Nine Weeks Exam Review (Topics 1 - 4.3)

Front

What is the equation for the total cost (C) of towing a vehicle for m miles if the service center charges a flat fee of $50 plus $8 per mile?

Back

C = 8m + 50

Front

What is the slope of a line that is perpendicular to the line represented by the equation y = 3x - 12?

Back

The slope of the perpendicular line is -1/3.

Front

What does the equation y = -25x + 120 represent in a real-world context?

Back

It represents a tank with 120 gallons of water releasing water at a rate of 25 gallons per minute.

Front

What do you need to multiply the equation 3x + 2y = 6 by to eliminate the x variable?

Back

-3

Front

What transformation occurs from the graph of f(x) = 2^x to g(x) = 2^x + 4?

Back

The graph is shifted up four units.

Front

Define a linear equation.

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What is the meaning of the slope in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

What is the significance of the y-intercept in a real-world context?

Back

It represents the starting value of y when x is zero.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.