NY Regents Exam  Integrated Algebra: Test Prep & Practice
About the Course
If you're a high school student in New York State, you need to earn a Regents Diploma to satisfy graduation requirements. This includes passing Regents Exams in each of the following topics: comprehensive English, mathematics, global history, U.S. history and science. For your math exam, you can choose to focus on integrated algebra, geometry or algebra 2/trigonometry, unless you're seeking a Regents Diploma with Advanced Designation, in which case you'll need to pass all three math exams.
We called on our team of experienced professional math instructors to put together this online study guide for the Integrated Algebra Regents Exam. Our brief video lessons provide a refresher on decimals and fractions, exponents, algebraic distribution and functions. You'll be reminded how to factor by grouping, graph functions and solve problems involving Venn diagrams. You'll also review the basics of trigonometry and wellknown equations, such as the quadratic formula and the absolutevalue inequality. Other topics covered in this chapter on integrated algebra include the following:
 Number theory and basic arithmetic
 Radical expressions and equations
 Algebraic linear equations and inequalities
 Matrices and absolute value
 Quadratics and polynomials
 Rational expressions
 Calculations with ratios, percentages and proportions
 Probability and statistics
 Working with data
 Measurement and geometry for algebra students
The Integrated Algebra Regents Exam features around 40 questions, which are a mixture of multiple choice and constructed response. You'll be provided with a ruler and a graphing calculator to complete this exam, which has a 3hour time limit. The Integrated Algebra Regents Exam is offered in January, June and August.
Integrated Algebra Regents Exam Preparation
Each lesson in this integrated algebra study guide features a video presentation, written transcript and selfassessment quiz. The video lessons can be watched in just 510 minutes, and their light, easytofollow manner makes reviewing for the Regents Exam easy and fun. The transcripts are a great option for students who learn best by reading, and even if you've also watched the video, they can help reinforce what you've learned. You can complete each lesson by taking the short, multiplechoice quiz; the quiz questions are designed to resemble what you'll see on the Regents Exam.
Integrated Algebra Regents Exam Scoring
Multiplechoice questions on the Integrated Algebra Regents Exam are worth two points each, while constructedresponse questions count for 24 points, depending on the complexity of the question. Teachers who score the exam use a rubric for the constructedresponse questions, and in some cases, you can earn partial credit for a wrong answer as long as you've shown your work. The integrated algebra test is scored on a 100point scale. You need at least a 65 to qualify for a Regents Diploma.
NY Regents is a registered trademark of New York State Education Department, which is not affiliated with Education Portal.
100% developed This course is fully developed. You can use the lessons in this course to study for exams and supplement your learning right now.
Course Chapters
 1. Number Theory & Basic Arithmetic
 2. Problems with Decimals and Fractions
 3. Problems with Percents
 4. Problems with Exponents
 5. Problems with Exponential Expressions
 6. Problems with Radical Expressions & Equations
 7. Problems with Algebraic Expressions and Equations
 8. Distributing Terms in Algebra
Number Theory & Basic Arithmetic
All Videos in Number Theory & Basic Arithmetic
 1. What are the Different Types of Numbers?
 2. What Is a Number Line?
 3. Graphing Rational Numbers on a Number Line
 4. Notation for Rational Numbers, Fractions & Decimals
 5. The Order of Real Numbers: Inequalities
 6. Finding the Absolute Value of a Real Number
 7. Binary and NonBinary Operations
 8. Arithmetic Calculations with Signed Numbers
 9. The Commutative Property: Definition and Examples
 10. The Associative Property: Definition and Examples
 11. The Multiplication Property of Zero: Definition & Examples
 12. How to Find the Greatest Common Factor
 13. How to Find the Least Common Multiple
 14. Parentheses in Math: Rules & Examples
 15. Algebra Vocabulary Terms
 16. What Is The Order of Operations in Math?  Definition & Examples
Problems with Decimals and Fractions
All Videos in Problems with Decimals and Fractions
 1. Arithmetic with Decimal Numbers
 2. How to Estimate with Decimals to Solve Math Problems
 3. How to Build and Reduce Fractions
 4. How to Find Least Common Denominators
 5. Comparing and Ordering Fractions
 6. Changing between Improper Fraction and Mixed Number Form
 7. How to Add and Subtract Like Fractions and Mixed Numbers
 8. How to Add and Subtract Unlike Fractions and Mixed Numbers
 9. Multiplying Fractions and Mixed Numbers
 10. Dividing Fractions and Mixed Numbers
 11. Practice with Fraction and Mixed Number Arithmetic
 12. Estimation Problems using Fractions
 13. Solving Problems using Fractions and Mixed Numbers
 14. How to Solve Complex Fractions
 15. Using the Number Line to Compare Decimals, Fractions, and Whole Numbers
 16. How to Simplify Word Problems with Fractions Using Whole Numbers
Problems with Exponents
All Videos in Problems with Exponents
 1. Scientific Notation: Definition and Examples
 2. What Are the Five Main Exponent Properties?
 3. How to Define a Zero and Negative Exponent
 4. How to Simplify Expressions with Exponents
 5. Rational Exponents
 6. Simplifying Expressions with Rational Exponents
 7. Power of Powers: Simplifying Exponential Expressions
Problems with Exponential Expressions
All Videos in Problems with Exponential Expressions
Problems with Radical Expressions & Equations
All Videos in Problems with Radical Expressions & Equations
 1. Estimating Square Roots
 2. Evaluating Square Roots of Perfect Squares
 3. Simplifying Square Roots When not a Perfect Square
 4. Simplifying Expressions Containing Square Roots
 5. Simplify Square Roots of Quotients
 6. Rationalizing Denominators in Radical Expressions
 7. Addition and Subtraction Using Radical Notation
 8. Multiplying Radical Expressions with Two or More Terms
 9. Solving Radical Equations: Steps and Examples
 10. Solving Radical Equations with Two Radical Terms
Problems with Algebraic Expressions and Equations
All Videos in Problems with Algebraic Expressions and Equations
 1. Expressing Relationships as Algebraic Expressions
 2. Evaluating Simple Algebraic Expressions
 3. Combining Like Terms in Algebraic Expressions
 4. Practice Simplifying Algebraic Expressions
 5. Negative Signs and Simplifying Algebraic Expressions
 6. Writing Equations with Inequalities: Open Sentences and True/False Statements
 7. Common Algebraic Equations: Linear, Quadratic, Polynomial, and More
 8. Defining, Translating, & Solving OneStep Equations
 9. Solving Equations Using the Addition Principle
 10. Solving Equations Using the Multiplication Principle
 11. Solving Equations Using Both Addition and Multiplication Principles
 12. Collecting Like Terms On One Side of an Equation
 13. Solving Equations Containing Parentheses
 14. Translating Words to Algebraic Expressions
 15. How to Solve OneStep Algebra Equations in Word Problems
 16. How to Solve Equations with Multiple Steps
 17. How to Solve MultiStep Algebra Equations in Word Problems
Algebraic Linear Equations & Inequalities
All Videos in Algebraic Linear Equations & Inequalities
 1. What is a Linear Equation?
 2. How to Write a Linear Equation
 3. Solving Linear Equations: Practice Problems
 4. Solving Linear Equations with Literal Coefficients
 5. Problem solving using Linear Equations
 6. What is a System of Equations?
 7. How Do I Use a System of Equations?
 8. Solving a System of Equations with Two Unknowns
 9. Solving Problems involving Systems of Equations
 10. What is an Inequality?
 11. Solving Linear Inequalities: Practice Problems
Matrices and Absolute Value
All Videos in Matrices and Absolute Value
 1. What is a Matrix?
 2. How to Take a Determinant of a Matrix
 3. What is an Absolute Value?
 4. How to Evaluate Absolute Value Expressions
 5. How to Solve an Absolute Value Equation
 6. Solving Absolute Value Practice Problems
 7. How to Graph an Absolute Value and Do Transformations
 8. Graphing Absolute Value Equations: Dilations and Reflections
Overview of Functions
All Videos in Overview of Functions
Factoring with Variables
All Videos in Factoring with Variables
Quadratics & Polynomials
All Videos in Quadratics & Polynomials
 1. Solving Quadratics: Assigning the Greatest Common Factor and Multiplication Property of Zero
 2. How to Use the Quadratic Formula to Solve a Quadratic Equation
 3. How to Solve Quadratics That Are Not in Standard Form
 4. Solving Quadratic Inequalities Using Two Binomials
 5. Multiplying Binomials Using FOIL & the Area Method: Practice Problems
 6. How to Factor Quadratic Equations: FOIL in Reverse
 7. Factoring Quadratic Equations: Polynomial Problems with a Non1 Leading Coefficient
 8. Solving Quadratic Trinomials by Factoring
 9. How to Complete the Square
 10. Completing the Square Practice Problems
 11. How to Solve a Quadratic Equation by Factoring
 12. How to Divide Polynomials with Long Division
 13. How to Use Synthetic Division to Divide Polynomials
 14. Dividing Polynomials with Long and Synthetic Division: Practice Problems
 15. Operations with Polynomials in Several Variables
Rational Expressions
All Videos in Rational Expressions
Graphing Functions
All Videos in Graphing Functions
 1. What Are the Different Parts of a Graph?
 2. Graph Functions by Plotting Points
 3. Identify Where a Function is Linear, Increasing or Decreasing, Positive or Negative
 4. How to Find and Apply The Slope of a Line
 5. How to Find and Apply the Intercepts of a Line
 6. Graphing Undefined Slope, Zero Slope and More
 7. Equation of a Line Using PointSlope Formula
 8. How to Use The Distance Formula
 9. How to Use The Midpoint Formula
 10. What is a Parabola?
 11. Parabolas in Standard, Intercept, and Vertex Form
 12. How to Graph Cubics, Quartics, Quintics and Beyond
Calculations with Ratios, Percent & Proportions
All Videos in Calculations with Ratios, Percent & Proportions
 1. Ratios & Rates: Definitions & Examples
 2. How to Solve Problems with Money
 3. Proportion: Definition, Application & Examples
 4. Calculations with Ratios and Proportions
 5. Percents: Definition, Application & Examples
 6. How to Solve Word Problems That Use Percents
 7. How to Solve Interest Problems: Steps & Examples
 8. Compounding Interest Formulas: Calculations & Examples
 9. Taxes & Discounts: Calculations & Examples
 10. How to Solve Problems with Time
 11. Distance Formulas: Calculations & Examples
Sets
All Videos in Sets
 1. Mathematical Sets: Elements, Intersections & Unions
 2. Cardinality & Types of Subsets (Infinite, Finite, Equal, Empty)
 3. How to find the Cartesian Product
 4. Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union
 5. Categorical Propositions: Subject, Predicate, Equivalent & Infinite Sets
 6. How to Change Categorical Propositions to Standard Form
 7. What is a TwoWay Table?
Probability and Statistics
All Videos in Probability and Statistics
 1. Understanding Bar Graphs and Pie Charts
 2. How to Calculate Percent Increase with Relative & Cumulative Frequency Tables
 3. How to Calculate Mean, Median, Mode & Range
 4. Standard Deviation and Shifts in the Mean
 5. Probability of Simple, Compound and Complementary Events
 6. Probability of Independent and Dependent Events
 7. Either/Or Probability: Overlapping and NonOverlapping Events
 8. Probability of Independent Events: The 'At Least One' Rule
 9. How to Calculate Simple Conditional Probabilities
 10. Math Combinations: Formula and Example Problems
 11. How to Calculate the Probability of Combinations
 12. How to Calculate a Permutation
 13. How to Calculate the Probability of Permutations
Probability Mechanics
All Videos in Probability Mechanics
Working with Data
All Videos in Working with Data
 1. Statistical Analysis with Categorical Data
 2. Summarizing Categorical Data using Tables
 3. Make Estimates and Predictions from Categorical Data
 4. What is Quantitative Data?  Definition & Examples
 5. What is a Histogram in Math?  Definition & Examples
 6. What are Center, Shape, and Spread?
 7. Describing the Relationship between Two Quantitative Variables
 8. Reading and Interpreting Line Graphs
 9. Making Estimates and Predictions using Quantitative Data
 10. Creating & Interpreting Box Plots: Process & Examples
 11. What is Bivariate Data?  Definition & Examples
 12. Creating & Interpreting Scatterplots: Process & Examples
 13. Interpreting the Correlation Coefficient
 14. How to Interpret Correlations in Research Results
 15. The Relationship Between Variables: Correlation Coefficient & Scatterplots
WellKnown Equations
All Videos in WellKnown Equations
 1. Theory of Relativity: Definition & Example
 2. Pythagorean Theorem: Definition & Example
 3. The Value of e: Definition & Example
 4. Diameter and Circumference Related with Pi
 5. Isaac Newton's Formula for the Force of Gravity: Definition & Example
 6. Euler's Identity: Definition & Example
 7. Fermat's Last Theorem: Definition & Example
 8. Calculating Monthly Loan Payments
 9. The AbsoluteValue Inequality: Definition & Example
 10. The Quadratic Formula: Definition & Example
Intro to Trigonometry
All Videos in Intro to Trigonometry
 1. Trigonometry: Sine and Cosine
 2. Law of Sines: Definition and Application
 3. Law of Cosines: Definition and Application
 4. Graphing the Tangent Function: Amplitude, Period, Phase Shift & Vertical Shift
 5. Slopes and Tangents on a Graph
 6. Graphing Sine and Cosine Transformations
 7. Unit Circle: Memorizing the First Quadrant
 8. Properties of Right Triangles: Theorems & Proofs
 9. Special Right Triangles: Types and Properties
 10. The Double Angle Formula
 11. Converting Between Radians and Degrees
 12. How to Solve Trigonometric Equations for X
 13. List of the Basic Trig Identities
Measurement for Algebra Students
All Videos in Measurement for Algebra Students
 1. Standard Units of Measurement for Length, Weight, Time & Capacity
 2. How to Convert Standard Units of Measure
 3. How to Perform Basic Operations with Measurements
 4. What is the Metric System?
 5. How to Convert Units in the Metric System
 6. How to Take Measurements with Scales, Meters & Gauges
 7. How to Read and Interpret Scale Drawings
Geometry for Algebra Students
All Videos in Geometry for Algebra Students
 1. Points, Lines & Angles in Geometry
 2. Types of Angles: Vertical, Corresponding, Alternate Interior & Others
 3. Parallel, Perpendicular and Transverse Lines
 4. Properties of Shapes: Rectangles, Squares and Rhombuses
 5. Properties of Shapes: Quadrilaterals, Parallelograms, Trapezoids, Polygons
 6. Properties of Shapes: Triangles
 7. Properties of Shapes: Circles
 8. Perimeter of Triangles and Rectangles
 9. Area of Triangles and Rectangles
 10. Circles: Area and Circumference
 11. The Pythagorean Theorem: Practice and Application
 12. How to Identify Similar Triangles
 13. Applications of Similar Triangles
 14. Angles and Triangles: Practice Problems
 15. Vertical Angles & Complementary Angles: Definition & Examples
 16. Overview of Threedimensional Shapes in Geometry
 17. How to Calculate the Volumes of Basic Shapes
 18. Volume of Cylinders, Cones, and Spheres
 19. Volume of Prisms and Pyramids
 20. Applying Scale Factors to Perimeter, Area, and Volume of Similar Figures

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