Questions and Answers
What is the Slope-Intercept Form?
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?
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What is the Distance Formula?
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What is the Midpoint Formula?
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What is the Vertical Motion Model formula?
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What does the Pythagorean Theorem state?
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What is the X-Coordinate of the Vertex of a Quadratic?
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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.
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Description
Test your knowledge of essential algebra formulas with these flashcards. Each card features a key formula, such as the Slope Formula and Quadratic Formula, along with its definition. Perfect for students looking to reinforce their understanding of algebra concepts.
