algebra 2 chapter 1, algebra 2 chapter 2, algebra 2 chapter 3, algebra 2 ch 4

algebra 2 chapter 1, algebra 2 chapter 2, algebra 2 chapter 3, algebra 2 ch 4

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Section 1

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algebraic expression

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Cards (91)

Section 1

(50 cards)

algebraic expression

Front

an expression that contains at least one variable

Back

point slope form

Front

y-y₁=m(x-x₁)

Back

experimental probability

Front

Probability that is based on repeated trials of an experiment

Back

Transformation

Front

change of a parent function

Back

function notation

Front

Fx

Back

scatter plot

Front

A graphed cluster of dots, each of which represents the values of two variables. The slope of the points suggests the direction of the relationship between the two variables. The amount of scatter suggests the strength of the correlation

Back

stretch

Front

spread out

Back

linear inequality

Front

An inequality in two variables whose graph is a region of the coordinate plane that is bounded by a line.

Back

constant of variation

Front

the number k in equations of the form y=kx

Back

range

Front

all y values

Back

parameter

Front

(n.) a determining or characteristic element; a factor that shapes the total outcome; a limit, boundary

Back

absolute value of a real number

Front

The distance from zero on a number line

Back

term

Front

Each number in a sequence

Back

translation

Front

A shift of a graph horizontally, vertically, or both, which results in a graph of the same shape and size, but in a different position.

Back

parent function

Front

the most basic function in a family of functions

Back

solution of an equation

Front

a value or values that make an equation true

Back

shrink

Front

Reduces y values by a factor between 1-0

Back

absolute value

Front

The distance a number is from zero on a number line and distance is non negative

Back

linear equation

Front

an equation whose graph is a straight line

Back

coefficient

Front

A number multiplied by a variable in an algebraic expression.

Back

extraneous solution

Front

an apparent solution that must be rejected because it does not satisfy the original equation

Back

additive inverse

Front

The opposite of a number

Back

variable expression

Front

An expression that consists of numbers, variables, and operations

Back

dependent variable

Front

a variable (often denoted by y ) whose value depends on that of another.

Back

reciprocal

Front

1 divided by the number

Back

Multiplicative Inverse

Front

The reciprocal of a number

Back

independent variable

Front

a variable (often denoted by x ) whose variation does not depend on that of another.

Back

absolute value of a function

Front

a function written in the form y = /x/, and the graph is always in the shape of a v

Back

reflection

Front

A transformation that "flips" a figure over a mirror or reflection line.

Back

simulation

Front

an imitation of a possible situation, a model

Back

mapping diagram

Front

Links the elements of the domain with corresponding elements of the range

Back

domain

Front

The set of input values of a function. The x value

Back

relation

Front

any set of ordered pairs

Back

trend line

Front

a line on a scatter plot drawn near the points. it shows a correlation

Back

evaluate

Front

when you substitute numbers for a variablr

Back

function

Front

1. A relationship from one set (called the domain) to another set (called the range) that assigns to each element of the domain exactly one element of the range. 2. The action or actions that an item is designed to perform.

Back

linear function

Front

A function whose graph is a straight line.

Back

compound inequality

Front

Two or more inequalities that are connected by the words and or or.

Back

tolerance

Front

equals one half the difference between max and min values

Back

Sample Space (Probability)

Front

list of all possible outcomes

Back

vertical line test

Front

a visual way to determine if a curve is a graph of a function or not.

Back

theoritical probability

Front

likelihood that a particular event will occur

Back

slope-intercept form

Front

y=mx+b

Back

standard form

Front

Ax + By = C

Back

variable

Front

A symbol used to represent a quantity that can change

Back

opposite

Front

Having a different sign but the same numeral.

Back

vertex

Front

The common endpoint of an angle

Back

x-intercept

Front

where the graph crosses the x-axis

Back

slope

Front

Rise over run

Back

direct variation

Front

The relationship between two variable quantities that have a constant ratio.

Back

Section 2

(41 cards)

linear programming

Front

a method for finding a minimum or maximum value of some quantity, given a set of constraints

Back

determinant

Front

Any attribute in a specific row whose value directly determines other values in that row.

Back

matrix multiplication

Front

Performed by multiplying the elements of each row of the first matrix by the elements of each column of the second matrix. Add the products.

Back

scalar

Front

a physical quantity that has magnitude but no direction

Back

scalar multiplication

Front

the process of multiplying each element of a matrix by a real number or scalar

Back

image

Front

The transformed figure

Back

constant matrix

Front

a matrix that contains the constants of a system

Back

ordered triple

Front

the solution of a system of equations in three variables x, y, and z

Back

variable matrix

Front

a matrix that only contains the variables of a system of equations

Back

range

Front

y values

Back

feasible region

Front

the intersection of the graphs in a system of constraints

Back

coordinate space

Front

Adding a third axis, the z-axis, to the xy-coordinate plane

Back

row operations

Front

taking rows in matrices and swapping them over or multiplying a row by a number

Back

zero matrix

Front

a matrix in which every element is zero

Back

y-intercept

Front

where the line crosses the y axis

Back

linear system

Front

two or more linear equations that have the same variables

Back

center of rotation

Front

A fixed point around which shapes move in a circular motion to a new position.

Back

square matrix

Front

a matrix with the same number of rows and columns

Back

objective function

Front

the expression that defines the quantity to be maximized or minimized in a linear programming model

Back

multiplicative identity matrix

Front

a square matrix with 1 in every entry of the main diagonal and 0 in every other entry

Back

cramer's rule

Front

a method that uses determinants to solve a system of linear equations

Back

inconsistent system

Front

a system of equations or inequalities that has no solution

Back

coefficient matrix

Front

a matrix that contains only the coefficients of a system of equations

Back

system of equations

Front

A set of two or more equations with the same variables.

Back

trace

Front

Outline; follow the course of

Back

dependent system

Front

a system of equations that has infinitely many solutions

Back

preimage

Front

the original figure

Back

Matrix

Front

a rectangular array of numbers

Back

equivalent systems

Front

systems that have the same solutions

Back

augmented matrix

Front

contains the coefficients and the constants from a system of equations

Back

rotation

Front

A transformation in which a figure is turned around a point

Back

dilation

Front

expansion

Back

multiplicative inverse matrix

Front

If A and B are square matrices and AB = BA = I, then B is the multiplicative inverse of A, written A-1.

Back

equal matrices

Front

matrices with the same dimensions and equal corresponding elements

Back

matrix equation

Front

a matrix form used to represent a system of equations

Back

constraints

Front

limitation or restriction

Back

matrix element

Front

Every item listed in a matrix is an element of the matrix. An element is identified by its position in the matrix.

Back

domain

Front

x values

Back

constraints

Front

restrictions placed on potential solutions to a problem

Back

matrix addition

Front

You add two matrices with the same dimensions by adding their corresponding elements.

Back

independent system

Front

a system of equations that has exactly one solution

Back