Exponent, Radical, and Polynomial Exercises and Strategies

What you will learn

Solve problems with exponents

Solve problems with radicals

Add and subtract polynomials

Multiply and divide polynomials

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.


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English
language

Content

Exponents

Exponent Rules
Preliminary Exponent Exercises
Solutions for Preliminary Exponent Exercises

Radicals

Radicals
Radical Warm-up Exercises
Solutions for Radical Warm-up Exercises I
Solutions for Radical Warm-up Exercises II
Exponent and Radical Exercises
Exponent and Radical Ex. III Solutions
Exponent and Radical Ex. IV Solutions
SAT-Type Exponent and Radical Exercises
Solutions for SAT-Type Questions of Exponents and Radicals
Solutions for SAT-Type Questions of Exponents and Radicals II

Polynomials: Addition and Subtraction

Polynomials: Addition and Subtraction
Polynomial Preliminary Exercises: Addition and Subtraction
Solutions for Preliminary Polynomial Ex. I–Addition and Subtraction
SAT-Type Polynomial Addition and Subtraction Exercises I
Solutions for SAT-Type Poly. Add. and Sub. Ex. I

Polynomials: Multiplication

Polynomials: Multiplication
Factoring Exercises
Solutions for Algebra Factoring Exercises I
Distribution Exercises
Solutions for Distribution Exercises 1

Polynomials: Division

Polynomials: Division
Polynomial Division Exercises
Solutions for Polynomial Division and Distribution Exercises I
SAT-Type Polynomial Multiplication and Division Exercises
Solutions for SAT-Type Multiplication and Division Polynomial Exercises I