This video discusses key concepts in algebra including expressions, equations, functions, variables, and operations. It explains that an algebraic expression contains numbers, operators, and at least one variable. Variables act as nouns that represent unknown or changing quantities, while operations like addition or multiplication are verbs that describe actions. The document provides examples of how to write expressions and equations using variables to represent real-world situations involving money earned at a job, numbers of cars on a road, or distance from an object.

1. This video is based on CK-12 FOUNDATION CK-12 Basic Algebra Content and they hold the right. Am only showing it in you tube for those who prefer visual learning enjoy Expressions, Equations, and Functions

2. algebraic expression Definition: a mathematical phrase which can contain numbers, operators (add, subtract, multiply, divide), and at least one variable (like x, y) to represent operations Example: An example of an algebraic expression is ; x + 5, 4n ÷ 6. Dictionary.com's 21st Century Lexicon Copyright © 2003-2011 Dictionary.com, LLC

3. A verb is a “doing” word, such as running, jumps, or drives. In mathematics, verbs are also “doing” words. A math verb is called an operation . Operations can be something you have used before, such as addition,multiplication, subtraction or division. They can also be much more complex like an exponent or square root.

4. Example : Suppose you have a job earning $8.15 per hour. What could you use to quickly find out how much money you would earn for different hours of work? Solution : You could make a list of all the possible hours, but that would take forever! So instead, you let the “hours you work” be replaced with a symbol, like h for hours, and write an equation such as: amount of money = 8.15( h )

5. A noun is usually described as a person, place, or thing. In mathematics, nouns are called numbers and variables . A variable is a symbol, usually an English letter, written to replace an unknown or changing quantity.

6. Example: What variables would be choices for the following situations: a. the number of cars on a road b. time in minutes of a ball bounce c. distance from an object Solution: There are many options, but here are a few to think about. a. Cars is the changing value, so c is a good choice b. Time is the changing value, so t is a good choice c. Distance is the varying quantity, so d is a good choice.

7. Just like in the English language, mathematics uses several words to describe one thing. For example, sum, addition, more than, and plus all mean to add numbers together. The following definition shows an example of this. Definition: To evaluate means to follow the verbs in the math sentence. Evaluate can also be called simplify or answer. To begin to evaluate a mathematical expression , you must first substitute a number for the variable. Definition: To substitute means to replace the variable in the sentence with a value.