Algebra 1 Fall Semester Exa,

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

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 steep the line is.

Front

How do you find the slope from a table of values?

Back

To find the slope from a table of values, use the formula: slope (m) = (change in y) / (change in x) between two points.

Front

What is the y-intercept in a linear function?

Back

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

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as the value of x increases, the value of y decreases, showing an inverse relationship.

Front

What is the maximum value of a function?

Back

The maximum value of a function is the highest point on the graph of the function, representing the greatest output value (y) for any input value (x).

Front

What is causation in mathematics?

Back

Causation refers to a relationship where one event (the cause) directly affects another event (the effect). It implies that changes in one variable will result in changes in another.

Front

What is a scatterplot?

Back

A scatterplot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

Front

How can you determine the best-fitting linear function from a scatterplot?

Back

To determine the best-fitting linear function from a scatterplot, look for the line that minimizes the distance between the line and all the points, often using methods like least squares.

Front

What is the equation of a line in slope-intercept form?

Back

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