Algebra 1 Semester Flashcardizz

Front

What is the domain of a linear function represented by the inequality -9 < x ≤ 2?

Back

The domain includes all x-values greater than -9 and up to and including 2.

Front

How do you determine the rate of change of a linear function?

Back

The rate of change is calculated as the change in y divided by the change in x (slope). For example, if the slope is -0.75, it means for every 1 unit increase in x, y decreases by 0.75.

Front

What does it mean if a line is dotted in a graph of an inequality?

Back

A dotted line indicates that the points on the line are not included in the solution set of the inequality.

Front

What is the solution to the inequality y > -3/4 x + 3 for the point (0, 4)?

Back

The point (0, 4) is a solution because when you substitute x = 0, y = 4 is greater than 3.

Front

What is the significance of the shaded region in a graph of an inequality?

Back

The shaded region represents all the possible solutions to the inequality.

Front

How do you identify if a point is a solution to an inequality?

Back

Substitute the x and y values of the point into the inequality. If the inequality holds true, then the point is a solution.

Front

What does the inequality -6 < g(x) ≤ 3 represent?

Back

This inequality indicates that the function g(x) takes on values greater than -6 and up to and including 3.

Front

What is the difference between a solid line and a dotted line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution set, while a dotted line indicates they are not.

Front

How can you graph the inequality y ≤ 2x + 1?

Back

First, graph the line y = 2x + 1 with a solid line, then shade below the line to represent all y-values less than or equal to the line.

Front

What does the term 'slope' refer to in a linear function?

Back

The slope is a measure of the steepness of the line, calculated as the rise over run (change in y over change in x).