6.1-6.3 review 1

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how many units of one quantity correspond to one unit of another quantity.

Front

How do you determine if a function is linear or nonlinear?

Back

A function is linear if it can be represented by a straight line on a graph, meaning it has a constant rate of change. A nonlinear function does not have a constant rate of change and cannot be represented by a straight line.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How do you write an equation from a word problem?

Back

To write an equation from a word problem, identify the variables, determine the relationship between them, and express that relationship mathematically.

Front

What does the slope of a line represent in a linear equation?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

How can you identify a function from a mapping diagram?

Back

A mapping diagram represents a function if each input (x-value) is connected to exactly one output (y-value). If any input is connected to more than one output, it is not a function.

Front

What is the difference between a linear function and a nonlinear function?

Back

A linear function has a constant rate of change and can be graphed as a straight line, while a nonlinear function has a variable rate of change and cannot be graphed as a straight line.