FALL 2024 Semester Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

How do you solve a system of equations using substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.

Front

What does the solution (1,4) represent in a system of equations?

Back

It represents the point where the two lines intersect, meaning x=1 and y=4 satisfy both equations.

Front

What is the rate of change in a linear function?

Back

The rate of change is the ratio of the change in the y-values to the change in the x-values, often represented as 'rise over run'.

Front

How do you find the slope of a line given two points?

Back

Use the formula: slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a negative slope indicate about a line?

Back

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

Front

What is the meaning of a rate of change of -30 feet per minute?

Back

It means that the height is decreasing by 30 feet for every minute that passes.

Front

How do you interpret the slope of a graph?

Back

The slope indicates the steepness and direction of the line; it shows how much y changes for a unit change in x.

Front

What is the formula for the slope-intercept form of a line?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the y-intercept represent in a graph?

Back

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