U3. A1. Test Review: Linear Functions and Inequalities

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is written as Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What does the y-intercept represent in a linear function?

Back

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

Front

How do you identify the slope from the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line, indicating the rate of change of y with respect to x.

Front

What is point-slope form of a linear equation?

Back

Point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

What transformation occurs when a graph is translated down 4 units?

Back

The entire graph moves downwards by 4 units, meaning every point on the graph decreases its y-coordinate by 4.

Front

How can you determine if a point is part of the solution set for a linear inequality?

Back

Substitute the point's coordinates into the inequality. If the inequality holds true, the point is part of the solution set.

Front

What does it mean for a graph to be reflected over the x-axis?

Back

A reflection over the x-axis means that for every point (x, y) on the graph, there is a corresponding point (x, -y) on the reflected graph.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the steepness of the line and the direction of the relationship between x and y; a positive slope means y increases as x increases.

Front

How do you convert from slope-intercept form to standard form?

Back

To convert from slope-intercept form (y = mx + b) to standard form (Ax + By = C), rearrange the equation to isolate all terms on one side.

Front

What is the graphical representation of the equation 7x + 2y = 9?

Back

The graph of the equation 7x + 2y = 9 is a straight line that can be plotted by finding the x-intercept and y-intercept.