About This Chapter
Praxis I Math: Square Roots and Exponents - Chapter Summary
This chapter's lessons are designed to help you learn about square roots and exponents as you prepare for the algebra section of the pre-professional skills test. Other lesson topics the video instructors will cover include:
- Evaluating square roots of perfect squares
- Estimating square roots
- Simplifying square roots and complex expressions
- The five main exponent properties
- Rational exponents
- Simplifying expressions with rational exponents
- Defining a negative and zero exponent
Each lesson will be fully explained by your video instructors, and they'll also give you tips on how you can best use the information you learn on the test. To keep your lessons engaging and to ensure you're fully prepared for the Praxis, a variety of learning approaches will be used as you progress through the chapter.
Objectives of the Square Roots and Exponents Course
The overall goal of the Praxis I Math test is to measure the mathematical skills and concepts that an educated adult might use. The test also focuses on some of the more important mathematical concepts as well as your ability to reason in a quantitative context and solve problems.
The algebra portion of the exam makes up about 20% of the full exam. Typically, there are nine multiple choice algebra questions on the skills test. You'll have 75 minutes to finish the entire test, but you won't be permitted to use a calculator.
Once you've completed all of the self-assessment quizzes, you'll start to see how questions will be designed on the test and get an idea of how well you can use the testing methods that you learn.
1. Evaluating Square Roots of Perfect Squares
Squares and square roots are inverse, or opposite, operations involving radicals. Learn how to determine the square root of perfect squares in this lesson.
2. Estimating Square Roots
Inverse operations are mathematical operations that undo each other. The square root is the inverse of the squared (or multiplying a number by itself) operation. There is an easy method for estimating the square root of a number, which you will learn in this lesson.
3. Simplifying Square Roots When not a Perfect Square
Numbers that are imperfect squares are those that, when evaluated, do not give solutions that are integers. The proper mathematical way to simplify these imperfect squares is discussed in this lesson.
4. Simplifying Expressions Containing Square Roots
In order to write radical expressions correctly, they have to be written in their simplest form. This lesson will show you how to simplify expressions containing numbers and variables inside a square root.
5. What Are the Five Main Exponent Properties?
We'll look at the five important exponent properties and an example of each. You can think of them as the order of operations for exponents. Learn how to handle math problems with exponents here!
6. How to Define a Zero and Negative Exponent
The zero and negative exponent properties are two you will use quite a lot in mathematics. The negative exponent property can be confusing, but when you remember a couple fun ideas, you will get it right every time!
7. Rational Exponents
In this video, learn how to go from a rational exponent to a radical expression and back. No tricks or magic, just good math! We'll review the basics and look at a few examples.
8. Simplifying Expressions with Rational Exponents
Simplifying expressions with rational exponents is so easy. In fact, you already know how to do it! We simply use the exponent properties but with fractions as the exponent!
9. How to Simplify Expressions with Exponents
In this video, we will put all of the exponent properties we have learned together. Don't let lots of numbers and letters confuse you! Simplifying exponents can be easy and fun!
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Other chapters within the Praxis Core Academic Skills for Educators - Mathematics (5732): Study Guide & Practice course
- About the Praxis Math Core Test
- Praxis I Math: The Real Number System
- Praxis I Math: Ratio and Proportions
- Praxis I Math: Algebraic Expressions
- Praxis I Math: Equations and Inequalities
- Praxis I Math: Functions
- Praxis I Math: Congruence and Similarity
- Praxis I Math: Right Triangles and Trigonometry
- Praxis I Math: Circles
- Praxis I Math: Geometric Measurement and Dimension
- Praxis I Math: Basic Statistics and Probability
- Praxis I Math: Categorical and Quantitative Data
- Praxis Core Academic Skills for Educators: Math Flashcards