Systems of Equations Review

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

The (x,y) coordinates satisfy all equations in the system.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How can you solve a system of equations graphically?

Back

By plotting the equations on a graph and identifying the point(s) where they intersect.

Tags

CCSS.8.EE.C.8B

Front

What is the graphical representation of the equation y = mx + b?

Back

A straight line with slope m and y-intercept b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the slope of a line represent in a linear equation?

Back

The rate of change of y with respect to x.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis (x=0).

Front

How do you determine if two lines are parallel?

Back

If they have the same slope but different y-intercepts.

Tags

CCSS.8.EE.B.6

Front

What does it mean if two lines intersect at a point?

Back

The point is the unique solution to the system of equations.

Tags

CCSS.8.EE.C.8A

Front

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

Back

(1, 3) - The point where the two lines intersect.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

If the lines are parallel and never intersect.

Tags

CCSS.8.EE.C.8A