Solving with Substitution - Practice

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 the variables.

Front

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

Back

A system of equations has no solution when the lines represented by the equations are parallel and do not intersect.

Front

What does it mean when a system of equations has 'infinitely many solutions'?

Back

A system of equations has infinitely many solutions when the equations represent the same line, meaning every point on the line is a solution.

Front

How do you determine if two equations are equivalent?

Back

Two equations are equivalent if they represent the same line in a graph, meaning they have the same slope and y-intercept.

Front

What is the first step in using substitution to solve a system of equations?

Back

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

Front

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

Back

To check the solution, substitute the values of the variables back into the original equations to see if they satisfy both equations.

Front

What is the significance of the point of intersection in a system of equations?

Back

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

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you identify parallel lines from their equations?

Back

Parallel lines have the same slope but different y-intercepts in their equations.