Algebra 2 Regents Review Packet PDF

Algebra 2 Regents Review Packet PDF Download

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Algebra 2 Regents Review Packet PDF Details
Algebra 2 Regents Review Packet
PDF Name Algebra 2 Regents Review Packet PDF
No. of Pages 126
PDF Size 23.98 MB
Language English
CategoryEducation & Jobs
Source pdfsource.org
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Algebra 2 Regents Review Packet

Dear readers, here we are posting Algebra 2 Regents Review Packet PDF for all of you. Algebra is one of the most important branches of mathematics. Arithmetical operations and formal manipulations are applied to abstract symbols rather than specific numbers in Algebra. Apart from being a vital part of our education system Algebra also plays a significant role in practical life.

If you are a student and want to learn about the history, tracing the evolution over time of the concept of the equation, number systems, symbols for conveying and manipulating mathematical statements, and the modern abstract structural view of algebra then you should practice it to explore the various aspects of Algebra.

Algebra 2 Regents Review Packet PDF

Category #1: Algebra

The Algebra category accounts for 35%-44% of the Algebra 2 Regents exam. Algebra is the most important conceptual category for you to master in order to pass the Algebra 2 Regents exam.

Concepts You Should Understand:

  • Can you describe a finite geometric series?
  • Do you understand the Remainder Theorem?
  • Can you identify zeros of polynomials when suitable factorizations are available?
  • Can you prove polynomial identities?
  • Can you explain each step in solving a simple equation?
  • Can you construct a viable argument to justify a solution method?
  • Can you define the terms focus and directrix in the context of a parabola?

Skills You Should Master:

  • Can you use the structure of an expression to identify ways to rewrite it?
  • Can you factor a quadratic expression to reveal the zeros of a function?
  • Can you complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines?
  • Can you derive the formula for the sum of a finite geometric series and use the formula to solve problems?
  • Can you apply the Remainder Theorem to solve problems?
  • Can you use the zeros of polynomials to construct a rough graph of the function defined by the polynomial?
  • Can you use polynomial identities to describe numerical relationships?
  • Can you rewrite simple rational expressions in different forms using inspection, long division, or a computer algebra system?
  • Can you create equations and inequalities in one variable and use them to solve problems?
  • Can you solve simple rational and radical equations in one variable?
  • Can you give examples showing how extraneous solutions may arise from simple rational and radical equations?
  • Can you solve quadratic equations in one variable (using completing the square or inspection)?
  • Can you solve systems of linear equations exactly and approximately?
  • Can you solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically?
  • Can you explain how to find the solution(s) to two graphs that intersect?
  • Can you derive the equation of a parabola given a focus and directrix?

Category #2: Functions

The Functions category accounts for 30%-40% of the Algebra 2 Regents exam. Functions is the second most important conceptual category for you to master in order to pass the Algebra 2 Regents exam.

There are many similarities between the Functions category and the Algebra category, so students often review the Algebra and Functions categories together.

Concepts You Should Understand:

  • Do you recognize that sequences are functions whose domain is a subset of integers?
  • Can you interpret key features of graphs and tables in terms of the relationship between two quantities?
  • Can you interpret the average rate of change of a function over a specified interval?
  • Can you identify the percent rate of change in functions and classify them as representing either exponential growth or decay?
  • Can you compare properties of two functions represented in different ways (such as algebraically, graphically, numerically in tables, or by verbal descriptions)?
  • Are you able to identify the effect on a transformed graph for specific k values?
  • Can you identify whether a function is odd or even from its graph?
  • Given a real-life context, can you interpret the parameters in a linear or exponential function?
  • Do you understand radian measurements of angle?
  • Can you explain the unit circle?
  • Can you prove the Pythagorean identity sin^2 { (\theta)} + cos^2 {(\theta)} = 1 and use it to solve problems?

Skills You Should Master:

  • Can you sketch graphs of a function based on verbal description of a relationship between two quantities?
  • Given a graph of a function, can you find the intercepts, intervals where the function is increasing, decreasing, positive, or negative, the relative maximums and minimums, symmetries, and end behavior?
  • Can you calculate the average rate of change of a function presented symbolically or as a table over a specified interval?
  • Can you estimate a function’s rate of change from a graph?
  • Can you graph polynomial functions, identifying zeros and showing end behavior?
  • Can you graph exponential and logarithmic functions, showing intercepts and end behavior?
  • Can you graph trigonometric functions, showing period, midline, and amplitude?
  • Can you use the properties of exponents to interpret expressions for exponential functions?
  • Given a relationship between two quantities, can you determine an explicit expression, a recursive process, or steps for calculation from a context?
  • Can you combine standard function types using arithmetic operations?
  • Can you write arithmetic and geometric sequences both recursively and with an explicit formula?
  • Can you translate between arithmetic and geometric forms of sequences?
  • Can you find the k value of a function given the original and transformed graphs?
  • Can you solve an equation of them form f(x) = c for a simple function f that has an inverse and write an expression for the inverse?
  • Can you construct linear and exponential (including sequences) functions given a graph, a description of the relationship, or two input-output pairs?
  • Can you solve exponential equations using logarithms?
  • Can you evaluate logarithms?
  • Can you select trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline?

Category #3: Statistics & Probability

The Statistics & Probability category accounts for 14%-21% of the Algebra 2 Regents exam. This category is the third most important conceptual category for you to master in order to pass the Algebra 2 Regents exam.

Concepts You Should Understand:

  • Can you describe what standard deviation means?
  • Can you recognize that some data sets are not appropriate for fitting to a normal curve?
  • Do you understand statistics as a process for making inferences based on a random sample?
  • Can you decide if a specific model is consistent with results from a given data-generation process?
  • Can you recognize the purposes of and differences among sample surveys, experiments, and observational studies?
  • Can you compare two treatments using data from a randomized experiment?
  • Can you evaluate reports based on data?
  • Can you describe events as subsets of a sample space?
  • Can you describe what is required for two events to be statistically independent?
  • Do you understand conditional probability?
  • Can you explain conditional probability and independence in everyday language?

Skills You Should Master:

  • Can you use the mean and standard deviation of a data set to fit it to a normal distribution and estimate population percentages?
  • Can you use calculators, spreadsheets, and tables to estimate areas under the normal curve?
  • Can you use functions (especially linear, quadratic, and exponential) fitted to data to solve problems in a real-world context?
  • Can you use data from a sample survey to estimate a population mean or proportion?
  • Can you develop a margin of error through the use of simulations?
  • Can you use two-way frequency tables to answer statistical questions?
  • Can you find the conditional probability of A given B?
  • Can you apply the Addition Rule of statistics and interpret the answer in terms of the model?

Category #4: Number & Quantity

The Number & Quantity category accounts for 5%-12% of the Algebra 2 Regents exam. This category is the fourth most important conceptual category for you to master in order to pass the Algebra 2 Regents exam.

Students taking the Algebra 2 Regents exam are generally not asked many questions in this category, but mastering the topics in Number & Quantity will help you maximize every point possible on your final exam score.

Concepts You Should Understand:

  • Can you explain how rational exponents work?
  • Can you define appropriate quantities for descriptive modeling?
  • Do you recognize the complex number I and can you write complex numbers if the correct form?

Skills You Should Master:

  • Can you rewrite expressions involving radicals and rational exponents using the properties of exponents?
  • Can you add, subtract, and multiply complex numbers?
  • Can you solve quadratic equations with real coefficients that have complex solutions?

You can download Algebra 2 Regents Review Packet PDF by clicking on the following download button.


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