<p>An equation solver is in a TI-83. I'm surprised they don't teach all high school kids how to use it, it's really useful. To get into it (all calculators are preloaded with it), go to "Math" ... then down to the bottom ... hit enter .. and then up. </p>
<p>-You need to type in an equation that equals zero, using the variable "x"
-Once you're done, press "down" once
-To "solve" for "x", hit alpha (the green button), then enter. It might take a few seconds, but it's worth it</p>
<p>Now you're probably wondering, why did I put solve in parentheses .... well, lets do a practice problem and you'll see.</p>
<p>It wouldn't be unusual for an ACT question to ask to find the intersection of
f(x)=x^2+x-1 and
g(x)=3x-4
Now, since you're probably less lazy than me, you'll set them equal to each other, factor, the whole deal. Now don't get me wrong, you could do that, and you're welcome to. But you can make mistakes and it usually takes longer. Instead, try plugging this into your calculator. If they are equal to each other, x^2+x-1=3x-4 .. now you have to bring everything to one side for the TI-83 (sorry, no 89's on the ACT :/) ... so plug in x^2+x-1-(3x-4)=0 ... that's fine, no need to expand that negative, it does it for you. Now go "down" with your arrow. Now this part is the hardest part, but I'm sure you'll get it ... this equation has the possibility of having two answers b/c it's 2nd degree. Now your 83 is too wimpy to spit out all the answers (a 89 will!) so it picks the closest answer to your "guess" (that's the number you have typed in the spot where it says x=851.299999999999 <---- an example #
So, what you generally do is plug in a positive number, then a negative number, and it'll give you the answers. Keep in mind your guesses can be far off.
My only caution with this is if you have an equation with something like 5/x=9.It doesn't like when you divide by x, so you might be better solving that by hand. If you're confused about what i've typed, just ask, i'll help. </p>
<p>To your second question, you should know this, and actually it could be on the ACT. Factoring 2nd degree polynomials and expanding them is all over the place (example: what is (3x+2)(5x-4) expanded) .. also stuff like a+b-2(2a-3b) is on there a lot, where you have to be careful with the negative sign. So yes, I would look over those things, and if they're not on your ACT, they're useful for math class anyways.</p>