Unit 5 Foundations Systems of Equations and Inequalities 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 to solve a system of equations by substitution?

Back

It involves solving one equation for one variable and substituting that expression into the other equation.

Front

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

Back

Substitute the point's coordinates into both equations; if both equations are true, the point is a solution.

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What is the graphical representation of a system of equations?

Back

The graphs of the equations plotted on the same coordinate plane, where the intersection points represent the solutions.

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinite solutions?

Back

The equations represent the same line, meaning every point on the line is a solution.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

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How can you represent a real-world situation with a system of equations?

Back

By defining variables for the quantities involved and creating equations based on relationships between those quantities.

Front

What is the elimination method for solving systems of equations?

Back

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

Front

What is a linear inequality?

Back

An inequality that involves a linear function, representing a region of the coordinate plane.