Solving Systems of linear and quadratic equations

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 for a point to be a solution to a system of equations?

Back

A point is a solution if it satisfies all equations in the system.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

What is the graphical representation of a quadratic equation?

Back

A parabola on a coordinate plane.

Front

How can you determine the number of solutions in a system of linear and quadratic equations?

Back

By analyzing the intersection points of the graphs of the equations.

Front

What is the vertex of a parabola?

Back

The highest or lowest point on the graph of a quadratic function.

Front

What is the standard form of a quadratic equation?

Back

y = ax^2 + bx + c, where a, b, and c are constants.

Front

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

Back

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

Front

How do you find the x-intercept of a linear equation?

Back

Set y = 0 and solve for x.

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 and solve for y.