Semester 1 Final Review

Front

What is the domain in a function?

Back

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

Front

Given the points (2, 52) and (7, 182), how do you calculate the rate of change?

Back

Rate of change = (change in y) / (change in x) = (182 - 52) / (7 - 2) = 130 / 5 = 26.

Front

What does the inequality 5x + 9y > 45 represent graphically?

Back

It represents the region above the line 5x + 9y = 45 on a graph.

Front

How do you find the solution to a system of equations?

Back

You can use substitution, elimination, or graphing methods to find the point(s) where the equations intersect.

Front

What is the solution to the equation -6(k + 1) = 2(k + 5)?

Back

x = -2.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What does it mean if a system of equations has no solution?

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the rise (change in y) over the run (change in x).

Front

How do you graph a linear inequality?

Back

Graph the corresponding linear equation as a solid line (if ≤ or ≥) or dashed line (if < or >) and shade the appropriate region.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.