1st Semester Algebra I Final Study Guide

Front

What is the slope of a vertical line?

Back

Undefined

Front

What does the inequality x < -2.8 represent on a number line?

Back

All numbers less than -2.8, represented by an open circle at -2.8 and shading to the left.

Front

What is the common difference in an arithmetic sequence?

Back

The constant amount that each term increases or decreases by; for example, in the sequence -7, -5, -3, -1, the common difference is 2.

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the difference between discrete and continuous data?

Back

Discrete data can only take specific values (like the number of chairs), while continuous data can take any value within a range.

Front

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does it mean for a sequence to be arithmetic?

Back

An arithmetic sequence is one in which the difference between consecutive terms is constant.

Front

What is the definition of a function in mathematics?

Back

A relation where each input (x-value) has exactly one output (y-value).

Front

How do you represent a linear equation in slope-intercept form?

Back

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

Front

What is the y-intercept of the line represented by the equation y = 3x + 4?

Back

The y-intercept is 4, which is the point where the line crosses the y-axis.