Systems of Equations

Front

What is a system of equations?

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

It means that the point satisfies all equations in the system.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

Substitute the point's coordinates into each equation and check if they hold true.

Front

What is the graphical representation of a system of equations?

Back

The intersection point(s) of the lines represented by the equations.

Tags

CCSS.8.EE.C.8A

Front

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

Back

They have no solutions because they never intersect.

Tags

CCSS.8.EE.C.8A

Front

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

Back

They have infinitely many solutions because they are the same line.

Tags

CCSS.8.EE.C.8A

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 solution to the system of equations y = 2x + 1 and y = 4x - 1?

Back

(1, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system of equations y = 3x - 8 and y = 4 - x?

Back

(3, 1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6