About This Chapter
Problems with Exponential Expressions - Chapter Summary
Use this set of video lessons to learn how to solve exponential equations. Experienced instructors can guide you through the material in preparation for the NY Integrated Algebra Regents Exam. You'll explore the following topics in this chapter:
- Defining an exponential function
- Solving exponential equations
- Comparing exponential growth and decay
- Applying the order of operations to exponential expressions
- Multiplying and dividing exponential expressions
The video lessons are led by experienced instructors, who can concisely present the material in an engaging manner. You can test your understanding with self-assessment quizzes at the close of each chapter. If you want even more help studying for the Integrated Algebra Regents Exam, you can click on lesson transcripts and key terms for this chapter.
Problems with Exponential Expressions Objectives
To receive a Regents Diploma in the state of New York, you must pass a series of five tests, including the Integrated Algebra Regents Exam. This exam requires a passing score of 65 or higher. The test is broken down into four parts, with a total of about 40 questions. Most of the exam is multiple choice, but there are sections that require you to fill in your answers to mathematical problems. You may also need to produce graphs or charts.
Topics on the Integrated Algebra Regents Exam include operations, equations, expressions, number theory, coordinate geometry, trigonometric functions and probability. You'll have three hours to take the test.
1. What Is an Exponential Function?
Brand new technologies don't always catch on right away because they can be expensive and don't always work as well as they should. But once the price comes down, and they start to work better, it doesn't take very long before it seems like everyone has one. Learn about the numbers behind this, exponential functions!
2. How to Solve Exponential Equations
Read this lesson to learn the steps you need to take to solve exponential equations. You'll see that it's not too difficult; you just need to make use of one other mathematical operation in order to solve your problems.
3. Exponential Growth vs. Decay
How is it that it only takes four years for our computer to go from top-of-the-line to almost worthless? Well, it has something to do with what's called exponential decay, which we'll learn about here!
4. Exponential Expressions & The Order of Operations
When performing mathematical operations, there is a specific order in which the operations should be performed. This includes when to simplify the exponents. This lesson will describe in what order exponents should be solved as you are performing mathematical operations.
5. Multiplying Exponential Expressions
There are certain rules that govern working with exponential expressions. This lesson deals with the rule for multiplying exponential expressions. It will describe the rule and give some examples of how it works.
6. Dividing Exponential Expressions
Any time you work with expressions that contain exponents, you have to follow a specific set of rules that are not the same as when you are working with expressions that do not contain exponents. This lesson will describe the rules associated with dividing terms that contain exponents.
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Other chapters within the NY Regents Exam - Integrated Algebra: Test Prep & Practice course
- Number Theory & Basic Arithmetic
- Problems with Decimals and Fractions
- Problems with Percents
- Problems with Exponents
- Problems with Radical Expressions & Equations
- Problems with Algebraic Expressions and Equations
- Distributing Terms in Algebra
- Algebraic Linear Equations & Inequalities
- Understanding Matrices & Absolute Value
- Overview of Functions
- Factoring with Variables
- Quadratics & Polynomials
- Rational Expressions & Practice
- Graphing Functions
- Calculations with Ratios, Percent & Proportions
- Understanding Sets
- Understanding Probability & Statistics
- Factorials & the Binomial Theorem
- Working with Data
- Well-Known Equations
- Intro to Trigonometry
- Measurement for Algebra Students
- Geometry for Algebra Students
- About the NY Regents Examinations
- NY Regents Exam - Integrated Algebra Flashcards