Review for Solving Systems by Graphing and Substitution

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean to solve a system of equations by graphing?

Back

It means to find the point(s) where the graphs of the equations intersect.

Front

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

Back

Front

How do you find the y-intercept of an equation?

Back

Front

What does it mean if two lines are parallel?

Back

It means they have the same slope and will never intersect, resulting in no solutions.

Front

What is the substitution method in solving systems of equations?

Back

It involves solving one equation for one variable and substituting that expression into the other equation.

Front

What does it mean if two lines are identical?

Back

It means they represent the same equation, resulting in infinite solutions.

Front

How do you convert an equation from standard form to slope-intercept form?

Back

Front

What is the elimination method in solving systems of equations?

Back

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

Front

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

Back

It represents the solution to the system, where both equations are satisfied.