Test: Systems of Equations and Inequalities

Front

What are the solutions to a system of equations represented by?

Back

The solutions to a system of equations are represented by the points where the graphs of the equations intersect.

Front

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

Back

If a system of equations has no solution, it means that the graphs of the equations are parallel and never intersect.

Front

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

Back

If a system of equations has infinitely many solutions, it means that the equations represent the same line, or coinciding lines.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

How can you determine if a point is a solution to a system of equations?

Back

A point is a solution to a system of equations if it satisfies all equations in the system.

Front

What is the graphical representation of a linear equation?

Back

The graphical representation of a linear equation is a straight line on a coordinate plane.

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 the term 'inequality' mean in mathematics?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a solid line (for ≤ or ≥) or dashed line (for < or >), then shade the appropriate region.