Dorey Publications
Making Algebra Simple.
Math Tutorial Videos for Algebra 1
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
Section 2: Absolute Value
2.0 - Solving Absolute Value Equations
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
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)
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
Section 6: Exponents
6.0 - Introduction to Exponents (Positive, Negative, Zero)
6.1 - Multiplying & Dividing with Exponents
6.2 - Raising Powers to Powers
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)
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)
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
Section 10: Functions, Linear
10.0 - Solutions to Equations with Two Variables (2024)
10.1 - Finding a Missing Value in a Point given an Equation (2024)
10.2 - Linear vs. Non-Linear (2020)
10.3 - Introduction to Slope (2020)
10.4 - Reading Slope from a Graph (2020)
10.5 - Using the Slope Formula (2020)
10.6 - Graphing Linear Functions (2024)
10.7 - Rearranging Linear Functions (2024)
10.8 - Writing Equations of Linear Functions (Slope-Intercept Form)
10.9 - Writing Equations of Linear Functions (Point-Slope Form)
10.10 - Interpreting Parameters of Linear Functions
10.11 - Writing Linear Models
10.12 - Horizontal & Vertical Lines
10.13 - Linear Inequalities
10.14 - Linear Inequalities (Horizontal & Vetical Lines)
OBSOLETE LINEAR
10.6 - Writing the Equation of a Line <<OLD>>
10.7 - Parallel & Perpendicular Lines <<NOT IN N.G.L.S.>>
10.4 - Slope and Graphs of Lines <>
10.5 - Graphing Linear Functions <<OLD>>
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
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)
Section 13: Inequalities, Absolute Value
13.0 - Solving Absolute Value Inequalities
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)
Section 15: Ratios, Rates, Proportions, Percents
15.0 - Ratios, Rates & Proportions
15.1 - Percents
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
Section 17: Scientific Notation
17.0 Scientific Notation Basics
17.1 Multiplication, Division & Applications of Scientific Notation
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
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
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
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
Section 22: Variation
22.0 Direct Variation
22.1 Inverse (Indirect) Variation
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
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