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02:07

Taylor S.

Suppose gas costs $\$ 3.50$ a gallon. We make a model for the cost $C$ of buying $x$ gallons of gas by writing the formula $C=$ _________.

0:00

Kyle I.

Using Models Use the model given to answer the questions about the object or process being modeled. The distance $d$ (in mi) driven by a car traveling at a speed of $v$ miles per hour for $t$ hours is given by $$d=v t$$ If the car is driven at 70 milh for 3.5 $\mathrm{h}$ , how far has it traveled?

00:52

Amy J.

The model $L=4 S$ gives the total number of legs that $S$ sheep have. Using this model, we find that 12 sheep have $L=$ __________ legs.

00:57

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So next example, we're being asked to write the phrase as a variable expression on. We're gonna let X represent the number so essentially were given a phrase and we want to write an algebraic expression that represents it. So let's start with number one. It says nine minus and number. So the first thing we want to do is pick out what operation this problem is telling us about. So our key word here is minus remember, minus means to subtract. Well, what two things do we subjecting? Were subjecting nine and a number which remember we referred to as X. So in terms of writing an algebraic expression for it, this will be nine number. Bring down AR minus sign and then x Alright, let's try number two. So it says the number decreased by 11 again. First, look for your key word or phrase to represent the operation, which in this case is decreased by remember, decrease means subtract. Well, what do we subtracting or saying? We're taking a number and we're decreasing it by 11. Remember to represent a number, we're going to use X. So this says we're gonna take X. We're going to decrease it by 11, meaning we're going to subtract 11 from that number, So X minus 11 will be the correct algebraic expression. Now let's take a look at number three, it says, eight less than the number again. First, pick out the freeze that represents the operation, which in this case is the phrase less than less than needs to subtract. Now we have to always be very careful with subtraction because the order matter here. So let's think about what this is saying. It says we're going to take a less than a number, which remember a number referring to his ex. Well, let's think about this. If we're taking eight less than a number, that means we're taking a away from that original number, meaning we would have to start with the number, which is X, and we're taking away eight from it. So the correct algebraic expression in this case would be X minus eight. So always be careful. When you see the phrase lesson, usually you're gonna end up switching the order of it.

Linear Functions

Solve Linear Inequalities

Functions

Systems of Equations and Inequalities

Graph Linear Functions

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