AP®︎ Calculus AB: Topic 5.10 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 5.10 of AP Calculus AB – Introduction to Optimization Problems.


Questions List

Topic 5.10

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

Question 1 Easy

Figure

A gardener has 80 feet of fencing to enclose a rectangular garden against a wall, as shown. No fence is needed along the wall. Which expression gives the area of the garden in terms of xx?

A2x(80−2x)2x(80-2x)
Bx(40−x)x(40-x)
Cx(80−2x)x(80-2x)
Dx(80−x)x(80-x)

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus AB 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 5.10: Introduction to Optimization Problems

Learning Objective: FUN-4.B

Calculate minimum and maximum values in applied contexts or analysis of functions.

Essential Knowledge: FUN-4.B.1

The derivative can be used to solve optimization problems; that is, finding a minimum or maximum value of a function on a given interval.