Algebra 2 Systems of Equations

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 to solve a system of equations graphically?

Back

It means to find the point(s) where the graphs of the equations intersect, which represents the solution(s) to the system.

Front

What is the solution to a system of equations?

Back

The values of the variables that satisfy all equations in the system.

Front

What is the difference between a solid line and a dashed line when 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

How do you represent an inequality graphically?

Back

By shading the region of the graph that satisfies the inequality.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the term 'feasible region' refer to in linear programming?

Back

The area on a graph that represents all possible solutions to a system of inequalities.

Front

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

Back

By substituting the point's coordinates into each equation and checking if they hold true.

Front

What is the substitution method for solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is the elimination method for solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.