a, b, and c:
(a + b) + c = a + (b + c)
and (a x b) x c = a x (b x c) |
|
|
Term
|
Definition
| a statement assumed to be true without proof |
|
|
Term
|
Definition
| A quantity consisting of the sum or difference of two mononomials |
|
|
Term
|
Definition
| the numerical part of a term |
|
|
Term
|
Definition
| to eliminate one variable by adding equations |
|
|
Term
| Multiplication and Division of Exponents |
|
Definition
| Multiply by adding, divide by subtracting |
|
|
Term
|
Definition
| if n is an integer greater than zero, the factorial of a positive integer n, denoted by n!, is the product (<-- multiplication) of all positive integers less than or equal to n. |
|
|
Term
|
Definition
| Parentheses, exponents, multiply, division, addition, subtraction |
|
|
Term
|
Definition
| instead of each of the data points contributing equally to the final average, some data points contribute more than others |
|
|
Term
|
Definition
| taking the average totals of a group of two or more and adding them together and dividing by the total of members |
|
|
Term
|
Definition
|
|
Term
|
Definition
| A combination of two functions, where you apply the first function and get an answer, and then fill that answer into the second function. |
|
|
Term
|
Definition
| The degree of the term in the polynomial that has the highest degree (the sum of the exponents of all the variables in that term). ie- x^2 + 2x +3 is second degree |
|
|
Term
|
Definition
the value of b^2 - 4ac from ax^2 + bx + c = 0.
(part of the quadratic equation) |
|
|
Term
|
Definition
| for two points on a plane with coordinates (x,y) and (x^2, y^2) is d = √(x^2-x)^2 + (y^2 -y)^2 |
|
|
Term
|
Definition
| a set of all first coordinates of the ordered pairs of a relation |
|
|
Term
|
Definition
| The complete set of possible values of the independent variable in the function/the set of all possible x values which will make the function work and will output real y values |
|
|
Term
|
Definition
| (x-h)^2 / a^2 + (y-k)^2 / b^2 = 1 |
|
|
Term
|
Definition
| a set that has no members, denoted by {}; also called a null set ø |
|
|
Term
|
Definition
| Find the slope and y-intercept. Then the equation of the line can be written in the slope-intercept form; y=mx + b (m=slope, b=y-intercept) (y-intercept: where x = 0) |
|
|
Term
|
Definition
| Insert a given x value, a number in the domain to see the result, which is a number in a range |
|
|
Term
Graph transformation:
Basic function |
|
Definition
|
|
Term
Graph transformation:
y=x^3 + 5 |
|
Definition
|
|
Term
Graph transformation:
y=x^3 - 5 |
|
Definition
| graph shifted down five units |
|
|
Term
Graph transformation:
y=(x+5)^3 |
|
Definition
| graph shifted left five units |
|
|
Term
Graph transformation:
y=(x-5)^3 |
|
Definition
| graph shifted right five units |
|
|
Term
Graph transformation:
y=(-x)^3 |
|
Definition
| graph reflected over y-axis |
|
|
Term
Graph transformation:
y=-x^3 |
|
Definition
| graph reflected over x-axis |
|
|
Term
| Total degrees of angles of a Polygon (equation) |
|
Definition
| (Number of sides - 2) x 180 |
|
|
Term
|
Definition
| (x-h)^2 / a^2 - (y-k)^2 / b^2 = 1 |
|
|
Term
|
Definition
| includes the first and last elements |
|
|
Term
|
Definition
| Equations with no common solution (like parallel lines) |
|
|
Term
|
Definition
| separate probability questions that do not affect each other |
|
|
Term
|
Definition
| when two or more sets have the same elements in common |
|
|
Term
|
Definition
| a real number that can't be written as the ratio of two integers |
|
|
Term
| It's divisible by 3 if... |
|
Definition
the digits add up to a multiple of 3
ex- 195
1+9+5=15 |
|
|
Term
| It's divisible by 4 if... |
|
Definition
the last two digits form a number divisible by 4
(ex- 132723487*32*) |
|
|
Term
| It's divisible by 5 if... |
|
Definition
|
|
Term
| It's divisible by 6 if... |
|
Definition
| It's divisible by 2 AND 3 |
|
|
Term
| It's divisible by 8 if... |
|
Definition
The last three digits form a multiple of 8
ex- 46,352
352/8 = 44 |
|
|
Term
| It's divisible by 9 if... |
|
Definition
Its digits add up to a multiple of 9
ex- 785,214
7+8+5+2+1+4=27 |
|
|
Term
| It's divisible by 10 if... |
|
Definition
|
|
Term
|
Definition
monomials that differ from one another bu their coefficients
ex- 7x, 3x, 5x |
|
|
Term
|
Definition
| ax+by+c=0, a first degree polynomial equation in one or more variables |
|
|
Term
|
Definition
| f(x) = mx+b where m and b are real numbers; to plot a point on a graph using (x,y), take x and separate it horizontally with the origin (0,0) and vertically separate y from points (x,y) and (0,0) |
|
|
Term
|
Definition
| a set of numbers used to count things; also called positive integers |
|
|
Term
|
Definition
the same distance from zero on a number line, only in the other direction
(3 & -3) |
|
|
Term
|
Definition
| Arranging things in a certain order; the "counting method," where if a choice can be made in _a_ ways and a second choice in _b_ ways, then axb will be the answer |
|
|
Term
|
Definition
| ratio of number of desired outcomes and total number of outcomes in the sample space |
|
|
Term
|
Definition
| number of times a certain thing could happen or number of times any of the things could happen |
|
|
Term
|
Definition
The same triangle facing a different way, but 3D. If we call the sides x, y, and z instad of a, b, and d, we get
x^2 + y^2 +z^2 = distance^2
Measure the x-coordinate [left/right distance], the y-coordinate [front/back distance], and the z-coordinate [up-down distance]. And now we can find the 3D distance to a point given its coordinates. |
|
|
Term
Pythagorean Triple
Special Right Triangles |
|
Definition
Consists of three numbers that can all be the lengths of the sides of a right triangle. Example: {3,4,5} is the same as 3^2 + 4^2 = 5^2
others:
1, 1, √2
1, √3, 2
5, 12, 13
9,12,15 ({3,4,5} x 3) |
|
|
Term
|
Definition
three terms, one unknown, one raised to a power
ie- x^2+2x+7 |
|
|
Term
|
Definition
For ax^2+bx+c=0,
x=-b±√b^2-4ac / 2a |
|
|
Term
|
Definition
| the difference between the greatest and least values in a set of data |
|
|
Term
|
Definition
The process of eliminating radicals from the denominators
ie- 4/√2 x √2/√2 = 4√2/2 = 2√2 |
|
|
Term
|
Definition
| A diagram using coordinates to display values for two variables for a set of data. It's displayed as a collection of points, each having the value of one variable determining the position on the horizontal axis and the value of the other variable determining the position on the vertical axis |
|
|
Term
|
Definition
A number in the form of ax10^n
where 1≤a≤10, and n is an integer |
|
|
Term
|
Definition
| a quantity within an expression which is raised to the second power |
|
|
Term
|
Definition
| a set consisting of al members of set A and set B |
|
|
Term
|
Definition
|
|
