# ORELA Mathematics: Practice & Study Guide

Updated May 30, 2023

### Course Summary

Oregon has replaced the ORELA Mathematics exam with the National Evaluation Series (NES) Mathematics test. This course offers engaging video lessons and brief quizzes with questions similar to those found on the exam to help you quickly and easily get up to speed. You can also use the [NES Mathematics Study Guide|https://study.com/academy/course/nes-mathematics-test-practice-study-guide.html] to prepare.

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### Lesson Sample

ORELA Mathematics: Practice & Study Guide 530K views 7 min

45 hours of educational videos

447 self-paced lessons

58 practice tests

Expert Contributor: Luke Winspur

Luke has taught high school algebra and geometry, college calculus, and has a master's degree in education.

#### 58 chapters in ORELA Mathematics: Practice & Study Guide

Course Practice Test

Check your knowledge of this course with a 50 question practice test.
• Comprehensive test covering all topics
• Take multiple tests with new questions to assess your comprehension
• Detailed video explanations for wrong answers
Ch 1. ORELA Math: Properties of Real Numbers
Course Progress Best Score
What are the Different Types of Numbers?
There are different types or families of numbers. Learn how to identify natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. Take Quiz
Graphing Rational Numbers on a Number Line
The Commutative Property: Definition and Examples
The Associative Property: Definition and Examples
The Multiplication Property of Zero: Definition & Examples
How to Find the Greatest Common Factor
How to Find the Least Common Multiple
What Is The Order of Operations in Math? - Definition & Examples
How to Find the Prime Factorization of a Number
Course Progress Best Score
Linear Equations: Intercepts, Standard Form and Graphing
How to Find and Apply The Slope of a Line
How to Find and Apply the Intercepts of a Line
Graphing Undefined Slope, Zero Slope and More
Equation of a Line Using Point-Slope Formula
Defining, Translating, & Solving One-Step Equations
Solving Equations Using the Addition Principle
Solving Equations Using the Multiplication Principle
Collecting Like Terms On One Side of an Equation
Solving Equations with Infinite Solutions or No Solutions
How to Solve Equations with Multiple Steps
Course Progress Best Score
Compare Properties of Functions Algebraically
Compare Properties of Functions Graphically
Compare Properties of Functions Numerically
Transformations: How to Shift Graphs on a Plane
What Is Domain and Range in a Function?
How to Add, Subtract, Multiply and Divide Functions
How to Compose Functions
Domain & Range of Composite Functions: Definition & Examples
Compounding Functions and Graphing Functions of Functions
Inverse Functions
Understanding and Graphing the Inverse Function
Recognizing Symmetry Graphically, Algebraically, and Numerically About the X-axis and Y-axis
Recognizing Symmetry Graphically, Algebraically & Numerically About the Origin
Even & Odd Functions: Definition & Examples
Course Progress Best Score
What Is an Exponential Function?
Exponential Growth vs. Decay
Compounding Interest Formulas: Calculations & Examples
What is a Logarithm?
How to Evaluate Logarithms
Logarithmic Properties
Practice Problems for Logarithmic Properties
How to Solve Exponential Equations
How to Solve Logarithmic Equations
How to Graph Logarithms: Transformations and Effects on Domain/Range
Transformation of Exponential Functions: Examples & Summary
Using the Change-of-Base Formula for Logarithms: Definition & Example
Course Progress Best Score
Triangles: Definition and Properties
Area of Triangles and Rectangles
Classifying Triangles by Angles and Sides
Perimeter of Triangles and Rectangles
Interior and Exterior Angles of Triangles: Definition & Examples
How to Identify Similar Triangles
Median, Altitude, and Angle Bisectors of a Triangle
Properties of Concurrent Lines in a Triangle
Properties of Right Triangles: Theorems & Proofs
The Pythagorean Theorem: Practice and Application
The Pythagorean Theorem: Converse and Special Cases
Course Progress Best Score
Triangle Congruence Postulates: SAS, ASA & SSS
Congruence Proofs: Corresponding Parts of Congruent Triangles
Converse of a Statement: Explanation and Example
Practice Proving Relationships using Congruence & Similarity
The AAS (Angle-Angle-Side) Theorem: Proof and Examples
The HA (Hypotenuse Angle) Theorem: Proof, Explanation, & Examples
The HL (Hypotenuse Leg) Theorem: Definition, Proof, & Examples
Perpendicular Bisector Theorem: Proof and Example
Angle Bisector Theorem: Proof and Example
Congruency of Right Triangles: Definition of LA and LL Theorems
Congruency of Isosceles Triangles: Proving the Theorem
Course Progress Best Score
Introduction to Sequences: Finite and Infinite
Arithmetic Sequences: Definition & Finding the Common Difference
How and Why to Use the General Term of an Arithmetic Sequence
The Sum of the First n Terms of an Arithmetic Sequence
Understanding Arithmetic Series in Algebra
Working with Geometric Sequences
How and Why to Use the General Term of a Geometric Sequence
The Sum of the First n Terms of a Geometric Sequence
Understand the Formula for Infinite Geometric Series
Using Recursive Rules for Arithmetic, Algebraic & Geometric Sequences
Course Progress Best Score
Descriptive & Inferential Statistics: Definition, Differences & Examples
Difference between Populations & Samples in Statistics
Defining the Difference between Parameters & Statistics
Estimating a Parameter from Sample Data: Process & Examples
What is Quantitative Data? - Definition & Examples
What is Categorical Data? - Definition & Examples
Discrete & Continuous Data: Definition & Examples
Nominal, Ordinal, Interval & Ratio Measurements: Definition & Examples
The Purpose of Statistical Models
Experiments vs Observational Studies: Definition, Differences & Examples
Random Selection & Random Allocation: Differences, Benefits & Examples
Convenience Sampling in Statistics: Definition & Limitations
Course Progress Best Score
What is the Center in a Data Set? - Definition & Options
Mean, Median & Mode: Measures of Central Tendency
Mean, Median, Mode & Range
Visual Representations of a Data Set: Shape, Symmetry & Skewness
Measures of Dispersion and Skewness
Unimodal & Bimodal Distributions: Definition & Examples
Spread in Data Sets: Definition & Example
Maximums, Minimums & Outliers in a Data Set
Quartiles & the Interquartile Range: Definition, Formulate & Examples
Finding Percentiles in a Data Set: Formula & Examples
Calculating the Standard Deviation
The Effect of Linear Transformations on Measures of Center & Spread
Population & Sample Variance: Definition, Formula & Examples
Course Progress Best Score
Events as Subsets of a Sample Space: Definition & Example
Probability of Simple, Compound and Complementary Events
Probability of Independent and Dependent Events
How to Calculate Simple Conditional Probabilities
The Relationship Between Conditional Probabilities & Independence
The Addition Rule of Probability: Definition & Examples
The Multiplication Rule of Probability: Definition & Examples
How to Use the Fundamental Counting Principle
Math Combinations: Formula and Example Problems
How to Calculate a Permutation
How to Calculate the Probability of Permutations
Course Progress Best Score
Random Variables: Definition, Types & Examples
Finding & Interpreting the Expected Value of a Discrete Random Variable
Developing Discrete Probability Distributions Theoretically & Finding Expected Values
Developing Discrete Probability Distributions Empirically & Finding Expected Values
Binomial Experiments: Definition, Characteristics & Examples
Finding Binomial Probabilities Using Formulas: Process & Examples
Finding Binomial Probabilities Using Tables
Mean & Standard Deviation of a Binomial Random Variable: Formula & Example
Solving Problems with Binomial Experiments: Steps & Example
Course Progress Best Score
Flashcards - ORELA Math: Properties of Real Numbers
Flashcards - ORELA Math: Ratios & Proportions
Flashcards - ORELA Math: Units of Measure & Conversions
Flashcards - ORELA Math: Reasoning
Flashcards - ORELA Math: Linear Equations
Flashcards - ORELA Math: Quadratic Equations
Flashcards - ORELA Math: Radical Expressions
Flashcards - ORELA Math: Systems of Equations
Flashcards - ORELA Math: Functions
Flashcards - ORELA Math: Exponential & Logarithmic Functions
Flashcards - ORELA Math: Limits
Flashcards - ORELA Math: Calculating Derivatives & Derivative Rules
Flashcards - ORELA Math: Integration Techniques
Flashcards - ORELA Math: Foundations of Geometry
Flashcards - ORELA Math: Geometric Figures
Flashcards - ORELA Math: Circles & Arc of a Circle
Flashcards - ORELA Math: Conic Sections
Flashcards - ORELA Math: Geometric Solids
Flashcards - ORELA Math: Graph Theory
Flashcards - ORELA Math: Set Theory
Flashcards - ORELA Math: Statistics Overview
Flashcards - ORELA Math: Summarizing Data
Flashcards - ORELA Math: Probability
Flashcards - ORELA Math: Continuous Probability Distributions
Flashcards - ORELA Math: Sampling
Flashcards - ORELA Math: Regression & Correlation

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Practice Tests in this course
Check your knowledge of this course with a 50 to 2139 question practice test. Once you take the test, you will receive a detailed exam report complete with your personal statistics and even specific lessons to focus on! Take the practice test now
Your detailed study guide will include:
• Answers and detailed explanations to each question
• Video lessons to explain complicated concepts
Course Practice Test

Course Practice Test

Check your knowledge of this course with a 50 question practice test.
• Comprehensive test covering all topics
• Take multiple tests with new questions to assess your comprehension
• Detailed video explanations for wrong answers
More practice by chapter
Ch. 58
ORELA Mathematics Flashcards

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