Corrections - Systems of Equations and Inequalities Test

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you solve a system of equations using substitution?

Back

To solve using substitution, solve one equation for one variable, then substitute that expression into the other equation.

Front

What is the graphical representation of a system of equations?

Back

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

Front

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

Back

It means the lines are parallel and never intersect.

Front

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

Back

It means the equations represent the same line, so every point on the line is a solution.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing 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 equation as a line, then shade the region that satisfies the inequality.

Front

What is the difference between '>' and '≥' in inequalities?

Back

'>' means greater than (not including), while '≥' means greater than or equal to (including the boundary).

Front

What is the purpose of using a test point in graphing inequalities?

Back

A test point helps determine which side of the boundary line to shade when graphing an inequality.

Front

How do you determine the cost of items using a system of equations?

Back

Set up equations based on the total cost for different combinations of items, then solve the system to find the cost of each item.