Chapter 6 Test Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. Solutions are the points where the equations intersect.

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

What is the elimination method in solving systems of equations?

Back

A method where you add or subtract equations to eliminate one variable, making it easier to solve for the other.

Front

What is the substitution method in solving systems of equations?

Back

A method where you solve one equation for one variable and substitute that expression into the other equation.

Front

What does it mean if two lines are perpendicular?

Back

They intersect at a right angle (90 degrees). The slopes of perpendicular lines are negative reciprocals.

Front

What is the graphical representation of intersecting lines?

Back

The lines cross at one point, which represents the unique solution to the system of equations.

Front

How do you determine the solution of a system of equations graphically?

Back

The solution is the point where the graphs of the equations intersect.

Front

What is the slope-intercept form of a linear equation?

Back

Front

Back

(3, 0)

Front

Solve the system of equations: 2x + 3y = 8, -2x - 4y = 12

Back

Use elimination method.