Solutions to Systems of Equations

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.

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CCSS.8.EE.C.8A

Front

What does it mean if a system of equations has no solution?

Back

The lines are parallel and never intersect.

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CCSS.8.EE.C.8A

Front

What does it mean if a system of equations has infinite solutions?

Back

The lines are the same, meaning they overlap completely.

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CCSS.8.EE.C.8A

Front

How do you determine the number of solutions in a system of equations?

Back

By comparing the slopes and y-intercepts of the equations.

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CCSS.8.EE.C.8B

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope is 'm', which indicates the steepness of the line.

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CCSS.8.EE.B.5

Front

What is the y-intercept in the equation y = mx + b?

Back

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

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CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If two lines have the same slope but different y-intercepts, how many solutions does the system have?

Back

No solutions.

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CCSS.8.EE.C.8B

Front

If two lines have different slopes, how many solutions does the system have?

Back

One solution.

Tags

CCSS.8.EE.C.8B

Front

What is the graphical representation of a system of equations?

Back

It is represented by the intersection of lines on a coordinate plane.

Tags

CCSS.8.EE.C.8A