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College Algebra: Equations, Functions and Graphs – AI Tutor-Enabled Course Book

Q: Do I need to know algebra already?

Basic arithmetic is enough. Module 1 rebuilds the essentials before moving on.

Q: Is it the same as a typical college algebra syllabus?

It covers the topics found in most college algebra courses, in the usual order.

Q: Will it help with placement tests?

Yes. Placement tests focus heavily on equations, functions and graphs, which are covered in depth.

Q: How long does it take?

Most learners finish in 4–8 weeks studying a few hours a week.

Q: How do I get the course book after paying?

Your download link appears on the order confirmation page straight away, is emailed to you, and stays in My Courses in your account.

Q: Which AI assistant can I use?

Any capable assistant works, such as ChatGPT, Microsoft Copilot or Google Gemini. The prompts are written to work with all of them.

Original price was: $59.00.Current price is: $42.00.

AI Tutor-enabled
Self-paced
Beginner → Intermediate

Modules: 10
Study time: About 30 hours
Format: Digital course book (PDF)
Projects: 4 + capstone

Read a free preview

Build the algebra skills every maths, science and business course depends on.

TypeNotes & books

DeliveryInstant download after payment

Instant download after payment
Lifetime access in My Courses
Secure checkout

SKU: CB-ALG Categories: Course Books, Mathematics Tags: AI algebra tutor, algebra course, algebra study guide, college algebra, functions and graphs, solving equations

AI Tutor-Enabled Self-Paced Professional Course Book

Build the algebra skills every maths, science and business course depends on.

College Algebra is a self-paced course book that strengthens the core skills behind higher maths: solving equations and inequalities, working with functions and graphs, polynomials, exponentials, logarithms and systems of equations. Short explanations, worked examples and AI Tutor prompts help you understand why each method works.

Is this you?

You lose marks on small algebra slips
Fractions and negative numbers still trip you up
Functions and function notation feel confusing
You are not sure which method to use for a quadratic
Logarithms seem like a different language
Word problems are hard to turn into equations

This course book is built to close exactly that gap: clear explanations, worked practice and an AI tutor that guides you instead of just giving answers.

Learn
Practise
Check with your AI Tutor
Build projects
Get assessed

What you’ll learn in 10 practical modules

01 Real Numbers and ExpressionsGet fluent with the building blocks.

Key concepts

Order of operations
Exponents and radicals
Simplifying algebraic expressions

Sample practice

Simplify (2x³y)²·3xy⁻¹
Simplify √50 + 2√8

02 Linear Equations and InequalitiesSolve linear problems confidently.

Key concepts

Solving linear equations
Absolute value equations
Linear inequalities and interval notation

Sample practice

Solve 3(x−2)=2x+5
Solve |2x−1|<7

03 Quadratic EquationsChoose the best method every time.

Key concepts

Factoring
Completing the square
Quadratic formula and the discriminant

Sample practice

Solve x²−5x+6=0
Solve 2x²+3x−4=0 using the formula

04 FunctionsUnderstand what a function is and how to use one.

Key concepts

Function notation
Domain and range
Composition and inverses

Sample practice

For f(x)=2x+1 and g(x)=x², find f(g(3))
Find the inverse of f(x)=(x−4)/3

05 Graphs and TransformationsRead and sketch graphs quickly.

Key concepts

Slope and lines
Shifts, stretches and reflections
Symmetry

Sample practice

Find the line through (1,2) and (3,8)
Sketch y=−(x+2)²+1

06 Polynomial and Rational FunctionsAnalyse higher-degree functions.

Key concepts

Polynomial division and the remainder theorem
Zeros and end behaviour
Asymptotes of rational functions

Sample practice

Divide x³−2x+1 by x−1
Find the asymptotes of (2x+1)/(x−3)

07 Exponential FunctionsModel growth and decay.

Key concepts

Exponential growth and decay
Compound interest
The number e

Sample practice

$500 grows at 6% a year: value after 8 years?
A substance halves every 5 days: model it

08 LogarithmsMake logarithms work for you.

Key concepts

Logarithm laws
Change of base
Solving exponential equations

Sample practice

Solve 3^x=20
Expand log(x²y/z)

09 Systems of EquationsSolve several equations at once.

Key concepts

Substitution and elimination
Systems in three variables
Applications and mixture problems

Sample practice

Solve x+y=10, 2x−y=2
A tickets problem with two prices

10 Sequences and the Binomial TheoremWork with patterns and expansions.

Key concepts

Arithmetic and geometric sequences
Summation notation
Binomial theorem

Sample practice

Find the 20th term of 3, 7, 11, …
Expand (x+2)⁴

Use AI as your personal tutor, not an answer machine

The course book includes ready-to-use prompts for ChatGPT, Copilot, Gemini or any capable AI assistant. Each mode makes the AI teach, guide, check or challenge you, so you build real understanding.

1TEACH ME

Explain [topic] in College Algebra to me step by step at a [beginner / intermediate / advanced] level. Use a simple example first, then a harder one, and ask me a question to check I understood.

2GUIDE ME

I am working on this problem: [paste problem]. Do not give me the answer. Give me one hint at a time and wait for my next step.

3CHECK MY WORK

Here is my solution: [paste working]. Check each step, tell me exactly where any mistake is and why, but let me correct it myself.

4CHALLENGE ME

Give me three exam-style College Algebra questions on [topic], getting harder each time. Wait for my answers, then mark them and explain what I missed.

5HELP ME APPLY IT

Show me how [topic] from College Algebra is used in a real situation, then give me a small task to try it myself.

Verify before you trust

Ask a clear, specific question
Solve it yourself first
Test the answer by substituting or estimating
Check it against the worked examples in the book
Validate with your teacher if the AI and the book disagree

Don’t just study it. Build evidence you can show.

Project 1

Budget Model

Use linear functions to model income and expenses for a month.

Project 2

Loan and Savings Comparison

Compare compound interest scenarios with exponential functions.

Project 3

Data and Graphs Report

Fit and interpret linear and quadratic models for a small dataset.

Project 4

Population Growth Study

Model a population with exponential and logistic ideas.

Final capstone

Algebra Skills Portfolio

Collect 20 worked problems across all modules, each with a short explanation of the method chosen.

Who this course book is for

College and university students
High school students preparing for college maths
Students preparing for SAT, ACT or placement tests
Business and nursing students
Adults returning to study
Parents helping with homework

Where these skills lead

Business
Nursing and health
Engineering
Computing
Economics
Teaching

The course builds skills and evidence; it does not guarantee employment or exam results.

What you receive

10 progressive learning modules
Learning objectives, key concepts and practice problems
Ready-to-use AI Tutor prompts for five learning modes
Practical projects and a capstone
Portfolio guide, assessment rubric and completion checklist
Instant download and lifetime access in My Courses

Format	Digital course book (PDF)
Learning mode	Self-paced + AI Tutor
Level	Beginner → Intermediate
Study time	About 30 hours
Created by	NoteStore Academy
Certificate	Optional project and portfolio assessment
Licence	Personal learning use
Updated	November 2, 2026

Certificate pathway

Want a certificate? Submit your work for optional assessment by NoteStore Academy. Certificates reflect demonstrated work, so they are not issued automatically with purchase.

Module practice work20%

Projects 1–440%

Capstone project30%

Portfolio and reflection10%

Frequently asked questions

Do I need to know algebra already?

Basic arithmetic is enough. Module 1 rebuilds the essentials before moving on.

Is it the same as a typical college algebra syllabus?

It covers the topics found in most college algebra courses, in the usual order.

Will it help with placement tests?

Yes. Placement tests focus heavily on equations, functions and graphs, which are covered in depth.

How long does it take?

Most learners finish in 4–8 weeks studying a few hours a week.

How do I get the course book after paying?

Your download link appears on the order confirmation page straight away, is emailed to you, and stays in My Courses in your account.

Which AI assistant can I use?

Any capable assistant works, such as ChatGPT, Microsoft Copilot or Google Gemini. The prompts are written to work with all of them.

Start today