Systems of Equations

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean if two lines are parallel in a system of equations?

Back

They have no solutions because they never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if two lines are perpendicular in a system of equations?

Back

They intersect at a right angle and have one solution.

Tags

CCSS.8.EE.C.8B

Front

What does it mean if a system of equations has one solution?

Back

The lines intersect at exactly one point.

Tags

CCSS.8.EE.C.8A

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the point into both equations; if both are true, it is a solution.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and then 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.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the graphical method for solving systems of equations?

Back

Plotting the equations on a graph and finding the intersection point.

Tags

CCSS.8.EE.C.8B

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you tell if two lines are neither parallel nor perpendicular?

Back

If their slopes are different but not negative reciprocals.

Tags

CCSS.8.EE.B.6