Algebra 1 FOU LIN SYS Term Review

term

A number, a variable, or a combination of a number and a variable

variable

A letter that represents a value that can change or vary

coefficient

A number multiplied by a variable in an algebraic expression.

constant term

A value that does not change; an integer without a variable in an expression or equation

algebraic expression

A mathematical phrase made up of terms; each term is separated by a + or -

polynomial

another name for an algebraic expression; special cases include monomial (one term), binomial (two terms), and trinomial (3 terms)

standard form

when the terms of a polynomial are arranged in 1) alphabetical order and 2) exponential order (from largest to smallest)

like terms

Expressions that contain the same variables to the same power (exponent)

rational number

Any number that can be written as a fraction; includes natural, whole, and integer numbers; includes decimals that end or repeat

irrational number

a number that can NOT be expressed as a fraction; includes decimals that never end or repeat - Pi or any square root of an imperfect square are considered irrational

radical

another name for a square root

coordinate plane

A coordinate system formed by the intersection of a horizontal number line, called the x-axis, and a vertical number line, called the y-axis.

x-intercept

x coordinate of a point where a graph crosses the x axis; y coordinate of this point is zero

y-intercept

y-coordinate of a point on a line that crosses the y-axis; when x = 0 (ex: (0,3))

slope

Rise over run;

The steepness of a line on a graph;

(y₂-y₁)/(x₂-x₁)

ordered pair

A pair of numbers that can be used to locate a point on a coordinate plane, for example (3,2); also known as a coordinate or a point

system of linear equations

Two or more linear equations to be solved at the same time (with the same variables)

function

A relation in which each element of the domain is paired with exactly one element in the range

domain

All of the input or x values in a function

range

All of the output or y values in a function

GCF

The greatest number/variable that is a factor of each of two or more numbers.