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
