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# Glencoe Algebra 1 Chapter 3 Vocabulary

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@RazorSharpDaisy

### What is the definition of a Linear Equation?

• An equation that has no solutions
• An equation that forms a circle when graphed
• An equation that forms a line when graphed (correct)
• An equation that only contains one variable

Ax + By = C

### What is a Constant in algebra?

A monomial that is a real number

### What is an X-Intercept?

<p>The x-coordinate of the point at which the graph crosses the x-axis</p> Signup and view all the answers

### What is a Y-Intercept?

<p>The y-coordinate of the point at which the graph crosses the y-axis</p> Signup and view all the answers

### What is a Linear Function?

<p>A function when the graph is a line</p> Signup and view all the answers

### What is the Parent Function in linear equations?

<p>f(x) = -x</p> Signup and view all the answers

### What is a Family of Graphs?

<p>A group of graphs with one or more similar characteristics</p> Signup and view all the answers

### What is a Root of an equation?

<p>The solution of an equation</p> Signup and view all the answers

### What is the Rate of Change?

<p>A ratio that describes how much one quantity changes with respect to a change in another quantity</p> Signup and view all the answers

### What is Slope?

<p>The change in x-coordinates over the change in y-coordinates (Horizontal/Vertical)</p> Signup and view all the answers

### What is Direct Variation?

<p>The equation y = kx; where 'k' doesn't equal zero</p> Signup and view all the answers

### What is the Constant of Variation?

<p>When y = kx illustrates a constant rate of change, then k is the constant of variation</p> Signup and view all the answers

## 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.

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## 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.

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