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Algebra & Modeling - 36%


Functions & Modeling - 36%


Statistics, Probability, & the Numbering System - 28%


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What You Need To Know...

MAFS.912.A-CED.1.2 – create equations in two or more variables to represent relationships between quantities.

  1. The benchmark will be assessed using Equation Response, Graphic Response, Hot Spot Response, Multiple Choice Response or Multi-select Response.
  2. Items may include systems of linear equations or a system including a linear and a quadratic equation in two variables.  Students may need to solve algebraically and graphically.
  3. Items may require students to represent constraints and to interpret solutions as viable and non-viable.
  4. Systems are limited to a system of 2 x 2 linear equations with rational coefficients; a system of 3 x 3 linear equations with rational coefficients; or a system of two equations with a linear equation with rational coefficients and a quadratic of the form.
  5. Students may be required to graph a circle whose center is (0, 0).

Example One

Example Two

Isaac is getting his own cell phone plan and wants to make the best decision. He decides to compare cell phone plans. MobileONE has an unlimited talk plan for a flat fee of $80 per month. Talk-A-Lot charges $0.15 per minute with a monthly fee of $25.  By-The-Minute has no monthly fee, but it is $0.50 per minute. 

Explain to Isaac how he can graph these cell phone plans and, describe what key features of the graphs he should consider when making a decision about what plan to choose.


Example Three

Line j passes through points (8, 4) and (6, 10). Line k is perpendicular to j.  What is the slope of line k?


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Additional Examples

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Slope-Intercept Form
Point-Slope Form
Standard Form
Parallel Lines
Perpendicular Lines
Linear from Table
More from Tables
Linear Real-Life Scenario
Solving Systems by Graphing
Solving Systems by Elimination
Solving Systems by Substitution
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Systems of Inequalities
3 Variable Systems
Exponentials with Tables
Exponential Real-World
Quadratics from Tables
Real-World Quadratics
Quadratic Systems

Reference Sheet