Multiple Representations

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, written in the form (x, y).

Front

How do you identify ordered pairs from a list?

Back

Look for pairs of numbers that are written in parentheses, with the first number representing the x-coordinate and the second number representing the y-coordinate.

Front

What is a table in mathematics?

Back

A table is a systematic arrangement of data, usually in rows and columns, that helps to organize and display relationships between variables.

Front

How can a graph represent a relationship?

Back

A graph visually shows the relationship between two variables, with points plotted based on their ordered pairs.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

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

Front

What does it mean for two variables to be proportional?

Back

Two variables are proportional if they maintain a constant ratio, meaning as one variable increases, the other increases at a consistent rate.

Front

How do you find the equation of a line from a graph?

Back

Identify two points on the line, calculate the slope, and use one point to find the y-intercept to write the equation.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input, often represented as f(x).

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the one that is changed or controlled, while the dependent variable is the one that is measured or affected.