Unit 2 8th Grade Final Exam part 1

Front

What is a function?

Back

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

Front

Does the table represent a function if an input has multiple outputs?

Back

No, if an input has multiple outputs, it does not represent a function.

Front

What is the slope of a line?

Back

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

Front

How do you write the equation of a line in slope-intercept form?

Back

The slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of the equation y = 2/3x - 3?

Back

The y-intercept is -3.

Front

Is the ordered pair (10, 3) a solution of the equation y = 4x - 1?

Back

No, substituting x = 10 gives y = 39, not 3.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs in a function.

Front

What indicates a mapping diagram is not a function?

Back

If any input is connected to more than one output, it is not a function.

Front

What is a linear equation?

Back

A linear equation is an equation that graphs to a straight line, typically in the form y = mx + b.

Front

What is a nonlinear equation?

Back

A nonlinear equation is an equation that does not graph to a straight line, such as quadratic or exponential equations.