About This Chapter
Praxis I Core Academic Math: Algebraic Expressions - Chapter Summary
The lessons in this chapter can help you apply understanding of arithmetic to algebraic expressions, express relationships as algebraic expressions and much more. Other topics your video instructors will touch on include:
- Studying simple algebraic expressions
- Subtracting, adding, multiplying and dividing rational expressions
- Using algebraic and numeric expressions to solve real-life problems
- Utilizing properties of operations to create equivalent expressions
- Practicing with multiplying and dividing rational expressions
Each of these topics will be thoroughly discussed by your instructors as they help you to utilize the information on the actual test. In order to create a more stimulating learning experience, and to ensure that you're adequately prepared for the test, several learning approaches will be used throughout your lessons.
Praxis I Core Academic Math: Algebraic Expressions Course Objectives
The Praxis I Math test is designed to gauge the mathematical concepts and skills that an adult with a degree might need. The skills test concentrates on the most important mathematical concepts in addition to the individual's ability to reason in a quantitative context and solve problems.
This chapter's topics are intended to help you with the algebra section of the exam, which makes up roughly 20% of the full exam. Usually there are nine multiple-choice algebra questions on the Praxis I Math test, and you'll have 75 minutes to complete them. Additional items related to algebra that you'll be tested on for the skills test include equations, inequalities, patterns, algebraic reasoning and algebraic representations.
As you complete the self-assessment quizzes, you'll get a better idea of the types of questions you'll answer on the actual skills test. The quizzes are also a way for you to see how good you are at using the testing methods on the algebra portion of the test.
1. What is the Correct Setup to Solve Math Problems?: Writing Arithmetic Expressions
When it comes to solving math word problems, there is a correct way of setting up the problem and labeling the various parts of the problem so that you can solve the problem easily. Watch this video lesson to learn how you can do it.
2. Distributing Algebraic Expressions with Numbers and Variables
So, you can simplify an algebraic expression when you need to distribute a number? Great! But what if you need to distribute a variable or a variable with an exponent? Learn how in this lesson.
3. Translating Words to Algebraic Expressions
When it comes to word problems, the easiest way to solve them is to look for keywords and change them into math symbols. Watch this video lesson to find out what keywords you should look for and what math symbols they represent.
4. Expressing Relationships as Algebraic Expressions
What do you do when you don't know what a number is but you do know how it relates to something else? You use an algebraic expression. In this lesson, we'll learn how to express relationships as algebraic expressions.
5. Evaluating Simple Algebraic Expressions
In this lesson, we'll learn how to evaluate algebraic expressions, which involves substituting numbers for variables and following the order of operations. By the end of the lesson, you'll be an algebraic expression expert.
6. How to Add and Subtract Rational Expressions
Adding and subtracting rational expressions brings everything you learned about fractions into the world of algebra. We will mix common denominators with factoring and FOILing.
7. Practice Adding and Subtracting Rational Expressions
Adding and subtracting rational expressions can feel daunting, especially when trying to find a common denominator. Let me show you the process I like to use. I think it will make adding and subtracting rational expressions more enjoyable!
8. How to Multiply and Divide Rational Expressions
Multiplying and dividing rational polynomial expressions is exactly like multiplying and dividing fractions. Like fractions, we will reduce. With polynomial expressions we use factoring and canceling. I also give you a little mnemonic to help you remember when you need a common denominator and when you don't.
9. Multiplying and Dividing Rational Expressions: Practice Problems
Let's continue looking at multiplying and dividing rational polynomials. In this lesson, we will look at a couple longer problems, while giving you some practice multiplying and dividing.
10. What Is The Order of Operations in Math? - Definition & Examples
The order of operations is the steps used to simplify any mathematical expression. In this video, learn how to solve problems using these steps and easy tricks to remember them.
11. Equivalent Expressions and Fraction Notation
Did you know that two fractions can look completely different, but actually be the same? In this lesson, we'll learn about equivalent fractions. We'll also learn to simplify fraction notation.
12. Negative Signs and Simplifying Algebraic Expressions
Don't let negative signs get you down. In this lesson, we'll stay positive as we practice simplifying algebraic expressions that have those tricky negative signs.
13. Practice Simplifying Algebraic Expressions
In this lesson, we'll practice simplifying a variety of algebraic expressions. We'll use two key concepts, combining like terms and the distributive property, to help us simplify.
14. Combining Like Terms in Algebraic Expressions
When you have an algebraic expression that's much too long, it would be great if you could simplify it. That's when knowing how to combine like terms comes in. In this lesson, we'll learn the process of combining like terms and practice simplifying expressions.
15. The Distributive Property and Algebraic Expressions
The order of operations is great. But sometimes we need to bend the rules to simplify an equation. Fortunately, the distributive property gives us a scenario in which this is okay. Learn all about it in this lesson.
16. The Commutative and Associative Properties and Algebraic Expressions
The order of operations is important and useful, but a few mathematical properties highlight cases where order doesn't matter. In this lesson, we'll learn about the commutative and associative properties, which may save you time and effort.
Earning College Credit
Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.
To learn more, visit our Earning Credit Page
Transferring credit to the school of your choice
Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.
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: Square Roots and Exponents
- Praxis I Math: Ratio and Proportions
- 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