Systems Of Equations by Graphing

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 to solve a system of equations by graphing?

Back

It means to find the point(s) where the graphs of the equations intersect.

Tags

CCSS.8.EE.C.8B

Front

What is the solution to a system of equations?

Back

The point(s) where the equations intersect, representing the values of the variables that satisfy all equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you graph the equation y = 2x + 1?

Back

Start at (0,1) on the y-axis, then use the slope of 2 to rise 2 units and run 1 unit to the right.

Front

What is the slope of the line represented by the equation y = 4x - 1?

Back

The slope is 4.

Tags

CCSS.8.EE.B.5

Front

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

Back

It means there is no solution to the system because the lines never intersect.

Tags

CCSS.8.EE.C.8B

Front

What does it mean if two lines coincide when graphing a system of equations?

Back

It means there are infinitely many solutions because the lines are the same.

Tags

CCSS.8.EE.C.8A

Front

How do you identify the solution from a graph of two lines?

Back

Look for the point where the two lines intersect.

Tags

CCSS.8.EE.C.8B

Front

What is the ordered pair for the solution of the system y = 3x - 8 and y = 4 - x?

Back

(3, 1) is the solution.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the format of an ordered pair?

Back

(x, y) where x is the horizontal value and y is the vertical value.

Tags

CCSS.5.G.A.1