Chapter 6 Review - Solving Systems with Inequalities

Front

What is slope-intercept form?

Back

Front

Back

Front

What does it mean for a system of equations to have no solution?

Back

A system of equations has no solution when the graphs of the equations are parallel lines, meaning they never intersect.

Front

Back

Front

What is the solution to the system of equations represented by the point (1, 3)?

Back

Front

How do you determine if a point is a solution to a system of inequalities?

Back

Substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

Front

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

Back

Front

Back

Front

What is the difference between intersecting lines and parallel lines in a system of equations?

Back

Intersecting lines have one solution (the point of intersection), while parallel lines have no solutions as they never meet.

Front

How can you graph a system of inequalities?

Back

Graph each inequality as a line, use solid or dashed lines as appropriate, and shade the region that satisfies each inequality.