Systems of Equations Graphing (Math)

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 one solution?

Back

The lines representing the equations intersect at exactly one point.

Tags

CCSS.8.EE.C.8A

Front

What does it mean for a system of equations to have no solution?

Back

The lines representing the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

The lines representing the equations are the same line, overlapping completely.

Tags

CCSS.8.EE.C.8A

Front

How do you graph a linear equation?

Back

You can graph a linear equation by finding two or more points that satisfy the equation and connecting them.

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What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a line?

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The y-intercept is the point where the line crosses the y-axis.

Front

How can you determine the solution of a system of equations graphically?

Back

The solution is the point where the graphs of the equations intersect.

Tags

CCSS.8.EE.C.8B

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What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6