Systems of Equations - Review

Front

What is the solution when both lines are graphed over each other?

Back

Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B

Front

Find the solution for the following system of equations: 5x + 2y = 15 and -5x + 2y = 5

Back

(1, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Why do parallel lines never intersect?

Back

They have the same slopes.

Front

If a system of equations has no solution, what does the graph look like?

Back

Parallel lines.

Tags

CCSS.8.EE.C.8A

Front

Solve for x and y: 3x + 2y = 16 and 7x + y = 19

Back

(2, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.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 if a system of equations has one solution?

Back

The lines intersect at exactly one point.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The lines overlap completely.

Tags

CCSS.8.EE.C.8A

Front

What is the slope of a line in the equation y = mx + b?

Back

m (the coefficient of x).

Tags

CCSS.8.EE.B.5

Front

How can you determine if two lines are parallel from their equations?

Back

If they have the same slope.

Tags

CCSS.8.EE.B.6