Systems of Equations Word Problems

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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.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

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It means the 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 no solution?

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

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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?

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It means the lines represented by the equations are the same line, thus they intersect at every point on that line.

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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

Front

What is the graphical method for solving systems of equations?

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The graphical method involves graphing each equation on the same coordinate plane and identifying the point(s) of intersection.

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CCSS.8.EE.C.8B

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How do you determine if two lines are parallel?

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Two lines are parallel if they have the same slope but different y-intercepts.

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CCSS.8.EE.B.6

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How do you determine if two lines are perpendicular?

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Two lines are perpendicular if the product of their slopes is -1.

Tags

CCSS.8.EE.B.6

Front

What is the standard form of a linear equation?

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