Solving Systems Using Elimination and Graphing Practice

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, typically written as (x, y).

Front

What does the x-coordinate represent in an ordered pair?

Back

The x-coordinate represents the horizontal position of a point on the Cartesian plane.

Front

What does the y-coordinate represent in an ordered pair?

Back

The y-coordinate represents the vertical position of a point on the Cartesian plane.

Front

In which quadrant is the point (3, -2) located?

Back

Quadrant IV.

Front

What is the solution to the system of equations 2x + 3y = 6 and 4x - y = 5 using elimination?

Back

(2, 0).

Front

How do you determine the quadrant of a point with negative x and positive y coordinates?

Back

The point is located in Quadrant II.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

What is the solution to the system of equations 3x + 4y = 12 and 6x + 8y = 24?

Back

No solution (the equations are dependent).

Front

What is the graphical representation of the equation y = 2x + 1?

Back

A straight line with a slope of 2 and a y-intercept of 1.

Front

What does it mean if two lines intersect at a point on a graph?

Back

It means that the system of equations has a unique solution at that point.