Solving Systems Review

Front

This system has _____ solutions

Back

0

Front

In Algebra, a group of two or more equations is called a ___________.

Back

system

Front

What does it mean to "solve a system"?

Back

Find the point that satisfies all of the equations.

Front

Betsy's hourly wage is $12 and she gets a $0.10 raise every month. Joel's hourly wage is $10 and he gets a $0.20 raise every month. How many months until Joel's wage catches Betsy's?

Back

20 months

Front

When both lines in a system are identical, the system has __________________.

Back

infinite solutions

Front

What is a solution to a system of equations?

Back

A point that satisfies all equations in the system.

Front

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

Back

The lines are parallel and never intersect.

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines representing the equations.

Front

What is the difference between consistent and inconsistent systems?

Back

Consistent systems have at least one solution; inconsistent systems have no solutions.

Front

What does it mean if a system has exactly one solution?

Back

The lines intersect at a single point.