Algebra 1 Unit 3 Review

Front

What is the domain of a relation?

Back

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

Front

What is the range of a relation?

Back

The range of a relation is the set of all possible output values (y-values) that result from the input values in the domain.

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input value (x) corresponds to exactly one output value (y). If any input has multiple outputs, it is not a function.

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.

Front

How do you find g(9) for the function g(x) = 4x - 7?

Back

Substitute 9 for x: g(9) = 4(9) - 7 = 36 - 7 = 29.

Front

What does the notation y ≥ mx + b represent?

Back

This notation represents a linear inequality where y is greater than or equal to the line defined by the equation y = mx + b.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for a graph to have a range of -3 ≤ y < 1?

Back

This means that the y-values of the graph can be any value from -3 to just below 1, including -3 but not including 1.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a coordinate plane.