Review CP4

Front

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.

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How do you find the x-value in a system of equations?

Back

To find the x-value, you can use substitution or elimination methods to solve for x after expressing one variable in terms of the other.

Front

What does the graph of a linear equation represent?

Back

The graph of a linear equation represents all the solutions to that equation, showing the relationship between the variables.

Front

What is the significance of the y-coordinate in a solution to a system of equations?

Back

The y-coordinate represents the value of the dependent variable when the equations intersect, indicating the solution to the system.

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Back

Front

What is the purpose of graphing a system of equations?

Back

Graphing helps visualize the solutions of the system, showing where the lines intersect, which indicates the solution to the system.

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What does the term 'solution set' mean in the context of inequalities?

Back

The solution set is the collection of all points that satisfy the inequality, often represented as a shaded region on a graph.

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

Back

Substitute the point's coordinates into each equation. If the equations hold true, the point is a solution.

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What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality (e.g., <, >) does not include the boundary, while a non-strict inequality (e.g., ≤, ≥) includes the boundary.

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What does the term 'dependent variable' refer to in a system of equations?

Back

The dependent variable is the variable that depends on the value of the independent variable, often represented as y in equations.