Adv. Algebra Midterm Review

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

How do you evaluate a function?

Back

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

Front

What does it mean to solve an absolute value equation?

Back

To solve an absolute value equation, set up two separate equations: one for the positive value and one for the negative value.

Front

What is the slope-intercept form of a line?

Back

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

Front

How do you find the slope between two points?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does it mean for a system of equations to have infinite solutions?

Back

A system of equations has infinite solutions when the equations represent the same line, meaning they overlap completely.

Front

What is the process for solving inequalities?

Back

To solve inequalities, isolate the variable on one side, and remember to reverse the inequality sign when multiplying or dividing by a negative number.

Front

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

Back

A linear equation graphs as a straight line, while a nonlinear equation graphs as a curve.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the slope-intercept form.

Front

How do you graph a linear equation?

Back

To graph a linear equation, find the y-intercept, use the slope to find another point, and draw a line through the points.