Algebra 1 Honors Midterm Review (Chapters 1 - 4)

These flashcards are designed to help review key concepts from the Algebra 1 Honors course, focusing on linear equations, solving methods, relationships in functions, and analytical techniques.

Linear Equation

An equation that makes a straight line when graphed.

No Solution

A situation in which an equation does not have any solutions.

Extraneous Solution

A solution that arises from the process of solving the equation but is not a valid solution.

Absolute Value

The distance of a number from zero on the number line, always non-negative.

Isolate

To solve for a variable by getting it alone on one side of the equation.

Inequality

A statement that compares two expressions using inequality signs (>, <, ≥, ≤).

Function

A relation where each input has exactly one output.

Domain

The set of all possible input (x) values for a function.

Range

The set of all possible output (y) values of a function.

Slope-Intercept Form

A linear equation written as y = mx + b, where m is the slope and b is the y-intercept.

Point-Slope Form

A linear equation written as y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line.

Parallel Lines

Lines that have the same slope and never intersect.

Perpendicular Lines

Lines that intersect at a right angle, having slopes that are opposite reciprocals.

Linear Regression

A statistical method used to model the relationship between a dependent variable and one or more independent variables.

Correlation Coefficient

A number between -1 and 1 that indicates the strength and direction of a linear relationship between two variables.