Algebra 1

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Terms in this set (...)

binomial
a polynomial with two terms
constant
a value that does not change
factor
a number or expression that is multiplied by another number or expression to get a product
monomial
a number or a product of numbers and variables with whole-number exponents, or a polynomial with one term
polynomial
a monomial or a sum or difference of monomials
consistent system
a system of equations or inequalities that has at least one solution
dependent system
a system of equations that has infinitely many solutions
elimination method
a method used to solve systems of equations in which one variable is eliminated by adding or subtracting two equations of the system
inconsistent system
a system of equations or inequalities that has no solution
independent system
a system of equations that has exactly one solution
substitution method
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)
system of linear equations
a system of equations in which all of the equations are linear
correlation
a measure of the strength an direction of the relationship between two variables or data sets
correlation coefficient
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.
linear regression
a statistical method used to fit a linear model to a given data set
residual
the signed vertical distance between a data point and a line of fit
X-Intercept
The x-coordinate(s) of the point(s) where a graph intersects the x-axis.
Y-Intercept
The y-coordinate(s) of the point(s) where a graph intersects the y-axis.
Linear Function
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.
Rate
A ratio that compares two quantities measured in different units.
Rate of Change
A ratio that compares the amount of change in a dependent variable to the amount of change in an independent variable.
Slope
A measure of the steepness of a line.
Exponent
The number that indicates how many times the base in a power is used as a factor.
Exponential Expressions
An algebraic expression in which the variable is in an exponent with a fixed number as the base.
Exponential Function
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.
Perfect Square
A number whose positive square root is a whole number.
Exponential Growth
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.
Exponential Decay
An exponential function in this form, where r is the rate of decay, a is the initial amount and t is the time.
Base
The number in a power that is used as a factor.
Half-life
The half-life of a substance is the time it takes for one-half of the substance to decay into another substance.
arithmetic sequence
A sequence whose successive terms differ by the same nonzero number, called the "common difference".
common difference
In an arithmetic sequence, the nonzero constant difference of any term and the previous term.
dependent variable
The output of a function; a variable whose value depends on the value of the input, or independent variable.
domain
The set of all inputs (generally x-values) of a relation or function.
function
A relation in which ever domain value is paired with exactly one range value.
function notation
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.
independent variable
The input of a function, a variable whose value determines the value of the output, or dependent variable.
range
The set of all outputs (generally y-values) of a relation or function.
sequence
A list of numbers that often form a pattern.
interval
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irrational number
A real number that cannot be expressed as the ratio of two integers.
like terms
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rational number
A number that can be written as the ratio of two integers.
real number
A rational or irrational number. Every point on the number line represents a real number.
relation
A set of ordered pairs.
whole number
A member of the set of natural numbers and zero
function rule
an algebraic expression that defines a function
compound inequality
two inequalities that are combined into one statement by the word "and" or "or"
empty set
a set with no elements
inequality
a statement that compares two expressions by using "less than" "greater than" "less than or equal to" or "greater than or equal to"
system of linear inequalities
a system of inequalities in which all of the inequalities are linear
coefficient
a number that is multiplied by a variable
constant
a value that does not change
equation
a mathematical statement that two expressions are equivalent
evaluate
to find the value of an algebraic expression by substituting a number for each variable and simplifying by using the order of operations
expression
a mathematical phrase that contains operations, numbers, and/or variables
order of operations
a process for evaluating expressions
solution
a value or values that make an equation true
term
the parts of the expression that are added or subtracted
variable
a symbol used to represent a quantity that can change
=
a symbol meaning equivalent or "equal to"
<
a symbol meaning "less than"
>
a symbol meaning "greater than"
literal equation
an equation that contains two or more variables
coordinate plane
a plane that is divided into four regions by a horizontal and a vertical line called the x- and y-axes
graph
a set of points in a coordinate plane
ordered pair
a pair of numbers (x, y) that can be used to locate a point on a coordinate plane
origin
the intersection of the x- and y-axes in a coordinate plane
per
a word meaning "divide"
point
a location that has no size
prime number
a whole number greater than 1 that has exactly two positive factors, itself and 1
prime factorization
a representation of a number or a polynomial as a product of primes
product
the answer to a multiplication problem
quadrant
one of the four regions into which the x- and y-axes divide the coordinate plane
quotient
the answer to a division problem
sum
the answer to an addition problem
axis
one of two perpendicular number lines used to define the location of a point in a coordinate plane
composite number
a number that is not prime
denominator
the number named by the numeral below the fraction bar
difference
the answer to a subtraction problem
dividend
in division, the number that is being divided
divisor
a number by which another number is being divided
fraction
a number that can be expressed in the form a/b where a and b are whole numbers and b does not equal zero
greatest common factor
the largest common factor of two or more given numbers
integer
a member of the set of whole numbers and their opposites
least common multiple
the smallest whole number, other than zero, that is a multiple of two or more given numbers
mixed number
a whole number and a fraction
numerator
the top number of a fraction