Solving Systems by Graphing and Substitution

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 a solution?

Back

It means there is at least one set of values for the variables that satisfies all equations in the system.

Tags

CCSS.8.EE.C.8B

Front

What is the graphical representation of a system of equations?

Back

The lines of the equations plotted on a graph.

Tags

CCSS.8.EE.C.8A

Front

What does it mean when two lines intersect on a graph?

Back

It indicates that the system of equations has a unique solution at the point of intersection.

Tags

CCSS.8.EE.C.8A

Front

What is substitution in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you check if an ordered pair is a solution to a system of equations?

Back

Substitute the values of the ordered pair into both equations to see if they hold true.

Front

What is slope-intercept form?

Back

A way of writing linear equations in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the first step in solving a system by graphing?

Back

Graph each equation on the same coordinate plane.

Tags

CCSS.8.EE.C.8B

Front

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

Back

It means the system has no solution because the lines never intersect.

Tags

CCSS.8.EE.C.8B

Front

What is the solution to the system: x + y = 5 and x - y = 1?

Back

(3, 2) is the solution.

Tags

CCSS.HSA.REI.C.9