Linear / Quadratic Systems of Equations

Front

What is a linear equation?

Back

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is a quadratic equation?

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 lines represented by the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean for a system of equations to have one solution?

Back

A system of equations has one solution when the lines represented by the equations intersect at exactly one point.

Tags

CCSS.8.EE.C.8A

Front

What does it mean for a system of equations to have two solutions?

Back

A system of equations has two solutions when the graphs of the equations intersect at two distinct points.

Tags

CCSS.8.EE.C.8B

Front

How do you solve a system of linear and quadratic equations graphically?

Back

To solve graphically, plot both equations on the same graph and identify the points where they intersect. These points are the solutions.

Tags

CCSS.HSA.REI.C.7

Front

How do you solve a system of linear and quadratic equations algebraically?

Back

To solve algebraically, substitute the linear equation into the quadratic equation and solve for the variable.

Tags

CCSS.HSA.REI.C.7

Front

What is the vertex of a parabola represented by a quadratic equation?

Back

Front

What is the discriminant in a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

Front

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

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3