If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

## Grade 6 (Virginia)

### Course: Grade 6 (Virginia)>Unit 7

Lesson 2: Intro to writing algebraic expressions

# Writing basic expressions with variables

Learn to write expressions with variables in math! Discover how to represent various operations like addition, subtraction, multiplication, and division using variables. Master the art of creating expressions for real-life situations, such as finding the sum of two numbers or the difference between two values. Boost your algebra skills and become a pro at handling variables!

## Want to join the conversation?

• What do you put when it says "what is the quotient of 9 and c?"
(20 votes)
• Quotient means division. This is asking you for the division of 9 and c. Does that help?
(39 votes)
• what does increased by mean? Is it multipilying or what?
(6 votes)
• It means addition
If you have 3 apples and I give you 2 more, then your number of apples has increased by 2.
3 + 2 = 5
You now have 5 apples.
Hope this helps.
(14 votes)
• ok so i got a question, 8 increased by g. Simple right? Just supposed to write that in an expression. Same as you would say m decreased by 2 is m-2. But what is 8 increased by g? Just simple adding 8+g?
(9 votes)
• Yes. 8 + g. Everything you can do with a number (add, subtract, multiply, divide, exponentiate, etc.) you can do with a variable. It's just a number with a different name.
(6 votes)
• At and at , for those questions I write the answers as :7(r) and 10(u).
Is that right because that's how I learned it in school.
(6 votes)
• 7(r) and 10(u) do mean "7 times r" and "10 times u", so they do answer the question correctly.
However, in mathematics, we usually want to write things as simply as possible, especially when parentheses are involved. That's why 7r and 10u are preferable answers.
(10 votes)
• how is this so post to help me with Algerbraic Expressions??
(6 votes)
• so...actually using variables and stuff can help in future problems of algebra like finding the whole sum of variable and things
(5 votes)
• Seven multiplied by x can be written as 7x. Can it also be written as x7, since multiplication is commutative?
(4 votes)
• Yeah, nick is right. It's not incorrect, but it's going to turn heads. You'll eventually run into a teacher who won't accept it.
(3 votes)
• is it possible to put the variables before the number in the equation when using multiplication.
(5 votes)
• When using multiplication, it is possible.
You can write `5x` as `x5` because the commutative property of multiplication tells us that these are the same / equal. But, it is generally not written that way. It is much easier to read with the numbers in front of the variable.
(4 votes)
• Write an expression for "the product of 11 and w."What about this one ?
(4 votes)
• dose it mater what order it is in
(1 vote)
• Wouldn't it be commutative?
(6 votes)
• do it matter how you wright it
(5 votes)
• I think I am not sure
(2 votes)

## Video transcript

- [Voiceover] Let's do some examples of the writing expressions with variables exercise. So it says "Write an expression to represent 11 more than a." Well you could just have a but if you want 11 more than a, you would wanna add 11 so you could write that as a plus 11. You could also write that as 11 plus a. Both of them would be 11 more than a. So let's check our answer here. We got it right. Let's do a few more of these. "Write an expression to represent the sum of d and 9." So the sum of d and 9, that means you're gonna add d and 9. So I could write that as d plus 9 or I could write that as 9 plus d. And check our answer. Got that right. Let's do a few more of these. "Write an expression to represent j minus 15." Well, I could just write it with math symbols instead of writing the word minus. Instead of writing M-I-N-U-S, I could write j minus 15. And then I check my answer. Got it right. Let's do a few more of these. This is a lot of fun. "Write an expression to represent 7 times r." There's a couple ways I could do it. I could use this little dot right over here, do 7 times r like that. That would be correct. I could literally just write 7r. If I just wrote 7r that would also count. Let me check my answer. That's right. Let me do a couple of other of these just so you can see that I could've just done 10 and this is not a decimal, it sits a little bit higher than a decimal. It's multiplication and the reason why once you start doing algebra, you use this symbol instead of that kind of cross for multiplication is that x-looking thing gets confused with x when you're using x as a variable so that's why this is a lot more useful. So we wanna write 10 times u, 10 times u, let's check our answer. We got it right. Let's do one more. "Write an expression to represent 8 divided by d." So we could write it as 8 and then I could write a slash like that, 8 divided by d. And there you go. This is 8 divided by d. Let me check, let me check the answer. I'll do one more of these. Oh, it's 6 divided by b. Alright, same thing. So 6, I could use this tool right over here. It does the same thing as if I were to press the backslash. So 6 divided by b. Check my answer. We got it right.