# Sat Problem Solving

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Knowing this, we can see that Triangle ABC is similar to the 3-4-5 triangle, each side of ABC 4 times the length of the 3-4-5 triangle.3.

Knowing that triangle ABC is similar to a 3-4-5 triangle, and that triangle DEF is also similar to a 3-4-5 triangle, we can find \(sin\: F\) by substituting 3-4-5 for the sides of DEF and using the definition of sine: 1.

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 \(.02\).

We suggest you try solving these on your own before looking at the answer and our suggested solution.

Remember: we’ve given you just one way to solve the problem. Before we go into the questions, we want you to understand the terms that the College Board uses to categorize the topics.The amount of points obtained in each section, and thus on the entire test, is always a multiple of 10.The SAT is widely regarded as being trivial compared to the AMC series competitions because it is meant for a large audience.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.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.A grid-in question can test any of the topics above and is found at the end of each portion of the math test, both no-calculator and calculator.This is similar to the earlier problem where there are only variables, but if we proceed step-by-step and manipulate the equation carefully, we can find the solution.In this problem, we have two fluids, and one of them is moving at a velocity of \(1\) and the other at \(1.5\).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.

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