Algebra 1 Unit 3 Review

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

How can you determine if a table represents a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables that are solved together.

Front

What does the notation y ≥ mx + b represent?

Back

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

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation and simplify.

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 system of equations to be consistent?

Back

A system of equations is consistent if there is at least one solution that satisfies all equations in the system.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation represents a straight line, while a linear inequality represents a region of the graph that satisfies the inequality.

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.

Front

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

Back

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