📚 Full 14-Week Course

The Bridge to Precalculus & STEM Intermediate Algebra

Pick up where Elementary Algebra left off. Dr. E takes you through the topics every STEM student needs — from quadratics to exponential functions — in a real college classroom.

15 weeks
12 lessons
EN English
Free no login
🎓 Real classroom · Real students · Real math

Master the algebra every STEM path requires

⚙️
Simplify and solve rational equations, including work and rate problems
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Solve quadratic equations by completing the square and the quadratic formula
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Graph quadratic, exponential, and logarithmic functions with confidence
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Work with complex numbers and solve radical equations
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Understand function notation, domain, range, and composition of functions
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Move confidently into Precalculus, Statistics, or Calculus

15 Weeks of Intermediate Algebra

12 lessons + Midterm + Unit Test + Final. Click any week to expand. Videos uploading soon.

🔍
No lessons match .
Try a topic like "quadratic", "rational", or "exponent".
Week 1
Laws of Exponents and Factoring
Review of exponent rules; factoring strategies; factoring by grouping; sum and difference of cubes
📖 Before you watch ~15 min total

Watch these focused lessons first — then the classroom recording will click faster. Each one opens the Algebra Library where you can also toggle to Filipino and grab a practice worksheet.

Week 1 — Factoring
Laws of Exponents and Factoring · ~1 hr 28 min
Week 2
Rational Expressions and Equations
Simplifying, multiplying, dividing, adding, and subtracting rational expressions; complex fractions; solving rational equations
📖 Before you watch ~15 min total

Watch these focused lessons first — then the classroom recording will click faster. Each one opens the Algebra Library where you can also toggle to Filipino and grab a practice worksheet.

Week 2 · Part 1 — Simplifying Rational Expressions
Rational Expressions and Equations · ~1 hr 18 min
Week 2 · Part 2 — Adding and Subtracting Rationals
Rational Expressions and Equations · ~1 hr 39 min
Week 3
Radical Expressions and Equations
Simplifying nth roots; rational exponents; operations with radicals; solving radical equations; extraneous solutions
📖 Before you watch ~15 min total

Watch these focused lessons first — then the classroom recording will click faster. Each one opens the Algebra Library where you can also toggle to Filipino and grab a practice worksheet.

Week 3 · Part 1 — Simplifying Radical Expression
Radical Expressions and Equations · ~1 hr 10 min
Week 3 · Part 2 — Multiplying and Dividing Radicals
Radical Expressions and Equations · ~1 hr 31 min
Week 4
Solving Quadratic Equations
Solving quadratics by factoring; completing the square; the quadratic formula; applications
📖 Before you watch ~15 min total

Watch these focused lessons first — then the classroom recording will click faster. Each one opens the Algebra Library where you can also toggle to Filipino and grab a practice worksheet.

Week 4 · Part 1 — Solving Quadratics
Solving Quadratic Equations · ~1 hr 22 min
Week 4 · Part 2 — Completing The Square & QFormula
Solving Quadratic Equations · ~1 hr 39 min
Week 5
Quadratic Equations and Inequality
Completing the square; quadratic formula; discriminant; quadratic inequalities; applications
📖 Before you watch ~15 min total

Watch these focused lessons first — then the classroom recording will click faster. Each one opens the Algebra Library where you can also toggle to Filipino and grab a practice worksheet.

Week 5 — Classroom Lesson
Quadratic Equations and Inequality · ~60–75 min
Coming soon
Week 6
Midterm Exam
Summative assessment · Covers Weeks 1–5 · Exponents through Quadratic Equations
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Midterm Exam — Intermediate Algebra
Covers Weeks 1–5 · Multiple choice + short answer
Assessment
Week 7
Rectangular Coordinates and Circle
Distance and midpoint formulas; standard form of a circle; graphing circles; completing the square for circles
📖 Before you watch ~15 min total

Watch these focused lessons first — then the classroom recording will click faster. Each one opens the Algebra Library where you can also toggle to Filipino and grab a practice worksheet.

Week 7 — Classroom Lesson
Rectangular Coordinates and Circle · ~60–75 min
Coming soon
Week 8
Equations of a Line
Slope; slope-intercept and point-slope forms; parallel and perpendicular lines; writing equations of lines
📖 Before you watch ~15 min total

Watch these focused lessons first — then the classroom recording will click faster. Each one opens the Algebra Library where you can also toggle to Filipino and grab a practice worksheet.

Week 8 — Classroom Lesson
Equations of a Line · ~60–75 min
Coming soon
Week 9
Function and Composition of Functions
Function notation; domain and range; arithmetic of functions; composition of functions; inverse functions
📖 Before you watch ~15 min total

Watch these focused lessons first — then the classroom recording will click faster. Each one opens the Algebra Library where you can also toggle to Filipino and grab a practice worksheet.

Week 9 — Classroom Lesson
Function and Composition of Functions · ~60–75 min
Coming soon
Week 10
Graphing Basic Functions and Quadratic Functions
Graphing parent functions and transformations; vertex form of parabolas; axis of symmetry; graphing quadratics
📖 Before you watch ~15 min total

Watch these focused lessons first — then the classroom recording will click faster. Each one opens the Algebra Library where you can also toggle to Filipino and grab a practice worksheet.

Week 10 — Classroom Lesson
Graphing Basic Functions and Quadratic Functions · ~60–75 min
Coming soon
Week 11
Unit Test
Summative assessment · Covers Weeks 7–10 · Coordinates through Graphing Functions
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Unit Test — Intermediate Algebra
Covers Weeks 7–10 · Multiple choice + short answer
Assessment
Week 12
Polynomial Functions and Factor Root Theorem
Polynomial functions; synthetic division; factor theorem; rational root theorem; graphing polynomials
📖 Before you watch ~15 min total

Watch these focused lessons first — then the classroom recording will click faster. Each one opens the Algebra Library where you can also toggle to Filipino and grab a practice worksheet.

Week 12 — Classroom Lesson
Polynomial Functions and Factor Root Theorem · ~60–75 min
Coming soon
Week 13
Logarithmic and Exponential Functions
Properties of logarithms; exponential functions; solving log and exponential equations; change of base; applications
📖 Before you watch ~15 min total

Watch these focused lessons first — then the classroom recording will click faster. Each one opens the Algebra Library where you can also toggle to Filipino and grab a practice worksheet.

Week 13 — Classroom Lesson
Logarithmic and Exponential Functions · ~60–75 min
Coming soon
Week 14
Systems of Linear Equations
Systems of two and three linear equations; substitution; elimination; applications and word problems
📖 Before you watch ~15 min total

Watch these focused lessons first — then the classroom recording will click faster. Each one opens the Algebra Library where you can also toggle to Filipino and grab a practice worksheet.

Week 14 — Classroom Lesson
Systems of Linear Equations · ~60–75 min
Coming soon
Week 15
Final Exam
Summative assessment · Covers all topics from the semester · Weeks 1–14
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Final Exam — Intermediate Algebra
Covers Weeks 1–14 · Multiple choice + short answer
Assessment
🎓 You've completed both Algebra courses. You're ready for Precalculus, Statistics, or Calculus →
Where this takes you

Precalculus, Statistics & Calculus

You've finished both algebra courses. Explore the full subject library — Precalculus, Trigonometry, Statistics, and more.

Explore Subjects →
👨‍🏫

Dr. Peter Esperanza — Dr. E

Community College Professor · Numberbender Founder

Dr. E has taught mathematics at the college level for over a decade and has built one of the most-watched bilingual math channels on YouTube. This course was recorded in a real classroom with real students — you get the authentic teaching energy, the questions, the humor, and the clarity that his students experience every semester.