Ace Your MAT 101 Exam! Quiz 1 Step-by-Step Solutions

Welcome back to the channel! In this video, we are tackling the complete, step-by-step solutions for MAT 101 (Algebra and Trigonometry) Quiz I. Whether you want to review core algebra concepts or check your understanding ahead of the main exams, this breakdown will walk you through exactly how to solve these foundational university-level math problems.

📝 Test Yourself First!
Want to try the quiz on your own before watching the solutions? Access the interactive digital quiz right here: https://forms.cloud.microsoft/r/egDjFB2TLf

🔍 Topics Covered in this Video:
• Finding Roots and Intercepts of Polynomials
• Cartesian Products and Set Theory
• Solving Absolute Value Inequalities
• Identifying Rational vs. Irrational Numbers
• Domain and Range of Functions
• Finding the Vertex and Axis of Symmetry for Parabolas

⏱️ Video Chapters:
0:00 - Intro & Question 1: Finding Real Zeroes & Correcting the Typo
2:24 - Question 2: X-intercepts & Polynomial Long Division
10:09 - Questions 3 & 4: Sets & Cartesian Products
14:02 - Question 5: Solving the Quadratic for 't'
15:00 - Question 6: Set Theory & Simplification
16:34 - Question 7: Solving Absolute Value Inequalities (Greater Than)
19:47 - Question 8: Solving Absolute Value Inequalities with Quadratics
25:11 - Question 9: Absolute Value Less Than a Negative (Empty Set)
25:52 - Question 10: Identifying Irrational Numbers
26:57 - Question 11: Finding the Range of a Function
27:58 - Question 12: Number Systems & Subsets of Q
29:16 - Question 13: Finding the Domain of a Radical Function
30:45 - Question 14: Rational vs. Irrational Numbers (Pi)
31:52 - Question 15: The Trichotomy Law
33:12 - Question 16: Properties of Real Numbers (Transitive)
33:55 - Question 17: Finding a Quadratic Equation from its Roots
36:05 - Question 18: Cartesian Product of Two Sets
37:11 - Question 19: Finding the Vertex of a Parabola
39:07 - Question 20: Finding the Axis of Symmetry

💡 Got a question about a specific step or formula? Drop a comment below and I’ll help you out!

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