# EOC Algebra I Review

### 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)
• 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

Algebra I EOC Practice from Oconee Schools