EOC Systems Review

Front

What is a system of equations?

Back

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

Front

What does it mean to solve a system of equations by substitution?

Back

It means to solve one equation for one variable and then substitute that expression into the other equation.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, written as (x, y).

Front

What is a solution to a system of inequalities?

Back

A solution is a set of values that satisfies all inequalities in the system.

Front

What is a linear inequality?

Back

An inequality that can be written in the form ax + by < c, ax + by > c, ax + by ≤ c, or ax + by ≥ c.

Front

How do you graph a linear inequality?

Back

Graph the corresponding linear equation as a boundary line, then shade the region that satisfies the inequality.

Front

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

Back

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

Front

What does it mean for a point to be a solution to a system of inequalities?

Back

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

Front

What is the substitution method in solving equations?

Back

The substitution method involves solving one equation for one variable and substituting that value into another equation.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation is where the lines of the equations intersect, showing the solution to the system.