# SAT Math: Focus on Lines & Systems of Equations

This book is the second in a series that addresses the topics that appear most frequently in the Math section of the New SAT. You’ll review the properties of lines, including their graphs, and look at the different methods for solving systems of linear equations. Then you’ll apply what you know as you solve 25 problems — some done without your calculator and some with, just as it is on test day. Each problem comes with a full explanation of how to arrive at the correct answer.

We’d like to help as many students as possible achieve success on the SAT, so we’ve made the price of each of the volumes in this series just \$0.99.

The book can be purchased on Amazon by clicking on the image to the left or going here.

# SAT Math: Focus on Quadratics & Parabolas

This book will be the first in a series that addresses the topics that appear most frequently in the Math section of the New SAT. You’ll get a chance to review the most important concepts of quadratic equations and the graphs of parabolas. Then you’ll apply what you know to 25 problems — some done without your calculator and some with, just as it is on test day. Each problem comes with a full explanation of how to arrive at the correct answer.

We’d like to help as many students as possible achieve success on the SAT, so we’ve made the price of this volume just \$0.99.

The book can be purchased on Amazon by clicking on the image to the left or going here.

# SAT Math: Completing the Square Problems

Earlier this week, we wrote a post on Completing the Square. Understanding this concept will help you with problems involving both circles and parabolas. If you’ve read through that post and you’re ready to test your skills, you’ll find five problems below that you can try. The solutions can also be found in the links below.

If you have any questions about these problems, completing the square in general, or anything else to do with the SAT, send us an email at info@cardinalec.com .

# SAT Math: Completing the Square

When the new SAT came out in March 2016, it became clear that the test makers were looking to test some skills that hadn’t appeared on the previous version of the test. One of those skills is “completing the square,” which can be helpful when you are working on problems involving circles and parabolas.

So what is completing the square? Well, a perfect square trinomial x² + bx + c is one that can be rewritten in the form (x + k)², where k is some integer. For instance x² + 10x + 25 is a perfect square trinomial because is can be factored into (x + 5)(x + 5) = (x + 5)².

When you are asked to complete the square, you need to find that value of c (there is always only one possible value) that will make the trinomial a perfect square. For instance, suppose you were asked this question:

What number will complete the square for x²  + 6x + ___ ?

# SAT Math: Algebraic Operations

Now more than ever, with the focus of the New SAT Math test being on algebra and functions, you need to make sure that you are an ace at algebraic operations. This includes things like simplifying algebraic expressions, solving linear and quadratic equations, and solving for a variable in a formula.

At the bottom of the page, we have links to 10 SAT practice problems that involve these topics, along with their solutions.

But first, a few friendly reminders (things you’ll probably remember your algebra teacher saying many times over!):