*Most students find grid-in questions harder than the multiple-choice because some test tactics—like substituting answer choices into the problem—don’t work.*You’ll need to find the correct solution without any help from answer choices.We’ve also included how many questions fall under each category, so if you’re self-studying, you can prioritize the types of questions that appear more often.

Rewriting word problems to include words like equal to, less than, more than, sum, and so on can help you easily translate the problem into equations and inequalities.2.

We’re told that Roberto wanted to sell \(57\) insurance policies but he didn’t meet his goal, which means that he sold less than \(57\) insurance policies. Next, we’re told that the value of all the policies sold was more than \(\$3,000,000\).

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These questions come from the free SAT practice tests because we wanted to make sure that we show you questions representative of those you’ll see on the real test.

We’ve chosen a variety of question types, but this isn’t an exhaustive representation of all the math topics or types of questions on the SAT.“Hard” is a little subjective; we think these questions are difficult based on working with many students, but you may find some of them easy.

A larger standard deviation means that the points in the data set are more spread out from the mean value, and a smaller one means that the points in the data set are close to the mean value. The discriminant is the part of the quadratic formula under the radical, or \(b^2-4ac\).

Likewise, you’ll need to know what is meant by range. Let’s first determine the standard deviations of each data set relative to each other. If the discriminant is positive, there are 2 solutions; if the discriminant is 0, there is 1 real solution (or a repeated solution); if the discriminant is negative, there are no real solutions.

The first question asked for the value of \(x\) in the expression.

Because her bank account earns \(2\%\) interest compounded annually, we can convert \(2\%\) to a decimal, giving us \(.02\).

## Comments The Hardest Math Problem

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