Unit 5 Systems Review

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What is a system of equations?

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A set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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How do you solve a system of equations algebraically?

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You can use substitution or elimination methods to find the values of the variables that satisfy all equations in the system.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean for a system of equations to be consistent?

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A consistent system has at least one solution, meaning the equations intersect at one or more points.

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CCSS.8.EE.C.8B

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What does it mean for a system of equations to be inconsistent?

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An inconsistent system has no solutions, meaning the equations do not intersect at any point.

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CCSS.8.EE.C.8B

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What is the graphical representation of a system of equations?

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The graphs of the equations in the system, where the solution(s) are the points of intersection.

Tags

CCSS.8.EE.C.8B

Front

What is the substitution method?

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A method for solving a system of equations 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

What is the elimination method?

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A method for solving a system of equations by 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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The solution is (2, 3).

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CCSS.HSA.REI.C.9

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The y-coordinate is 1.

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CCSS.HSA.REI.C.9

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CCSS.HSA.REI.D.12