Course Summary

This common core-aligned high school algebra course is designed to build and develop skills in essential algebraic concepts. The course includes short video lessons and interactive quizzes.

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19 chapters in Algebra I: High School

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Week {{::cp.getGoalWeekForTopic(0, 19)}}

Ch 1. High School Algebra: Solving Math Word Problems {{cp.topicAssetIdToProgress[18684].percentComplete}}% complete

	Best Score
Lesson 1 - Solving Word Problems: Steps & Examples	Take Quiz
		Take Quiz
Lesson 2 - Solving Word Problems with Multiple Steps	Take Quiz
Lesson 3 - Restating Word Problems Using Words or Images	Take Quiz
Lesson 4 - Personalizing a Word Problem to Increase Understanding	Take Quiz

Week {{::cp.getGoalWeekForTopic(1, 19)}}

Ch 2. High School Algebra: Percent Notation {{cp.topicAssetIdToProgress[12861].percentComplete}}% complete

			Course Progress	Best Score
	Lesson 1 - What is a Percent? - Definition & Examples			Take Quiz
	Lesson 2 - Converting from Percent Notation to Decimal Notation			Take Quiz
	Lesson 3 - Converting Percent Notation to Fraction Notation			Take Quiz
	Lesson 4 - Changing Between Decimals and Percents			Take Quiz
	Lesson 5 - Changing Between Decimals and Fractions			Take Quiz
	Lesson 6 - Converting Fractions to Percents			Take Quiz

Week {{::cp.getGoalWeekForTopic(2, 19)}}

Ch 3. High School Algebra: Calculations, Ratios, Percent & Proportions {{cp.topicAssetIdToProgress[12864].percentComplete}}% complete

			Course Progress	Best Score
	Lesson 1 - Ratios & Rates: Definitions & Examples			Take Quiz
	Lesson 2 - How to Solve Problems with Money			Take Quiz
	Lesson 3 - Proportion: Definition, Application & Examples			Take Quiz
	Lesson 4 - Calculations with Ratios and Proportions			Take Quiz
	Lesson 5 - Percents: Definition, Application & Examples			Take Quiz
	Lesson 6 - How to Solve Word Problems That Use Percents			Take Quiz
	Lesson 7 - Math Combinations: Formula and Example Problems			Take Quiz
	Lesson 8 - How to Calculate a Permutation			Take Quiz
	Lesson 9 - How to Solve Problems with Time			Take Quiz
	Lesson 10 - Distance Formulas: Calculations & Examples			Take Quiz

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Ch 4. High School Algebra: Real Numbers {{cp.topicAssetIdToProgress[10788].percentComplete}}% complete

			Course Progress	Best Score
	Lesson 1 - What are the Different Types of Numbers?			Take Quiz
	Lesson 2 - Graphing Rational Numbers on a Number Line			Take Quiz
	Lesson 3 - Notation for Rational Numbers, Fractions & Decimals			Take Quiz
	Lesson 4 - The Order of Real Numbers: Inequalities			Take Quiz
	Lesson 5 - Finding the Absolute Value of a Real Number			Take Quiz

Week {{::cp.getGoalWeekForTopic(4, 19)}}

Ch 5. High School Algebra: Exponents and Exponential Expressions {{cp.topicAssetIdToProgress[14642].percentComplete}}% complete

			Course Progress	Best Score
	Lesson 1 - How to Use Exponential Notation			Take Quiz
	Lesson 2 - Scientific Notation: Definition and Examples			Take Quiz
	Lesson 3 - Simplifying and Solving Exponential Expressions			Take Quiz
	Lesson 4 - Exponential Expressions & The Order of Operations			Take Quiz
	Lesson 5 - Multiplying Exponential Expressions			Take Quiz
	Lesson 6 - Dividing Exponential Expressions			Take Quiz
	Lesson 7 - The Power of Zero: Simplifying Exponential Expressions			Take Quiz
	Lesson 8 - Negative Exponents: Writing Powers of Fractions and Decimals			Take Quiz
	Lesson 9 - Power of Powers: Simplifying Exponential Expressions			Take Quiz

Week {{::cp.getGoalWeekForTopic(5, 19)}}

Ch 6. High School Algebra: Properties of Exponents {{cp.topicAssetIdToProgress[10792].percentComplete}}% complete

			Course Progress	Best Score
	Lesson 1 - What Are the Five Main Exponent Properties?			Take Quiz
	Lesson 2 - How to Define a Zero and Negative Exponent			Take Quiz
	Lesson 3 - How to Simplify Expressions with Exponents			Take Quiz
	Lesson 4 - Rational Exponents			Take Quiz
	Lesson 5 - Simplifying Expressions with Rational Exponents			Take Quiz

Week {{::cp.getGoalWeekForTopic(6, 19)}}

Ch 7. High School Algebra: Radical Expressions {{cp.topicAssetIdToProgress[12862].percentComplete}}% complete

			Course Progress	Best Score
	Lesson 1 - How to Find the Square Root of a Number			Take Quiz
	Lesson 2 - Estimating Square Roots			Take Quiz
	Lesson 3 - Simplifying Square Roots When not a Perfect Square			Take Quiz
	Lesson 4 - Simplifying Expressions Containing Square Roots			Take Quiz
	Lesson 5 - Division and Reciprocals of Radical Expressions			Take Quiz
	Lesson 6 - Radicands and Radical Expressions			Take Quiz
	Lesson 7 - Evaluating Square Roots of Perfect Squares			Take Quiz
	Lesson 8 - Factoring Radical Expressions			Take Quiz
	Lesson 9 - Simplifying Square Roots of Powers in Radical Expressions			Take Quiz
	Lesson 10 - Multiplying then Simplifying Radical Expressions			Take Quiz
	Lesson 11 - Dividing Radical Expressions			Take Quiz
	Lesson 12 - Simplify Square Roots of Quotients			Take Quiz
	Lesson 13 - Rationalizing Denominators in Radical Expressions			Take Quiz
	Lesson 14 - Addition and Subtraction Using Radical Notation			Take Quiz
	Lesson 15 - Multiplying Radical Expressions with Two or More Terms			Take Quiz
	Lesson 16 - Solving Radical Equations: Steps and Examples			Take Quiz
	Lesson 17 - Solving Radical Equations with Two Radical Terms			Take Quiz

Week {{::cp.getGoalWeekForTopic(7, 19)}}

Ch 8. High School Algebra: Algebraic Expressions and Equations {{cp.topicAssetIdToProgress[12863].percentComplete}}% complete

			Course Progress	Best Score
	Lesson 1 - What is the Correct Setup to Solve Math Problems?: Writing Arithmetic Expressions			Take Quiz
	Lesson 2 - Understanding and Evaluating Math Formulas			Take Quiz
	Lesson 3 - Expressing Relationships as Algebraic Expressions			Take Quiz
	Lesson 4 - Evaluating Simple Algebraic Expressions			Take Quiz
	Lesson 5 - Combining Like Terms in Algebraic Expressions			Take Quiz
	Lesson 6 - Practice Simplifying Algebraic Expressions			Take Quiz
	Lesson 7 - Negative Signs and Simplifying Algebraic Expressions			Take Quiz
	Lesson 8 - Writing Equations with Inequalities: Open Sentences and True/False Statements			Take Quiz
	Lesson 9 - Common Algebraic Equations: Linear, Quadratic, Polynomial, and More			Take Quiz
	Lesson 10 - Defining, Translating, & Solving One-Step Equations			Take Quiz
	Lesson 11 - Solving Equations Using the Addition Principle			Take Quiz
	Lesson 12 - Solving Equations Using the Multiplication Principle			Take Quiz
	Lesson 13 - Solving Equations Using Both Addition and Multiplication Principles			Take Quiz
	Lesson 14 - Collecting Like Terms On One Side of an Equation			Take Quiz
	Lesson 15 - Solving Equations Containing Parentheses			Take Quiz
	Lesson 16 - Solving Equations with Infinite Solutions or No Solutions			Take Quiz
	Lesson 17 - Translating Words to Algebraic Expressions			Take Quiz
	Lesson 18 - How to Solve One-Step Algebra Equations in Word Problems			Take Quiz
	Lesson 19 - How to Solve Equations with Multiple Steps			Take Quiz
	Lesson 20 - How to Solve Multi-Step Algebra Equations in Word Problems			Take Quiz
	Flashcards - Algebra Terms Flashcards

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Ch 9. High School Algebra: Algebraic Distribution {{cp.topicAssetIdToProgress[15919].percentComplete}}% complete

			Course Progress	Best Score
	Lesson 1 - Why Do We Distribute in Algebra? - Explanation & Examples			Take Quiz
	Lesson 2 - Distributing First vs. Adding First: Differences & Examples			Take Quiz
	Lesson 3 - Distributing Positive and Negative Signs			Take Quiz
	Lesson 4 - Distributing Algebraic Expressions with Numbers and Variables			Take Quiz
	Lesson 5 - Changing Negative Exponents to Fractions			Take Quiz
	Lesson 6 - Working With Fractional Powers			Take Quiz
	Lesson 7 - Distribution of More Than One Term in Algebra			Take Quiz

Week {{::cp.getGoalWeekForTopic(9, 19)}}

Ch 10. High School Algebra: Properties of Functions {{cp.topicAssetIdToProgress[10789].percentComplete}}% complete

			Course Progress	Best Score
	Lesson 1 - What is a Function: Basics and Key Terms			Take Quiz
	Lesson 2 - Transformations: How to Shift Graphs on a Plane			Take Quiz
	Lesson 3 - How to Add, Subtract, Multiply and Divide Functions			Take Quiz
	Lesson 4 - What Is Domain and Range in a Function?			Take Quiz
	Lesson 5 - How to Compose Functions			Take Quiz
	Lesson 6 - Inverse Functions			Take Quiz
	Lesson 7 - Applying Function Operations Practice Problems			Take Quiz

Week {{::cp.getGoalWeekForTopic(10, 19)}}

Ch 11. High School Algebra: Working With Inequalities {{cp.topicAssetIdToProgress[10791].percentComplete}}% complete

			Course Progress	Best Score
	Lesson 1 - What is an Inequality?			Take Quiz
	Lesson 2 - How to Graph 1- and 2-Variable Inequalities			Take Quiz
	Lesson 3 - Set Notation, Compound Inequalities, and Systems of Inequalities			Take Quiz
	Lesson 4 - Graphing Inequalities: Practice Problems			Take Quiz
	Lesson 5 - How to Solve and Graph an Absolute Value Inequality			Take Quiz
	Lesson 6 - Solving and Graphing Absolute Value Inequalities: Practice Problems			Take Quiz
	Lesson 7 - Translating Math Sentences to Inequalities			Take Quiz

Week {{::cp.getGoalWeekForTopic(11, 19)}}

Ch 12. High School Algebra: Linear Equations {{cp.topicAssetIdToProgress[10794].percentComplete}}% complete

			Course Progress	Best Score
	Lesson 1 - What is a Linear Equation?			Take Quiz
	Lesson 2 - Applying the Distributive Property to Linear Equations			Take Quiz
	Lesson 3 - Linear Equations: Intercepts, Standard Form and Graphing			Take Quiz
	Lesson 4 - Abstract Algebraic Examples and Going from a Graph to a Rule			Take Quiz
	Lesson 5 - Graphing Undefined Slope, Zero Slope and More			Take Quiz
	Lesson 6 - Parallel, Perpendicular and Transverse Lines			Take Quiz
	Lesson 7 - Graphs of Parallel and Perpendicular Lines in Linear Equations			Take Quiz
	Lesson 8 - How to Write a Linear Equation			Take Quiz
	Lesson 9 - What is a System of Equations?			Take Quiz
	Lesson 10 - How Do I Use a System of Equations?			Take Quiz
	Lesson 11 - Nonlinear Function: Definition & Examples			Take Quiz

Week {{::cp.getGoalWeekForTopic(12, 19)}}

Ch 13. High School Algebra: Factoring {{cp.topicAssetIdToProgress[10795].percentComplete}}% complete

			Course Progress	Best Score
	Lesson 1 - What is Factoring in Algebra? - Definition & Example			Take Quiz
	Lesson 2 - How to Find the Prime Factorization of a Number			Take Quiz
	Lesson 3 - Using Prime Factorizations to Find the Least Common Multiples			Take Quiz
	Lesson 4 - Equivalent Expressions and Fraction Notation			Take Quiz
	Lesson 5 - Using Fraction Notation: Addition, Subtraction, Multiplication & Division			Take Quiz
	Lesson 6 - Factoring Out Variables: Instructions & Examples			Take Quiz
	Lesson 7 - Combining Numbers and Variables When Factoring			Take Quiz
	Lesson 8 - Transforming Factoring Into A Division Problem			Take Quiz
	Lesson 9 - Factoring By Grouping: Steps, Verification & Examples			Take Quiz

Week {{::cp.getGoalWeekForTopic(13, 19)}}

Ch 14. High School Algebra: Quadratic Equations {{cp.topicAssetIdToProgress[10799].percentComplete}}% complete

			Course Progress	Best Score
	Lesson 1 - What is a Quadratic Equation? - Definition & Examples			Take Quiz
	Lesson 2 - Solving Quadratics: Assigning the Greatest Common Factor and Multiplication Property of Zero			Take Quiz
	Lesson 3 - How to Use the Quadratic Formula to Solve a Quadratic Equation			Take Quiz
	Lesson 4 - How to Solve Quadratics That Are Not in Standard Form			Take Quiz
	Lesson 5 - Solving Quadratic Inequalities Using Two Binomials			Take Quiz

Week {{::cp.getGoalWeekForTopic(14, 19)}}

Ch 15. High School Algebra: Graphing and Factoring Quadratic Equations {{cp.topicAssetIdToProgress[10796].percentComplete}}% complete

			Course Progress	Best Score
	Lesson 1 - Using Tables and Graphs in the Real World			Take Quiz
	Lesson 2 - Scatterplots and Line Graphs: Definitions and Uses			Take Quiz
	Lesson 3 - What is a Parabola?			Take Quiz
	Lesson 4 - Parabolas in Standard, Intercept, and Vertex Form			Take Quiz
	Lesson 5 - Multiplying Binomials Using FOIL and the Area Method			Take Quiz
	Lesson 6 - Multiplying Binomials Using FOIL & the Area Method: Practice Problems			Take Quiz
	Lesson 7 - How to Factor Quadratic Equations: FOIL in Reverse			Take Quiz
	Lesson 8 - Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient			Take Quiz
	Lesson 9 - Solving Quadratic Trinomials by Factoring			Take Quiz
	Lesson 10 - How to Complete the Square			Take Quiz
	Lesson 11 - Completing the Square Practice Problems			Take Quiz
	Lesson 12 - How to Solve a Quadratic Equation by Factoring			Take Quiz

Week {{::cp.getGoalWeekForTopic(15, 19)}}

Ch 16. High School Algebra: Properties of Polynomial Functions {{cp.topicAssetIdToProgress[10797].percentComplete}}% complete

			Course Progress	Best Score
	Lesson 1 - How to Graph Cubics, Quartics, Quintics and Beyond			Take Quiz
	Lesson 2 - How to Add, Subtract and Multiply Polynomials			Take Quiz
	Lesson 3 - How to Divide Polynomials with Long Division			Take Quiz
	Lesson 4 - How to Use Synthetic Division to Divide Polynomials			Take Quiz
	Lesson 5 - Dividing Polynomials with Long and Synthetic Division: Practice Problems			Take Quiz
	Lesson 6 - Operations with Polynomials in Several Variables			Take Quiz

Week {{::cp.getGoalWeekForTopic(16, 19)}}

Ch 17. High School Algebra: Rational Expressions {{cp.topicAssetIdToProgress[10798].percentComplete}}% complete

			Course Progress	Best Score
	Lesson 1 - How to Multiply and Divide Rational Expressions			Take Quiz
	Lesson 2 - Multiplying and Dividing Rational Expressions: Practice Problems			Take Quiz
	Lesson 3 - How to Add and Subtract Rational Expressions			Take Quiz
	Lesson 4 - Practice Adding and Subtracting Rational Expressions			Take Quiz
	Lesson 5 - How to Solve a Rational Equation			Take Quiz
	Lesson 6 - Rational Equations: Practice Problems			Take Quiz
	Lesson 7 - Division and Reciprocals of Rational Expressions			Take Quiz
	Lesson 8 - Simplifying Complex Rational Expressions			Take Quiz
	Lesson 9 - Solving Equations of Direct Variation			Take Quiz
	Lesson 10 - Solving Equations of Inverse Variation			Take Quiz

Week {{::cp.getGoalWeekForTopic(17, 19)}}

Ch 18. High School Algebra: Matrices and Absolute Value {{cp.topicAssetIdToProgress[10790].percentComplete}}% complete

			Course Progress	Best Score
	Lesson 1 - What is a Matrix?			Take Quiz
	Lesson 2 - How to Take a Determinant of a Matrix			Take Quiz
	Lesson 3 - What is an Absolute Value?			Take Quiz
	Lesson 4 - How to Evaluate Absolute Value Expressions			Take Quiz
	Lesson 5 - How to Solve an Absolute Value Equation			Take Quiz
	Lesson 6 - Solving Absolute Value Practice Problems			Take Quiz
	Lesson 7 - How to Graph an Absolute Value and Do Transformations			Take Quiz
	Lesson 8 - Graphing Absolute Value Equations: Dilations & Reflections			Take Quiz

Week {{::cp.getGoalWeekForTopic(18, 19)}}

Ch 19. High School Algebra: Data, Statistics, and Probability {{cp.topicAssetIdToProgress[10801].percentComplete}}% complete

			Course Progress	Best Score
	Lesson 1 - Probability of Independent and Dependent Events			Take Quiz
	Lesson 2 - How to Calculate Mean, Median, Mode & Range			Take Quiz
	Lesson 3 - Organizing and Understanding Data with Tables & Schedules			Take Quiz
	Lesson 4 - Understanding Bar Graphs and Pie Charts			Take Quiz

About the Course

This Algebra I course is a foundation in algebraic principles and problem-solving skills. Students will learn how to understand and solve mathematical problems involving variables, ratios, inequalities and exponents. They will gain practice in simplifying expressions and choosing the best method for solving complex equations. The course is aligned to Common Core State Standards and it is designed to prepare students for advanced algebra and geometry.

Course Topics

Word Problems - Interpreting and solving simple and multi-step word problems
Percent Notation - Converting between percent notation and both decimal and fraction notation
Ratios, Proportions & Calculations - Solving problems including ratios, money, percents, combinations and permutations
Real Numbers - Understanding the different types of numbers and an introduction to inequalities and absolute value
Exponents and Exponential Expressions - Solving equations involving exponential expressions, including multiplying, dividing, rational exponents and negative exponents
Radical Expressions - Understanding square roots, simplifying radical expressions and mathematical operations involving radical expressions
Algebraic Expressions & Equations - Working with algebraic expressions and solving algebraic equations including linear, quadratic and polynomial equations
Algebraic Distribution - Distributing constants, variables and signs in algebraic expressions
Functions - Understanding functions, including domain, range, inverse functions and function operations
Inequalities - Understanding inequalities, including absolute value inequalities, and graphing 1- and 2-variable inequalities
Linear Equations - Working with linear equations, including graphing, interpreting slope and solving systems of equations
Factoring - Factoring involving numbers and variables, prime factorization and least common multiplies
Quadratic Equations - Solving quadratic equations using the quadratic formula and solving quadratic inequalities
Factoring & Graphing Quadratic Equations - Using FOIL, the area method and completing the square; graphing parabolas in standard, intercept and vertex form
Polynomials - Operations with polynomials, including adding, subtracting, multiplying and dividing using both long and synthetic division
Rational Expressions - Operations with rational expressions, including adding, subtracting, multiplying and dividing
Matrices & Absolute Value - Understanding matrices and finding the determinant; solving and graphing absolute value equations
Statistics & Probability - Calculating mean, median, mode and range; calculating probability with independent and dependent events; interpreting tables, schedules, bar graphs and pie charts

Assignments

Algebraic Expressions

The temperature outside has dropped 13 degrees in the last two hours. If the temperature right now at 7:00 p.m. is 78 degrees, what was the temperature at 5:00 p.m?
Tom builds tree houses for a living, but in the last three years, the cost of building a tree house has gone up 15% due to material costs rising. If three years ago, the cost of building a tree house was $500, how much will it cost Tom to build four tree houses this year?
Simplify the following algebraic expression: 4x(x + 5y) - 3(2xy - 1)
Solve the following equation for x: 8x + 3(4 - 2x) = 10
Janet gets paid $40 for each time she babysits her neighbor's kids. She's been working hard lately to buy a necklace she's been wanting that costs $215. If she babysits the kids 5 times, will she have enough money to buy the necklace?

Inequalities

Franco is collecting seashells. Right now, he has 12 seashells in his pocket. If he collects 3 more seashells a day, how many days will he have to collect seashells so he has at least 21 seashells?
Solve and graph 2x + 6 ≥ 28
Solve and graph 8 > 4 - x ≥ -1
Solve and graph the system of inequalities, labeling each equation on the graph: 2y - 3 ≤ 4x + 1; 4y + 8 > -8; x < 1
Solve and graph y < |x - 3| + 2
Create your own inequality using a real-world scenario from your life. For example, 'My goal is to make at least $100 by selling Girl Scout cookies at $4 a box. So far, I've sold 10 boxes.' The inequality for this situation would look like: 40 + 4x ≥ 100.

Graphing & Factoring Quadratic Equations

Identify the vertex of this parabola: y = 3(x + 5)2 - 6
Rewrite this equation in intercept form: y = 3x2 + 6x - 24
Use the area method to find the product: (7x + 2)(4x - 4)
Factor: x2 + 3x - 28
Factor: 3x3 - 3x2 - 60x
Factor and solve for p: 4p2 + 23p - 6 = 0
Factor and solve for x: 3x2 - 8 = -10x
Rewrite this equation in vertex form: y - 3 = x2 + 6x - 1

Matrices & Absolute Values

Find the determinant:
Find the determinant:
Solve for x: |2x + 7| = 13
Solve for x: -3|2x - 6| - 1 = -13
Identify the vertex of this absolute value graph: y = |x + 7|
Write the equation of the absolute value graph:
Write the equation of the absolute value graph:

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Algebra I: High School