Algebra I

US High School

Course Overview

Lessons & Practice

I. Welcome

1. Foundations of Algebra

4hr

1.I. 👉 Start Here

1.1.1. Numbers2 min

1.1.2. The Real Number System4 min

1.1.3. Order of Operations - BEDMAS7 min

1.1.4. Example3 min

1.1.5. Practice Level 13 min

1.1.6. Practice Level 25 min

1.1.7. Practice Level 34 min

1.2.1. Adding & Subtracting Integers & Decimals5 min

1.2.2. Multiplying & Dividing Integers & Decimals9 min

1.2.3. Practice2 min

1.2.4. Practice5 min

1.2.5. Practice Level 13 min

1.3.1. Adding & Subtracting Fractions4 min

1.3.2. Practice2 min

1.3.3. Multiplying & Dividing Fractions5 min

1.3.4. Practice5 min

1.3.5. Adding & Subtracting Mixed Numbers6 min

1.3.6. Practice Level 12 min

1.3.7. Multiplying & Dividing Mixed Numbers5 min

1.3.8. Practice2 min

1.3.9. Practice5 min

1.4.1. Hands-on Activity: The Vitruvian Man51 sec

1.4.2. Intro to Ratios, Rates, & Proportions3 min

1.4.3. Ratios & Fractions7 min

1.4.4. Rates13 min

1.4.5. Example7 min

1.4.6. Practice Level 1

1.4.7. Practice Level 23 min

1.4.8. Practice Level 25 min

1.4.9. Practice Level 24 min

1.4.10. Practice Level 37 min

1.5.1. Representing Numbers as Fractions, Decimals, and Percentages9 min

1.5.2. Practice Level 13 min

1.5.3. Converting Between Fractions, Decimals, and Percentages3 min

1.5.4. Example5 min

1.5.5. Practice Level 23 min

1.5.6. Practice Level 35 min

1.6.1. Powers & Exponents7 min

1.6.2. Practice Level 13 min

1.6.3. Is a Power Positive or Negative?2 min

1.6.4. Practice Level 12 min

1.6.5. Practice Level 23 min

1.6.6. Practice Level 33 min

1.7.1. Scientific Notation7 min

1.8.1. Roots & Radicals6 min

1.8.2. Square Roots of Perfect Squares4 min

1.8.3. Practice Level 15 min

1.8.4. Example4 min

1.8.5. Practice Level 260 sec

1.8.6. Practice Level 34 min

1.9.1. The Language of Algebra8 min

1.9.2. Practice2 min

1.9.3. Practice3 min

2. Quantities and Units

49min

2.1.1. SI System7 min

2.1.2. Example4 min

2.1.3. Practice5 min

2.1.4. Discussion

2.2.1. Imperial System8 min

2.2.2. Example5 min

2.2.3. Practice2 min

2.2.4. Practice3 min

2.2.5. Discussion

2.2.6. Practice2 min

2.3.1. Converting Lengths Between SI and Imperial Units3 min

2.3.2. Example6 min

2.3.3. Practice

2.3.4. Example (Another Way to Convert)3 min

3. Solving One-Variable Equations

1.3hr

3.I. 👉 Start Here

3.1.1. Solving Equations2 min

3.1.2. Example8 min

3.1.3. Practice2 min

3.2.1. Solving Multi-Step Equations1 min

3.2.2. Example7 min

3.2.3. Practice Level 16 min

3.2.4. Example6 min

3.2.5. Practice Level 13 min

3.2.6. Example5 min

3.2.7. Practice Level 24 min

3.2.8. Example7 min

3.2.9. Practice Level 26 min

3.3.1. Notes About Solving Equations & Formulas

3.3.2. Practice Level 23 min

3.3.3. Practice Level 25 min

3.3.4. Practice Level 35 min

3.3.5. Practice Level 35 min

3.3.6. Practice Level 32 min

4. Solving One Variable Inequalities

1.1hr

5. Relations & Functions

2.4hr

5.I. 👉 Start Here

5.1.1. Relations5 min

5.1.2. Review: Graphing Points3 min

5.1.3. Example7 min

5.1.4. Practice5 min

5.2.1. Linear Relations6 min

5.2.2. Example8 min

5.2.3. Practice Level 14 min

5.2.4. Practice Level 27 min

5.3.1. Plotting & Interpreting Data9 min

5.3.2. Example3 min

5.3.3. Practice Level 12 min

5.3.4. Practice Level 22 min

5.3.5. Practice Level 32 min

5.3.6. Curve of Best Fit2 min

5.3.7. Example5 min

5.3.8. Practice5 min

5.3.9. Practice3 min

5.4.1. Interpreting Graphs & Situations1 min

5.4.2. Example3 min

5.4.3. Practice4 min

5.4.4. Practice3 min

5.4.5. Displacement (Distance) & Velocity (Speed)5 min

5.4.6. Example7 min

5.4.7. Practice5 min

5.5.1. Functions5 min

5.5.2. Domain and Range of a Function4 min

5.5.3. Example3 min

5.5.4. Practice (Level 1)2 min

5.5.5. Practice (Level 2)39 sec

5.5.6. Practice (Level 3)1 min

5.6.1. Function Notation7 min

5.6.2. Example3 min

5.6.3. Practice (Level 1)2 min

5.6.4. Practice (Level 2)1 min

5.7.1. Inverse Functions3 min

5.7.2. Example3 min

5.7.3. Practice Level 12 min

5.7.4. Practice Level 21 min

5.7.5. Practice Level 32 min

6. Linear Functions (Equation of a Line)

3hr

6.I. 👉 Start Here

6.1.1. Equation of a Line4 min

6.1.2. Example5 min

6.1.3. Practice4 min

6.1.4. Horizontal & Vertical Lines4 min

6.1.5. Practice2 min

6.2.1. Slope of a Line8 min

6.2.2. Practice Level 12 min

6.2.3. Finding the Slope of a Line8 min

6.2.4. Practice Level 24 min

6.2.5. Practice Level 36 min

6.2.6. Example4 min

6.2.7. Practice Level 33 min

6.3.1. Different Forms of the Equation of a Line4 min

6.3.2. Example9 min

6.3.3. Practice Level 14 min

6.3.4. Practice Level 23 min

6.3.5. Practice Level 213 min

6.3.6. Practice Level 34 min

6.4.1. Graphing Linear Equations - Table of Values3 min

6.4.2. Graphing Linear Equations - Slope y-Intercept Form5 min

6.4.3. Practice6 min

6.4.4. Graphing Linear Equations - Using Intercepts4 min

6.4.5. Practice5 min

6.4.6. Practice4 min

6.5.1. Parallel & Perpendicular Lines7 min

6.5.2. Practice Level 25 min

6.5.3. Practice Level 24 min

6.6.1. Finding the Equation of a Line4 min

6.6.2. Practice Level 27 min

6.6.3. Practice Level 35 min

6.7.1. Line of Best Fit6 min

6.7.2. Practice2 min

6.7.3. Example12 min

6.7.4. Practice11 min

6.7.5. Outliers2 min

7. Systems of Linear Equations

2hr

7.1.1. Intro to Systems of Linear Equations (Simultaneous Equations)3 min

7.2.1. Solving Graphically7 min

7.2.2. Example2 min

7.2.3. Practice Level 12 min

7.2.4. Practice Level 22 min

7.2.5. Practice Level 22 min

7.3.1. Solving by Substitution12 min

7.3.2. Example5 min

7.3.3. Practice Level 12 min

7.3.4. Practice Level 25 min

7.3.5. Practice Level 37 min

7.4.1. Solving by Simple Elimination12 min

7.4.2. Example3 min

7.4.3. Practice Level 13 min

7.4.4. Practice Level 22 min

7.4.5. Practice Level 24 min

7.5.1. Solving by Multiplication before Elimination8 min

7.5.2. Example4 min

7.5.3. Example4 min

7.5.4. Practice Level 14 min

7.5.5. Practice Level 24 min

7.5.6. Practice5 min

7.6.1. No Solution or Many Solutions5 min

7.6.2. Example 1 7 min

7.6.3. Example 2 4 min

7.6.4. Practice4 min

8. Linear Inequalities in 2 Variables

39min

8.1.1. Solving Linear Inequalities in Two Variables5 min

8.1.2. Example5 min

8.1.3. Practice Level 13 min

8.1.4. Practice Level 36 min

8.2.1. Systems of Linear Inequalities4 min

8.2.2. Example9 min

8.2.3. Practice3 min

8.2.4. Practice5 min

9. Exponents & Radicals

2hr

9.I. 👉 Start Here

9.1.1. Investigating Integer Exponents6 min

9.1.2. Integer Exponents1 min

9.1.3. Practice1 min

9.1.4. Practice4 min

9.1.5. Practice3 min

9.2.1. Exponent Rules4 min

9.3.1. Exponent Rules for Fractions & Products5 min

9.3.2. Example3 min

9.3.3. Practice Level 12 min

9.3.4. Practice Level 12 min

9.3.5. Practice Level 23 min

9.3.6. Practice Level 34 min

9.4.1. Exponent Product Rule for Multiplying Powers3 min

9.4.2. Example2 min

9.4.3. Practice Level 13 min

9.4.4. Practice Level 25 min

9.5.1. Exponent Quotient Rule for Dividing Powers3 min

9.5.2. Example2 min

9.5.3. Practice Level 14 min

9.5.4. Practice Level 24 min

9.6.1. Exponent Power of a Power Rule3 min

9.6.2. Example56 sec

9.6.3. Practice Level 14 min

9.6.4. Practice Level 24 min

9.6.5. Example (⭐Important!)4 min

9.6.6. Practice Level 34 min

9.7.1. Investigating Rational Exponents5 min

9.7.2. Rational Exponents2 min

9.7.3. Practice Level 19 min

9.7.4. Practice Level 24 min

9.7.5. Practice Level 34 min

9.8.1. Practice Level 15 min

9.8.2. Practice Level 23 min

9.8.3. Practice Level 37 min

10. Exponential Functions

40min

10.1.1. Characteristics of Exponential Functions2 min

10.1.2. Example53 sec

10.1.3. Practice Level 12 min

10.1.4. Practice Level 22 min

10.2.1. Transformations of Exponential Functions3 min

10.2.2. Example3 min

10.2.3. Practice Level 12 min

10.2.4. Practice Level 23 min

10.2.5. Practice Level 29 min

10.3.1. Applications of Exponential Functions1 min

10.3.2. Example2 min

10.3.3. Practice Level 14 min

10.3.4. Practice Level 25 min

10.3.5. Practice Level 33 min

12. Sequences

1.3hr

12.1.1. Sequence5 min

12.1.2. Arithmetic Sequence6 min

12.1.3. Practice Level 13 min

12.1.4. Practice Level 13 min

12.1.5. Practice Level 22 min

12.1.6. Practice Level 37 min

12.2.1. Geometric Sequences8 min

12.2.2. Example3 min

12.2.3. Practice Level 13 min

12.2.4. Practice Level 24 min

12.2.5. Practice Level 37 min

12.3.1. Recursive Sequences9 min

12.3.2. Example6 min

12.3.3. Practice Level 15 min

12.3.4. Practice Level 23 min

12.3.5. Practice Level 33 min

13. Polynomial Expressions

2.6hr

13.I. 👉 Start Here

13.1.1. Polynomials6 min

13.1.2. Practice2 min

13.1.3. Practice1 min

13.1.4. Monomials, Binomials, Trinomials2 min

13.1.5. Practice

13.1.6. Degree of a Polynomial3 min

13.1.7. Practice

13.2.1. Adding & Subtracting Polynomials12 min

13.2.2. Practice Level 1

13.2.3. Practice Level 1

13.2.4. Algebra Tiles3 min

13.2.5. Example4 min

13.2.6. Practice Level 25 min

13.2.7. Practice Level 27 min

13.2.8. Practice Level 35 min

13.3.1. Multiplying a Polynomial by a Monomial10 min

13.3.2. Example3 min

13.3.3. Practice Level 12 min

13.3.4. Practice Level 17 min

13.3.5. Practice Level 14 min

13.3.6. Practice Level 25 min

13.3.7. Practice Level 27 min

13.3.8. Practice Level 37 min

13.4.1. Binomial

\times

13.4.2. Using Algebra Tiles3 min

13.4.3. Example7 min

13.4.4. Practice Level 15 min

13.4.5. Practice Level 29 min

13.4.6. Practice Level 38 min

13.5.1. Binomial

\times

13.5.2. Example3 min

13.5.3. Practice Level 13 min

13.5.4. Practice Level 1

13.5.5. Practice Level 2

13.5.6. Practice Level 3

13.6.1. Perfect Squares

13.6.2. Practice

13.6.3. Sum & Difference Pattern (Difference of Squares)

13.6.4. Practice

13.7.1. Dividng a Polynomial by a Monomial6 min

13.7.2. Practice Level 11 min

13.7.3. Practice Level 23 min

14. Factoring Polynomials

3hr

14.I. 👉 Start Here

14.1.1. Prime Factorization5 min

14.1.2. Practice Level 13 min

14.1.3. The Greatest Common Factor (GCF)4 min

14.1.4. Practice7 min

14.1.5. Warm Up to Factoring Algebraic Expressions6 min

14.2.1. Common Factoring9 min

14.2.2. Practice Level 13 min

14.2.3. Example11 min

14.2.4. Practice Level 26 min

14.2.5. Practice Level 25 min

14.2.6. Example (Grouping)6 min

14.2.7. Practice Level 33 min

14.2.8. Extra Common Factoring Drills 💪

14.3.1. Factoring Simple Trinomials

y=x^2+bx+c

14.3.2. Practice Level 16 min

14.3.3. Example11 min

14.3.4. Practice Level 25 min

14.3.5. Practice Level 37 min

14.3.6. Practice Level 35 min

14.3.7. Extra Simple Trinomial Factoring Drills 💪

14.4.1. Factoring Harder Trinomials

y=ax^2+bx+c

14.4.2. Example5 min

14.4.3. Practice Level 14 min

14.4.4. Practice Level 22 min

14.4.5. Decompose Strategy (Easier but Longer Method❗)5 min

14.4.6. Practice Level 34 min

14.4.7. Practice Level 38 min

14.4.8. Extra Trinomial Factoring Drills 💪

14.5.1. Factoring a Difference of Squares3 min

14.5.2. Example2 min

14.5.3. Practice Level 11 min

14.5.4. Practice Level 22 min

14.5.5. Practice Level 34 min

14.5.6. Extra Difference of Squares Drills 💪

14.6.1. Factoring Perfect Square Trinomials4 min

14.6.2. Example3 min

14.6.3. Practice Level 12 min

14.6.4. Practice Level 21 min

14.6.5. Practice Level 34 min

14.6.6. Extra Perfect Square Trinomial Factoring Drills 💪8 min

14.7.1. Factoring Summary3 min

14.7.2. Factoring Drills 💪 Level 210 min

14.7.3. Practice Level 33 min

14.7.4. Practice Level 34 min

14.7.5. Practice Level 35 min

14.7.6. Practice Level 34 min

15. Quadratic Functions

3hr

15.I. 👉 Start Here

15.1.1. Quadratic Relations13 min

15.1.2. Example7 min

15.1.3. Practice Level 15 min

15.1.4. Practice Level 25 min

15.1.5. Practice Level 37 min

15.2.1. Properties of Quadratic Graphs5 min

15.2.2. Example9 min

15.2.3. Practice Level 13 min

15.2.4. Practice Level 13 min

15.2.5. Practice Level 23 min

15.2.6. Practice Level 37 min

15.2.7. Practice Level 38 min

15.3.1. Factored Form of a Quadratic Equation9 min

15.3.2. Example8 min

15.3.3. Practice Level 14 min

15.3.4. Practice Level 27 min

15.3.5. Practice Level 35 min

15.3.6. Summary - Factored Form of a Quadratic Equation

15.4.1. Example7 min

15.4.2. Practice Level 16 min

15.4.3. Example5 min

15.4.4. Practice Level 211 min

15.4.5. Practice Level 34 min

15.4.6. Practice Level 3 🔥3 min

15.5.1. Vertical Stretches and Reflections7 min

15.5.2. Practice2 min

15.5.3. Practice2 min

15.5.4. Vertical & Horizontal Translations (Shifts)7 min

15.5.5. Example2 min

15.5.6. Practice2 min

15.5.7. Practice3 min

15.6.1. Graphing Quadratics in Vertex Form3 min

15.6.2. Example5 min

15.6.3. Practice Level 12 min

15.6.4. Practice Level 12 min

15.6.5. Practice Level 25 min

15.6.6. Practice Level 33 min

15.6.7. Practice Level 34 min

15.7.1. Example2 min

15.7.2. Practice Level 11 min

15.7.3. Practice Level 22 min

15.7.4. Practice Level 33 min

15.7.5. Practice Level 32 min

16. Completing the Square

59min

16.I. 👉 Start Here

16.1.1. Exploring Perfect Squares

\left(x+\dfrac{b}{2}\right)^2

16.1.2. Practice Level 13 min

16.1.3. Example4 min

16.1.4. Practice Level 21 min

16.1.5. Practice Level 31 min

16.2.1. Completing the Square (

x^2+bx+c

16.2.2. Example4 min

16.2.3. Practice Level 15 min

16.2.4. Practice Level 25 min

16.2.5. Practice Level 34 min

16.2.6. Extra Completing the Square Practice Drill 💪

16.3.1. Completing the Square (

ax^2+bx+c

16.3.2. Example4 min

16.3.3. Practice Level 14 min

16.3.4. Practice Level 25 min

16.3.5. Practice Level 37 min

16.3.6. Extra Completing the Square Practice Drill 💪

17. Solving Quadratic Equations

2.1hr

17.I. 👉 Start Here

17.1.1. Solving Quadratic Equations by Factoring2 min

17.1.2. Example5 min

17.1.3. Practice Level 14 min

17.1.4. Example3 min

17.1.5. Example4 min

17.1.6. Practice Level 27 min

17.1.7. Practice Level 311 min

17.1.8. Practice Level 37 min

17.2.1. Solving Quadratic Equations by Completing the Square4 min

17.2.2. Example4 min

17.2.3. Practice Level 14 min

17.2.4. Practice Level 25 min

17.2.5. Practice Level 38 min

17.2.6. Practice Level 34 min

17.3.1. Quadratic Formula7 min

17.3.2. Example6 min

17.3.3. Practice Level 14 min

17.3.4. Practice Level 23 min

17.3.5. Practice Level 25 min

17.3.6. Practice Level 33 min

17.4.1. Solutions From the Quadratic Formula3 min

17.4.2. Practice Level 14 min

17.4.3. Practice Level 24 min

17.4.4. Practice Level 33 min

17.5.1. Solving Quadratic Equations4 min

17.5.2. Practice Level 25 min

17.5.3. Practice Level 33 min

17.5.4. Practice Level 33 min

18. Radical Equations and Functions

39min

18.1.1. Solving Radical Equations5 min

18.1.2. Example5 min

18.1.3. Example6 min

18.1.4. Practice Level 16 min

18.1.5. Practice Level 23 min

18.1.6. Practice Level 38 min

18.2.1. Example3 min

18.2.2. Practice Level 11 min

18.2.3. Practice Level 22 min

18.3.1. Graphs of Radical Functions

18.3.2. Example

18.3.3. Practice

18.3.4. Practice

19. Rational Expressions and Functions

1.5hr

19.1.1. Rational Expressions & Functions7 min

19.1.2. Practice Level 13 min

19.1.3. Practice Level 24 min

19.1.4. Practice Level 25 min

19.1.5. Practice Level 34 min

19.2.1. Multiplying & Dividing Rational Expressions6 min

19.2.2. Practice Level 13 min

19.2.3. Practice Level 26 min

19.2.4. Practice Level 35 min

19.3.1. Adding and Subtracting Rational Expressions5 min

19.3.2. Practice Level 14 min

19.3.3. Practice Level 1

19.3.4. Practice Level 25 min

19.3.5. Practice Level 34 min

19.4.1. Solving Rational Equations3 min

19.4.2. Example5 min

19.4.3. Practice Level 152 sec

19.4.4. Practice Level 26 min

19.5.1. Graphs of Rational Functions4 min

19.5.2. Example3 min

19.5.3. Example2 min

19.5.4. Example3 min

19.5.5. Practice Level 12 min

19.5.6. Practice Level 22 min

19.5.7. Practice Level 3

20. Data Analysis

1.4hr

20.1.1. Measures of Central Tendency13 min

20.1.2. Practice Level 12 min

20.1.3. Practice Level 14 min

20.1.4. Practice Level 25 min

20.1.5. Practice Level 34 min

20.2.1. Quartiles6 min

20.2.2. Box Plots (Box-and-Whisker Plots)5 min

20.2.3. Practice6 min

20.2.4. Practice7 min

20.3.1. Range and Interquartile Range11 min

20.3.2. Variance and Standard Deviation6 min

20.3.3. Practice3 min

20.3.4. Practice3 min

20.3.5. Practice

20.4.1. Percentiles4 min

20.4.2. Example2 min

20.4.3. Practice

20.5.1. Skewness and Symmetry 6 min

20.5.2. Practice

21. Displaying & Summarizing Quantitative Data

1.1hr

21.1.1. Boxplots and Five Number Summary9 min

21.1.2. Practice4 min

21.1.3. Practice Question7 min

21.2.1. Histograms4 min

21.2.2. Practice2 min

21.2.3. Practice2 min

21.2.4. Practice

21.3.1. Dot Plots5 min

21.3.2. Practice

21.4.1. Frequency Polygons2 min

21.4.2. Practice4 min

21.5.1. Stemplots (Stem-and-Leaf Plots)2 min

21.5.2. Practice3 min

21.6.1. Times Series Plots2 min

21.6.2. Practice2 min

21.7.1. Pie Chart3 min

21.7.2. Practice

21.8.1. Bar Chart3 min

21.8.2. Practice

21.9.1. Segmented Bar Chart (or Stacked Columns)3 min

21.9.2. Practice4 min

21.10.1. Contingency Table (Two-Way Table)4 min

21.10.2. Simpson’s Paradox3 min

21.10.3. Practice

I Welcome

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Welcome to Algebra I
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This resource includes the following activities: 
   Theory lessons: I will explain and summarize new math concepts
   Examples: I will walk you through how to solve problems involving these new math concepts
   Practice questions: These are for you to try out on your own. Don't worry, if you get stuck, you can watch the video solutions or read the suggested written answers

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Answered

Sophia F

How do you move your decimal when dividing decimals

J

Jarrett N

Instructor

Hello! Can you give me a specific example? That may help me assist you better!

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