Algebra 2 Assessment Solve Systems of Equations

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 elimination?

Back

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

Front

What is the substitution method in solving systems of equations?

Back

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

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

Back

It means the lines represented by the equations are parallel and never intersect.

Front

What is the graphical interpretation of a system of equations?

Back

The solutions are the points where the graphs of the equations intersect.

Front

How do you determine if a system of equations has infinitely many solutions?

Back

If the equations represent the same line, they have infinitely many solutions.

Front

What is the first step in solving a system of equations by elimination?

Back

Align the equations so that corresponding variables and constants are in the same columns.

Front

What is the purpose of multiplying an equation in a system before elimination?

Back

To create coefficients that will allow one variable to be eliminated when the equations are added or subtracted.

Front

How can you check your solution to a system of equations?

Back

Substitute the solution back into the original equations to see if both equations are satisfied.

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What is a consistent system of equations?

Back

A system that has at least one solution.