Exploring Advanced Math Vocabulary: Adding and Subtracting Rational Expressions

What are the three types of systems mentioned in the video?

• Independent, Dependent, Inconsistent

• Consistent, Inconsistent, Dependent

• Linear, Non-linear, Quadratic

• Parallel, Perpendicular, Intersecting

In an independent system, how many points do the lines intersect at?

• Infinitely many points

• One point

• Zero points

• Two points

What does the graph of an independent system look like?

• Two lines that never touch

• Two lines that overlap completely

• Two lines that intersect at one point

• Two lines that are parallel

In a dependent system, how many intersection points are there?

• Zero points

• Two points

• One point

• Infinitely many points

What is a characteristic of the equations in a dependent system when solved algebraically?

• The variables drop out and the answer makes sense

• The variables remain and the answer is unique

• The equations have no solution

• The equations are inconsistent

What does the graph of a dependent system look like?

• Two lines that are parallel

• Two lines that intersect at one point

• Two lines that overlap completely

• Two lines that never touch

In an inconsistent system, how many intersection points are there?

• Infinitely many points

• One point

• Zero points

• Two points

What is a characteristic of the equations in an inconsistent system when solved algebraically?

• The variables remain and the answer is unique

• The variables drop out and the answer makes sense

• The equations have no solution

• The equations are dependent

What does the graph of an inconsistent system look like?

• Two lines that are parallel

• Two lines that intersect at one point

• Two lines that overlap completely

• Two lines that intersect at multiple points

Which of the following is an example of an inconsistent system's algebraic solution?

• Negative 5 = Negative 5

• 0 = 0

• 13 = 13

• 0 = 3