Chapter 5 Review Algebra

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 solution to a system of equations?

Back

A solution is an ordered pair (x, y) that satisfies all equations in the system.

Front

How do you graph a linear equation?

Back

To graph a linear equation, find at least two points that satisfy the equation and connect them with a straight line.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

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

Front

What does it mean for a system of equations to be consistent?

Back

A consistent system has at least one solution.

Front

What does it mean for a system of equations to be inconsistent?

Back

An inconsistent system has no solutions.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation is the intersection point(s) of the lines representing the equations.

Front

What is a linear inequality?

Back

A linear inequality is similar to a linear equation but uses inequality signs (>, <, ≥, ≤) instead of an equal sign.

Front

How do you solve a system of linear inequalities?

Back

To solve a system of linear inequalities, graph each inequality and find the region where the shaded areas overlap.