Unit 5 Test Review- Systems of Equations- Algebra 1

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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 on a graph.

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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.

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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.

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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 remaining variable.

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What is a consistent system of equations?

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A consistent system of equations has at least one solution, meaning the lines represented by the equations intersect at one or more points.

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What is an inconsistent system of equations?

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An inconsistent system of equations has no solutions, meaning the lines represented by the equations are parallel and never intersect.

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What is a dependent system of equations?

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A dependent system of equations has infinitely many solutions, meaning the equations represent the same line.

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How do you graph a system of equations?

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To graph a system of equations, plot each equation on the same coordinate plane and identify the point(s) where they intersect.

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

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The point of intersection represents the solution to the system, indicating the values of the variables that satisfy all equations.

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What is a linear inequality?

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A linear inequality is an inequality that involves a linear expression, often represented graphically as a region on a coordinate plane.