Dorey Publications
Making Algebra Simple.
Math Tutorial Videos for Algebra 1
12/14/2024 - New Videos: We enhanced our section on Linear Function (Section 10) with 16 new tutorial videos!
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Section 1: Mathematics Essentials​
1.0 - Rounding & Truncating Numbers
1.1 - Calculating Relative Error
1.2 - Fractions - Multiplication & Division
1.3 - Fractions - Addition & Subtraction
1.4 - Order of Operations (Part 1)
1.5 - Order of Operations (Part 2)
1.6 - The Coordinate Plane
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Section 2: Absolute Value
2.0 - Solving Absolute Value Equations
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Section 3: Equations & Expressions (General)
3.0 - Commutative, Associative & Distributive Property
3.1 - True and False Equations, Properties of Equality
3.2 - Literal Equations
3.3 - Equations with Variables in Denominator
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Section 4: Systems of Equations
4.0 - Introduction to Systems of Equations & Their Solutions
4.1 - Solving Systems by Graphing
4.2 - Solving Systems on the TI-Nspire Calculator
4.2 - Solving Systems by Substitution
4.3 - Solving Systems by Elimination
4.4 - Writing Systems in Context
4.5 - Solving Word Problems with Systems
4.6 - Solving Quadratic - Linear Systems
4.7 - Solving Systems of Linear Inequalities
4.8 - Review of Systems of Equations
4.9 - Function Equality f(x)=g(x)
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Section 5: Quadratic Equations
5.0 - Solving Quadratic Equations by Factoring
5.0 - Solving Quadratic Equations by Factoring (with step-by-step factoring)
5.1 - Determining Factorability with the Discriminant
5.2 - Solving Quadratic Equations in Vertex Form
5.3 - Solving Quadratic Equations by Completing the Square
5.4 - Solving Quadratic Equations by Quadratic Formula
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Section 6: Exponents
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6.0 - Introduction to Exponents (2024)
6.1 - Multiplication with Exponents
6.2 - Raising Powers to Powers
OLD VIDEOS
6.0 - Introduction to Exponents (Positive, Negative, Zero)
6.1 - Multiplying & Dividing with Exponents
6.2 - Raising Powers to Powers
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Section 7: Factoring
7.0 - Greatest Common Factor (GCF)
7.1 - Difference of Two Perfect Squares
7.2 - Greatest Common Factor & Difference of Two Squares Combined
7.3 - Factor by Grouping
7.4 - Factor by Grouping with GCF & Difference of Squares
7.5 - Finding Numbers
7.6 - Quadratic Trinomials (Using Grid)
7.7 - Quadratic Trinomials (Without Grid)
7.8 - Quadratic Trinomials with GCF (Using Grid)
7.9 - The Discriminant (Test for Factorability)
7.10 - Quartic Trinomials (Using Grid)
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Section 8: Functions & Relations (General)
8.0 - Introduction to Functions & Relations
8.1 - Function Notation & Evaluating Functions
8.2 - Reading Inputs & Outputs From Graph
8.3 - Evaluating Functions From a Graph
8.4 - Features of Functions: Increasing & Decreasing (NO ARROWS)
8.5 - Features of Functions: Increasing & Decreasing (ARROWS)
8.6 - Features of Functions: Vertex
8.7 - Features of Functions: Zeroes
8.8 - Features of Functions: y-intercept, maximum & minimum
8.9 - Domain & Range - Part 1: Introduction / Mapping Diagrams / Ordered Pairs)
8.10 - Domain & Range - Part 2: Graphs
8.11 - Positive vs. Negative Outputs
8.12 - Calculator - Finding Zeroes & Vertex
8.13 - Average Rate of Change - Introduction
8.14 - Average Rate of Change - Graphs
8.15 - Average Rate of Change - Input/Output Tables
8.16 - Average Rate of Change - Equations of Functions
8.17 - Shifting Functions (Translations)
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Section 9: Functions, Exponential
9.0 - Introduction to Exponential Functions
9.1 - Writing Exponential Functions from Tables
9.3 - Percent Increase & Percent Decrease
9.4 - Identify Growth or Decay, and Percent of Increase or Decrease
9.5 - Modeling with Exponential Functions
9.6 - Graphs of Exponential Functions
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Section 10: Functions, Linear
10.00 - Solutions to Equations with Two Variables
10.01 - Finding a Missing Value in a Point given an Equation
10.02 - Linear vs. Non-Linear
10.03 - Introduction to Slope
10.04 - Reading Slope from a Graph
10.05 - Using the Slope Formula
10.06 - Graphing Linear Functions
10.07 - Rearranging Linear Functions
10.08 - Writing Equations of Linear Functions Part 1 (Slope-Intercept Form)
10.09 - Writing Equations of Linear Functions Part 2 (Slope-Intercept Form)
10.10 - Writing Equations of Linear Functions Part 3 (Point-Slope Form from Graph)
10.11 - Writing Equations of Linear Functions Part 4 (Point-Slope Form from Points)
10.12 - Modeling (Given Rate of Change & Intitial Amount)
10.13 - Modeling (Given Rate of Change & A Point)
10.14 - Modeling (Given Initial Amount & A Point)
10.15 - Modeling (Using Linear Models)
​10.15 - Interpreting Parameters of Linear Functions
10.16 - Horizontal & Vertical Lines
10.17 - Linear Inequalities
10.18 - Linear Inequalities (Horizontal & Vetical Lines)
10.19 - Modeling with Linear Inequalities
Other Linear Topics
10.20 - Parallel & Perpendicular Lines
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Section 11: Functions, Quadratic
​11.0 - Introduction to Quadratic Functions
11.1 - Leading Coefficient of Quadratic Function
11.2 - Vertex (Shifted) Form of Quadratic Function y=a(x+h)²+k
11.3 - Vertex Form - Converting to Vertex Form by Completing the Square
11.4 - Features of Quadratic Functions (Parabolas)
11.5 - Factored Form and x-intercepts (zeroes)
11.6 - Factored Form and y-Intercepts
11.7 - Various Forms of Quadratic Functions - Which is best for the information you want?
11.8 - Parabola Applications with TI-Nspire Calculator
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Section 12: Inequalities, Linear
12.0 - Inequalities & Compound Inequalities
12.1 - Set Builder Notation <<NO VIDEO>>
12.2 - Interval Notation
12.3 - Solving Inequalities (Linear)
12.4 - Solving Compound Inequalities (Linear)
12.5 - Inequalities in Word Problems (Linear)
12.6 - Linear Inequalities & Their Graphs (2 Variables)
12.7 - Systems of Linear Inequalities (Linear, 2 Variables)
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Section 13: Inequalities, Absolute Value
13.0 - Solving Absolute Value Inequalities
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Section 14: Polynomials
14.1 - All About Polynomials - An Overview
14.2 - Adding & Subtracting Polynomials
14.3 - Multiplying Polynomials
14.4 - Dividing Polynomials (by a monomial) (Also See Rational Expressions)
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Section 15: Ratios, Rates, Proportions, Percents
​15.0 - Ratios, Rates & Proportions
15.1 - Percents
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Section 16: Rational Expressions
16.0 - Introduction & Finding Undefined Values
16.1 - Simplifying Rational Expressions
16.2 - Multiplying & Dividing Rational Expressions
16.3 - Adding & Subtracting Rational Expressions (With Common Denominators)
16.4 - Adding & Subtracting Rational Expressions (With Unlike Denominators)
16.5 - Solving Rational Equations
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Section 17: Scientific Notation
17.0 Scientific Notation Basics
17.1 Multiplication, Division & Applications of Scientific Notation
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Section 18: Set Notation & Set Theory
18.0 - Venn Diagrams
18.1 - Sets, Subsets & Roster Notation
18.2 - Unions, Intersections & Complements
18.3 - Set Notation: Inequalities
18.4 - Set Notation: Set Builder & Solving Compound Inequalities
18.5 - Set Notation: Interval Notation
18.6 - The Rational Numbers
18.7 - The Closure Property
18.8 - Inequalities & Compound Inequalities
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Section 19: Square Roots
​19.0 - Rational & Irrational Numbers
19.1 - Introduction to Square Roots
19.1 - Simplifying Square Roots
19.3 - Adding & Subtracting Square Roots
19.4 - Multiplying Square Roots
19.5 - The Distributive Property
19.6 - Multiplying Binomials with Radicals
19.7 - Dividing Square Roots
19.8 - Square Roots in Fractions
19.9 - Rationalizing the Denominator
19.A - Rationalizing the Denominator with Conjugates
19.B - Solving Radical Equations
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Section 20: Descriptive Statistics
​20.0 Distributions and Their Shape
20.1 Describing the Center of a Distribution (Mean, Median)
20.2 Estimating the Mean and Median
20.3 Variability & Deviations from the Mean
20.4 Variability for Symmetric Distributions: Standard Deviation
20.5 Variability for Skewed Distributions (Box Plots & Interquartile Range)
20.6 Data: Numerical vs. Categorical, Univariate vs. Bivariate, Frequency (2-Way Tables)
20.7 Relative Frequency (2-Way Tables)
20.8 Conditional Relative Frequencies & Association (2-Way Tables)
20.9 Linear Regression
• Using the TI-84 for Linear Regression
• Using the TI-nspire for Linear Regression
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Section 21: Right Triangle Trigonometry (Basic)
​21.0 Introduction to Trigonometry
21.1 Finding the measure of an angle
21.2 Finding the length of a side
21.3 Applications of Trigonometry
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Section 22: Variation
​22.0 Direct Variation
22.1 Inverse (Indirect) Variation
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Section 23: Word Problems
​23.0 Translating Expressions & Equations
23.0 - One and Two Number Puzzles
23.1: Consecutive Integer Puzzles
23.1 Word Problems: Systems of Equations
23.2 Geometry Puzzles
23.3 Money Puzzles
23.4 Age Puzzles
23.5 Motion Puzzles (Day 1)
23.6 Motion Puzzles (Day 2)
23.7 Motion Puzzles (Day 3)
23.8 Application of Linear Equations <<NO VIDEO?>>
23.9 Systems of Equations
ALG 2: Solving Exponential Equations with Logarithms
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Section 24: Regents Exam Review
June 2014
24.1: Problems 1-7 https://youtu.be/e2cXcoElfMs
24.2: Problems 8-13 https://youtu.be/F57qgNm_07M
24.3: Problems 14-17 https://youtu.be/FmqZepn6ZBY
24.4: Problems 18-24: https://youtu.be/V3VihK2f5rY?
August 2014
24.5: Problems 1-8 https://youtu.be/lDkcEko6pbw
24.6: Problems 9-16 https://youtu.be/oFuuO50cwEo
24.7: Problems 17-24 https://youtu.be/fWQY-ezDtGQ
January 2015
24.8: Problems 1-9 https://youtu.be/LWunOB2AiG4
24.9: Problems 10-17 https://youtu.be/TLjSLggas1g
24.10: Problems 18-24 https://youtu.be/PtxBFX0pYH8
June 2015
24.11: Problems 1-7 https://youtu.be/_idFl2AtGh0
24.12: Problems 8-16 https://youtu.be/J_ZLiLecY6w
24.13: Problems 17-24 https://youtu.be/_Jlk-Bvzf-Q
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