Quadratic Linear system

Front

What is a quadratic linear system?

Back

A system of equations that includes at least one quadratic equation and one linear equation.

Front

How many solutions can a quadratic linear system have?

Back

A quadratic linear system can have no solutions, one solution, or two solutions.

Front

What does it mean if a system has no solutions?

Back

It means that the graphs of the equations do not intersect.

Front

What does it mean if a system has one solution?

Back

It means that the graphs of the equations intersect at exactly one point.

Front

What does it mean if a system has two solutions?

Back

It means that the graphs of the equations intersect at two points.

Front

What is the significance of the equal sign in inequalities?

Back

If an inequality has an equal sign (e.g., ≤ or ≥), it indicates that the boundary line is solid.

Front

What is the significance of the inequality symbols > and

Back

These symbols indicate that the boundary line is dashed, meaning points on the line are not included in the solution.

Front

How do you determine the number of solutions in a linear-quadratic system?

Back

By analyzing the intersection points of the linear and quadratic graphs.

Front

What is the solution to the system: x - 3y = 8 and x + 3y = 2?

Back

(5, -1)

Front

What is the graphical representation of a quadratic equation?

Back

A parabola, which can open upwards or downwards.