EA #2 Review (Solving Systems)

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 set of values that satisfy all equations in the system.

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 equations represent parallel lines that never intersect.

Front

What is the graphical representation of a system of inequalities?

Back

The graphical representation of a system of inequalities shows a shaded region that satisfies all inequalities, often bounded by lines.

Front

How do you represent a linear inequality graphically?

Back

A linear inequality is represented graphically by a line (solid for ≤ or ≥, dashed for < or >) and a shaded region indicating the solution set.

Front

What is the meaning of the slope in a linear equation?

Back

The slope of a linear equation indicates the steepness of the line and the direction of the relationship between the variables.

Front

How do you find the cost of one item using a system of equations?

Back

Set up equations based on the total cost and quantity of items, then solve the system to find the cost of one item.

Front

What is the relationship between the number of animals and their legs in a problem involving animals?

Back

In problems involving animals, the total number of legs can be expressed as a linear equation based on the number of each type of animal.

Front

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

Back

The feasible region is the area on a graph that satisfies all constraints of a linear programming problem.

Front

What is the significance of the intersection point in a system of equations?

Back

The intersection point of a system of equations represents the solution where both equations are satisfied simultaneously.

Front

How can you determine if a system of inequalities is bounded or unbounded?

Back

A system of inequalities is bounded if the feasible region is enclosed; it is unbounded if the region extends infinitely in one or more directions.