Alg 1 Review

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does it mean for a line to be increasing?

Back

A line is increasing if the slope is positive, meaning as x increases, y also increases.

Front

What does it mean for a line to be decreasing?

Back

A line is decreasing if the slope is negative, meaning as x increases, y decreases.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

What is the difference between a function and a relation?

Back

A function is a relation where each input has exactly one output, while a relation can have multiple outputs for a single input.

Front

How do you determine if a point lies on a line given by an equation?

Back

Substitute the x-value of the point into the equation and see if the resulting y-value matches the y-value of the point.

Front

What is the meaning of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

How do you graph a linear inequality?

Back

Graph the corresponding linear equation as a solid line (for ≤ or ≥) or dashed line (for < or >) and shade the appropriate region.