Unit 5 & 6 Spiral Retake Review

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities that share the same variables. The solution is the set of all points that satisfy all inequalities in the system.

Front

How do you represent a budget constraint in an inequality?

Back

A budget constraint can be represented as an inequality where the total cost must be less than or equal to the budget. For example, if you have a budget of $750 and fixed costs, the inequality would be: Total Cost ≤ Budget.

Front

What does the inequality X > 2 represent graphically?

Back

The inequality X > 2 represents all the points to the right of the vertical line x = 2 on a graph, not including the line itself.

Front

What is the meaning of infinitely many solutions in a system of equations?

Back

Infinitely many solutions occur when two equations represent the same line, meaning every point on the line is a solution to both equations.

Front

How do you find the y-coordinate in a system of equations?

Back

To find the y-coordinate, you can solve the system of equations using substitution or elimination methods to find the intersection point.

Front

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

Back

The slope indicates the steepness of the line and the direction it goes. A positive slope means the line rises, while a negative slope means it falls.

Front

What is a budget inequality?

Back

A budget inequality is an expression that shows the relationship between spending and a budget limit, often in the form of an inequality.

Front

What does it mean for lines to be parallel in a system of equations?

Back

Parallel lines in a system of equations indicate that there is no solution, as the lines never intersect.

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 (above or below the line).

Front

What is the purpose of using variables in inequalities?

Back

Variables in inequalities represent unknown quantities that can change, allowing us to express relationships and constraints mathematically.