Honors Midterm

Front

What is a system of equations?

Back

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

Front

What does it mean if a system of equations has no solution?

Back

It means that the equations represent parallel lines that never intersect.

Front

How do you convert an inequality to slope-intercept form?

Back

Isolate y on one side of the inequality, resulting in the form y = mx + b.

Front

What is slope-intercept form?

Back

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

Front

What are parallel lines?

Back

Lines that never intersect and have the same slope.

Front

What are coinciding lines?

Back

Lines that lie on top of each other, representing infinite solutions.

Front

What are intersecting lines?

Back

Lines that cross at one point, representing a unique solution.

Front

How do you represent a linear equation graphically?

Back

By plotting points that satisfy the equation and connecting them to form a line.

Front

What is the significance of the y-intercept in a linear equation?

Back

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

Front

What is the meaning of the slope in a linear equation?

Back

The slope (m) indicates the rate of change of y with respect to x.