Pre‑Calculus 11 / Algebra I Final Exam Review — 22 Questions Step‑by‑Step (Full Curriculum)

FINAL EXAM — PRE‑CALCULUS 11 (22 QUESTIONS, FULL CURRICULUM REVIEW) In this complete Pre‑Calculus 11 Final Exam Review by MathSupport, ‪@mathsupportnow‬ , we walk through 22 essential questions covering the entire BC Pre‑Calculus 11 curriculum (also aligned with Western Canada and overlapping with US Algebra II). This lesson includes rational exponents, radicals, factoring, rational expressions, quadratic functions, quadratic equations, discriminant, inequalities, and more — all explained slowly, clearly, and step‑by‑step. This is a comprehensive, structured, confidence‑building review designed for students preparing for June final exams. ✅ What You’ll Learn in This Video 🔹 1. Powers & Rational Exponents You’ll learn how to: • Convert rational exponents to radicals • Apply power‑of‑a‑power rules • Simplify expressions with fractional exponents • Evaluate radicals without a calculator 🔹 2. Radical Operations & Equations You’ll learn how to: • Simplify radicals using perfect square factors • Add and subtract radicals • Multiply binomials with radicals (FOIL) • Rationalize denominators using conjugates • Solve radical equations and check for extraneous roots • Identify domain restrictions 🔹 3. Polynomial Factoring You’ll learn how to: • Factor trinomials • Use the multiply‑divide‑undo method • Factor difference of squares • Factor out the GCF • Solve quadratic equations by factoring 🔹 4. Rational Expressions & Equations You’ll learn how to: • Factor rational expressions • Identify non‑permissible values (NPVs) • Simplify rational expressions • Solve rational equations and check solutions 🔹 5. Quadratic Functions & Graphs You’ll learn how to: • Identify vertex, axis of symmetry, domain & range • Convert general form to vertex form • Use completing the square • Interpret maximum/minimum values • Apply quadratic models to real‑life problems 🔹 6. Quadratic Equations & Discriminant You’ll learn how to: • Use the quadratic formula • Simplify exact radical answers • Use the discriminant to determine number & nature of roots • Understand what the discriminant tells you about the graph 🔹 7. Quadratic Inequalities You’ll learn how to: • Solve quadratic inequalities • Use test points • Express solutions in interval notation • Represent solutions on a number line 00:00 – Introduction 00:09 – Exam Overview (BC Pre‑Calculus 11, Agebra I) 00:26 – Section 1: Rational Exponents 00:40 – Q1A: 27^(2/3) 01:18 – Q1B: 16^(3/4) x4(3/4) 02:03 – Q1C: Adding Rational Exponents 03:09 – Q2: Evaluate Without Calculator (‑32)^(3/5) 03:48 – Section 2: Radical Operations 04:04 – Q3A: Simplifying Radicals 05:52 – Q3B: FOIL with Radicals 07:07 – Q3C: Rationalizing Denominator (Conjugate) 09:06 – Q4: Solving Radical Equations + Extraneous Roots 13:02 – Section 3: Polynomial Factoring 13:11 – Q5A: Factoring Trinomials 15:21 – Q5B: GCF + Difference of Squares 15:47 – Q5C: Factoring with GCF + Trinomial 16:25 – Q6: Solving Quadratics by Factoring 18:01 – Section 4: Rational Expressions 18:08 – Q7: Simplify + NPVs 19:19 – Q8: Rational Equation + NPVs + Check 21:30 – Section 5: Quadratic Functions 21:38 – Q9: Vertex, AOS, Domain, Range 22:48 – Q9B: Vertex Form 24:11 – Q10: Completing the Square 26:03 – Section 6: Quadratic Equations 27:18 – Q11: Quadratic Formula 29:03 – Q12: Discriminant (Nature of Roots) 30:54 – Section 7: Quadratic Inequalities 31:01 – Q13: Solve Inequality + Interval Notation 🎯 This Video Is Ideal For: • Pre‑Calculus 11 (BC Curriculum) • Western Canada Grade 11 Math • US Algebra II (overlapping topics) • Homeschool learners • Adult learners returning to math • Teachers needing a classroom‑ready final exam review 👍 Like if this helped you 🔔 Subscribe for more clear, step‑by‑step math lessons 💬 Comment with topics you want next 📤 Share with classmates or study groups #precalculus11 #finalexam #mathreview #bcmathcurriculum #mathsupport #studywithme #grade11math #algebra2