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3 means you won $3.

-4 means you lost $4.

3+(-4) means you won $3 and then lost $4, a net loss of $1. This is why 3+(-4)=-1.

Make sense?

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Unit 1 Lesson 1: Positive and Negative Numbers

-4 means you lost $4.

3+(-4) means you won $3 and then lost $4, a net loss of $1. This is why 3+(-4)=-1.

Make sense?

Everyone loves fractions! This unit reviews fraction operations (add/subtract/multiply/divide).

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Unit 2 Lesson 1: Mixed Numbers and Equivalent Fractions

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Unit 2 Lesson 2: Add and Subtract Fractions

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Unit 2 Lesson 3: Multiply and Divide Fractions

We will learn some basic Algebra skills in this unit.

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Unit 3 Lesson 1: Introduction to Absolute Value

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Unit 3 Lesson 2: Introduction to Exponent

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Unit 3 Lesson 3: Order of Operations

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Unit 3 Lesson 4: Evaluate Expressions

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Unit 3 Lesson 5: Simplify Expressions

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Unit 3 Lesson 6: Translate Words into Algebraic Expressions

- Introduction to Absolute Value Lecture Notes
- Introduction to Absolute Value Video Lecture
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- Introduction to Exponent Lecture Notes
- Introduction to Exponent Video Lecture
- Three Exponent Rules Lecture Notes
- Exponent Rules Video Lecture 1
- Exponent Rules Video Lecture 2
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- Evaluate Expressions Lecture Notes
- Evaluate Expressions Video Lecture 1
- Evaluate Expressions Video Lecture 2
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Solving linear equations is the foundation for all later mathematics.

Memorize the following steps: (There will be similar variations in these steps.)

1. Get rid of () by distributive property.

2. Combine like terms.

3. Move x terms to one side of =.

4. Move numbers to the other side of =.

5. Get rid of the number in front of x.

Here is an example:

3(x-3)+10 = x+7 To do Step 1: Get rid of () by distributive property.

3x-9+10 = x+7 To do Step 2: Combine like terms.

3x+1 = x+7 To do Step 3: Move x terms to one side of =.

3x+1-x = x+7-x

2x+1 = 7 To do Step 4: Move numbers to the other side of =.

2x+1-1 = 7-1

2x = 6 To do Step 5: Get rid of the number in front of x.

2x/2 = 6/2

x = 3

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Unit 4 Lesson 1: Solve One-Step Linear Equations

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Unit 4 Lesson 2: Solve Two-Step Linear Equations

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Unit 4 Lesson 3: Solve Multi-Step Linear Equations

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Unit 4 Lesson 4: Solve Linear Equations with Speical Solutions

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Unit 4 Lesson 5: Solve Linear Equations with Fractions

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Unit 4 Lesson 6: Solve for a Variable

Memorize the following steps: (There will be similar variations in these steps.)

1. Get rid of () by distributive property.

2. Combine like terms.

3. Move x terms to one side of =.

4. Move numbers to the other side of =.

5. Get rid of the number in front of x.

Here is an example:

3(x-3)+10 = x+7 To do Step 1: Get rid of () by distributive property.

3x-9+10 = x+7 To do Step 2: Combine like terms.

3x+1 = x+7 To do Step 3: Move x terms to one side of =.

3x+1-x = x+7-x

2x+1 = 7 To do Step 4: Move numbers to the other side of =.

2x+1-1 = 7-1

2x = 6 To do Step 5: Get rid of the number in front of x.

2x/2 = 6/2

x = 3

- Solve One-Step Linear Equations Lecture Notes
- Check a Solution Video Lecture
- Solve One-Step Linear Equations Video Lecture
- Solve One-Step Linear Equation with Fractions Video Lecture 1
- Solve One-Step Linear Equation with Fractions Video Lecture 2
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- Solve Multi-Step Linear Equations Lecture Notes
- Solve Multi-Step Linear Equations Video Lecture 1
- Solve Multi-Step Linear Equations Video Lecture 2
- Solve Multi-Step Linear Equations Video Lecture 3
- Summary of Solving Linear Equations Video Lecture
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- Solve Linear Equations with Speical Solutions Lecture Notes
- Solve Linear Equations with Special Solutions Video Lecture 1
- Solve Linear Equations with Special Solutions Video Lecture 2
- Solve Linear Equations with Special Solutions Video Lecture 3
- Solve Linear Equations with Special Solutions Video Lecture 4
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No one is born to solve word problems. You need to learn how to solve a few different types of word problems. At first, they seem unrelated to each other. However, once you see the similarity among different types of word problems, you will get the hang of solving them.

This unit will help you build a foundation for more difficult word problems in a later unit.

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Unit 5 Lesson 1: Basic Word Problems

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Unit 5 Lesson 2: "Given Sum, Find Parts" Word Problem

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Unit 5 Lesson 3: "Rate and Starting Value" Word Problems

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Unit 5 Lesson 4: Percentage Word Problems

This unit will help you build a foundation for more difficult word problems in a later unit.

- Basic Word Problems Lecture Notes
- Number Word Problems Video Lecture 1
- Number Word Problems Video Lecture 2
- Consecutive Integers Word Problems Video Lecture
- Consecutive Odd Integers Word Problems Video Lecture
- Word Problems Involving Rectangle Perimeter Video Lecture
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- "Given Sum, Find Parts" Word Problem Lecture Notes
- "Given Sum, Find Parts" Word Problem Video Lecture
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- "Rate and Starting Value" Word Problems Lecture Notes
- "Rate and Starting Value" Word Problems Video Lecture 1 (watch from 11:23 till 16:17)
- "Rate and Starting Value" Word Problems Video Lecture 2
- "Rate and Starting Value" Word Problems Video Lecture 3
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- Basic Percentage Word Problems Lecture Notes
- Basic Percentage Word Problems Video Lecture (watch the first 8 minutes)
- Percent of Increase/Decrease Problems Lecture Notes
- Percent of Increase/Decrease Problems Video Lecture (watch from 16:23)
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Solving linear inequalities follow the same procedures of solving linear equalities. Get rid of parentheses, ...

There is one major difference.

We know 2>1 is true. If we multiply -1 on both sides of 2>1, we have -2<-1. Notice that the direction of the inequality symbol changed!

Rule: When we multiple or divide a negative number on both sides of an inequality, we must switch the direction of the inequality symbol. Why? I just showed you with the 2>1 and -2<-1 example.

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Unit 6 Lesson 1: Solve Linear Inequalities

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Unit 6 Lesson 2: Solve Linear Inequalities with Speical Solutions

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Unit 6 Lesson 3: Inequality Applications

There is one major difference.

We know 2>1 is true. If we multiply -1 on both sides of 2>1, we have -2<-1. Notice that the direction of the inequality symbol changed!

Rule: When we multiple or divide a negative number on both sides of an inequality, we must switch the direction of the inequality symbol. Why? I just showed you with the 2>1 and -2<-1 example.

- Solve Linear Inequalities Lecture Notes
- Solve Linear Inequalities Video Lecture
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- Inequality Applications Lecture Notes
- Inequality Applications Video Lecture 1
- Inequality Applications Video Lecture 2
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Assume your house is worth $200,000 and you paid $1,200 of property tax last year. Your neighbor's house is worth $240,000, and he paid $1,250 of property tax last year. Is it fair?

Proportion will tell you this is not fair: You are not paying your fair share! How can that be? Well, this unit will show you.####
Unit 7 Lesson 1: Solve Proportions

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Unit 7 Lesson 2: Solve Proportion Word Problems

Proportion will tell you this is not fair: You are not paying your fair share! How can that be? Well, this unit will show you.

- Solve Proportions Lecture Notes
- Solve Proportions Video Lecture
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In this unit, we learn how to find the perimeter and area of some common shapes.
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Unit 8 Lesson 1: Perimeter and Area

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Unit 8 Lesson 2: Volume of Rectangular Prisms and Cylinders

- Volume Lecture Notes
- Volume Video Lecture
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This unit is the core of Algebra. Math is used to model all types of real-life data. Linear model is a basic type.

For example, a tree was 2 feet tall when it was planted. It grows 0.4 feet every year. To model this situation, we use the equation y=0.4x+2.

0.4 is this line's slope, implying the tree grows 0.4 feet per year.

2 is this line's y-intercept, implying the tree was 2 feet tall when it was planted.

It would be very helpful if you understand and memorize this scenario. All the other linear models are similar.

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Unit 9 Lesson 1: Coordinate System Basics

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Unit 9 Lesson 2: Graph a Line by Table

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Unit 9 Lesson 3: Introduction to Slope

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Unit 9 Lesson 4: Slope-Intercept Form Equations

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Unit 9 Lesson 5: Standard-Form Linear Equations

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Unit 9 Lesson 6: Summary of Graphing Lines

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Unit 9 Lesson 7: Find Equation of a Line

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Unit 9 Lesson 8: Linear Equation Applications

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Unit 9 Lesson 9: Parallel and Perpendicular Lines

For example, a tree was 2 feet tall when it was planted. It grows 0.4 feet every year. To model this situation, we use the equation y=0.4x+2.

0.4 is this line's slope, implying the tree grows 0.4 feet per year.

2 is this line's y-intercept, implying the tree was 2 feet tall when it was planted.

It would be very helpful if you understand and memorize this scenario. All the other linear models are similar.

- Coordinate System Basics Lecture Notes
- Coordinate System Basics Video Lecture
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- Graph a Line by Table Lecture Notes
- Graph a Line by Table Video Lecture
- Vertical and Horizontal Lines Lecture Notes
- Vertical and Horizontal Lines Video Lecture
- Is Point on a Line Lecture Notes
- Is Point on a Line Video Lecture (start from 4:50)
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- Slope-Intercept Form Equations Lecture Notes
- Slope-Intercept Form Equation Video Lecture 1
- Slope-Intercept Form Equation Video Lecture 2 (watch from 7:08 to 13:50)
- Graph Lines by Slope and Y-Intercept Lecture Notes
- Graph Lines by Slope and Y-Intercept Video Lecture
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- Standard-Form Linear Equations Lecture Notes
- Standard-Form Linear Equations Video Lecture 1
- Standard-Form Linear Equations Video Lecture 2
- Graph Lines by Intercepts Lecture Notes
- Graph Lines by Intercepts Video Lecture
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- Summary of Graphing Lines Lecture Notes
- Summary of Graphing Lines Video Lecture
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- Write a Linear Equation by Graph Lecture Notes
- Write a Linear Equation by Graph Video Lecture
- Write a Linear Equation by Slope and a Point Lecture Notes
- Write a Linear Equation by Slope and a Point Video Lecture 1
- Write a Linear Equation by Slope and a Point Video Lecture 2
- Point-Slope Form Video Lecture
- Write a Linear Equation by Two Points Lecture Notes
- Write a Linear Equation by Two Points Video Lecture 1
- Write a Linear Equation by Two Points Video Lecture 2
- Write a Linear Equation by Two Points Video Lecture 3
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Trigonometry sounds mysterious and difficult, but ...

they are simply ratios!####
Unit 10 Lesson 1: Introduction to Trigonometry Ratios

they are simply ratios!

- Introduction to Functions Lecture Notes
- Introduction to Functions Video Lecture
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