Semester 1 Cumulative Review

Front

What is a linear equation?

Back

An equation that graphs to a straight line, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

What is the slope of a line?

Back

The slope (m) is a measure of the steepness of a line, calculated as the rise over run between two points on the line.

Front

How can you determine if a relation is a function?

Back

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

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two variables using dots to represent data points.

Front

What does it mean for an equation to be nonlinear?

Back

An equation is nonlinear if it does not graph to a straight line, often involving exponents, roots, or other non-linear terms.

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 = 0.

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.

Front

What does it mean for a graph to represent a function?

Back

It means that for every x-value, there is only one corresponding y-value.

Front

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

Back

Calculate the change in y (rise) divided by the change in x (run) between two points.