Linear Functions Unit Test Review

A sequence is defined recursively by the formula f(n + 1) = -2f(n). The first term of the sequence is -1.5. What is the next term in the sequence?

3

Which equation represents the graphed function?

y = 1/4x - 2

To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?

-2/5

The table represents a linear function. What is the slope of the function?

5

A sequence is defined by the recursive function f(n + 1) = f(n) - 2. If f(1) = 10, what is f(3)?

6

Which table represents a linear function?

A - (1, 3)

Which table represents a linear function?

C - (1, -2)

Timmy writes the equation f(x) = 1/4x - 1. He then doubles both of the terms on the right side to create the equation g(x) = 1/2x - 2. How does the graph of g(x) compare to the graph of f(x)?

The line of g(x) is steeper and has a lower y-intercept.

Mrs. Jackson gives the table below to her students. In order for the function to be linear, what must m be and why?

m = 20 because the rate of change is -3.

Raphael graphed the functions g(x) = x + 2 and f(x) = x - 1. How many units below the y-intercept of g(x) is the y-intercept of f(x)? The y-intercept of f(x) is _____ units below the y-intercept of g(x).

3

A sequence is defined recursively using the formula f(n + 1) = f(n) - 5 . Which sequence could be generated using this formula?

3, -2, -7, -12, ...

At a glance, Kendra believes that the function represented on the graph is linear. How can Kendra determine if the function is actually linear?

She can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.

Which best describes the relationship between the successive terms in the sequence shown? 9, -1, -11, -21, ...

The common difference is -10.

How does the slope of g(x) compare to the slope of f(x)?

The slope of g(x) is less than the slope of f(x).

Tracie rides the bus home from school each day. The graph represents her distance from home relative to the number of minutes since the bus left the school. What does the slope of the graph mean?

Tracie's bus travels towards her home at an average speed of 1/2 mile per minute.