M1 Unit 3 Review (Systems of Equations)

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 to solve a system of equations by elimination?

Back

It involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

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 does a solid line represent when graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution set.

Front

What does a dashed line represent when graphing inequalities?

Back

A dashed line indicates that the points on the line are not included in the solution set.

Front

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

Back

Substitute the point's coordinates into both equations; if both equations are true, the point is a solution.

Front

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

Back

The point(s) where the graphs of the equations intersect.

Front

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

Back

Align the equations so that corresponding variables and constants are in the same columns.

Front

What is the purpose of rearranging equations in a system?

Back

To make it easier to eliminate one variable when using the elimination method.

Front

What does it mean if two lines are parallel when graphing a system of equations?

Back

The system has no solution because the lines never intersect.