AP Precalculus Practice Exam 1

AP Precalculus Practice Exam 1

AP Precalculus Practice Exam 1 offers a comprehensive set of problems designed to prepare students for the AP Precalculus exam. This practice exam includes a variety of question types, covering essential topics such as functions, trigonometry, and polynomial equations. With 28 multiple-choice questions, students can assess their understanding and readiness for the May exam. Ideal for high school students enrolled in AP Precalculus, this resource provides a valuable tool for review and practice.

Key Points

  • Includes 28 multiple-choice questions aligned with AP Precalculus standards.
  • Covers essential precalculus topics such as functions, trigonometry, and polynomial equations.
  • Designed for high school students preparing for the AP Precalculus exam.
  • Provides an opportunity for self-assessment and exam readiness.
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PRECALCULUS
SECTION I, Part A
Time – 1 hour, 20 minutes
Number of questions – 28
NO CALCULATOR IS ALLOWED FOR THIS PART OF THE EXAM.
Directions: Solve each of the following problems, using the available space for scratch work. After examining the
choices, decide which is the best of the choices given and fill in the corresponding circle on the answer sheet. No
credit will be given for anything written in this exam booklet. Do not spend too much time on any one problem.
In this exam:
(1) Unless otherwise specified, the domain of a function 𝑓 is assumed to be the set of all real numbers 𝑥 for
which 𝑓
(
𝑥
)
is a real number.
(2) Angle measures for trigonometric functions are assumed to be in radians.
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1.
Let
f
be a decreasing function where the rate of change of
f
is increasing. Which of the following
could be the graph of
?f
(A)
(B)
(C)
(D)
2.
The table gives values for the function
g
at selected values of
x
. What is the average rate of change of
g
over the interval
1 6?x
(A)
1
7
(B)
2
5
(C)
3
4
(D)
8
5
x
1
3
4
6
( )
gx
3−
1
1−
5
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( ) ( )
lim and lim 0
xx
f x f x
→− →
= =
4. The value of a new car is modeled by the function
C
. The value of the car is expected to decrease by
19%
each year. At time
0t =
years, the value of the car was
$30,000
. Which of the following expressions
gives the value of the car after
m
months? (Note: There are 12 months in a year).
(A)
( )
12
30,000 0.19
m
(B)
( )
12
30,000 0.19
m
(C)
( )
12
30,000 0.81
m
(D)
( )
12
30,000 0.81
m
5. Let
f
be a function with the domain
28x−
. The function
g
is defined by
( ) ( )
( )
3 2 4 1g x f x= + −
.
Which of the following gives the domain of the function
g
?
(A)
7, 23−
(B)
5, 0−
(C)
3, 2−
(D)
0, 20
6. What is the value of the expression
29
1
log 8 log
3

+


?
(A)
5
3
−
(B)
10
3
(C)
5
2
(D)
7
2
3.
The function
f
has the end behavior described above. Which of the following could be an expression for
?f
(A)
1
3
2
x

−


(B)
( )
32
x
−
(C)
1
3
2
x



(D)
( )
32
x
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Faqs of AP Precalculus Practice Exam 1
What topics are covered in the AP Precalculus Practice Exam 1?
The AP Precalculus Practice Exam 1 covers a wide range of topics essential for success in precalculus. Key areas include functions, trigonometric identities, polynomial equations, and their applications. Each question is designed to reflect the types of problems that students will encounter on the actual AP exam, ensuring comprehensive preparation. By working through these questions, students can reinforce their understanding of critical precalculus concepts.
How can students use the AP Precalculus Practice Exam 1 effectively?
Students can use the AP Precalculus Practice Exam 1 as a self-assessment tool to gauge their understanding of the material. It is recommended to time oneself while taking the exam to simulate actual test conditions. After completing the exam, students should review their answers, focusing on areas where they struggled. This practice will help reinforce learning and identify topics that may require further study before the actual AP exam.
What is the format of the questions in the AP Precalculus Practice Exam 1?
The questions in the AP Precalculus Practice Exam 1 are formatted as multiple-choice, which is consistent with the actual AP exam structure. Each question presents a problem along with several answer choices, allowing students to select the best option. This format not only helps in assessing knowledge but also familiarizes students with the testing style they will encounter in the AP exam.
Who is the intended audience for the AP Precalculus Practice Exam 1?
The intended audience for the AP Precalculus Practice Exam 1 includes high school students enrolled in AP Precalculus courses. It is specifically designed for those preparing to take the AP exam, providing them with practice opportunities to enhance their skills. Teachers may also find this resource useful for assigning practice work to their students.
How does the AP Precalculus Practice Exam 1 help in exam preparation?
The AP Precalculus Practice Exam 1 helps students prepare for the AP exam by providing a realistic testing experience. By practicing with this exam, students can familiarize themselves with the types of questions they will face, improve their problem-solving speed, and build confidence. Additionally, reviewing the questions and answers allows students to identify strengths and weaknesses, guiding their study efforts effectively.