AP Precalculus Practice Test: Unit 2 Progress Check B (Sections 2.9 - 2.15)

My AP Precalculus Practice Tests are carefully designed to help students build confidence for in-class assessments, support their work on AP Classroom assignments, and thoroughly prepare them for the AP Precalculus exam in May.

This contains multiple choice problems and free response questions.

### 2.9 Logarithmic Expressions
This topic focuses on **logarithmic expressions**, which are the inverse of exponential functions. Students learn how to simplify, expand, and evaluate logarithmic expressions using properties such as the product, quotient, and power rules.

### 2.10 Inverses of Exponential Functions
Explores the **inverse** of exponential functions, which are **logarithmic functions**. Students learn to find the inverse of exponential functions and use them to solve equations involving exponential growth or decay.

### 2.11 Logarithmic Functions
Introduces **logarithmic functions**, including their properties and how they relate to exponential functions. The topic also includes graphing logarithmic functions and solving logarithmic equations.

### 2.12 Logarithmic Function Manipulation
Covers the **manipulation** of logarithmic functions, including simplifying and combining logs using their properties, and solving logarithmic equations through algebraic techniques and logarithmic rules.

### 2.13 Exponential and Logarithmic Equations and Inequalities
Focuses on solving **exponential and logarithmic equations** and inequalities. It involves using algebraic methods to solve problems involving exponential growth, decay, and logarithmic relationships without the use of inequality symbols.

### 2.14 Logarithmic Function Context and Data Modeling
Explores the **use of logarithmic functions** in real-world contexts, such as modeling data that follows exponential growth or decay. Students apply logarithmic regression to fit models to data, such as population growth or financial trends.

### 2.15 Semi-log Plots
Teaches **semi-logarithmic plots**, where one axis is scaled logarithmically. This is commonly used for graphing data that grows exponentially, allowing students to analyze and interpret data more easily.

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Nick Perich
Norristown Area High School
Norristown Area School District
Norristown, Pa

#math #algebra #algebra2 #maths