Unit 2 Test Review - Algebra 1

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line, and is calculated as the change in y divided by the change in x (rise/run).

Front

How do you find the slope from the equation of a line in slope-intercept form?

Back

In the slope-intercept form, y = mx + b, 'm' represents the slope of the line.

Front

What does the equation D=280-59t represent in the context of distance and time?

Back

In the equation D=280-59t, 'D' represents the distance from Buffalo after 't' hours, and '59' represents the speed of the car in miles per hour.

Front

What is the inverse of the function f(x) = 2x - 8?

Back

The inverse function is f^{-1}(x) = \frac{x + 8}{2}.

Front

How do you determine the y-intercept from the equation of a line?

Back

The y-intercept can be found in the slope-intercept form y = mx + b, where 'b' is the y-intercept.

Front

What transformation does the equation f(x) = -f(2x) - 4 represent?

Back

This equation represents a horizontal stretch by a factor of 2, a reflection over the x-axis, and a downward shift of 4 units.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The slope 'm' is calculated using the formula m = \frac{y2 - y1}{x2 - x1}.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed in distance-time problems or cost per item in economics.

Front

How do you graph a linear equation in slope-intercept form?

Back

To graph a linear equation in slope-intercept form, identify the y-intercept (b) on the y-axis, then use the slope (m) to find another point.