### Topics for Review

The following topics represent the most important concepts to be assessed on the Louisiana EOC Algebra I.

#### Algebra (40%)

- Perform arithmetic operations on polynomials (add, subtract, multiply, divide)
- Find and explain relationship between zeros and factors of a polynomial
- Create equations and inequalities that describe numbers/relationships
- Use one-variable linear, quadratic, rational, and exponential functions to solve problems
- Write two-variable (or more) equations and graph them
- Represent constraints by a system of equations or inequalities and interpret solutions
- Rearrange formulas to solve for one variable

- Use reasoning to solve equations
- Explain each step in solving an equation
- Solve linear equations and one-variable inequalities (including equations with non-numeric coefficients)
- Solve quadratic equations
- Completing the square
- Taking square roots
- Factoring
- Quadratic formula (including complex roots)

- Represent and solve equations and inequalities graphically
- Graph equations in two-variables in the coordinate plane
- Explain why points of intersection are solutions to systems of equations; find the solutions approximately
- Graph and interpret systems of inequalities

- Interpret the structure of expressions
- Break down expressions into terms, factors, and coefficients
- Re-write expressions into equivalent forms (factoring, etc.)

#### Functions (35%)

- Understand the concept of a function and use function notation
- Explain how the domain of a function maps to the range
- Use function notation
- Evaluate functions and interpret statements that use function notation (e.g. f(3) )
- Understand that sequences are functions; use sequences

- Interpret functions in context
- Interpret key features of graphs and tables; sketch graphs; use terms such as intercepts, increasing/decreasing, positive/negative, maximum/minimum, symmetry, end behavior, periodicity
- Identify domain and range of a function in context
- Calculate and interpret rate of change (slope) of a function (symbolically or froma graph)

#### Statistics & Probability / Number & Quantity (25%)

- Model quantities and data sets with appropriate units, with appropriate precision
- Interpret linear models
- Interpret slope and intercept of a linear model
- Compute and interpret correlation coefficient of a linear fit
- Distinguish between correlation and causation

### Resources for Algebra I Review

Louisiana Algebra I EOC Sample Test Items

Louisiana Constructed Response Items: Water Spray; Falling Rock Function

North Carolina Released Algebra I EOC with answer key

Sample Algebra I EOC – Dade Schools

Function Carnival – practice using functions to represent actual situations

ck12 Online Algebra Textbook – lots of examples and problems

Khan Academy – video tutorials and practice problems on fundamental skills

**Illustrative Mathematics** – good sample problems in Algebra, Number and Quantity, Functions, and Statistics & Probability. (NOTE: Some of these are Algebra 2 standards, so be sure to choose Algebra I content.)

**Math Warehouse** – Math lessons and practice on all Algebra I topics.

**Opus Math** – scroll down to the Algebra and Function standards for lots of sample questions.

**Iowa Algebra I Released Test Items** – good practice, and feedback for right/wrong answers

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