Systems of Equations & Inequalities Review

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What is a system of equations?

Back

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.

Tags

CCSS.8.EE.C.8B

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What does it mean to solve a system of equations?

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To solve a system of equations means to find the values of the variables that satisfy all equations in the system simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is substitution in solving systems of equations?

Back

Substitution is a method 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

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What is the difference between a solid line and a dotted line when graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution (≥ or ≤), while a dotted line indicates that the points on the line are not included (> or <).

Tags

CCSS.HSA.REI.D.12

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How do you determine if a point is a solution to a system of inequalities?

Back

A point is a solution if it satisfies all inequalities in the system when substituted into them.

Front

What is the graphical representation of the solution to a system of equations?

Back

The solution is represented by the point(s) where the graphs of the equations intersect.

Tags

CCSS.8.EE.C.8B

Front

What does the term 'feasible region' refer to in the context of inequalities?

Back

The feasible region is the area on a graph that satisfies all inequalities in a system, representing all possible solutions.

Tags

CCSS.HSA.REI.D.12

Front

Back

Tags

CCSS.HSA.REI.D.12

Front

Back

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

It means that the lines representing the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A