Ch 6 Systems Practice Test

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

Front

TRUE or FALSE: You can use either an isolated x or an isolated y to substitute in the first step when using the substitution method.

Back

TRUE; can use x = 11 - y or y = 11 - x.

Front

What does it mean if a system of equations has one point of intersection?

Back

It means the system has a unique solution, represented by the coordinates of the intersection point.

Front

What type of solution does the system x + y = 11 and 3x + 4y = 18 have?

Back

One point of intersection at (3, -3).

Front

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

Back

It indicates that the lines representing the equations are parallel and will never intersect.

Front

What are the three main methods to solve systems of equations?

Back

Graphing, Substitution, Elimination.

Front

What is the significance of a solid line in 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 in 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 system of inequalities has infinite solutions?

Back

If the overlapping region of the inequalities covers an area without boundaries, it indicates infinite solutions.

Front

What is the solution to the system of equations if the lines are parallel?

Back

No solution.