## Questions and Answers

What is the definition of a Linear Equation?

What is the Standard Form of a linear equation?

Ax + By = C

What is a Constant in algebra?

A monomial that is a real number

What is an X-Intercept?

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What is a Y-Intercept?

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What is a Linear Function?

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What is the Parent Function in linear equations?

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What is a Family of Graphs?

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What is a Root of an equation?

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What is the Rate of Change?

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What is Slope?

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What is Direct Variation?

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What is the Constant of Variation?

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## 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.