Glencoe Algebra 1 Chapter 3 Vocabulary

Study Notes

Linear Equations and Functions

Linear equation produces a line when graphed, typically structured as Ax + By = C.
Standard form representation of a linear equation is also Ax + By = C.
A linear function is marked by a graph that results in a line.

Key Concepts

Constants refer to monomials represented by a real number, remaining unchanged throughout equations.
X-intercept indicates where the graph intersects the x-axis, defined by its x-coordinate.
Y-intercept denotes the point where the graph crosses the y-axis, described by its y-coordinate.

Functions and Characteristics

The parent function, f(x) = -x, is the simplest form of a linear function.
A family of graphs consists of multiple graphs sharing similar features.

Solutions and Rates

The root of an equation signifies its solution or the value(s) that satisfy it.
Rate of change quantifies how one quantity alters concerning another, expressed as a ratio.

Slope and Variation

Slope is calculated as the change in y-coordinates divided by the change in x-coordinates, showcasing horizontal and vertical shifts.
Direct variation is defined by the equation y = kx, where k is a non-zero constant. This represents a proportional relationship between y and x.
The constant of variation (constant of proportionality) is the value k in the direct variation equation, indicating consistent rate changes.

Description

Test your knowledge of key vocabulary from Chapter 3 of Glencoe Algebra 1. This quiz features essential terms such as linear equations, standard form, and intercepts. Perfect for students looking to strengthen their understanding of algebra concepts.