PERT Formulas Flashcards

Questions and Answers

What is the formula for slope?

M = (y₂ - y₁) / (x₂ - x₁)

What is the formula for distance?

d = rt

What is the point-slope form of a line?

y - y₁ = m(x - x₁)

What is the standard form of a line?

Ax + By = C Signup and view all the answers

What is the slope-intercept form of a line?

y = mx + b Signup and view all the answers

What is the difference of squares formula?

x² - y² = (x + y)(x - y) Signup and view all the answers

What is the quadratic formula?

x = -b ± √(b² - 4ac) / 2a Signup and view all the answers

What is the imaginary unit?

i = √(-1) Signup and view all the answers

What is the distance formula?

d = √[(x₂ - x₁)² + (y₂ - y₁)²] Signup and view all the answers

What is the midpoint formula?

( (x₁ + x₂) / 2 , (y₁ + y₂) / 2 ) Signup and view all the answers

What is the Pythagorean theorem?

a² + b² = c² Signup and view all the answers

Study Notes

Formulas for Mathematical Concepts

Slope: Represents the rate of change; calculated as M = (y₂ - y₁)/(x₂ - x₁), indicating the vertical change over the horizontal change between two points on a line.
Distance Formula: Defines the distance traveled using the equation d = rt, where d is distance, r is the rate of speed, and t is the time.
Point-Slope Form: A way to express the equation of a line, given a point (x₁, y₁) and slope m; represented as y - y₁ = m(x - x₁).
Standard Form of a Line: Represents a linear equation in the format Ax + By = C, where A, B, and C are constants, and A should be a non-negative integer.
Slope-Intercept Form: The most common form of a linear equation, given as y = mx + b, where m represents the slope, and b is the y-intercept, allowing quick identification of both slope and intercepts.
Difference of Squares: A shortcut for factoring expressions that represent the difference between two squares, formulated as x² - y² = (x + y)(x - y).
Quadratic Formula: A solution method for quadratic equations of the form ax² + bx + c = 0; expressed as x = -b ± √(b² - 4ac) / 2a, where the discriminant (b² - 4ac) determines the nature of the roots.
Imaginary Numbers: Defined as the square root of negative one, denoted by i, playing a crucial role in complex number theory and solutions involving negatives under square roots.
Distance Formula (Coordinate Geometry): Measures the straight-line distance between two points in a plane via d = √[(x₂ - x₁)² + (y₂ - y₁)²], derived from the Pythagorean Theorem.
Midpoint Formula: Used to find the midpoint between two points (x₁, y₁) and (x₂, y₂) as ((x₁ + x₂)/2, (y₁ + y₂)/2), useful for geometry and coordinate calculations.
Pythagorean Theorem: A foundational principle in geometry stating that a² + b² = c², where c represents the hypotenuse of a right triangle, relating the lengths of its sides.

Description

Test your knowledge of essential PERT formulas with these flashcards. Each card covers a specific formula related to slope, distance, and line equations. Perfect for students looking to enhance their understanding of mathematical concepts and relationships.