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Easy SAT Math: Percent Change, Vertex, and Arc Formulas

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~Taffi~

12/4/2023

Math (SAT®)

EVERY FORMULA YOU NEED FOR SAT

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Math (SAT®)

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Problem Solving and Data Analysis

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Data Interpretation

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
  • Complete breakdown of trigonometric ratios and arc length and sector area SAT formulas
  • Essential geometric formulas for circles, triangles, and three-dimensional shapes
  • Key algebraic concepts including growth, decay, and density calculations
...

12/4/2023

425

SAT Formula list. 1 Percent Change formula Use the formula below to find the percent change. between two numbers. 1 final-initial x 100 =% c

View

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,kh,k.

Vocabulary: Discriminant d=b2−4acd=b²-4ac 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.

SAT Formula list. 1 Percent Change formula Use the formula below to find the percent change. between two numbers. 1 final-initial x 100 =% c

View

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 × Angle/360Angle/360, 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.

SAT Formula list. 1 Percent Change formula Use the formula below to find the percent change. between two numbers. 1 final-initial x 100 =% c

View

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 x−hx-h² + y−ky-k² = r².

Example: Special right triangles 45−45−90and30−60−9045-45-90 and 30-60-90 have specific side length relationships.

Vocabulary: Growth and decay formula A=P1+r1+rᵗ where A is total amount, P is principal, r is rate, and t is time.

Highlight: Interior angle sum formula for polygons is 180n−2n-2, where n represents the number of sides.

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Subjects

Math (SAT®)

Problem Solving and Data Analysis

Data Interpretation

 

Math (SAT®)

•

425

•

Jun 30, 2025

•

4 pages

Easy SAT Math: Percent Change, Vertex, and Arc Formulas

user profile picture

~Taffi~

@taffi

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... Show more

SAT Formula list. 1 Percent Change formula Use the formula below to find the percent change. between two numbers. 1 final-initial x 100 =% c

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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,kh,k.

Vocabulary: Discriminant d=b2−4acd=b²-4ac 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.

SAT Formula list. 1 Percent Change formula Use the formula below to find the percent change. between two numbers. 1 final-initial x 100 =% c

Sign up to see the contentIt's free!

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Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

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 × Angle/360Angle/360, 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.

SAT Formula list. 1 Percent Change formula Use the formula below to find the percent change. between two numbers. 1 final-initial x 100 =% c

Sign up to see the contentIt's free!

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Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

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 x−hx-h² + y−ky-k² = r².

Example: Special right triangles 45−45−90and30−60−9045-45-90 and 30-60-90 have specific side length relationships.

Vocabulary: Growth and decay formula A=P1+r1+rᵗ where A is total amount, P is principal, r is rate, and t is time.

Highlight: Interior angle sum formula for polygons is 180n−2n-2, where n represents the number of sides.

SAT Formula list. 1 Percent Change formula Use the formula below to find the percent change. between two numbers. 1 final-initial x 100 =% c

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

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 final−initialfinal-initial/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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Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

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Elisha

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This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user

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.

Stefan S

iOS user

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.

Samantha Klich

Android user

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.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user