Math 1 Systems of Equations/Inequalities Test Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

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

Back

A point is a solution if it satisfies all equations in the system.

Front

How do you represent a system of equations graphically?

Back

By plotting each equation on the same coordinate plane and finding the intersection points.

Front

What is the substitution method in solving systems of equations?

Back

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

Front

What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.

Front

What is an inequality?

Back

A mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What does it mean for a point to be a solution to a system of inequalities?

Back

A point is a solution if it satisfies all inequalities in the system.

Front

How do you graph a system of inequalities?

Back

By graphing each inequality and shading the region that satisfies all inequalities.

Front

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

Back

It represents the solution where all equations are satisfied simultaneously.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.