Unit 1 Pre-Assessment - Algebra: Concepts & Connection

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

How do you represent an arithmetic sequence mathematically?

Back

An arithmetic sequence can be represented by the formula a_n = a_1 + (n - 1)d, where a_n is the nth term, a_1 is the first term, n is the term number, and d is the common difference.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the amount added to each term to get to the next term in the sequence.

Front

If Kara saves $30 each week starting with $50, what is the formula for her savings after n weeks?

Back

a_n = 50 + 30(n - 1) or a_n = 30n + 20.

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 a reasonable domain for Sasha's T-shirt sales?

Back

The reasonable domain is all whole numbers, as she cannot sell a negative number of T-shirts.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input values increase, the output values decrease.

Front

In the context of Tim's truck, what does the function f(x) represent?

Back

f(x) represents the remaining gallons of fuel in the truck after driving for x hours.

Front

What is the end behavior of a function?

Back

The end behavior of a function describes how the function behaves as the input values approach positive or negative infinity.

Front

What does the notation x → ∞, f(x) → 0 mean?

Back

It means that as x increases without bound, the value of the function f(x) approaches 0.