Integrated Math 1 vocabulary

Opposites

Numbers the the same absolute value but different signs

Base

The number used as a factor in an exponential expression.

Perfect Square

The product of an integer multiplied by itself

Domain

The set of all possible input values of a relation or function

Range

The set of output values of a relation or function (most of the time, the y-values)

Parent Function

The simplest of functions in a family of functions

Evaluate

To find the value of an expression

Simplify

To perform all indicated operations (leaves no parenthesis, no like terms, no negative exponents)

Perpendicular Lines

Two lines whose slopes are opposite reciprocals

Vertical Line

A line whose equation is x = a where a is the x-intercept

Inequality

A mathematical sentence that contains less than, greater than, less than or equal to, greater than or equal to, or not equal

Substitution method

A method for solving systems of equations by solving and equation for one variable and substituting the resulting exression into the equation

Elimination method

A method used for solving a system of equations in which one variable is eliminated by adding or subtracting two equations of a system

Rational number

A number that can be written as a/b where a and b are integers, but b is not equal to 0 (terminating decimals and repeating decimals)

Irrational numbers

A number which can't be expressed as a ratio of two integers (pi, decimals that do not terminate or repeat, the square root of any number that is NOT a perfect square)

Exponent

A quantity representing the power to which a given number or expression is to be raised

System of equations

A set of two or more equations containing two or more variables

Point-slope form of a linear equation

An equation in the form y - y1 = m(x - x1)

Slope-intercept form of a linear equation

An equation in the form y=mx+b

Indirect Variation

An equation of the form y= k/x where there is a constant product

Direct Variation

An equation of the form y=kx where there is a constant ratio

Standard form of a linear equation

An equation of the form, Ax + By = C, where A, B, and C are integers and A is positive

Slope

Describes the steepness of a line; rise over run; the change in y over the change in x

Vertical angles

Each of the pairs of opposite angles made by 2 intersecting lines.

Integers

The set of whole numbers and their opposites

Horizontal Line

A line described by the equation y=b where b is the y-intercept

Whole numbers

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

Absolute value

The distance a number is from zero on a numberline

Solution

The number or set of numbers that makes a mathematical statement true

Coefficient

The number that is being multipied against the varibale.

collinear points

points that lie on the same line; the slope between all points must be the same

X-intercept

the x-coordinate of a point where a graph crosses the x-axis (y is always 0 at this point)

Y-intercept

the y-coordinate of a point where a graph crosses the y-axis (x-value is always 0 at this point)

Supplementary Angles

2 or more angles that add up to 180 degrees

Complimentary Angles

2 or more angles that add up to 90 degrees

Parallel Lines

Lines whose slope is the same

Factors

Quantities that are being multiplied in an algebraic expression

Like Terms

Terms with the same variables raised to the same exponents

function

an input-output relationship that has exactly one output for each input