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Campbell University

McMaster University

Harvey Mudd College

Idaho State University

01:38

Jinseop S.

$3-12=$ Using Models Use the model given to answer the questions about the object or process being modeled. The sales tax $T$ in a certain county is modeled by the formula $T=0.06 x .$ Find the sales tax on an item whose price is $\$ 120 .$

07:29

James C.

Using Models Use the model given to answer the questions about the object or process being modeled. An ocean diver models the pressure $P$ ( in $\mathrm{lb} / \mathrm{in}^{2} )$ ) at depth $d$ (in ft) by $$P=14.7+0.45 d$$ (a) Make a table that gives the pressure for each 10 -ft change in depth, from a depth of 0 ft to 60 $\mathrm{ft}$ . (b) If the pressure is $30 \mathrm{lb} / \mathrm{in}^{2},$ what is the depth?

02:13

Taylor S.

Using Models Use the model given to answer the questions about the object or process being modeled. A mountain climber models the temperature $T$ ( in $^{\circ} \mathrm{F}$ ) at elevation $h$ (in ft) by $$T=70-0.003 h$$ (a) Find the temperature $T$ at an elevation of 1500 $\mathrm{ft}$ . (b) If the temperature is 64$^{\circ} \mathrm{F}$, what is the elevation?

01:15

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So this next section is on evaluate expressions that involved multiple operations. So most of the expressions that we have dealt with so far on Lee have one operation. Therefore, you know which operation need to perform. For example, you might have been given the problem to minus five, in which case, you know, it's a subtraction problem. So it was simply, Just subtract, however, what would happen if you were given the problem, like to minus five. I'm seven. The question is, should we subtract and then multiply? Should be, multiply and then subtract. And that's what the order of operations tells us. It gives us an order that we need to evaluate expressions in that have more than one operation. So let's go through the steps. Number one is performed operations inside a grouping symbols and grouping symbols like parentheses, brackets, absolute value symbols, etcetera. And sometimes there might be more than one operation within parentheses or inside one of the grouping symbols, and you should still follow your auto operations within them as well. Step to evaluate your powers, any of your exponents that will come next. Now step three. You'll take care of any multiplication and division. So you're gonna multiply and divide from left to right. And that's the key that your multi going in order from left to right. So there's more than one operation you have to do. Which one comes first. So, for example, if we were given a divided by four times two even though, and this is where people get confused, people used to remember, multiply and then divide. So most people would do four times two and then do eight divided by that value. When really, for this particular problem, you should do your division first because it comes in order first from left to right. So really to do this problem eight divided by forest to and then two times two is four. That would be the proper way to do this problem. So again, from left to right is very important. And then the last step is to take care of any addition or subtraction again going in order from left to right. And it's for the same reason that we discussed above you would get two completely different values. Now, the only other thing that I would like to mention sometimes when evaluating, um up our expressions I should say sometimes they might involve fractions, and if they do, that's okay. What you want to dio is you're going to evaluate both the numerator and the denominator separately. So in other words, you're going thio. Find the value of both the numerator denominator and then you'll divide in the end. Well, let me get rid of that mark right there. So I'll just make one quick note in here. So to subtract or sorry to evaluate fractions, so evaluating fractions. So this is our key here. You're going to evaluate the numerator and denominator separately, so evaluate the numerator and denominator separately. So again, almost treat them like their own separate problems and then divide. Or sometimes if they won't divide into each other, you'll just need to reduce the fraction. But that's the key thing when evaluating factions. So now the next couple of videos will give you some examples of how they use the order of operations

Linear Functions

Solve Linear Inequalities

Functions

Systems of Equations and Inequalities

Graph Linear Functions

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05:31

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