Systems of linear equations

Front

What are systems of linear equations?

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How many solutions can a system of linear equations have?

Back

No solution, One solution, or Infinitely many solutions.

Tags

CCSS.8.EE.C.8B

Front

What does the graph of a system with no solution look like?

Back

Parallel lines.

Tags

CCSS.8.EE.C.8A

Front

What does the graph of a system with infinitely many solutions look like?

Back

Coinciding lines (the same line).

Tags

CCSS.8.EE.C.8A

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean if two lines intersect at a point?

Back

The system of equations has one unique solution.

Tags

CCSS.8.EE.C.8B

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines representing the equations.

Tags

CCSS.8.EE.C.8A

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