Midterm Review Unit 2 Algebra 2

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

Is the relation {(11, 5), (11, 8)} a function?

Back

No, because the x-value 11 is paired with two different y-values (5 and 8).

Front

What is the standard form of a linear inequality?

Back

The standard form of a linear inequality is Ax + By ≤ C or Ax + By ≥ C, where A, B, and C are constants.

Front

What does the domain of a function represent?

Back

The domain of a function represents all possible input values (x-values) for which the function is defined.

Front

What is the domain of the function f(x) = 1/(x-3)?

Back

The domain is all real numbers except x = 3.

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 solution to the system of inequalities y ≤ 2x - 1 and y > -2x + 3?

Back

The solution is the region where both inequalities overlap on a graph.

Front

How do you write a linear inequality from a word problem?

Back

Identify the variables, determine the relationship, and express it in the form Ax + By ≥ C or Ax + By ≤ C.

Front

What is the meaning of the inequality x + 2y ≥ 240?

Back

It means that the total revenue from selling x glasses of hot chocolate and y glasses of apple cider must be at least $240.

Front

What is a linear inequality?

Back

A linear inequality is an inequality that involves a linear expression, such as Ax + By < C.