# Ch 1: Honors Algebra 1: Basic Arithmetic Review

### About This Chapter

## Honors Algebra 1: Basic Arithmetic Review - Chapter Summary and Learning Objectives

These lessons were developed as a review of basic arithmetic. They are short videos, each with a quiz to be taken at the end to assess your understanding of the material you just studied. If you need to go back over anything, you can use the transcript or you can use the video timeline tool to replay any specific section you want. Also, you can ask questions of the instructor. When you have finished this chapter you should know:

- The commutative, associative and distributive properties
- The greatest common factor and the least common multiple
- Different parts of a graph
- The order of operations in math
- Many aspects of working with word problems

Lesson | Objective |
---|---|

The Commutative Property: Definition and Examples | Examine the commutative property and how it works. |

The Associative Property: Definition and Examples | Get to know the associative property, one of the backbones of algebra. |

Distributive Property: Definition, Use & Examples | Review the distributive property. |

How to Find the Greatest Common Factor | Discover how to find the largest number two numbers have in common. |

How to Find the Least Common Multiple | See how to find the smallest number that can be divided evenly by two original numbers. |

What Are the Different Parts of a Graph? | Analyze a graph's various parts. |

What Is the Order of Operations in Math? - Definition & Examples | Consider the order of operations for solving math problems. |

Solving Word Problems: Steps & Examples | Take a look at the steps for solving word problems. |

Solving Word Problems with Multiple Steps | Get comfortable with how to solve word problems with multiple steps. |

Restating Word Problems Using Words or Images | Figure out how to use sketches or notes to visualize a word problem. |

Personalizing a Word Problem to Increase Understanding | Learn to personalize a word problem to make it easier to solve. |

How to Simplify Word Problems with Fractions Using Whole Numbers | Get a handle on using whole numbers to solve word problems with fractions in them. |

### 1. The Commutative Property: Definition and Examples

There are three major properties that deal with the addition and multiplication of numbers. One of those properties is the commutative property. This lesson will define and give examples of the commutative property and how it works.

### 2. The Associative Property: Definition and Examples

There are three basic number properties that help to form the backbone of algebra. One of those properties is the associative property. This lesson will define the associative property and give some examples of how it works.

### 3. Distributive Property: Definition, Use & Examples

After completing this lesson, you will be able to state the distributive property and apply it to various types of problems. You will also be able to accurately perform the mathematical operations that are involved with the distributive property.

### 4. How to Find the Greatest Common Factor

If the factors of a number are the different numbers that you can multiply together to get that original number, then the greatest common factor of two numbers is just the biggest one that both have in common. See some examples of what I'm talking about here!

### 5. How to Find the Least Common Multiple

The least common multiple of two numbers is the smallest number that can be divided evenly by your two original numbers. See some examples of what I'm talking about here!

### 6. What Are the Different Parts of a Graph?

Being able to read a graph isn't just vital for an algebra class. Graphs and charts are used everywhere! We'll take a crash course on the basic x/y plane used in algebra and the fundamental vocab you need.

### 7. What Is The Order of Operations in Math? - Definition & Examples

The order of operations is the steps used to simplify any mathematical expression. In this video, learn how to solve problems using these steps and easy tricks to remember them.

### 8. Solving Word Problems: Steps & Examples

Watch this video lesson to learn how you can solve word problems by following this 3-step process. Learn how to visualize your problem so you fully understand it. Then learn how to write and solve your equations.

### 9. Solving Word Problems with Multiple Steps

Not all word problems are so straightforward that they only require you to do one operation and you're done. Some are more complicated, requiring several steps. Watch this video lesson to learn how to solve these kinds of problems.

### 10. Restating Word Problems Using Words or Images

Watch this video lesson to learn how you can use sketches and notes to help you visualize a problem. Watch how easy it becomes to solve your problem once you have visualized it.

### 11. Personalizing a Word Problem to Increase Understanding

When it comes to word problems, being able to personalize a word problem with more familiar situations will help you a lot in your problem solving. Watch this video lesson to learn how you can restate the word problem in terms you understand.

### 12. How to Simplify Word Problems with Fractions Using Whole Numbers

Watch this video lesson to learn how to solve word problems with fractions in them easily by turning your fractions into whole numbers. Learn what you need to do to get rid of your fractions so you can easily solve your problem.

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### Other Chapters

Other chapters within the Honors Algebra 1 Textbook course

- Honors Algebra 1: Fractions & Decimal Review
- Honors Algebra 1: Calculations, Ratios, Percent & Proportions
- Honors Algebra 1: Properties of Real Numbers
- Honors Algebra 1: Exponents & Scientific Notation
- High School Algebra: Radical Expressions
- Honors Algebra 1: Composing Algebraic Equations & Expressions
- Honors Algebra 1: Solving Algebraic Expressions & Equations
- Honors Algebra 1: Properties of Functions
- Honors Algebra 1: Absolute Value Expressions & Equations
- Honors Algebra 1: Matrices in Linear Equations
- High School Algebra: Working With Inequalities
- High School Algebra: Properties of Exponents
- High School Algebra: Properties of Polynomial Functions
- Honors Algebra 1: Vectors in Linear Algebra
- High School Algebra: Complex and Imaginary Numbers
- High School Algebra: Algebraic Distribution
- Honors Algebra 1: Linear Equations
- High School Algebra: Factoring
- Honors Algebra 1: Factoring with FOIL, Graphing Parabolas & Solving Quadratics
- Honors Algebra 1: Graphing & Factoring Quadratic Equations
- High School Algebra: Rational Expressions
- High School Algebra: Cubic Equations
- Honors Algebra 1: Descriptive Statistics
- Honors Algebra 1: Data Analysis
- Honors Algebra 1: Probability & Statistics
- Honors Algebra 1: Units of Measurement in Geometry
- Honors Algebra 1: Shapes of Geometry
- Honors Algebra 1: Similar Polygons
- Honors Algebra 1: Pre-Calculus Geometry
- High School Algebra: Well-Known Equations
- Honors Algebra 1: Maximum & Minimum Value of Functions
- Honors Algebra 1: Patterns in Math