Test Review Unit 9

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 to find the values of both variables.

Front

How do you determine if a system of equations has no solution?

Back

A system has no solution if the lines represented by the equations are parallel, meaning they have the same slope but different y-intercepts.

Front

What does it mean if a system of equations has infinite solutions?

Back

A system has infinite solutions if the equations represent the same line, meaning every point on the line is a solution.

Front

What is an ordered pair in the context of a coordinate system?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a coordinate plane, where 'x' is the horizontal position and 'y' is the vertical position.

Front

How do you graph a linear equation?

Back

To graph a linear equation, you can find two or more points that satisfy the equation and then draw a straight line through those points.

Front

What is the significance of the intersection point of two lines in a graph?

Back

The intersection point of two lines represents the solution to the system of equations, indicating the values of the variables that satisfy both equations.

Front

How can you check if your solution to a system of equations is correct?

Back

You can check your solution by substituting the values back into the original equations to see if both equations are satisfied.

Front

What is the first step in using the substitution method?

Back

The first step is to solve one of the equations for one variable in terms of the other variable.

Front

What does it mean for a system of equations to have one solution?

Back

A system has one solution if the lines intersect at exactly one point, indicating a unique solution for the variables.

Front

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

Back