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

How do you find the vertex of a quadratic function?

Back

Front

What does it mean for a system of equations to be consistent?

Back

A system of equations is consistent if it has at least one solution. This can be either one unique solution or infinitely many solutions.

Tags

CCSS.8.EE.C.8B

Front

What does it mean for a system of equations to be inconsistent?

Back

A system of equations is inconsistent if it has no solutions, meaning the lines represented by the equations do not intersect.

Tags

CCSS.8.EE.C.8B

Front

What is the method of substitution in solving systems of equations?

Back

The method of substitution involves solving one equation for one variable and then substituting that expression into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the method of elimination in solving systems of equations?

Back

The method of elimination involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you graph a quadratic function?

Back

To graph a quadratic function, identify the vertex, axis of symmetry, and intercepts. Plot these points and draw a smooth curve through them.

Tags

CCSS.HSF-IF.C.7A

Front

What is the discriminant in a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

Front

Back

The solutions are the points where the two equations intersect: (-4, -1) and (2, 5).

Tags

CCSS.HSA.REI.C.7