Review: Writing & Solving Systems of Equations

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that can be solved together.

Front

What does it mean if a system of equations has one solution?

Back

The lines representing the equations intersect at exactly one point.

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

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

Back

The lines representing the equations coincide, meaning they are the same line.

Front

How do you represent a linear equation in slope-intercept form?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Front

How do you find the point of intersection of two lines represented by equations?

Back

Solve the system of equations simultaneously to find the values of x and y.

Front

What is the first step in solving a system of equations by substitution?

Back

Solve one of the equations for one variable in terms of the other.

Front

What is the first step in solving a system of equations by elimination?

Back

Align the equations and manipulate them to eliminate one variable.

Front

What does it mean to graph a system of equations?

Back

Plotting the equations on a coordinate plane to visually find the point of intersection.