Flashcards de Algebra
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Questions and Answers

What are Arithmetic Operations?

  • Addition, subtraction, multiplication, division (correct)
  • Only addition and subtraction
  • Only multiplication and division
  • None of the above

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?

<p>Rules for handling powers and exponents.</p> Signup and view all the answers

What is the Distance Formula?

<p>A formula to find the distance between two points in a coordinate plane.</p> Signup and view all the answers

What are Complex Numbers?

<p>Numbers that have a real part and an imaginary part.</p> Signup and view all the answers

What are Properties of Radicals?

<p>Rules that govern how to simplify and manipulate radical expressions.</p> Signup and view all the answers

What are Logarithm Properties?

<p>Rules for solving logarithmic expressions.</p> Signup and view all the answers

What is the Quad Formula?

<p>A formula for finding the roots of a quadratic equation.</p> Signup and view all the answers

What is the Square Root Property?

<p>A method used to solve equations by taking square roots.</p> Signup and view all the answers

What are Absolute Value Equations?

<p>Equations that contain absolute values.</p> Signup and view all the answers

What does Completing Square refer to?

<p>A method used to solve quadratic equations.</p> Signup and view all the answers

What is a Constant Function?

<p>A function that always returns the same value, regardless of the input.</p> Signup and view all the answers

What is a Linear Function?

<p>A function that graphs as a straight line.</p> Signup and view all the answers

What are Parent Function Graphs?

<p>The basic graphs of functions from which more complex graphs are derived.</p> Signup and view all the answers

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.

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