Math Sat Express Part I

Exponent, Radical, and Polynomial Exercises and Strategies

What you'll learn
Solve problems with exponents
Solve problems with radicals
Add and subtract polynomials
Multiply and divide polynomials
Requirements
Algebra I
Description
This is a quick review of problems on the math sections 3 and 4 of the SAT test that include exponents, radicals and polynomials.  Each concept will consist of a review of the rules.  Then, you will practice the basics, including the typical questions that all students must be able to answer comfortably.  Once you have finished covering the fundamentals, you will be ready to solve problems that are similar to the SAT.  The majority of the SAT-type questions are similar to the practice SAT tests provided by the College Board, but with different numbers.  You will see all of the solutions in a pdf format as well as a video solution with my comments and tips on the best ways to solve these problems.  Since this course is designed for those of you who are already adept at solving math problems, it is a condensed version of a longer course that I teach in my group class and one-on-one sessions. Please note that there is a no calculator section, so be sure to review your basic arithmetic on your own time if need be.  You don't want to lose time for having to stop and think about basic addition and multiplication problems.

Overview

Section 1: Exponents

Lecture 1 Exponent Rules

Lecture 2 Preliminary Exponent Exercises

Lecture 3 Solutions for Preliminary Exponent Exercises

Section 2: Radicals

Lecture 4 Radicals

Lecture 5 Radical Warm-up Exercises

Lecture 6 Solutions for Radical Warm-up Exercises I

Lecture 7 Solutions for Radical Warm-up Exercises II

Lecture 8 Exponent and Radical Exercises

Lecture 9 Exponent and Radical Ex. III Solutions

Lecture 10 Exponent and Radical Ex. IV Solutions

Lecture 11 SAT-Type Exponent and Radical Exercises

Lecture 12 Solutions for SAT-Type Questions of Exponents and Radicals

Lecture 13 Solutions for SAT-Type Questions of Exponents and Radicals II

Section 3: Polynomials: Addition and Subtraction

Lecture 14 Polynomials: Addition and Subtraction

Lecture 15 Polynomial Preliminary Exercises: Addition and Subtraction

Lecture 16 Solutions for Preliminary Polynomial Ex. I–Addition and Subtraction

Lecture 17 SAT-Type Polynomial Addition and Subtraction Exercises I

Lecture 18 Solutions for SAT-Type Poly. Add. and Sub. Ex. I

Section 4: Polynomials: Multiplication

Lecture 19 Polynomials: Multiplication

Lecture 20 Factoring Exercises

Lecture 21 Solutions for Algebra Factoring Exercises I

Lecture 22 Distribution Exercises

Lecture 23 Solutions for Distribution Exercises 1

Section 5: Polynomials: Division

Lecture 24 Polynomials: Division

Lecture 25 Polynomial Division Exercises

Lecture 26 Solutions for Polynomial Division and Distribution Exercises I

Lecture 27 SAT-Type Polynomial Multiplication and Division Exercises

Lecture 28 Solutions for SAT-Type Multiplication and Division Polynomial Exercises I

This course is designed for students who are short on time and need a quick math review for the SAT.