EOC Algebra I Review

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

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.)

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)

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

Louisiana Constructed Response Items: Water Spray; Falling Rock Function

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

Stark Science