# PSAT Mathematics Review Course

Best Free PSAT Math Study Guide

## Math Basics

### Lesson 1: Operations Basics

- Integers, Decimals, and Fractions
- Addition and Subtraction
- Multiplication and Division
- Exponents and Roots
- Associative Property
- Distributive Property
- Order of Operations

### Lesson 2: Factors and Multiples

- Prime Numbers, Factoring, and Prime Factorization
- Multiples
- Greatest Common Factor
- Least Common Multiple

## Fractions

### Lesson 1: Fraction Basics

- Improper Fractions and Mixed Numbers
- Fractions of a Whole
- Converting Improper Fractions to Mixed Numbers
- Changing Mixed Numbers to Improper Fractions
- Ordering Fractions

### Lesson 2: Fraction Operations

- Adding and Subtracting Fractions
- Multiplying and Dividing Fractions
- Converting Percentages to Decimals and Fractions
- Converting Mixed Numbers to Decimals and Improper Fractions
- Converting Improper Fractions to Mixed Numbers and Decimals

## Decimals

### Lesson 1: Decimal Basics

### Lesson 2: Decimal Operations

- Adding and Subtracting Decimals
- Multiplying Decimals
- Dividing Decimals
- Converting Decimals to Fractions and Percentages
- Converting Decimals to Improper Fractions and Mixed Numbers
- Scientific Notation
- Changing a Number from Standard Form to Scientific Notation

## Equations and Functions

### Lesson 1: Equation Basics

- Arithmetic Sequences and their Formulas
- Absolute Value
- Solving Equation using Addition and Subtraction
- Solving Equation Using Multiplication and Division
- Solving Equation with Absolute Value
- Solving an Equation Using Four Basic Operations

### Lesson 2: Inequalities

- Equations and Inequalities
- Linear Inequalities
- Solving Inequalities Using All four Basic Operations
- Graphing Solutions to Linear Inequalities
- Solving Absolute Value Inequalities

### Lesson 3: Linear System of Equations

- System of Equations Basics
- Linear Equations Basics
- Comparison of Methods for Solving System of Equations

### Lesson 4: Graphing of Linear Equations and Functions

- Using a Graph
- Graphing Linear Equations
- Graphing the Inverse of a Function
- Graphing Absolute Value Equations
- Graphs of Functions
- Solutions of a Quadratic Equation on a Graph
- Changing Constants in Graphs of Functions: Quadratic Equations

Changing Constants in Graphs of Functions: Linear Functions

## Word Problems

- Word Problems and Subtraction
- Word Problems and Addition
- Word Problems and Multiplication
- Word Problems and Division
- Right Triangle Word Problem
- Linear Equation Word Problem

## Geometry

### Lesson 1: Angle Basics

### Lesson 2: Triangles

- Area and Perimeter of a Triangle
- Proof that a Triangle is 180 Degrees
- Similar Triangles
- Measurements for Similar Triangles
- Measurements for Similar Triangles
- Measurements for Similar Triangles Continued

### Lesson 3: Circles

- Area and Circumference of a Circle
- Unit Circles and Standard Position
- Finding Measurements for Parts of a Circle