Unit 5 Test Review- Systems of Equations- Algebra 1

Front

What is a system of equations?

Back

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

Front

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

Back

It means that the equations represent the same line, and any point on that line is a solution.

Front

How do you determine if a system of equations has no solution?

Back

If the equations represent parallel lines, they will never intersect, indicating no solution.

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 does it mean for two equations to be dependent?

Back

Dependent equations are those that represent the same line, resulting in an infinite number of solutions.

Front

What does it mean for two equations to be independent?

Back

Independent equations are those that represent different lines, resulting in exactly one solution.

Front

How can you graphically represent a system of equations?

Back

By plotting each equation on the same coordinate plane and identifying the point(s) where they intersect.

Front

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

Back

The point where the graphs of the equations meet, representing the solution to the system.

Front

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

Back

Isolate one variable in one of the equations.