 Here's a little video to help you get through algebra worksheet number 3. So algebra is basically an equation where there's an X or An unknown can be wise it can be any letter It's we don't know what this number is and the thing you have to remember about an algebra is that it's an equation That you want to maintain balance. So I have drawn this scale here to show you what I mean Notice that my scale is level. It's balanced I have the same amount of weight on the left side same amount of weight on the white set right side And if we looked at this equation here two plus three equals five you would notice that two plus three is five So I have a five on the left side and I have a five on the right side So my equation is balanced. You're always looking to balance an equation in algebra Okay, we're gonna look at this equation X minus seven equals 19 And we're gonna work on the steps that we need to solve algebra equations The first thing I want to think about is that I want to isolate the variable and that means I want to keep X by itself And I want to get the rest of the numbers attached to hit over to the other side. That's our goal So we look at what's keeping that number to the unknown What is keeping that seven to the X and we can see that it's this negative sign the subtraction sign here So let's do the opposite a negative seven the opposite is a positive seven So I'm gonna add seven to this side keep in mind our balance, right? If I add seven to the left side of the equation, is it gonna keep our scale balanced? No, so I have to add seven to the right side of the equation When I have a negative seven and a positive seven here these cancel out It's like having no money in the bank and then putting a deposit in okay It's I was in the whole seven dollars and I deposit seven dollars. I am now at zero. Yay This brings down my X. I haven't used him or done anything with him I bring down my equal sign and then I have 19 plus seven Which is 26 and I can always check my algebra equations to see if I'm correct if I took 26 And I subtracted seven what I get 19 Yes, or no Yes So I have balanced my equation. I'm good Let's look at some algebra equations that deal with decimals and We're pretty familiar decimals. We deal with money all the time. It's the same steps Isolate the variable keep that X there look at what is connected to the X. It's a negative 13.2 Do the opposite? Opposite of a negative is a positive. So I'm gonna add 13.2 to this side if I add it to the left I Have to add it to the right and notice I am lining up my decimal numbers Whenever you add or subtract you line up your decimal numbers This left side cancels out leave me with just X Three plus zero is three seven plus two is seven nine bring my decimal point down seven and three So my answer is thirty seven point nine three and I could put this thirty seven point nine three Back in and check my work To see if it actually does balance and I'm gonna line up my numbers 24.73 yes So that means we're doing a good job Let's look at one. Let's look at one more problem with algebra isolate our variable Do the opposite of a negative four which is add four notice this is a whole number in here I have a decimal so I have to make sure that I put in a decimal point at the end Think of whole numbers as money four dollars and zero cents So my answer is sixteen point one sixteen point one minus four is twelve point one