CUA 4 Test Corrections

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables.

Front

What does it mean for a system of linear equations to have no solution?

Back

It means that the lines represented by the equations are parallel and do not intersect.

Front

How can you determine the number of solutions in a system of linear equations?

Back

By analyzing the slopes and intercepts of the lines represented by the equations.

Front

What is the graphical representation of the solution to a system of linear equations?

Back

The point where the lines intersect on a graph.

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

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

Back

By solving the equations simultaneously to find the value of x.

Front

What is the significance of the coefficients in a system of linear equations?

Back

They determine the slope and position of the lines represented by the equations.

Front

What is a word problem in the context of systems of equations?

Back

A real-world scenario that can be modeled using a system of linear equations.

Front

How do you set up a system of equations from a word problem?

Back

Identify the variables, write equations based on the relationships described, and ensure they represent the same situation.