8.9A Systems of Equations Checkpoint

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What is a system of equations?

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

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CCSS.8.EE.C.8B

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How do you find the solution to a system of equations graphically?

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To find the solution graphically, plot both equations on the same coordinate plane and identify the point(s) where the lines intersect.

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CCSS.8.EE.C.8B

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What does it mean for two lines to be parallel in a system of equations?

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If two lines are parallel, they have the same slope but different y-intercepts, meaning they will never intersect and have no solution.

Tags

CCSS.8.EE.C.8A

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What does it mean for two lines to be coincident in a system of equations?

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If two lines are coincident, they lie on top of each other, meaning they have infinitely many solutions as every point on the line is a solution.

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 remaining variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What is an ordered pair in the context of systems of equations?

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An ordered pair is a pair of numbers (x, y) that represents a point on the coordinate plane, which can be a solution to a system of equations.

Tags

CCSS.8.EE.C.8A

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How can you determine if a solution is correct for a system of equations?

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To check if a solution is correct, substitute the ordered pair into both equations. If both equations are satisfied, the solution is correct.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the significance of the intersection point of two lines in a system of equations?

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The intersection point represents the solution to the system of equations, indicating the values of the variables that satisfy both equations.

Tags

CCSS.8.EE.C.8A

Front

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

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A system has no solution if the lines are parallel, meaning they do not intersect at any point.

Tags

CCSS.8.EE.C.8A