Unit 4 Final Review

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 graphically?

Back

It means to find the point(s) where the graphs of the equations intersect, representing the solution(s) to the system.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a coordinate plane.

Front

What does 'NS' stand for in the context of systems of equations?

Back

'NS' stands for 'No Solution', indicating that the equations do not intersect.

Front

What does 'IMS' stand for in the context of systems of equations?

Back

'IMS' stands for 'Infinitely Many Solutions', indicating that the equations represent the same line.

Front

How do you determine if a system of equations has one solution?

Back

If the lines represented by the equations intersect at exactly one point, the system has one solution.

Front

What is the best method to solve a system of equations?

Back

The best method can vary; common methods include graphing, substitution, and elimination.

Front

What is the substitution method?

Back

A method for solving a system of equations by solving one equation for one variable and substituting that expression into the other equation.

Front

What is the elimination method?

Back

A method for solving a system of equations by adding or subtracting equations to eliminate one variable.

Front

How can you check your solution to a system of equations?

Back

Substitute the values of the ordered pair into both original equations to see if they hold true.