Algebra: Systems Formative Assessment

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 two lines intersect in a system of equations?

Back

It means that there is one unique solution to the system, represented by the point of intersection.

Front

What is the graphical representation of parallel lines in a system of equations?

Back

Parallel lines never intersect and have no solutions.

Front

What is the solution to the system of equations: y = 3x - 8 and y = 4 - x?

Back

(3, 1)

Front

How do you represent a situation with two variables using a system of equations?

Back

By creating equations that relate the variables based on the given conditions.

Front

What is the solution to the system of equations: x + 2y = -3 and x - y = -12?

Back

(-9, 3)

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The equations represent the same line, meaning every point on the line is a solution.

Front

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

Back

Solve one of the equations for one variable in terms of the other.

Front

What is the solution to the system of equations: 3x + 2y = 16 and 7x + y = 19?

Back

(2, 5)

Front

What is the elimination method in solving systems of equations?

Back

A method where you add or subtract equations to eliminate one variable.