
Solve example sat math problems: determine the least possible area of three positive integers with two tens, use averages, and compare one-variable and two-variable solution approaches.
Learn the splitting the difference technique to solve problems with a given total and a known difference, using a 540 total and 32 difference example.
Learn to solve two-quantity problems with total and difference, split at the middle to find doctors from nurses, and compute voting percentages with proper rounding.
Apply a three-column t-chart to identify three numbers from their cubes and compute the average of their squares, using the example sum of 73.
Explore solving negative-integer problems using square and cube relationships; identify pairs whose squares differ by five, compute their sum, and recognize cases with no real root.
Explore basic algebra formulas, such as (x+y)^2 and (x−y)^2, and apply them to solve for y using x^2−y^2 and x+y.
Apply the identity (x−y)^2 = x^2 + y^2 − 2xy to determine xy from x^2 + y^2 and x−y. Then use the difference of squares, (x+y)(x−y), to solve for x.
Identify your target by understanding what the question asks, then set up and solve simultaneous linear equations to find the combined cost of one apple and one orange.
Solve simultaneous linear equations using substitution or elimination to find y+z (16) by substituting x from the second equation, and compute xyz = sqrt(60) from xy=5, y=3, x=4.
In this short course, we discuss the most frequent questions of SAT, ACT tests as well as teach the required skillset to do these questions flawlessly.
Majority of the SAT Maths questions are easy because they are made with an average student in mind. It gets more difficult to score closer to 800 and similarly, it get's equally difficult to score less than the average score. So, there is no reason to be intimidated by this test. Also for difficult questions, we do not need to know the answer if we can be smart enough to eliminate the wrong ones. This technique is called the 'mathematical contradiction'.
There are some basic ideas that can be helpful to average students to ensure an average score. Until and unless you are good at basics, it is not a good idea to expect average score. These skillset we discuss in this course can help you to ensure average score because SAT maths strictly follows a syllabus with average student in mind. So we have questions of sorts which also demand a specific skillset. When we master these skillsets, we can be certain to solve all such questions which ensure an average score. To score more than average, you will have to know more skillset which will be covered in another course which will cover all such skillsets. Here in this course, we only discuss 6 basic skillsets.