 This video is going to talk about translating words into algebraic expressions. So when we see a problem like this one, three less than a number. This is a very key phrase, the less than. That always tells you to, if you see a less than or even a more than, although it's not as important with a more, but if anytime I see the than, I think switch the order. So it looks like the three comes first, but the three will go on this side, and the number will go on this side. So the number, we'll call it in, less than means subtract, okay, we want to subtract here. So we're going to subtract, and then minus three. See how we switched the order? So let's look at this one. The difference, difference just means subtract, I don't have to worry about order. So order stays the same. So if I want to do this one, it's the difference of a number, so that would be in, and so I'm going to call this difference, we're going to make it green, and 15, and minus 15. The sum of a number, remember that sum means plus, and it's the same order, because it doesn't have that van in it. So it's going to be an in, and 12, and we have, change my color here, we have an addition. So we would do, say that that is in, plus 12, okay. Next problem, product means multiply, and it's the same order. The only one you have to worry about is when it says less than, those are the ones you have to really watch. So it's the same order. So you're going to have the product of a number, we'll call that in, and seven. So in times seven. All right, here we have a more than, and I don't like to have to worry about whether I have a rule once. It's kind of like English, you know how sometimes it's I before E, except after C. I don't like those rules, because it makes it difficult to remember. So we're just going to say every time you see this then, you're going to switch the order. Oops, I forgot my C. All right, so that means that the six is going to be over here, and the four times the number is going to be on this side. Okay, we also have a couple of the things going on here though, because we have four times, and that means multiply. So I have four times a number, but I have six more than that, remember more than is going to be addition, and I have to switch the order so the six comes last. So we can rewrite this as four n plus six. Four times a number plus six. Six more than. I'm going to add on to the four times a number. Product of four and a number is increased by five. So let's look at our operations here. We have a product, that's multiplication, and then we have our four and a number. So all of this goes together, because that's a product. Product of four and a number is increased, and increased sounds like plus, and then we've got our five, all right? So we increase by five, same order. So how do we write the product of four and n? We would have four and a number, four times n, or just four n, increased, plus, and then our five. Last one, quotient of four times a number and five. What's a quotient? Well, a quotient is division, okay? So the quotient of four times a number, there's multiplication, this is really four, and number, we'll call that n, and five. So we have, five is going to go in a different place. So we need to put that in like this. So this is our first part, it's going to be four n, and then we do the quotient, and then we can do the last part, the five.