Unit 2 Summative Assesment

Front

What is a system of inequalities?

Back

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

Front

How do you interpret the solution (10, 28) in the context of Kate's jewelry sales?

Back

Kate sold 10 bracelets and 28 earrings.

Front

What does the inequality 9x + 25y ≥ 200 represent in Colin's savings problem?

Back

It represents the requirement that Colin must earn at least $200 from his two jobs.

Front

What does the inequality x + y ≤ 16 signify in Colin's work hours problem?

Back

It signifies that Colin can work a maximum of 16 hours in total at both jobs.

Front

What is the significance of the overlap in shaded regions on a graph of inequalities?

Back

The overlap represents the set of solutions that satisfy all inequalities in the system.

Front

What does the inequality x < -1 indicate about the values of x?

Back

It indicates that x can take any value less than -1.

Front

What is the graphical representation of a system of inequalities?

Back

It is represented by shaded regions on a graph, where each region corresponds to a specific inequality.

Front

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

Back

Substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

Front

What is the meaning of the term 'shaded region' in the context of graphing inequalities?

Back

The shaded region represents all the possible solutions that satisfy the inequality.

Front

What does it mean if a point lies outside the shaded region of a graph of inequalities?

Back

It means that the point does not satisfy at least one of the inequalities in the system.