Questions and Answers
What are Arithmetic Operations?
What do Properties of Inequalities refer to?
Rules that govern the relations between quantities.
What are Properties of Absolute Values?
Rules that describe how absolute values behave.
What are Exponents Properties?
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What is the Distance Formula?
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What are Complex Numbers?
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What are Properties of Radicals?
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What are Logarithm Properties?
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What is the Quad Formula?
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What is the Square Root Property?
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What are Absolute Value Equations?
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What does Completing Square refer to?
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What is a Constant Function?
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What is a Linear Function?
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What are Parent Function Graphs?
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Study Notes
Operatiónes Aritmétic
- Operatiónes fundamental in algebra: addition, subtraction, multiplication, e division.
- Essential pro resolver equatiónes e calcular valores.
Proprietates de Inequalitates
- Respectar tre principi: transitive, additive, e multiplicative.
- Inversion de signo quando multiplicando o dividendo per un número negative.
Proprietates de Valores Absolutos
- |x| = x pro x ≥ 0; |x| = -x pro x < 0.
- Usar pro determinar distántia in un linea numerical.
Proprietates de Exponentes
- x^m * x^n = x^(m+n)
- (x^m)^n = x^(m*n)
- x^m / x^n = x^(m-n)
Formula de Distántia
- D = √((x₂ - x₁)² + (y₂ - y₁)²)
- Usar pro calcular distántia inter duo punctos in un plano cartesiano.
Numeros Complexos
- Formúlate como a + bi, ubi a e b sono numeri real.
- Utilization de i pro representar √(-1).
Proprietates de Radicálias
- √(a*b) = √a * √b.
- √(a/b) = √a / √b, pro b ≠ 0.
- Radicálias puede esser simplificate.
Proprietates de Logarithmos
- log_b(m*n) = log_b(m) + log_b(n)
- log_b(m/n) = log_b(m) - log_b(n)
- log_b(m^k) = k * log_b(m)
Formula Quadrática
- x = (-b ± √(b² - 4ac)) / (2a)
- Usar pro resolver équations quadráticas de forma ax² + bx + c = 0.
Proprietá de Radice Quadrate
- Se x² = a, tunc x = ±√a.
- Usar pro determinar radices quadrat ín equatiónes.
Equatiónes de Valor Absoluto
- |x| = a implica duas solutiones: x = a e x = -a.
- Utilización in problematica de distántia.
Completátion de Quadrato
- Transformar un polinomio de forma ax² + bx + c ad (x + p)² + q.
- Usar pro facilitar solutiones via la formula quadrática.
Function Constante
- A function ubi output es independent del input: f(x) = c.
- Grafica es un linea horizontal.
Function Lineár
- Formá f(x) = mx + b, ubi m es slope e b es intercepto.
- Representa relation linear inter duo variábles.
Grafícas de Functiones Parent
- Grafícas de functiones fundamental como linear, quadrática, e cubic.
- Es important pro comprender comportament de functiones in algebra.
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Description
Este quiz consiste de flashcards que covere diversos aspectos del algebra, includente operaciones arithmeticas, propriedades de desigualdades, y numeros complexos. Utilisa estas flashcards para reforzar tu comprehension de conceptos clave en algebra.
