PRE-CALCULUS ALGEBRA

About Course

Are you preparing for a college-level algebra course or looking to strengthen your foundational math skills? This course is designed specifically to help you master pre-calculus algebra by working through the diagnostic test problems in Stewart’s Precalculus: Mathematics for Calculus (Essentials Edition)—a trusted text in many academic programs.

In this hands-on video series, each lesson focuses on a real problem from the diagnostic test sections of the book. You’ll learn not only how to solve each problem but also the why behind the methods—giving you a deeper understanding of concepts such as:

Solving linear, quadratic, and polynomial equations
Working with rational, exponential, and logarithmic expressions
Understanding functions and their graphs
Systems of equations and inequalities
Factoring strategies and algebraic manipulation
Real-world problem modeling

Whether you’re a high school student preparing for college math, an adult learner returning to school, or someone looking to solidify algebra skills before diving into calculus, this course offers step-by-step guidance, practical examples, and test-taking strategies.

Gain confidence in solving algebra problems through real diagnostic test examples.
Understand the “why” behind algebraic techniques, not just the “how.”
Master essential topics like linear, quadratic, and rational equations.
Learn to simplify complex expressions and work with logarithms and exponents.
Improve problem-solving speed with guided practice and strategy tips.
Strengthen graphing skills for functions, parabolas, and inequalities.
Build a strong foundation for success in college algebra and calculus.
Identify and avoid common algebra mistakes with expert explanations.
Apply algebra concepts to real-world and word problems.
Prepare effectively for placement exams or pre-calculus readiness tests.

Course Content

EVALUATING AN EXPRESSION

Evaluating an Expression 1A

01:35
Evaluating an Expression 1B

02:18
Evaluating an Expression 1C

01:02
Evaluating an Expression 1D

01:26
Evaluating an Expression 1E

02:03
Evaluating an Expression 1F

02:25
Assignment 1

SIMPLIFYING AN EXPRESSION
You are required to simplify and write your answers without negative exponents.

Simplifying a Surd

04:48
Product of expressions in parentheses

02:32
Division of two expressions with a negative exponent

05:43
Expand and simplify 1A

03:14
Expand and simplify 1B

02:06
Expand and simplify 1C

02:47
Expand and simplify 1D

01:25
Expand and simplify 1E

02:29
Assignment 2

FACTORING AN EXPRESSION

SIMPLIFYING RATIONAL EXPRESSIONS

FINDING REAL SOLUTIONS TO AN EQUATION
You are to find only the real solutions to these equations.

SOLVING INEQUALITIES
You are required to write your answer using interval notation.

IDENTIFYING CORRECT EQUATIONS
State whether each equation is true or false.

Add this certificate to your resume to demonstrate your skills & increase your chances of getting noticed.

Student Ratings & Reviews

5.0

Total 1 Rating

1 Rating

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Francis O. Emmanuel

1 month ago

I enjoyed all the lessons, and the course has improved my skills in algebra.

About Course

What Will You Learn?

Course Content

EVALUATING AN EXPRESSION

Evaluating an Expression 1A

Evaluating an Expression 1B

Evaluating an Expression 1C

Evaluating an Expression 1D

Evaluating an Expression 1E

Evaluating an Expression 1F

Assignment 1

SIMPLIFYING AN EXPRESSION You are required to simplify and write your answers without negative exponents.

Simplifying a Surd

Product of expressions in parentheses

Division of two expressions with a negative exponent

Expand and simplify 1A

Expand and simplify 1B

Expand and simplify 1C

Expand and simplify 1D

Expand and simplify 1E

Assignment 2

FACTORING AN EXPRESSION

Factoring difference of two squares

Factoring a quadratic expression

Factoring a cubic expression

Factoring an expression with degree 4

Factoring an expression with radical exponents

Factoring an expression

Assignment 3

SIMPLIFYING RATIONAL EXPRESSIONS

Simplifying rational expressions 1A

Simplifying rational expressions 1B

Simplifying rational expressions 1C

Simplifying rational expressions 1D

Rationalize and simplify 2A

Rationalize and simplify 2B

Rewrite by completing the square 3A

Rewrite by completing the square 3B

FINDING REAL SOLUTIONS TO AN EQUATION You are to find only the real solutions to these equations.

Solving an equation 1A

Solving an equation 1B

Solving an equation 1C

Solving an equation 1D

Solving an equation 1E

Solving an equation 1F

Solving an equation 1G

Assignment 4

SOLVING INEQUALITIES You are required to write your answer using interval notation.

Solving Inequality 1A

Solving Inequality 1B

Solving Inequality 1C

Solving Inequality 1D

IDENTIFYING CORRECT EQUATIONS State whether each equation is true or false.

True/False I

True/False II

True/False III

True/False IV

Final Quiz

Earn a certificate

Student Ratings & Reviews

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SIMPLIFYING AN EXPRESSION
You are required to simplify and write your answers without negative exponents.

FINDING REAL SOLUTIONS TO AN EQUATION
You are to find only the real solutions to these equations.

SOLVING INEQUALITIES
You are required to write your answer using interval notation.

IDENTIFYING CORRECT EQUATIONS
State whether each equation is true or false.