A comprehensive guide to essential SAT mathformulas and concepts...
Easy SAT Math: Percent Change, Vertex, and Arc Formulas





Page 2: Vertex Formulas and Discriminants
This section covers parabola analysis through vertex formulas and discriminant calculations.
Definition: The vertex represents the maximum or minimum point of a parabola, denoted as (h,k).
Vocabulary: Discriminant determines the number and nature of roots in quadratic equations.
Example: The vertex can be found using either -b/2a or the midpoint method between x-intercepts.
Highlight: Understanding discriminant results: d<0 means no roots, d=0 indicates one root, and d>0 shows two roots exist.

Page 3: Trigonometry and Circle Measurements
This page details trigonometric ratios and circular measurements essential for SAT mathematics.
Definition: SOH-CAH-TOA represents the fundamental trigonometric ratios: Sine=Opposite/Hypotenuse, Cosine=Adjacent/Hypotenuse, Tangent=Opposite/Adjacent.
Example: Arc length calculation uses the formula: 2πr × , representing a portion of the circle's circumference.
Highlight: The complementary angle rule states that when sine and cosine are equal, their angles sum to 90 degrees.

Page 4: Advanced Geometry and Applications
The final page covers advanced geometric concepts and practical mathematical applications.
Definition: The equation of a circle on the coordinate plane is ² + ² = r².
Example: Special right triangles have specific side length relationships.
Vocabulary: Growth and decay formula A=Pᵗ where A is total amount, P is principal, r is rate, and t is time.
Highlight: Interior angle sum formula for polygons is 180, where n represents the number of sides.

Page 1: Essential SAT Formulas - Part 1
This page introduces fundamental formulas for percentage calculations and quadratic equations. The content focuses on practical applications in SAT mathematics.
Definition: Percent change is calculated using /initial × 100, with positive results indicating increases and negative results indicating decreases.
Example: When calculating x-intercepts, two methods are available: factoring for simple equations like y=x²+6x+5, or the quadratic formula for more complex equations.
Highlight: The sum and product of roots formulas provide efficient solutions when questions specifically ask for these values without requiring full equation solving.
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What is the Knowunity AI companion?
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
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Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Easy SAT Math: Percent Change, Vertex, and Arc Formulas
A comprehensive guide to essential SAT math formulas and concepts covering geometry, algebra, and trigonometry.
- Detailed coverage of SAT math percent change formula for calculating increases and decreases
- In-depth explanation of quadratic equations including the vertex formula in quadratic equations...

Page 2: Vertex Formulas and Discriminants
This section covers parabola analysis through vertex formulas and discriminant calculations.
Definition: The vertex represents the maximum or minimum point of a parabola, denoted as (h,k).
Vocabulary: Discriminant determines the number and nature of roots in quadratic equations.
Example: The vertex can be found using either -b/2a or the midpoint method between x-intercepts.
Highlight: Understanding discriminant results: d<0 means no roots, d=0 indicates one root, and d>0 shows two roots exist.

Page 3: Trigonometry and Circle Measurements
This page details trigonometric ratios and circular measurements essential for SAT mathematics.
Definition: SOH-CAH-TOA represents the fundamental trigonometric ratios: Sine=Opposite/Hypotenuse, Cosine=Adjacent/Hypotenuse, Tangent=Opposite/Adjacent.
Example: Arc length calculation uses the formula: 2πr × , representing a portion of the circle's circumference.
Highlight: The complementary angle rule states that when sine and cosine are equal, their angles sum to 90 degrees.

Page 4: Advanced Geometry and Applications
The final page covers advanced geometric concepts and practical mathematical applications.
Definition: The equation of a circle on the coordinate plane is ² + ² = r².
Example: Special right triangles have specific side length relationships.
Vocabulary: Growth and decay formula A=Pᵗ where A is total amount, P is principal, r is rate, and t is time.
Highlight: Interior angle sum formula for polygons is 180, where n represents the number of sides.

Page 1: Essential SAT Formulas - Part 1
This page introduces fundamental formulas for percentage calculations and quadratic equations. The content focuses on practical applications in SAT mathematics.
Definition: Percent change is calculated using /initial × 100, with positive results indicating increases and negative results indicating decreases.
Example: When calculating x-intercepts, two methods are available: factoring for simple equations like y=x²+6x+5, or the quadratic formula for more complex equations.
Highlight: The sum and product of roots formulas provide efficient solutions when questions specifically ask for these values without requiring full equation solving.
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Most popular content: Vertex Form
1Most popular content in Math (SAT®)
9Circle Properties: Angles, Chords, and Tangents
Review key theorems and formulas for solving problems involving relationships between angles, chords, and tangent lines within circles for SAT Geometry.
Triangle Congruence and Similarity Proofs
Master the application of theorems to prove triangle congruence and similarity in geometric problem-solving.
Calculating Total Surface Area: Prisms, Cylinders, Spheres
Master surface area calculations for prisms, cylinders, and spheres. Includes essential formulas for finding the total surface area of these 3D figures.
Interior and exterior angle measures
Interior and exterior angle measures practice
Trigonometric ratios and functions
Trigonometry - Additional Topics in Math - SAT Math
Solving the Angle of elevation and depression
Solving the angle of elevation and depression with graph
Circle theorems 1–7
Solving circle theorems from 1–7
Understanding Reflection and Rotation in Coordinate Planes
Learn about the concepts of reflection and rotation in coordinate planes and how they affect the values of x and y coordinates.
Synthetic Division of Polynomials
Learn how to use synthetic and long division to divide polynomials and determine if a divisor is a factor. Understand the remainder theorem and factor theorem.
Most popular content
9Origins and Dynamics of the Columbian Exchange
Analyze the ecological and economic motivations behind the initial transfer of goods, people, and diseases between the Old and New Worlds.
Introduction to Early Cultural Interactions
Analyze the initial social and religious encounters between Europeans, Africans, and Indigenous peoples in the colonial Americas.
Origins of Ancient River Civilizations
Analyze the environmental factors and technological innovations that led to the rise of early states in Mesopotamia, Egypt, and the Indus Valley.
Motivations for European Exploration
Analyze the economic, religious, and political factors that drove European powers to the Americas during the 15th and 16th centuries.
Foundations of Ethical Guidelines in Research
Practice the core principles of the APA ethical code including informed consent, debriefing, and the role of Institutional Review Boards.
Introduction to Native American Societies
Examine the diverse social, political, and economic structures of North American indigenous groups prior to European contact.
Introduction to Biological Elements of Life
Practice identifying the essential elements including carbon, nitrogen, phosphorus, and sulfur that compose biological macromolecules.
Introduction to the Spanish Encomienda System
Explore the fundamental economic and social structures of the Spanish colonial system, focusing on the encomienda and the casta social hierarchy.
Origins and Continuity of the Byzantine Empire
Analyze the political and cultural transitions from the Roman Empire to the Byzantine Empire, focusing on the reign of Justinian I and his code.
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.