Alg 2 - Rev #3 - Solving Systems and Parent Graphs

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

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

Back

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

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is a parent graph?

Back

The simplest form of a graph of a function, which serves as a template for more complex graphs.

Front

What is the parent graph of a linear function?

Back

Front

How do you find the solution to a system of equations graphically?

Back

By plotting both equations on the same graph and identifying the point(s) where they intersect.

Front

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

Back

It means the lines represented by the equations are parallel and never intersect.

Front

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

Back

It means the equations represent the same line, so every point on the line is a solution.

Front

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

Back

Front

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

Back

Rearrange the equation to solve for y, isolating it on one side.