a method used to solve systems of equations in which one variable is eliminated by adding or subtracting two equations of the system

Back

dependent variable

Front

The output of a function; a variable whose value depends on the value of the input, or independent variable.

Back

sequence

Front

A list of numbers that often form a pattern.

Back

like terms

Front

terms whose variables and their exponents are the same

Back

dependent system

Front

a system of equations that has infinitely many solutions

Back

domain

Front

The set of all inputs (generally x-values) of a relation or function.

Back

arithmetic sequence

Front

A sequence whose successive terms differ by the same nonzero number, called the "common difference".

Back

function

Front

A relation in which ever domain value is paired with exactly one range value.

Back

residual

Front

the signed vertical distance between a data point and a line of fit

Back

inconsistent system

Front

a system of equations or inequalities that has no solution

Back

whole number

Front

A member of the set of natural numbers and zero

Back

Exponential Decay

Front

An exponential function in this form, where r is the rate of decay, a is the initial amount and t is the time.

Back

Exponential Expressions

Front

An algebraic expression in which the variable is in an exponent with a fixed number as the base.

Back

substitution method

Front

A method used to solve systems of equations by solving an equation for one variable and substituting the resulting expression into the other equation(s)

Back

monomial

Front

a number or a product of numbers and variables with whole-number exponents, or a polynomial with one term

Back

common difference

Front

In an arithmetic sequence, the nonzero constant difference of any term and the previous term.

Back

compound inequality

Front

two inequalities that are combined into one statement by the word "and" or "or"

Back

Y-Intercept

Front

The y-coordinate(s) of the point(s) where a graph intersects the y-axis.

Back

Exponential Growth

Front

An exponential function in the form y=a(1+r)^t, where r is the rate of growth, a is the initial amount and t is the time.

Back

empty set

Front

a set with no elements

Back

correlation

Front

a measure of the strength an direction of the relationship between two variables or data sets

Back

relation

Front

A set of ordered pairs.

Back

factor

Front

a number or expression that is multiplied by another number or expression to get a product

Back

real number

Front

A rational or irrational number. Every point on the number line represents a real number.

Back

X-Intercept

Front

The x-coordinate(s) of the point(s) where a graph intersects the x-axis.

Back

Linear Function

Front

A function that can be written in the form y=mx+b, where x is the independent variable and m and b are real numbers. Its graph is a line.

Back

Exponent

Front

The number that indicates how many times the base in a power is used as a factor.

Back

binomial

Front

a polynomial with two terms

Back

Exponential Function

Front

A function in the form f(x)=ab^x where a and b are real numbers, a does not equal zero, b>0, and b does not equal 1.

Back

linear regression

Front

a statistical method used to fit a linear model to a given data set

Back

Base

Front

The number in a power that is used as a factor.

Back

function notation

Front

If x is the independent variable and y is the dependent variable, than the function can be written as f(x), where f names the function.

Back

Half-life

Front

The half-life of a substance is the time it takes for one-half of the substance to decay into another substance.

Back

Slope

Front

A measure of the steepness of a line.

Back

Perfect Square

Front

A number whose positive square root is a whole number.

Back

Rate

Front

A ratio that compares two quantities measured in different units.

Back

independent variable

Front

The input of a function, a variable whose value determines the value of the output, or dependent variable.

Back

range

Front

The set of all outputs (generally y-values) of a relation or function.

Back

inequality

Front

a statement that compares two expressions by using "less than" "greater than" "less than or equal to" or "greater than or equal to"

Back

system of linear equations

Front

a system of equations in which all of the equations are linear

Back

polynomial

Front

a monomial or a sum or difference of monomials

Back

function rule

Front

an algebraic expression that defines a function

Back

correlation coefficient

Front

a number r greater than or equal to -1 and less than or equal to 1, that describes how closely the points in a scatter plot cluster around the line of best fit.

Back

irrational number

Front

A real number that cannot be expressed as the ratio of two integers.

Back

independent system

Front

a system of equations that has exactly one solution

Back

rational number

Front

A number that can be written as the ratio of two integers.

Back

constant

Front

a value that does not change

Back

consistent system

Front

a system of equations or inequalities that has at least one solution

Back

interval

Front

The numbers between two specific values.

Back

Rate of Change

Front

A ratio that compares the amount of change in a dependent variable to the amount of change in an independent variable.

Back

Section 2

(38 cards)

origin

Front

the intersection of the x- and y-axes in a coordinate plane

Back

coefficient

Front

a number that is multiplied by a variable

Back

fraction

Front

a number that can be expressed in the form a/b where a and b are whole numbers and b does not equal zero

Back

prime number

Front

a whole number greater than 1 that has exactly two positive factors, itself and 1

Back

point

Front

a location that has no size

Back

expression

Front

a mathematical phrase that contains operations, numbers, and/or variables

Back

solution

Front

a value or values that make an equation true

Back

product

Front

the answer to a multiplication problem

Back

divisor

Front

a number by which another number is being divided

Back

<

Front

a symbol meaning "less than"

Back

equation

Front

a mathematical statement that two expressions are equivalent

Back

literal equation

Front

an equation that contains two or more variables

Back

coordinate plane

Front

a plane that is divided into four regions by a horizontal and a vertical line called the x- and y-axes

Back

term

Front

the parts of the expression that are added or subtracted

Back

axis

Front

one of two perpendicular number lines used to define the location of a point in a coordinate plane

Back

quotient

Front

the answer to a division problem

Back

quadrant

Front

one of the four regions into which the x- and y-axes divide the coordinate plane

Back

greatest common factor

Front

the largest common factor of two or more given numbers

Back

prime factorization

Front

a representation of a number or a polynomial as a product of primes

Back

constant

Front

a value that does not change

Back

order of operations

Front

a process for evaluating expressions

Back

variable

Front

a symbol used to represent a quantity that can change

Back

numerator

Front

the top number of a fraction

Back

dividend

Front

in division, the number that is being divided

Back

denominator

Front

the number named by the numeral below the fraction bar

Back

system of linear inequalities

Front

a system of inequalities in which all of the inequalities are linear

Back

evaluate

Front

to find the value of an algebraic expression by substituting a number for each variable and simplifying by using the order of operations

Back

difference

Front

the answer to a subtraction problem

Back

ordered pair

Front

a pair of numbers (x, y) that can be used to locate a point on a coordinate plane

Back

=

Front

a symbol meaning equivalent or "equal to"

Back

>

Front

a symbol meaning "greater than"

Back

graph

Front

a set of points in a coordinate plane

Back

mixed number

Front

a whole number and a fraction

Back

integer

Front

a member of the set of whole numbers and their opposites

Back

least common multiple

Front

the smallest whole number, other than zero, that is a multiple of two or more given numbers