# Ch 2: Basic Math Review

### About This Chapter

## Basic Math Review - Chapter Summary

Sure, you've learned it all before. However, sometimes our memories of foundational math basics can become a little hazy. Let our expert instructors help you review math essentials through this informative chapter. You'll get details on the different types of numbers and find fun and easy tricks for remembering the order of operations. You can also revisit basic concepts like fractions, percents and mathematical sets. If you want to practice some of these concepts, you'll find sample problems and examples in many of the lessons in this chapter. The following topics are all included in this chapter:

- Using the order of operations
- Methods for finding the prime factorization of a number
- Least common denominator, greatest common factor and least common multiple
- Building, reducing, comparing, solving and ordering fractions
- Calculating proportions and ratios
- Exchanging between decimals, percents and fractions
- Estimating with fractions
- Understanding elements, unions and intersections in mathematical sets

This basic math review has been developed by well-informed instructors, using innovative techniques and styles. Each lesson includes a video, text transcript version and quiz. The videos offer timelines with tags, so that you can easily return to any specific portions for additional review. Use the quizzes and other materials to help you prepare for the multiple-choice questions you'll find on the SAT subject test.

### Basic Math Review Objectives

The SAT Subject Test Math 2 isn't required by all colleges, but passing it can help you stand out during the admissions process. Concepts covered in this chapter on basic math can serve as a foundation for the questions you'll see on the test. If you master these basic math operations, you'll be well-prepared for the 50 multiple-choice questions covering geometry and measurement, numbers and math operations, algebra, functions, data analysis and probability.

### 1. What are the Different Types of Numbers?

Learn all of the different types of numbers: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. This video lesson teaches you how to classify any numbers you come across.

### 2. 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.

### 3. How to Find the Prime Factorization of a Number

The prime factorization of a number involves breaking that number down to its smallest parts. This lesson will show you two different ways to discover the prime factorization of any number.

### 4. How to Find the Greatest Common Factor

If the factors of a number are the different numbers that you can multiply together to get that original number, then the greatest common factor of two numbers is just the biggest one that both have in common. See some examples of what I'm talking about here!

### 5. How to Find the Least Common Multiple

The least common multiple of two numbers is the smallest number that can be divided evenly by your two original numbers. See some examples of what I'm talking about here!

### 6. How to Build and Reduce Fractions

Fractions are a fundamental part of everyday life. Fractions represent a comparison of a part to the whole. To reduce fractions, we will divide by the greatest common factor, or the GCF.

### 7. How to Find Least Common Denominators

Finding a Least Common Denominator is an important tool when working with fractions. To find least common denominators, we will use multiples of our numbers.

### 8. Comparing and Ordering Fractions

Comparing and ordering fractions is way to examine fractions that contain different-sized sets. In order to compare these fractions, you must find a common denominator and make equivalent fractions.

### 9. Estimation Problems using Fractions

When working with fractions, estimating can save time and effort while getting you very close to the correct answer. In this lesson, we'll learn how to use estimation to quickly solve problems involving fractions.

### 10. How to Solve Complex Fractions

Did you know fractions can nest within fractions? In this lesson, we'll learn about complex fractions and look at two different methods for solving them.

### 11. Calculations with Ratios and Proportions

Even if only 99 out of 100 people need to know how to work with ratios, the odds that they'll be useful to you are very high. In this lesson, we'll practice performing calculations with ratios and proportions.

### 12. What is a Percent? - Definition & Examples

Thinking in terms of pizza is an excellent way to think about percentages. Learn how it can help you understand percentages in this video lesson. You will also learn about the uses of percentages in the real world.

### 13. Changing Between Decimals and Percents

Watch as we go on a rollercoaster ride in changing from a decimal to percent and then back again. Learn to master this technique so you can get as fast as a rollercoaster going downhill on tests and quizzes when you have to convert between the two.

### 14. Changing Between Decimals and Fractions

In this video lesson, you will learn about the usefulness of knowing how to change quickly between decimals and fractions. You will also learn how changing from a decimal to a fraction is different than changing from a fraction to a decimal.

### 15. Mathematical Sets: Elements, Intersections & Unions

Today we're going to explore mathematical sets, which are surprisingly simple! Sets are just collections of any objects or concepts, also known as elements, that can be related to each other through union or intersection.

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### Other Chapters

Other chapters within the SAT Subject Test Mathematics Level 2: Practice and Study Guide course

- Structure & Strategies for the SAT Math Level 2
- Square Roots
- Basic Algebraic Expressions
- Exponents
- Vectors
- Algebraic Linear Equations & Inequalities
- Algebra: Absolute Value Equations & Inequalities
- Algebra: Polynomials
- Functions in Math
- Algebra: Rational Expressions
- Matrices
- Understanding Sequences & Series
- Understanding Exponentials & Logarithms
- Complex and Imaginary Numbers
- Coordinate Geometry Basics
- Coordinate Geometry: Graphing Linear Equations & Inequalities
- Advanced Coordinate Geometry
- Three-Dimensional Geometry
- Overview of Trigonometry
- Probability, Combinations & Permutations
- Working with Data & Statistics
- Basic Mathematical Logic
- Limits of Functions