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# Pre-Algebra

## Start your algebra journey here with an introduction to variables and equations.

Use diagrams and words to explore the very start of algebra, with puzzles and intuition guiding the way.

By the end of the course, you'll be able to simplify expressions and solve equations using methods that impart deep understanding rather than just procedures. You'll sharpen your problem solving strategies and explore what's really useful about algebra in the first place.

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1. 1

### Variables

1. #### Understanding Variables

Why use letters in the place of numbers?

2. #### Extra Practice

Solve five problems to strengthen your skills.

2. 2

### Expressions

1. #### Understanding Expressions

Evaluate expressions where letters take the place of numbers.

2. #### Extra Practice

Solve five problems to strengthen your skills.

3. 3

### Equations

1. #### Understanding Equations

Make equations and turn unknown values into known values with style.

2. #### Extra Practice

Solve five problems to strengthen your skills.

4. 4

### Review

1. #### Concept Check

Warm up for problem solving with a quick check of key concepts and ideas.

2. #### Problem Solving

Reinforce key concepts and skills through problem solving.

5. 5

### Challenges

1. #### Circle Puzzles

Reason about unknown quantities to conquer this five level puzzle.

2. #### Circle Puzzles with Variables

Conquer this five level puzzle with algebra.

3. #### Catch the Thief

Who stole the candy? Use algebra to solve the mystery in this five level challenge.

6. 6

### Revisiting Equations

Master the art of math with letters.

1. Included with

#### Creating Equations

Before we can solve equations, we have to learn how to make them.

2. Included with

#### Finding Unknowns

Turn unknown values into known values with style.

3. Included with

#### Order of Operations

What order do calculations happen — and does it matter?

7. 7

### Factoring

Take numbers apart and put them back together.

1. Included with

#### Primes

Use prime numbers to see how numbers are formed.

2. Included with

#### Factorization

Split numbers into their component parts by factoring.

3. Included with

#### The Distributive Property

Work with expressions that use both multiplication and addition.

4. Included with

#### Common Factors

Extract factors to turn sums into products.

8. 8

### Simplification

Force the symbols to reveal their hidden meanings.

1. Included with

#### Evaluating Expressions

Reduce tedious calculation by rewriting expressions.

2. Included with

#### Like Terms

See when and how to make expressions shorter.

3. Included with

#### Comparing Expressions

Simplify to quickly find which expression is larger.

4. Included with

#### Problem Solving

Combine the powers of simplification and the distributive property.

9. 9

### Problem Solving

Uncover the rules for solving equations.

1. Included with

#### Revisiting Circle Puzzles

Solve intuitive and fun puzzles that lead directly to solving equations.

2. Included with

#### Circle Puzzles and Equations

How do circle puzzles transform into algebraic equations?

3. Included with