PART 1 8th Grade Unit 5 Assessment

Front

What is a solution to a system of equations?

Back

A solution to a system of equations is a set of values for the variables that makes all equations true simultaneously.

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the x and y values of the point into each equation. If both equations are satisfied, the point is a solution.

Front

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

Back

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

Front

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

Back

It means that the equations represent the same line, and there are countless points that satisfy both equations.

Front

What is the graphical representation of a system of equations with one solution?

Back

Two lines that intersect at exactly one point.

Front

What is the graphical representation of a system of equations with no solution?

Back

Two parallel lines that never intersect.

Front

What is the graphical representation of a system of equations with infinitely many solutions?

Back

Two lines that lie on top of each other, representing the same line.

Front

How can you tell if a system of equations has one solution?

Back

If the lines intersect at a single point, the system has one 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 variable.

Front

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

Back

Align the equations and manipulate them to eliminate one variable by addition or subtraction.