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8th Grade Diagnostic Exam — Algebra & Geometry

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8th Grade Diagnostic Exam — Algebra & Geometry

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Diagnostic questions (EN)

Created by

Andrea Gastelum
Andrea Gastelum
Mexico

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8th Grade Diagnostic Exam — Algebra & Geometry
 

8th Grade Diagnostic Exam — Algebra & GeometryOnline version

Diagnostic questions (EN)

by Andrea Gastelum
1

Jerarquía de Operaciones Compleja con Números con Signo: Determina el valor numérico exacto de la siguiente expresión, respetando estrictamente el orden operativo y las leyes de los signos: -5 - [ -3 + 2 x ( -4 - 1 )² ] =

2

Modelación Algebraica y Ecuaciones Lineales: Plantea una ecuación lineal para el siguiente enunciado y resuélvela para hallar el valor de la incógnita: "El triple del consecutivo de un número entero, más cinco unidades, es igual al doble de ese mismo número aumentado en 17 unidades. ¿Cuál es el número?"

3

Proporcionalidad Inversa y Análisis Situacional: Un equipo de 6 trabajadores igualmente eficientes tarda 12 días en pintar una escuela completa. Si debido a las condiciones climáticas el director necesita que el trabajo quede terminado en solo 4 días, ¿cuántos trabajadores adicionales se deberán contratar?

4

Geometría y Ecuaciones de la Circunferencia: Si el perímetro de un círculo mide exactamente 31.416 cm, calcula el valor de su área de superficie. (Utiliza π = 3.1416 y muestra los despejes necesarios para hallar primero la dimensión del radio)

5

Variación Lineal e Interpretación de Modelos: Una compañía de telefonía cobra una renta fija mensual de $100 y, adicionalmente, $2 por cada gigabyte (GB) de navegación utilizado. Escribe la función algebraica de la forma y = ax + b que representa esta situación y calcula cuánto pagará un usuario que consumió 15.5 GB en el mes.

 
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