About This Chapter
THEA Test: Principles of Algebra - Chapter Summary
Getting reacquainted with the principles of algebra might feel overwhelming if you haven't reviewed this subject area in months or years. To ease the process of revisiting these concepts, watch this chapter's lessons that prepare you for:
- Identifying algebra vocabulary terms
- Defining a variable in algebra
- Understanding why we distribute in algebra
- Knowing the differences between distributing first and adding first
- Examining how to distribute positive and negative signs
- Practicing how to simplify algebraic expressions with negative signs
- Analyzing how to distribute algebraic expressions with numbers and variables
You can use the lessons in this chapter to create or add to an existing study guide related to algebra or mathematics. Watch the videos in any order and revisit them often until you feel you've absorbed the principles of algebra.
THEA Test: Principles of Algebra Objectives
The THEA test gauges your comprehension of reading, writing and math to ensure you're prepared to perform at a freshman level at a Texas public college or university. This chapter prepares you to answer questions in the math section of the test, which consists of 50 multiple-choice questions and requires a minimum passing score of 230.
To boost your confidence as you study for the test, review the lessons in this chapter in their video or transcript format. You can test your understanding of lesson concepts by taking short self-assessment quizzes that feature questions formatted similarly to those on the test. If you want to reinforce all of the lessons in this chapter, take the more in-depth practice chapter exam.
1. Algebra Vocabulary Terms
Watch this video lesson to learn about some basic vocabulary words that you will come across again and again in the course of your studies in algebra. After you finish this video, you should know and be able to identify each term.
2. What is a Variable in Algebra?
Did you ever encounter something like a + b = c and wonder how all these letters snuck into a math problem? In this lesson, we'll learn about variables, as well as other parts of equations, constants and coefficients.
3. Why Do We Distribute in Algebra? - Explanation & Examples
What's the purpose of distribution in algebra? In this lesson, we'll find out why we distribute. We'll also look at examples and sample problems that involve basic distribution.
4. Distributing First vs. Adding First: Differences & Examples
When we need to simplify an expression, how do we know if we should distribute first or add first? In this lesson, we'll look at when this matters and how to make the best decision.
5. Distributing Positive and Negative Signs
It's not just numbers and variables that get distributed. Positive and negative signs can, too. In this lesson, we'll learn how to distribute positive and negative signs correctly.
6. 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.
7. 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.
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Other chapters within the THEA Test: Practice & Study Guide course
- THEA Test: Understanding Words & Phrases
- THEA Test: Analyzing Literature
- THEA Test: Reading Comprehension & Interpretation
- THEA Test: Point of View & Meaning in Literature
- THEA Test: Drawing Conclusions from Ideas in Text
- THEA Test: Using Critical Thinking to Evaluate Writing
- THEA Test: Understanding Reading Assignments
- THEA Test: Writing Style
- THEA Test: Writing Organization
- THEA Test: Writing Grammar & Mechanics
- THEA Test: Using Verbs
- THEA Test: Using Modifiers
- THEA Test: Using Nouns & Pronouns
- THEA Test: Proofreading & Editing Your Writing
- THEA Test: Fundamental Arithmetic
- THEA Test: Simplifying Whole Number Expressions
- THEA Test: Negative Numbers
- THEA Test: Absolute Value
- THEA Test: Properties of Basic Math
- THEA Test: Solving Word Problems
- THEA Test: Fractions
- THEA Test: Decimals & Percentages
- THEA Test: Ratios & Proportions
- THEA Test: Units of Measurement
- THEA Test: Scientific Notation
- THEA Test: Radicals & Square Roots
- THEA Test: Radical Expressions
- THEA Test: Exponents
- THEA Test: Calculating & Plotting Data
- THEA Test: Solving Rational Equations
- THEA Test: Graphing Linear Equations
- THEA Test: Algebraic Expressions & Equations
- THEA Test: Word Problems in Algebra
- THEA Test: Properties of Functions
- THEA Test: Quadratic Equations
- THEA Test: Two-Variable Equations & Systems of Equations
- THEA Test: Properties of Polynomial Functions
- THEA Test: Properties & Theorems of Geometry
- THEA Test: Principles of Geometry
- THEA Test: Area, Perimeter & Volume in Geometry
- THEA Test: Problem Solving in Math