For more information, please see full course syllabus of Basic Math

For more information, please see full course syllabus of Basic Math

## Discussion

## Study Guides

## Practice Questions

## Download Lecture Slides

## Table of Contents

## Transcription

## Related Books

### Expressions and Variables

#### Related Links

- Variable: A letter or symbol that can stand for one or more numbers.
- Expression: A mathematical phrase that includes numbers and variables. These do not have equal signs. Different types of expressions include numerical expressions, algebraic expressions, and word expressions.

### Expressions and Variables

13 × 30 =

14 × 20 =

n - 9, for n = 12

- 12 − 9 =

x + 5, for x = 6

- 6 + 5 =

12 - m, for m = 3

- 12 − 3 =

s ÷ t, for s = 21 and t = 3

- 21 ÷3 =

x ÷ y, for x = 42 and y = 6

- 42 ÷6 =

m ÷ n, for m = 81 and n = 9

- 81 ÷9 =

cd, for c = 4 and d = 8

- (4)(8) =

xy,for x = 9 and y = 8

- (9)(8) =

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

Answer

### Expressions and Variables

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

- Intro 0:00
- Vocabulary 0:06
- Variable
- Expression
- Numerical Expression
- Algebraic Expression
- Word Expression
- Extra Example 1: Evaluate the Expression 2:27
- Extra Example 2: Evaluate the Expression 3:16
- Extra Example 3: Evaluate the Expression 4:04
- Extra Example 4: Evaluate the Expression 4:59

### Basic Math Online Course

### Transcription: Expressions and Variables

*Hi, welcome to Educator.com.*0000

*This lesson is on expressions and variables; let's begin.*0002

*First thing we have to go over--variable; variable.*0009

*A variable is a letter or symbol that can stand for or represent one or more numbers.*0014

*In place of numbers, I have usually letters.*0021

*If I use A or B... I can use X, Y... those are all considered variables.*0026

*I can also use symbols.*0033

*Sometimes in math, we use Greek symbols; or I can use star as a symbol.*0035

*Anything that represents numbers would be considered a variable.*0043

*Expressions; expressions are numbers or mathematical phrases that includes numbers and variables.*0049

*Keep in mind that expressions do not have equal signs.*0058

*If it does have an equal sign, then it would be called something else.*0063

*It would be called an equation.*0066

*We have different types of expressions.*0069

*The first type is a numerical expression; numerical means numbers.*0072

*If we have a numerical expression, it would be an expression, mathematical phrase, that has only numbers.*0077

*Here is an example, 30 plus 5; this is considered a numerical expression.*0086

*There is no variables; we only have numbers.*0092

*The next one--algebraic expression--is the most common type of expression.*0096

*That is when you have both numbers and variables.*0102

*6 plus A is an example of an algebraic expression.*0107

*2X minus 10 is also another example.*0112

*We have A; that is a variable; X is a variable here too.*0115

*2X minus 10 is an algebraic expression.*0120

*The other type is a word expression.*0125

*Word expression is when you use words to express your expression.*0128

*Or you write out your expression using words.*0134

*P divided by 9 would be considered a word expression*0136

*because instead of writing the symbol out, you would write just--divided by--the words.*0140

*Let's do a few examples of evaluating expressions.*0147

*Evaluating just means to solve or simplify the expression.*0150

*If I have a numerical expression, 12 times 20, this is a numerical expression.*0157

*I can actually simplify this out; I can multiply 12 and 20 together.*0164

*12 times 20; 2 times 0 is 0.*0171

*Because it is 0, I can just move on.*0180

*2 times 2 is 4; 2 times 1 is 2.*0182

*When I evaluate this expression, I get 240.*0188

*This next one, M minus 8, that is my expression.*0197

*They want me to evaluate this expression when they tell me that M is equal to 8.*0203

*Here is the expression; let me use black.*0210

*M minus 8 is my expression; they told me that m is 8.*0214

*Remember variables; this is a variable that represents a number.*0220

*The number that it represents is 8.*0224

*This is the same thing as 8 minus 8; my answer is 0.*0228

*When I evaluate the expression M minus 8 when M is equal to 8, then my answer would be 0.*0237

*The next example, I am evaluating the expression, S divided by T.*0245

*S divided by T can also be written like this, as a fraction, S divided by T.*0252

*They are telling me that S is 28 and T is 4; S is 28.*0259

*Instead of writing S, I am going to write out 28*0267

*because S is a variable that represents the number 28 and T represents the number 4.*0270

*I can write it like this; or I can write it just 28 divided by 4.*0281

*It is the same thing; 28 divided by 4 is 7.*0286

*When I evaluate the expression, I get 7 as my answer.*0294

*The final example, example four, evaluate the expression CD.*0300

*When I have two variables next to each other like that, CD, this means C times D; C times D.*0306

*C represents the number 3; it is 3; D represents the number 200.*0316

*If CD means C times D, then it means 3 times 200.*0325

*When I multiply 3 times 200, I get 600.*0332

*When you evaluate the expression CD, when you are given the numbers that they represent, then the answer will be 600.*0342

*That is it for this lesson on Educator.com.*0353

*We will see you next time; thank you.*0356

0 answers

Post by Muhammad Noor on January 4 at 08:19:04 AM

add some ninjas

0 answers

Post by Mohamed E Sowaileh on July 10, 2017

Hello Dr. Mary Pyo,

I hope you are very well,

I am a student who is extremely weak in math. In order to be very strong in math, specially for engineering field, could you provide me with sequential order of mathematical topics and textbooks. With what should I begin so that I can master big topics like calculus, statistics, probability ... etc.

Your guidance is precious to me.

Thank you so much.

0 answers

Post by Winfred Chiles on November 10, 2016

how do i do this

1 answer

Last reply by: Firebird wang

Wed Oct 12, 2016 3:17 PM

Post by Abdullahi Ahmed on June 6, 2016

OK CD DONT YOU MEAN DJ

0 answers

Post by sandra campbell on April 20, 2016

love how you make it so easy to understand

0 answers

Post by Knight PH on November 24, 2015

Teacher ? Are you chinese ?

0 answers

Post by sharla swapp on August 20, 2014

Post by Phillip, age 11 on September 2014.

Your the best teacher ever!!!

0 answers

Post by mohamed mansaray on June 20, 2014

Very simplified and understandable.

0 answers

Post by angel thomas on December 12, 2013

THISISAWESOME

2 answers

Last reply by: Abdullahi Ahmed

Mon Jun 6, 2016 8:06 PM

Post by Qing Wang on July 30, 2013

Is this the middle school math?

1 answer

Last reply by: Abdullahi Ahmed

Mon Jun 6, 2016 8:06 PM

Post by success3 on April 29, 2013

I LOVE YOU MARY

0 answers

Post by Abdiker Mohamud on November 29, 2012

This very calm and cool way to explain the task on hand. Good job, and as they say do it all the way through High school math

0 answers

Post by Abdihakim Ibrahim on July 14, 2012

i loved this!

educator is cool

0 answers

Post by Mya McCulloch on July 6, 2012

Educator.com is a great place to learn.

0 answers

Post by Jerome Plescia on February 4, 2012

Great video

0 answers

Post by Senghuot Lim on December 22, 2011

anybody else have an apple as their icon then my username is 7seng7

0 answers

Post by ozgur kuzu on December 19, 2011

she is great teacher :)

1 answer

Last reply by: Mary Pyo

Fri Feb 3, 2012 11:41 PM

Post by Alexzander s on November 20, 2011

Why cant you do all the videos for math (or at least up to high school math)? The other teachers sound like they're on 5 hour energy to get through each lecture when you sound so calm.

0 answers

Post by Javon Roberts on September 3, 2011

I love you Mary, lol. That's all I can say. This is extremely helpful!!

0 answers

Post by julius mogyorossy on August 27, 2011

Word of advice, before you watch a lesson read the comments by your fellow students, they will point out mistakes that were made, to keep you from feeling insane, if you see something where they act like it was explained earlier but you think it wasn't, you are not crazy, don't worry, they will explain it later, it seems some of the videos were put in the wrong order.

1 answer

Last reply by: Wasay Ahmad

Wed Jan 9, 2013 4:22 PM

Post by judy lee on August 15, 2011

This has great point of explaning Expressions and Variables!!!!!

But the voice is too small to hear.

0 answers

Post by Thomas James Hanrahan on April 26, 2011

Wow! Something professed to be so difficult(Elementary-High School etc.) is explained in simplicity at it's finest! Great reminders of beginnings of math now approaching University Calculus I, begin at the beginning to see if any steps in the process of learning advanced math (algebraic, calculus and otherwise) require microscopic review. Kudos and Thanks for your website. As utilization is confirmed progressively, I will purchase subsequent months subscriptions throughout my pursuit of a Bachelors Degree, Majoring in Computer Science.

TJH

0 answers

Post by Suzanne Keisling Wantland on March 27, 2011

This is awesome for a homeschool parent also!!

0 answers

Post by Romie Rincon on February 25, 2011

45 and going back to school next month...Educator is going to be a great help!! Thanks!!

0 answers

Post by Kelly Gustafson on February 15, 2011

This is great for a Mother that has gone back to school after many years!