Rational equations look scary, but there are very simple ways of solving them. One way is to factor out
like terms and then cancel. All in all, the test writers can’t get too messy here, so they will keep the math
nice and tidy.
Try one:
18.If , then which of the following could be a value of x ?
A) –7
B) –5
C) 0
D) 6
Quick and Painless
Use PITA! Just be careful
with your calculations,
since you can’t use your
calculator.
Here’s How to Crack It
Hate factoring? PITA! Start with (C) and plug in 0 for x. Does everything work out? In this case, it
doesn’t. Keep trying other answer choices until you find one that works. Choice (A) does, so that’s the
correct answer choice. See? These are all bark and no bite.
Solving Radical Equations
We covered this topic in the previous chapter, but here’s another example of solving radical equations
using the PITA approach.
11.
= 3 – x
If k = 3, what is the solution set of the equation above?
A) {–2}
B) {2}
C) {2, 6}
D) {6}
Here’s How to Crack It