Solving Systems of linear and quadratic equations

Front

What is a system of linear equations?

Back

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

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

What is a system of quadratic equations?

Back

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

Tags

CCSS.HSA.REI.C.7

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system.

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

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.

Tags

CCSS.HSF-IF.C.7A

Front

What is the point of intersection in a system of equations?

Back

The point where the graphs of the equations meet, representing the solution.

Tags

CCSS.8.EE.C.8B

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

What is a unique solution in a system of equations?

Back

When the lines intersect at exactly one point.

Tags

CCSS.8.EE.C.8A

Front

What is an infinite number of solutions in a system of equations?

Back

When the equations represent the same line.

Tags

CCSS.8.EE.C.8B

Front

How do you solve a linear equation?

Back

Isolate the variable on one side of the equation.

Tags

CCSS.7.EE.B.4A