**Sample Related End-of-Course (EOC) Questions** (download DOC | PDF)

These sample questions, selected from state end-of-course exams, cover the same algebraic concepts explored in this lesson. ** **

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**Common Core State Standards 2010**

**[Note: You may also wish to view Pathways 1 and 2 for Algebra I connections in the CCSS]**

**Algebra Overview**

- Seeing Structure in Expressions
- Interpret the structure of expressions
- Write expressions in equivalent forms to solve problems

- Arithmetic with Polynomials and Rational Functions
- Perform arithmetic operations on polynomials
- Use polynomial identities to solve problems
- Rewrite rational functions

- Creating Equations
- Create equations that describe numbers or relationships

- Reasoning with Equations and Inequalities
- Understand solving equations as a process of reasoning and explain the reasoning
- Solve equations and inequalities in one variable

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**Functions Overview**

- Interpreting Functions
- Interpret functions that arise in applications in terms of the context
- Analyze functions using different representations

- Interpret functions that arise in applications in terms of the context
- Building Functions
- Build a function that models a relationship between two quantities
- Build new functions from existing functions

- Build a function that models a relationship between two quantities
- Linear, Quadratic, and Exponential Models
- Interpret expressions for functions in terms of the situation they model

- Interpret expressions for functions in terms of the situation they model

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**Modeling Standards**

Modeling is best interpreted not as a collection of isolated topics but rather in relation to other standards. Making mathematical models is a Standard for Mathematical Practice.

**Mathematical Practices**

- Make sense of problems and persevere in solving them.
- Reason abstractly and quantitatively.
- Construct viable arguments and critique the reasoning of others.
- Model with mathematics.
- Use appropriate tools strategically.
- Attend to precision.
- Look for and make use of structure.
- Look for and express regularity in repeated reasoning.

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**American Diploma Project: Algebra I**

Students will be able to represent and solve problems in the following areas:

**O: Operations on Numbers and Expressions**

O1. Number Sense and Operations

O1.a Reasoning with real numbers

O1.b Using ratios, rates, and proportions

O2. Algebraic Expressions

O2.b Operating with polynomial expressions

O2.c Factoring polynomial expressions

**L: Linear Relationships**

L1. Linear Functions

L1.a Representing linear functions in multiple ways

L1.b Analyzing linear function

L1.d Using linear models

L2. Linear Equations and Inequalities

L2.a Solving linear equations (and inequalities)

L2.e Modeling with single variable linear equations