12/11/24 Exit Ticket - Systems of Equations (Elimination)

Front

What is a system of equations?

Back

A system of equations is two or more equations whose variables have the same value and show an intersection on the graph.

Front

Solve the system: 4x + 8y = 20 and -4x + 2y = -30. What is the solution?

Back

(7,-1)

Front

Which variable will be eliminated in the system: 4x + 8y = 20 and -4x + 2y = -30?

Back

The x

Front

What is the elimination method?

Back

The elimination method is a technique for solving systems of equations by removing one variable, allowing you to solve for the other.

Front

If you have the equations 2x + 3y = 6 and 4x + 6y = 12, what can you say about this system?

Back

The system has infinitely many solutions because the second equation is a multiple of the first.

Front

What does it mean if two lines intersect at a point on a graph?

Back

It means that the system of equations has a unique solution at that point.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation consists of lines on a coordinate plane, where each line represents an equation.

Front

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

Back

A system has no solution if the lines are parallel and never intersect.

Front

What is the first step in the elimination method?

Back

The first step is to align the equations so that the coefficients of one variable are opposites.

Front

Solve the system: 3x + 2y = 12 and 6x + 4y = 24. What is the solution?

Back

The system has infinitely many solutions.