NC MATH 1 EOC STUDY GUIDE

Order of Operations

The sequence of operations to solve expressions: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right).

Function Notation

The notation f(x) represents the output of function f for the input x.

Slope

The measure of the steepness of a line, calculated as m = (y₂ - y₁) / (x₂ - x₁).

Slope-Intercept Form

The equation of a line in the form y = mx + b, where m is the slope and b is the y-intercept.

Parallel Lines

Lines that have the same slope and never intersect.

Perpendicular Lines

Lines that intersect at a right angle, with slopes that are negative reciprocals of each other.

Mean

The average value of a data set, calculated by dividing the sum of all values by the number of values.

Median

The middle value in a data set when the numbers are arranged in ascending order.

Mode

The value that appears most frequently in a data set.

Range

The difference between the highest and lowest values in a data set.

Standard Deviation

A measure of the amount of variation or dispersion in a set of values.

Growth Function

An exponential function represented as y = a(1 + r)^t.

Decay Function

An exponential function represented as y = a(1 - r)^t.

Axis of Symmetry

A vertical line that divides a parabola into two symmetrical parts, given by the formula x = -b/(2a).

Quadratic Function Standard Form

The form of a quadratic function expressed as y = ax^2 + bx + c.

Literal Equations

Equations that require solving for a specific variable in terms of others.

System of Equations

A set of two or more equations with the same variables.

Solution of a System

The point(s) where the equations intersect; can be one solution, no solution, or infinitely many.

Graphing Linear Functions

Plotting a straight line that represents a linear equation on a coordinate plane.

Checking Solutions

Verifying the solution of an equation by substituting back into the original equation.

Word Problems

Problems that require translating written phrases into mathematical equations.