AP®︎ Calculus BC: Topic 6.1 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 6.1 of AP Calculus BC – Exploring Accumulations of Change.


Questions List

Topic 6.1

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12
Q13

Question 1 Easy

A pump drains a swimming pool at a constant rate of 18 gallons per minute for 25 minutes.

What is the change in the volume of water in the pool over these 25 minutes?

A−450-450 gallons
B−18-18 gallons
C−0.72-0.72 gallons
D450450 gallons

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus BC Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.

Topic 6.1: Exploring Accumulations of Change

Learning Objective: CHA-4.A

Interpret the meaning of areas associated with the graph of a rate of change in context.

Essential Knowledge: CHA-4.A.1

The area of the region between the graph of a rate of change function and the x axis gives the accumulation of change.

Essential Knowledge: CHA-4.A.2

In some cases, accumulation of change can be evaluated by using geometry.

Essential Knowledge: CHA-4.A.3

If a rate of change is positive (negative) over an interval, then the accumulated change is positive (negative).

Essential Knowledge: CHA-4.A.4

The unit for the area of a region defined by a rate of change is the unit for the rate of change multiplied by the unit for the independent variable.