PreCalculus Final Exam Review First Quarter

Review for the 1st Quarter PreCalculus Exam. We go through the key questions and formulas students want to know in this 38 Question focused math review by Mario's Math Tutoring.

Jump to Topic in this Video:

00:00 Intro
0:12 Find the Quadrant where the point is located
1:00 Find the Distance & Midpoint given 2 Points
2:48 Find the x & y intercepts given an equation
4:02 Write standard form of the equation of a circle given center
5:01 Use Origin Symmetry to Find Corresponding Point on Graph
5:51 Testing for x-axis, y-axis, or origin symmetry
8:05 Find Equation of a Line given 2 points
9:12 Find Equation of a Perpendicular Line given Equation and Point
10:16 Understanding Function Notation & Evaluating Functions
11:22 Evaluating Piecewise Functions
12:06 Finding the Zeros of a Function
13:26 Finding the Domain given the Function(Square Root & Fraction)
15:30 Find the Difference Quotient
17:54 Interval where Function is Increasing, Decreasing, Constant
19:42 Find Relative Maximum
20:28 Is the Function Even, Odd, or Neither?
22:00 Domain and Range in Interval Notation Given Graph
23:28 Find Average Rate of Change Given Function
24:43 Evaluate a Greatest Integer Function at 2 Values
25:48 Graph a Step Function Using Transformations
28:19 Write the Equation of a Parent Function after Transformations
28:59 Composition of Functions
30:19 Find the Inverse of a Function given Equation
31:32 Is the Inverse of the Graph a Function (Horizontal Line Test)
32:10 Find Vertex of Quadratic Function Given Equation
33:08 Use Completing the Square to Write Quadratic in Vertex Form
35:41 Write Quadratic in Vertex Form Given Vertex and Point
36:36 End Behavior, Zeros, and Graph Polynomial
39:04 Find a Fifth Degree Polynomial Given 3 Zeros
40:15 Divide a Polynomial using Synthetic Division
41:35 Using Remainder Theorem to Evaluate a Function
42:49 Simplify a Fraction Using the Complex Conjugate
44:12 Use Rational Root Theorem to List Possible Rational Roots
45:23 Find All Rational Zeros Using Synthetic Division
46:52 Find a Polynomial with Real Coefficients Given Imaginary Zero
48:30 Graph a Rational Function with Asymptotes, Holes, Intercepts
52:23 Solve the Quadratic Inequality Using Sign Analysis
54:10 Solve the Rational Inequality Using Sign Analysis

Related Videos to Help You:

Precalculus 2nd Quarter Exam Review

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[MariosMathTutoring]

If you liked this Precalculus 1st Quarter Review check out the Precalculus 2nd quarter review video I did here:

[love-yvvg]

The fact that you took the time to make this video means a lot. Thank you.

[aigerakabane]

00:00 Intro
0:12 Find the Quadrant where the point is located
1:00 Find the Distance & Midpoint given 2 Points
2:48 Find the x & y intercepts given an equation
4:02 Write standard form of the equation of a circle given center
5:01 Use Origin Symmetry to Find Corresponding Point on Graph
5:51 Testing for x-axis, y-axis, or origin symmetry
8:05 Find Equation of a Line given 2 points
9:12 Find Equation of a Perpendicular Line given Equation and Point
10:16 Understanding Function Notation & Evaluating Functions
11:22 Evaluating Piecewise Functions
12:06 Finding the Zeros of a Function
13:26 Finding the Domain given the Function(Square Root & Fraction)
15:30 Find the Difference Quotient
17:54 Interval where Function is Increasing, Decreasing, Constant
19:42 Find Relative Maximum
20:28 Is the Function Even, Odd, or Neither?
22:00 Domain and Range in Interval Notation Given Graph
23:28 Find Average Rate of Change Given Function
24:43 Evaluate a Greatest Integer Function at 2 Values
25:48 Graph a Step Function Using Transformations
28:19 Write the Equation of a Parent Function after Transformations
28:59 Composition of Functions
30:19 Find the Inverse of a Function given Equation
31:32 Is the Inverse of the Graph a Function (Horizontal Line Test)
32:10 Find Vertex of Quadratic Function Given Equation
33:08 Use Completing the Square to Write Quadratic in Vertex Form
35:41 Write Quadratic in Vertex Form Given Vertex and Point
36:36 End Behavior, Zeros, and Graph Polynomial
39:04 Find a Fifth Degree Polynomial Given 3 Zeros
40:15 Divide a Polynomial using Synthetic Division
41:35 Using Remainder Theorem to Evaluate a Function
42:49 Simplify a Fraction Using the Complex Conjugate
44:12 Use Rational Root Theorem to List Possible Rational Roots
45:23 Find All Rational Zeros Using Synthetic Division
46:52 Find a Polynomial with Real Coefficients Given Imaginary Zero
48:30 Graph a Rational Function with Asymptotes, Holes, Intercepts
52:23 Solve the Quadratic Inequality Using Sign Analysis
54:10 Solve the Rational Inequality Using Sign Analysis

Related Videos to Help You:

Precalculus 2nd Quarter Exam Review

Take Your Learning to the Next Level with me!:

Get my Learn Algebra 2 Video Course (Preview 13 free video lessons & learn more)

Learn Algebra 1 Video Course

Looking to raise your math score on the ACT and new SAT?
Check out my Huge ACT Math Video Course and my Huge SAT Math Video Course for sale at

* Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below)
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17 Comments

[maily]

You're literally the best math tutor ever. Thank you sir. You saved my life.

[jacobrebrook]

you are a life saver man, u deserve millions of

[enderninja]

Once upon a time, there was a math tutor named Mario who was known for his unconventional teaching methods. One day, while teaching a class of students, he was struggling to explain a difficult concept and decided to use an airplane model to demonstrate.
As he demonstrated how the different parts of the airplane worked together, he became so engrossed in his lesson that he accidentally smashed the model airplane.
The students were shocked, but to their surprise, they found that they understood the concept better than ever before. From then on, Mario's class was the most popular and sought-after in the school. Despite the occasional broken model airplane, the students knew that with Mario's unique teaching style, they were sure to learn and succeed.

[georgesadler]

MR. Mario, thank you for an incredible Precalculus Final Exam Review. These problems are very helpful for all students in College Algebra and Precalculus.

[requispwarship]

THANK YOU SO MUCH MARIO MATH TUTOR IVE BEEN FOLLOWING AND LEARNING FROM YOU SINCE I WENT TO GEOMETRY AND I JUST GOT A HUNDRED ON MY PRECALC FINAL BECAUSE OF YOU 🫡🫡🫡

[lazyonigiri]

Thank you so much sir, I appreciate and respect the effort you are putting into this I can see how much time it takes from you, you never disappoint to deliver, , you always keep the good quality videos going on. Thank you so much for never stopping the hard efforts and your videos. This is a treasure to us students and I am pretty sure that many many other kids will utilize your videos in the future and value them like we do today. your videos are of tremendous help. May God bless you.

[dustinzull]

I appreciate you so much, sir! you are bringing us closer to our dreams!

[ryderpaing]

Appreciate the work you put in this video, helped me out so much!

[bienvenidos]

I wish my precalculus class was this easy. I have no idea what was going on when I was learning that in school. This video just seems more like my algebra 2 lessons.

[Sclerenchyma]

My pre - calc teacher literally works at dunkin donuts, thx for fillin the gaps Mario.

[enderninja]

I did not expect that problem about the sum of 2 + 2

[santiagomaciasvillegas]

Eres genial amigo un abrazo desde San Jerónimo antioquia Colombia

[debraknorenberg]

I'd give you more money but, my crappy college math teacher took most of it. She keeps telling me to solve everything but, won't tell me what for. And I missed an extra credit assignment she titled, (and I quote), "Ignore". Go figure. By the way, she has a dog with super powers that can throw a toy from negative infinity to positive infinity and she drew a picture to prove it as a quadratic function but, I still can't figure it out, "in context". In math, I may not know what a lot of it is but, I know what it' snot.

[enderninja]

56:26 this was tragic I’m so sorry to here

[Dragon_marked]

What im doing some of this stuff and im only in algebra 2

[mexicanuser]

Can I please borrow your brain? Mine is very useless.