Unit 5 Systems of Equations Review

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?

Back

Finding the values of the variables that satisfy all equations in the system.

Front

What is the graphical representation of a system of equations?

Back

The point(s) where the graphs of the equations intersect.

Front

What is the elimination method?

Back

A method for solving systems of equations by adding or subtracting equations to eliminate a variable.

Front

What is the substitution method?

Back

A method for solving systems of equations by solving one equation for one variable and substituting that expression into the other equation.

Front

What are parallel lines?

Back

Lines in a plane that never intersect and have the same slope.

Front

What are intersecting lines?

Back

Lines that cross at one point, representing a unique solution to a system of equations.

Front

What are coincident lines?

Back

Lines that lie on top of each other, representing infinitely many solutions to a system of equations.

Front

What is the slope of a line?

Back

The ratio of the rise (change in y) to the run (change in x) between two points on the line.

Front

How do you find the y-intercept of a line?

Back

Set x = 0 in the equation of the line and solve for y.