AnswersTX-Pre-CalculusUnit Test

Unit Test — Unit test Answers

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Marquis begins a job making $53,000 per year. Each year, he is to receive a $1,600 raise. His salary after n years can be modeled by this equation: . After 25 years, how much total money will Marquis have earned from this job?

Question illustration
A
$1,792,000
B
$1,805,000
C
$1,844,975
D
$1,845,000
2
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In the month of January, a certain restaurant claimed it sold 9,000 burgers and expects sales to grow at a rate of 4.8% per month over the next year. Which formula will determine the number of burgers the restaurant expects to sell this year?

A
mc023-1.jpg
Option A
B
mc023-2.jpg
Option B
C
mc023-3.jpg
Option C
D
mc023-4.jpg
Option D
3

A karate studio charges $35 for the first course and $22.50 for each course after that, even if the student leaves the course early. Cena paid $170 for her son to take courses. How many courses did he take?

A
6 courses
B
7 courses
C
8 courses
D
10 courses
4

Which summation formula is equivalent to the one below?

Question illustration
A
mc012-2.jpg
Option A
B
mc012-3.jpg
Option B
C
mc012-4.jpg
Option C
D
mc012-5.jpg
Option D
5

Which of the following is true regarding the sequence below?

Question illustration
A
The sequence is arithmetic because there is a common difference of .
Option A
B
The sequence is arithmetic because there is a common difference of 1.
C
The sequence is not arithmetic because there is no common difference between the values of n.
D
The sequence is not arithmetic because there is no common difference between the values of an.
6

What is the sum of the series ?

Question illustration
A
1,830
B
2,010
C
5,400
D
5,490
7

The first three terms of a geometric sequence are shown below.What is the eighth term of the sequence?

Question illustration
A
mc025-2.jpg
Option A
B
mc025-3.jpg
Option B
C
mc025-4.jpg
Option C
D
mc025-5.jpg
Option D
8

What are the first three terms of a geometric sequence in which and the common ratio is 5?

Question illustration
A
mc023-2.jpg
Option A
B
mc023-3.jpg
Option B
C
mc023-4.jpg
Option C
D
125, 25, 5
9

A teacher gave his students the four graphs below. Which graph represents a geometric sequence?Graph AGraph BGraph CGraph D

Question illustration
A
graph A
B
graph B
C
graph C
D
graph D
10

Vince wrote the sequence below.Which of the following explains whether the sequence is geometric?

Question illustration
A
The sequence is geometric because was added to each term to get the next term.
Option A
B
The sequence is geometric because was multiplied to each term to get the next term.
Option B
C
The sequence is not geometric because was added to each term to get the next term.
Option C
D
The sequence is not geometric because 3 was multiplied to each term to get the next term.
11

Which summation formula represents the series below?13 + 9 + 5 + 1

A
mc008-1.jpg
Option A
B
mc008-2.jpg
Option B
C
mc008-3.jpg
Option C
D
mc008-4.jpg
Option D
12

The relationship between women’s whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of n. A women’s size 7 fits a foot inches long, and a women’s size 12 fits a foot 11 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

A ball is dropped from a height of 5 ft and bounces to 60% of its previous height on each subsequent bounce. Which statement is true regarding the vertical distance the ball has traveled when it hits the ground for the fourth time?

A
One should use , which results in 10.88 ft for the vertical distance traveled.
Option A
B
One should use , which results in16.76 ft for the vertical distance traveled.
Option B
C
One should use , which results in 18.06 ft for the vertical distance traveled. .
Option C
D
One should use , which results in 21.76 ft for the vertical distance traveled.
Option D
14

Which of the following is an arithmetic sequence?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

Which of the following is equivalent to ?

Question illustration
A
mc025-2.jpg
Option A
B
mc025-3.jpg
Option B
C
mc025-4.jpg
Option C
D
mc025-5.jpg
Option D
16

Which summation formula represents the series below?5 + 7 + 9 + 11

A
mc007-1.jpg
Option A
B
mc007-2.jpg
Option B
C
mc007-3.jpg
Option C
D
mc007-4.jpg
Option D
17

What is the common ratio of the geometric sequence below?–2, 4, –8, 16, –32, ...

A
mc001-1.jpg
Option A
B
mc001-2.jpg
Option B
C
mc001-3.jpg
Option C
D
mc001-4.jpg
Option D
18

Which is true regarding the sequence below?

Question illustration
A
The sequence is arithmetic because the common difference is .
Option A
B
The sequence is arithmetic because the common difference is .
Option B
C
The sequence is not arithmetic because there is no common difference. The differences are .
Option C
D
The sequence is not arithmetic because there is no common difference. The differences are .
Option D
19

What is the common difference in the following arithmetic sequence? nan1–122–1310421

A
–11
B
–1
C
1
D
11
20

What is the difference between and ?

Question illustration
A
0
B
3
C
4
D
7

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