Algebra Formulas Flashcards

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

Questions and Answers

What is the Slope-Intercept Form?

  • y = mx + b (correct)
  • y - y₁ = m(x - x₁)
  • Ax + By = C
  • h = -16t² + vt + s

What is the Point-Slope Form?

y - y₁ = m(x - x₁)

What is the Standard Form of a linear equation?

Ax + By = C

What is the formula for the Quadratic Formula?

Signup and view all the answers

What is the Distance Formula?

Signup and view all the answers

What is the Midpoint Formula?

Signup and view all the answers

What is the Vertical Motion Model formula?

<p>h = -16t² + vt + s</p> Signup and view all the answers

What does the Pythagorean Theorem state?

<p>a² + b² = c²</p> Signup and view all the answers

What is the X-Coordinate of the Vertex of a Quadratic?

Signup and view all the answers

Flashcards

Slope-Intercept Form

y = mx + b, where m is the slope and b is the y-intercept

Point-Slope Form

y - y₁ = m(x - x₁), uses a point (x₁, y₁) and slope (m).

Standard Form

Ax + By = C, where A, B, and C are constants.

Distance Formula

A formula to find the distance between two points (x₁, y₁) and (x₂, y₂).

Signup and view all the flashcards

Midpoint Formula

A formula to find the dead center point (x, y) between two points (x₁, y₁) and (x₂, y₂).

Signup and view all the flashcards

Vertical Motion Model

h = -16t² + vt + s, models height (h) over time (t), influenced by gravity.

Signup and view all the flashcards

Pythagorean Theorem

a² + b² = c², relates the sides of a right triangle.

Signup and view all the flashcards

Study Notes

Slope and Line Equations

  • Slope Formula: Used to determine the steepness of a line; denoted as m = (y₂ - y₁) / (x₂ - x₁).
  • Slope-Intercept Form: Represents linear equations in the form y = mx + b, where m is the slope and b is the y-intercept.
  • Point-Slope Form: A specific form for linear equations, expressed as y - y₁ = m(x - x₁), utilizes a known point (x₁, y₁) on the line.

Standard and Quadratic Forms

  • Standard Form: Represents linear equations in the format Ax + By = C, where A, B, and C are constants, often used for graphing.
  • Quadratic Formula: Used to find the roots of quadratic equations, given by x = (-b ± √(b² - 4ac)) / (2a).

Distance and Midpoint

  • Distance Formula: Calculates the distance between two points (x₁, y₁) and (x₂, y₂) as d = √((x₂ - x₁)² + (y₂ - y₁)²).
  • Midpoint Formula: Determines the exact midpoint between two points, calculated as M = ((x₁ + x₂)/2, (y₁ + y₂)/2).

Physics in Motion

  • Vertical Motion Model: Models the height of an object in free fall as h = -16t² + vt + s, where h is height, t is time, v is initial velocity, and s is initial height.

Geometry and Theorems

  • Pythagorean Theorem: Fundamental relation in Euclidean geometry for right triangles, expressed as a² + b² = c², relating the lengths of the sides.
  • X-Coordinate of Vertex of Quadratic: Determined using the formula x = -b/(2a), useful for finding the maximum or minimum point of a parabolic graph.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

More Like This

Algebra II Formulas Flashcards
32 questions

Algebra II Formulas Flashcards

BeneficialThermodynamics avatar
BeneficialThermodynamics
Algebra 1 Formula Sheet Flashcards
9 questions
Pre Algebra Formulas Flashcards
20 questions
Basic Algebra Formulas Flashcards
11 questions
Use Quizgecko on...
Browser
Browser