Alg Supp Unit 1 Study Guide

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function f(x) at a specific point x = a, substitute a into the function: f(a).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, typically in the form y = mx + b.

Front

What is profit in a business context?

Back

Profit is the difference between the revenue generated from sales and the costs incurred in producing those goods or services.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, where q is not zero.

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, representing the value of y when x = 0.

Front

How do you find the slope of a line given two points?

Back

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

Front

What is the formula for the area of a rectangle?

Back

The area A of a rectangle is calculated using the formula A = length × width.