Semester 1 Algebra Test

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What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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What does it mean if a system of equations has one solution?

Back

It means that the two lines represented by the equations intersect at exactly one point.

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CCSS.8.EE.C.8A

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

Back

It means that the two lines represented by the equations are coincident, meaning they lie on top of each other.

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CCSS.8.EE.C.8A

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

Back

It means that the two lines represented by the equations are parallel and will never intersect.

Tags

CCSS.8.EE.C.8A

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What is the substitution method in solving systems of equations?

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What is the elimination method in solving systems of equations?

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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

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What is the graphical method of solving systems of equations?

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The graphical method involves graphing both equations on the same set of axes and identifying the point(s) of intersection.

Tags

CCSS.8.EE.C.8B

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What are coincident lines?

Back

Coincident lines are lines that lie on top of each other, representing infinitely many solutions to a system of equations.

Tags

CCSS.8.EE.C.8A

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What are parallel lines?

Back

Parallel lines are lines that never intersect, representing no solutions to a system of equations.

Tags

CCSS.8.EE.C.8A

Front

What is the slope of a line?

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The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Tags

CCSS.8.EE.B.5