Algebra 1 Semester Exam

Front

What is the simplified form of \(\sqrt{108}\)?

Back

\(6\sqrt{3}\)

Front

What does it mean for a graph to pass the vertical line test?

Back

A graph passes the vertical line test if no vertical line intersects the graph at more than one point, indicating that it is a function.

Front

What is causation in statistics?

Back

Causation indicates that one event is the result of the occurrence of another event.

Front

What is the equivalent inequality for \(x > 1.56\)?

Back

\(x > 0.64\)

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 determine if a relation is a function?

Back

A relation is a function if each input (x-value) has exactly one output (y-value).

Front

What is the definition of a linear inequality?

Back

A linear inequality is an inequality that involves a linear function and can be written in the form \(ax + b < c\), \(ax + b > c\), etc.

Front

What is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, while causation indicates that one variable directly affects the other.

Front

What is the formula for the slope of a line given two points \((x_1, y_1)\) and \((x_2, y_2)\)?

Back

The slope \(m\) is given by \(m = \frac{y_2 - y_1}{x_2 - x_1}\).

Front

What does it mean for an inequality to have no solution?

Back

An inequality has no solution if there are no values that satisfy the inequality.