# Ch 24: ORELA Middle Grades Math: Factoring

### About This Chapter

## ORELA Middle Grades Math: Factoring - Chapter Summary

This chapter offers video lessons designed to help you get reacquainted with factoring as you prepare to take your ORELA Middle Grades Mathematics test. Upon completion of this chapter, the lessons will have provided you with methods necessary to answer the following types of questions on your test:

- Defining factoring in algebra
- Combining numbers and variables when factoring
- Understanding equivalent expressions and fraction notation
- Changing a factoring problem into a division equation
- Grouping
- Finding factors and multiples of whole numbers
- Factoring out variables
- Getting the gist of arithmetic with whole numbers

Instructors in the video lessons provide step-by-step guidance to ensure you understand the methods and concepts associated with factoring. The fun presentation of the lessons keeps you engaged while giving you the knowledge you need to prepare for the test.

### ORELA Middle Grades Math: Factoring Chapter Objectives

The ORELA Middle Grades Mathematics test ensures you're prepared to teach this subject area in a professional setting while determining your eligibility to secure your teaching license. The ORELA Middle Grades Math: Factoring chapter topics are found in the algebra and functions portion of the exam, which constitutes about 33% of the test. You can use the self-assessment quizzes found with each lesson to determine how much you remember about factoring, while gaining access to the types of questions you'll find on the actual exam.

The assessment is comprised completely of multiple-choice questions that are based on specific competencies. The exam questions typically appear as paragraphs, sentences or questions and may be accompanied by images to help you conceptualize the questions. Following each question is a set of four answers, one of which you will be required to choose as the best option.

### 1. What is Factoring in Algebra? - Definition & Example

Factoring with ordinary numbers involves knowing that 6 is the product of 2 and 3. But what about factoring in algebra? In this lesson, we'll learn the essential elements of algebra factoring.

### 2. 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.

### 3. Factoring Out Variables: Instructions & Examples

Let's find the factors. In this lesson, we'll learn how to factor out numbers or variables from an expression. We'll even learn how to factor variables with exponents.

### 4. Combining Numbers and Variables When Factoring

With an expression, you know how to factor out a number, and you know how to factor out a variable. In this lesson, we'll learn how to factor out combined numbers and variables.

### 5. Transforming Factoring Into A Division Problem

Watch this video lesson to learn how you can factor a problem by turning it into a division problem. Learn how this actually helps you to factor and keep your numbers straight.

### 6. Factoring By Grouping: Steps, Verification & Examples

How do you factor an expression if all the terms don't share a common factor? Grouping! In this lesson, we'll learn how to use grouping to help factor expressions.

### 7. Arithmetic with Whole Numbers

There are four basic mathematical operations: addition, subtraction, multiplication, and division. These four operations are used in a wide range of everyday skills and are the fundamental blocks of arithmetic.

### 8. Finding Factors of Whole Numbers

After watching this video lesson, you will be able to factor any whole number that you are given. You will learn what factors are and how a whole number can have several different factors.

### 9. Finding Multiples of Whole Numbers

After watching this video lesson, you will become a pro at finding multiples of whole numbers. Learn what they are and how you can visualize the process to make it easier for you.

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### Other Chapters

Other chapters within the ORELA Middle Grades Mathematics: Practice & Study Guide course

- ORELA Middle Grades Math: Basic Arithmetic Operations
- ORELA Middle Grades Math: Solving Math Word Problems
- ORELA Middle Grades Math: Properties of Numbers
- ORELA Middle Grades Math: Estimating & Rounding
- ORELA Middle Grades Math: Number Theory
- ORELA Middle Grades Math: Roots & Radical Expressions
- ORELA Middle Grades Math: Exponents & Exponential Expressions
- ORELA Middle Grades Math: Scientific Notation
- ORELA Middle Grades Math: Simplifying Whole Number Expressions
- ORELA Middle Grades Math: Integers
- ORELA Middle Grades Math: Rational Numbers
- ORELA Middle Grades Math: Introduction to Fractions
- ORELA Middle Grades Math: Operations with Fractions
- ORELA Middle Grades Math: Introduction to Decimals
- ORELA Middle Grades Math: Operations with Decimals
- ORELA Middle Grades Math: Percents
- ORELA Middle Grades Math: Money & Consumer Math
- ORELA Middle Grades Math: Number Patterns & Sequences
- ORELA Middle Grades Math: Properties of Functions
- ORELA Middle Grades Math: Graphing Functions
- ORELA Middle Grades Math: Negative Numbers
- ORELA Middle Grades Math: Absolute Value
- ORELA Middle Grades Math: Inequalities
- ORELA Middle Grades Math: Monomials & Polynomials
- ORELA Middle Grades Math: Writing Algebraic Expressions
- ORELA Middle Grades Math: Basic Algebraic Expressions
- ORELA Middle Grades Math: Algebraic Distribution
- ORELA Middle Grades Math: Writing & Solving One-Step Equations
- ORELA Middle Grades Math: Writing & Solving Two-Step Equations
- ORELA Middle Grades Math: Simplifying & Solving Rational Expressions
- ORELA Middle Grades Math: The Coordinate Graph
- ORELA Middle Grades Math: Linear Equations
- ORELA Middle Grades Math: Systems of Linear Equations
- ORELA Middle Grades Math: Rates, Ratios & Proportions
- ORELA Middle Grades Math: Measurements
- ORELA Middle Grades Math: Perimeter & Area
- ORELA Middle Grades Math: Polyhedrons & Geometric Solids
- ORELA Middle Grades Math: Symmetry, Similarity & Congruence
- ORELA Middle Grades Math: Properties of Lines
- ORELA Middle Grades Math: Angles
- ORELA Middle Grades Math: Triangles
- ORELA Middle Grades Math: Triangle Theorems & Proofs
- ORELA Middle Grades Math: Similar Polygons
- ORELA Middle Grades Math: The Pythagorean Theorem
- ORELA Middle Grades Math: Quadrilaterals
- ORELA Middle Grades Math: Circles
- ORELA Middle Grades Math: Circular Arcs & Measurement
- ORELA Middle Grades Math: Transformations
- ORELA Middle Grades Math: Data & Graphs
- ORELA Middle Grades Math: Statistics
- ORELA Middle Grades Math: Data Collection
- ORELA Middle Grades Math: Samples & Populations
- ORELA Middle Grades Math: Probability
- ORELA Middle Grades Math: Sets
- ORELA Middle Grades Mathematics Flashcards