Algebra 1 Final Review #3

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. Solutions are the points where the equations intersect on a graph.

Tags

CCSS.8.EE.C.8B

Front

What does it mean if a system of equations has no solution?

Back

It means the lines represented by the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

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

Back

It means the lines intersect at exactly one point, which is the solution to the system.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means the lines are the same line, representing the same equation, and intersect at every point along that line.

Tags

CCSS.8.EE.C.8A

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Tags

CCSS.8.EE.B.6

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Tags

CCSS.8.EE.B.6

Front

What is the slope-intercept form of a line?

Back

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CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the slope of a line given two points?

Back

Tags

CCSS.8.EE.B.5

Front

What is the point of intersection of two lines?

Back

The point where the two lines cross, representing the solution to the system of equations.

Tags

CCSS.8.EE.C.8B

Front

How can you solve a system of equations graphically?

Back

By graphing both equations on the same coordinate plane and identifying the point(s) where they intersect.

Tags

CCSS.8.EE.C.8B