Unit 5 Test Study Guide (Systems and Linear Inequalities)

Front

What is a system of equations?

Back

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

Front

What does it mean for a system of equations to have a unique solution?

Back

It means there is exactly one set of values for the variables that satisfies all equations in the system.

Front

What is the graphical representation of a system of linear equations?

Back

The solution is represented by the point where the lines intersect on a graph.

Front

What is an inconsistent system of equations?

Back

A system that has no solution because the lines are parallel and never intersect.

Front

What is a dependent system of equations?

Back

A system that has infinitely many solutions because the equations represent the same line.

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable and substitute that expression into the other equation.

Front

How do you solve a system of equations using elimination?

Back

Add or subtract the equations to eliminate one variable, making it easier to solve for the other.

Front

What is a linear inequality?

Back

An inequality that involves a linear expression, representing a region of the coordinate plane.

Front

How do you graph a linear inequality?

Back

Graph the corresponding linear equation as a boundary line, then shade the appropriate region based on the inequality.

Front

What does it mean to find the solution to a linear inequality?

Back

It means to determine the set of all points that satisfy the inequality.