Review System of Equations (E-Learning 1/6)

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 system of equations to have no solution?

Back

It means the equations represent parallel lines that never intersect.

Tags

CCSS.8.EE.C.8A

Front

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

Back

It means 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 infinitely many solutions?

Back

It means the equations represent the same line, overlapping each other.

Tags

CCSS.8.EE.C.8A

Front

Solve the system by elimination: 5x + 8y = -12 and 3x + 5y = -7.

Back

(-4, 1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

If two lines are parallel, what can be said about their slopes?

Back

The slopes of parallel lines are equal.

Tags

CCSS.8.EE.B.6

Front

What is the graphical representation of a system with one solution?

Back

Two lines intersecting at a single point.

Tags

CCSS.8.EE.C.8A

Front

What is the graphical representation of a system with no solution?

Back

Two parallel lines that do not intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the graphical representation of a system with infinitely many solutions?

Back

Two overlapping lines that are the same.

Tags

CCSS.8.EE.C.8A

Front

How can you determine if a system of equations has no solution?

Back

If the equations simplify to a false statement, like 0 = 5.

Tags

CCSS.8.EE.C.8B