have several possible
correct answers. None
is more correct than any
other, so grid in the first
one you find and move on.Here’s How to Crack It
With double inequalities or equations, don’t try to do the entire problem at once. It’s much easier to split
this problem into two smaller problems:
4 < 3x + 2 and 3x + 2 < 5Solve each one. For the first inequality, start by subtracting 2 from both sides, leaving 2 < 3x. Divide by
3, leaving (approximately) 0.666 < x. For the other inequality, start, as before, by subtracting 2 from both
sides, leaving 3x < 3. Divide by 3 to get x < 1. Combining both inequalities back together, you’ll get that x
is between 0.666 and 1.
So, what do you enter as your answer? Anything between .666 and 1. Really. Anything. .8, .954, .667,
.999, 5/6, 7/8, 9/10, whatever.
EXTENDED THINKING
The last two questions in Section 4 (calculator allowed) will be a pair of Grid-Ins that ETS and the
College Board refer to as Extended Thinking questions. It claims that these questions, drawn from real-
world contexts, will assess a student’s ability to apply “complex cognitive skills.” Don’t panic, though.
Aside from being paired and sometimes more difficult, they are not any different than other Grid-Ins.
Many of the same strategies will apply to the Extended Thinking questions. They can be drawn from pretty
much any mathematical content, from problem solving to functions, and they are only worth one point
each.
Extended What?
The last two Grid-Ins will
be a pair of questions
based on the same information.
They can cover
any of the previous math
content, and they are still
worth just one point each.
Use your knowledge of
your own test-taking skills
to decide which of these
you want to try, if you do
them at all.Let’s look at a set.