Algebra 1 Final EOC Review

Front

What is an inequality in algebra?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

Front

What does it mean for y to be a function of x?

Back

For y to be a function of x, each input value (x) must correspond to exactly one output value (y). This means that no x-value can be paired with more than one y-value.

Front

How do you calculate the average rate of change of a function?

Back

The average rate of change of a function between two points is calculated by taking the difference in the y-values divided by the difference in the x-values: (f(b) - f(a)) / (b - a).

Front

What is a graph of a linear function?

Back

A graph of a linear function is a straight line that represents the relationship between two variables, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is a measure of statistical dispersion, calculated as the difference between the third quartile (Q3) and the first quartile (Q1) in a data set: IQR = Q3 - Q1.

Front

What does it mean for a graph to represent a solution set for an inequality?

Back

A graph representing a solution set for an inequality shows all the points (x, y) that satisfy the inequality, often shaded to indicate the region where the inequality holds true.

Front

What is the slope of a line?

Back

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

Front

How do you determine if a relation is a function using a table of values?

Back

To determine if a relation is a function using a table of values, check that each x-value corresponds to only one y-value. If any x-value has multiple y-values, it is not a function.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero. It is denoted as (0, b) in the equation y = mx + b.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically expressed in the form y = mx + b, where m is the slope and b is the y-intercept.