Subjects

Math (SAT®)

Problem Solving and Data Analysis

Data Interpretation

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

Name: Knowunity
Brand: Knowunity

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

~Taffi~

@taffi

35 Followers

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

308

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,k).

Vocabulary: Discriminant (d=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.

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/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.

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-h)² + (y-k)² = r².

Example: Special right triangles (45-45-90 and 30-60-90) have specific side length relationships.

Vocabulary: Growth and decay formula A=P(1+r)ᵗ where A is total amount, P is principal, r is rate, and t is time.

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

View

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-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.

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying

Subjects

Math (SAT®)

Problem Solving and Data Analysis

Data Interpretation

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

~Taffi~

@taffi

35 Followers

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

308

10th/11th

Math (SAT®)

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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,k).

Vocabulary: Discriminant (d=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.

Sign up to see the content. It'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 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/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.

Sign up to see the content. It'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 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-h)² + (y-k)² = r².

Example: Special right triangles (45-45-90 and 30-60-90) have specific side length relationships.

Vocabulary: Growth and decay formula A=P(1+r)ᵗ where A is total amount, P is principal, r is rate, and t is time.

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

Sign up to see the content. It'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-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.

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User