Systems of eq and ineq REVIEW

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has one solution?

Back

The lines representing the equations intersect at exactly one point.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The lines representing the equations coincide, meaning they are the same line.

Front

What is the slope-intercept form of a linear equation?

Back

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What is the y-intercept of a line?

Back

Front

What is the graphical representation of a system of inequalities?

Back

The solution set is represented by shaded regions on a graph, indicating where the inequalities overlap.

Front

How can you determine if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into each equation; if all equations are satisfied, the point is a solution.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation represents a straight line, while a linear inequality represents a region of the graph where the inequality holds true.