Algebra 1 Fall Semester Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

How do you find the rate of change in a linear function?

Back

The rate of change is found by calculating the difference in the y-values divided by the difference in the x-values (rise/run) between two points on the line.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What does the slope of a line represent?

Back

The slope represents the steepness of the line and the direction of the relationship between the x and y variables.

Front

What does a horizontal line represent in a graph?

Back

A horizontal line represents a constant y-value for all x-values, indicating no change in y as x changes.

Front

How do you write an inequality from a graph?

Back

To write an inequality from a graph, identify the boundary line and determine if the region above or below the line is included (solid line) or not (dashed line).

Front

What is the difference between a linear and a non-linear function?

Back

A linear function has a constant rate of change and graphs as a straight line, while a non-linear function has a variable rate of change and graphs as a curve.

Front

How do you determine the slope from two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are the two points.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables, and the solution is the region where the graphs of the inequalities overlap.