Systems of Equations and Inequalities Review

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 point to be a solution to a system of equations?

Back

It means that the point satisfies all equations in the system.

Front

What is the graphical representation of a system of equations?

Back

The intersection point(s) of the graphs of the equations.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution (≤ or ≥), while a dashed line indicates they are not included (< or >).

Front

How do you determine if an ordered pair is a solution to a system of equations?

Back

Substitute the ordered pair into each equation; if it satisfies all equations, it is a solution.

Front

What is an inequality?

Back

A mathematical statement that compares two expressions, showing that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

What does the symbol '≤' represent?

Back

It means 'less than or equal to'.

Front

What does the symbol '≥' represent?

Back

It means 'greater than or equal to'.

Front

How do you graph the inequality y < 2x + 3?

Back

Graph the line y = 2x + 3 as a dashed line and shade below it.

Front

What is the solution to the system of equations 2x + 3y = 6 and x - y = 1?

Back

(3, 0) is the solution.