Solving Systems of Equations Warm Up

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What is a system of equations?

Back

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

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

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What does it mean to solve a system of equations by elimination?

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

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

What is the substitution method in solving systems of equations?

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A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

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How do you graph a system of equations?

Back

By plotting each equation on the same coordinate plane and identifying the point(s) where they intersect.

Tags

CCSS.8.EE.C.8B

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(-2, -4)

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CCSS.HSA.REI.C.9

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Back

(7, -1)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

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Back

(-1, 0)

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CCSS.HSA.REI.C.9

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Back

(4, 1)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

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Back

(3, 1)

Tags

CCSS.HSA.REI.C.9

Front

What is the graphical interpretation of a system of equations with no solution?

Back

The lines representing the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A