Algebra I Videos

Kimberly Konzack, Instructor

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Chapters Sections Videos

Note that the Model Problem and video on Interval Notation has been moved from Section 6.5 to 6.4.

Chapter 1. Equations and Inequalities

1.1 Properties of Real Numbers

📹 Identities and Inverses

📹 Identify Properties

📹 Application of the Distributive Property

1.2 Solve Linear Equations in One Variable

📹 One- and Two-Step Equations

📹 Like Terms on the Same Side

📹 Eliminating Parentheses

📹 Equations with Variables on Both Sides

1.3 Solve Equations with Fractions

📹 Equations with Fractional Terms

📹 Equations with Fractional Factors

1.4 Solve Linear Inequalities in One Variable

📹 Solve Linear Inequalities in One Variable

1.5 Solve Literal Equations and Inequalities

📹 Multi-step Literal Equations

📹 Using the Distributive Property

Chapter 2. Verbal Problems

2.1 Translate Expressions

📹 Expressions in Terms of One Variable (Part a)

📹 Expressions in Terms of One Variable (Part b)

📹 Consecutive Integers

📹 Chain Comparisons

2.2 Translate Equations

📹 Translate Equations

2.3 Linear Model in Two Variables

📹 Linear Model in Two Variables

2.4 Word Problems – Linear Equations

📹 Linear Models

📹 Using Expressions in Terms of a Variable

📹 Ratio Problems

📹 Consecutive Integer Problems

📹 Total Value Problems

2.5 Translate Inequalities

📹 Translate Inequalities

2.6 Word Problems – Inequalities

📹 Word Problems – Inequalities

2.7 Conversions

📹 Converting Units of Measure

📹 Converting from One Unit Rate to Another

Chapter 3. Linear Graphs

3.1 Determine Whether a Point is on a Line

📹 Determine Whether a Point is on a Line

3.2 Lines Parallel to Axes

📹 Lines Parallel to Axes

3.3 Find Intercepts

📹 Find Intercepts

3.4 Find Slope Given Two Points

📹 Graphically

📹 Algebraically

3.5 Find Slope Given an Equation

📹 Transforming an Equation

📹 Equations of Parallel Lines

3.6 Graph Linear Equations

📹 Graph Linear Equations

3.7 Write an Equation Given a Point and Slope

📹 Write an Equation Given a Point and Slope

3.8 Write an Equation Given Two Points

📹 Write an Equation Given Two Points

3.9 Graph Inequalities

📹 Graph Inequalities

Chapter 4. Linear Systems

4.1 Solve Linear Systems Algebraically

📹 Addition Method

📹 Addition Method with Multipliers

📹 Substitution Method

4.2 Solve Linear Systems Graphically

📹 Solve Linear Systems Graphically

4.3 Solutions to Systems of Inequalities

📹 Solutions to Systems of Inequalities

4.4 Solve Systems of Inequalities Graphically

📹 Graphing

📹 Solutions

4.5 Word Problems – Linear Systems

📹 Word Problems – Linear Systems

4.6 Word Problems – Systems of Inequalities

📹 Word Problems – Systems of Inequalities

Chapter 5. Polynomials

5.1 Polynomial Expressions

📹 Polynomial Expressions

5.2 Add and Subtract Polynomials

📹 Add and Subtract Polynomials

5.3 Multiply a Monomial by a Polynomial

📹 Multiply a Monomial by a Polynomial

5.4 Multiply Polynomials

📹 Multiply Binomials

📹 Multiply a Binomial by a Trinomial

5.5 Divide a Polynomial by a Monomial

📹 Divide a Polynomial by a Monomial

Chapter 6. Introduction to Functions

6.1 Recognize Functions

📹 Determining if a Relation is a Function

📹 Determining if a Graph Represents a Function

6.2 Function Graphs

📹 Function Graphs

6.3 Evaluate Functions

📹 Evaluate Functions

6.4 Features of Function Graphs

📹 Interval Notation

📹 Describe Features of a Graph

6.5 Domain and Range

📹 Identify Domain and Range from a Graph

📹 Restrictions on the Domain

6.6 Absolute Value Functions

📹 Absolute Value Functions

Chapter 7. Functions as Models

7.1 Write a Function from a Table

📹 Write a Function from a Table

7.2 Graph Linear Functions

📹 Graph Linear Functions

7.3 Rate of Change for Linear Functions

📹 Rate of Change for Linear Functions

7.4 Average Rate of Change

📹 From a Graph or Set of Points

📹 From a Function Definition

7.5 Functions of Time

📹 Distance-Time Functions

📹 Speed-Time Functions

7.6 Systems of Functions

📹 Systems of Functions

7.7 Combine Functions

📹 Combine Functions

Chapter 8. Exponential Functions

8.1 Exponential Growth and Decay

📹 Exponential Growth and Decay

8.2 Graphs of Exponential Functions

📹 Graph an Exponential Function

📹 Determine the Equation

8.3 Rewrite Exponential Expressions

📹 Rewrite Exponential Expressions

8.4 Compare Linear and Exponential Functions

📹 Compare Linear and Exponential Functions

Chapter 9. Sequences

9.1 Arithmetic Sequences

📹 Find the nth Term

📹 Write a Formula Given Two Terms

9.2 Geometric Sequences

📹 Geometric Sequences

Chapter 10. Irrational Numbers

10.1 Simplify Radicals

📹 Introduction to Radicals

📹 Simplify a Radical Expression

10.2 Operations with Radicals

📹 Adding or Subtracting Radicals

📹 Multiplying Radicals

📹 Dividing Radicals

10.3 Rationalizing Denominators

📹 Rationalizing the Denominator

📹 Add Fractions with Irrational Denominators

10.4 Closure

📹 Closure

Chapter 11. Factoring

11.1 Factor Out the Greatest Common Factor

📹 Factor Out the Greatest Common Factor

11.2 Factor a Trinomial

📹 Factor a Trinomial

11.3 Factor the Difference of Perfect Squares

📹 Factor the Difference of Perfect Squares

11.4 Factor Completely

📹 Factor Completely

Chapter 12. Quadratic Functions

12.1 Solve Simple Quadratic Equations

📹 One-Step Equations

📹 Multi-Step Equations

📹 Zeroes of a Function

📹 Literal Equations

12.2 Solve Quadratic Equations by Factoring

📹 Solve Quadratic Equations by Factoring

12.3 Find Quadratic Equations from Given Roots

📹 Find Quadratic Equations from Given Roots

12.4 Equations with the Square of a Binomial

📹 Irrational Roots

📹 Zeros of a Function

12.5 Complete the Square

📹 Rational Roots

📹 Irrational Roots

12.6 Quadratic Formula and the Discriminant

📹 Quadratic Formula

📹 Discriminant

12.7 Word Problems – Quadratic Equations

📹 Word Problems – Quadratic Equations

12.8 Justify Steps to Solve a Quadratic

📹 Justify Steps to Solve a Quadratic

Chapter 13. Parabolas

13.1 Find Roots Given a Parabolic Graph

📹 Determine Whether a Point is on the Graph

📹 Determining the Roots

13.2 Find Vertex and Axis Graphically

📹 Find Vertex and Axis Graphically

13.3 Find Vertex and Axis Algebraically

Chapter 14. Quadratic-Linear Systems

14.1 Solve Quadratic-Linear Systems Algebraically

📹 Solve Quadratic-Linear Systems Algebraically

14.2 Solve Quadratic-Linear Systems Graphically

📹 Solve Quadratic-Linear Systems Graphically

Chapter 15. Cubic and Radical Functions

15.1 Cubic Functions

📹 Cubic Functions

15.2 Square Root Functions

📹 Square Root Functions

Chapter 16. Transformations of Functions

Chapter 17. Discontinuous Functions

17.1 Piecewise Functions

📹 Piecewise Functions

17.2 Step Functions

📹 Step Functions

Chapter 18. Univariate Data

18.1 Types of Data

📹 Types of Data

18.2 Frequency Tables

📹 Ungrouped Frequency Tables

📹 Grouped Frequency Tables

18.3 Histograms

📹 Histograms

18.4 Central Tendency

📹 Central Tendency

18.5 Distribution

📹 Reading Dot Plots

📹 Distribution and Shape

18.6 Standard Deviation

📹 Population and Sample

📹 Conceptualizing Standard Deviation

📹 Calculating Standard Deviation

18.7 Percentiles and Quartiles

📹 Percentiles and Quartiles

18.8 Box Plots

📹 Box Plots

Chapter 19. Bivariate Data

19.1 Two-Way Frequency Tables

📹 Two-Way Frequency Tables

19.2 Scatter Plots

📹 Scatter Plots

19.3 Correlation and Causality

📹 Correlation and Causality

19.4 Identify Correlation in Scatter Plots

📹 Identify Correlation in Scatter Plots

19.5 Lines of Fit

📹 Lines of Fit

19.6 Correlation Coefficients

📹 Correlation Coefficients

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