Exam 4 will be Wednesday, April 17

The exam will cover the topics of Circles, Parabolas and Lines

Remember that the circle is defined by its CENTER and RADIUS

Remember that the important characteristics of a Parabola are: VERTEX, LINE OF SYMMETRY, X-Intercepts (“Roots”) and Y-Intercept

The Parabola has the two forms

General Form: $latex Ax^{2}+Bx+C=0$

Standard Form $latex A(x-h)^{2}+k=0$

The x-coordinate of the vertex is $latex \frac{-B}{2A}$

To get the y-coordinate of the vertex, put the x-value into $latex Ax^{2}+Bx+C$

and evaluate it.

The circle has the two forms

General Form: $latex Ax^{2}+Ay^{2}+Cx+Dy+C=0$

Standard Form $latex (x-h)^{2}+(y-k)^{2}=r^{2}$

The Center is at the point (h,k) and the radius = r.

Review these for the exam:


Graphs-Graphs of Quadratic Equations. (Problems 1-4)

Graphs-Intro to Conics (Problems 1 and 12)

ShiftingParabolas (Understand all of these)

Graphs-Equation of a Line (Problems 4 and 6)

REMEMBER the 6-point process.

Exam 3 will be Monday, April 1

Here are practice problems for the exam:

Zero Product Rule

Solve $latex (x-2) (3x-7)=0$

Radical Equations

Solve $latex \sqrt{7s-3} +2 = 0$

Quadratic Equations

$latex \frac{1}{2}x^{2}+4=24$

$latex 2x^{2}+9x-5=0$

Rational Equations

$latex \frac{x}{x+6}=\frac{4}{7}$

$latex 1-\frac {5}{y}=-\frac{6}{y^{2}}$


Give a polynomial of degree 4 with roots 2,3,−1 and 0. You can keep it in factored form.

6-point process:

Apply the 6-point discussion to any of the above problems.

Exam 2 will be Monday, March 11

Here are practice problems for the exam:

Radical Expressions

Solve $latex (7+\sqrt3) (7-\sqrt3)$

Evaluate $latex 16^{3/2}$

Simplify $latex \frac{4}{3}ab\sqrt{18a^3}+\frac{1}{2}\sqrt{8a^5b^2}$

Complex Numbers

Simplify $latex \sqrt{-36}$

Multiply $latex (7-2i)(4+i)$

Evaluate $latex i^{26}$

Complex Fractions

Apply the 6-point process to the complex fraction below. Then actually simplify it according to your “strategy”

Simplify $latex \frac{ \frac{3}{y^{2} }+\frac{1}{y} } {\frac{9}{y^{2}}-1} $

Group Meetings at Office Hours

Each group will have a meeting with the Professor during the next 2 weeks.

Each student should have 1 question prepared to ask.

Group 2: Tuesday, February 6 10:30 am – Room N825

Group 1 & Group 3: Wednesday, February 7 10:00 am – Room N825

Group 4: Wednesday, February 7 10:30 am – Room N825

Group 5: Tuesday, February 13 10:00 am – Room N825

Group 6: Tuesday, February 13 10:30 am – Room N825

Group 7: Wednesday, February 14 10:00 am – Room N825

Groups 8 & 9: Wednesday, February 14 10:30 am – Room N825

Welcome, Students!

Please take some time to explore this OpenLab course site. Use the menu to explore the course information, activities, and help. As the course progresses, you will be adding your own work to the Student Work section.

Join this Course

Login to your OpenLab account and follow these instructions to join this course.

If you’re new to the OpenLab, follow these instructions to create an account and then join the course.

Remember that your username and display name can be pseudonyms, rather than your real name. Your avatar does not need to be a picture of your face–just something that identifies you on the OpenLab.


If you have any questions, reach out via email or in Office Hours. If you need help with the OpenLab, you can consult OpenLab Help or contact the OpenLab Community Team.

Class 1 Agenda

Class Info

  • Date: January 29, 2024


Bring a notebook, pen or pencil and be prepared to take good notes during the class.


Everyone is assigned to a group with 3 or 4 other students.

Group 1

Mohamed Abdelrahim

Taino Juan Bravo I

Mathew Green

Jaylin Logan

Group 2

Danny Acero

Halley Engelique Brito

Tyron Leroy Henry

Merlin Lora

Group 3

Arafat Arefin Adi

Jahdiel Brown

Milly Herrera-Cortes

Navindra Mangra

Group 4

Durant Joshua Aitken

Brendan Sontonax Buissereth

Omarie Jaquan Hill

Darven K Pierre I

Group 5

Fayzah Hussein Alkatabi

Natalia Magdalena Cedeno

Jun Huang

Kyle Nikhail Sinanan

Group 6

Kristal Alvarez

Sai Ceesay

Shaquille Antonio James

Kevin Torres

Group 7

Jahnol Tyreek Arrington I

Kiaya T Celestine

Kastasia Kellman

Jalen Vann

Group 8

Marjona Ashurkulova

Britney A Cordova

Israt Korno

Holly P Vigo

Group 9

Brian Bautista

Yvelanda Delva

Sherece M Loather


We will introduce the 6-point approach that will be used in this class.

The problem-solving approach we use in this manuscript is based on the 6-point process developed by Professors Rojas and Benakli 1 .

  1. Context: What is the problem about?
  2. Observations: List as many observations as possible (at least three). Include key words and symbols.
  3. Questions: Write down (at least three) questions you can ask about the problem. Be sure to include any questions you have relating to the observations you have made.
  4. Strategies: Write down the plan or action strategy.
  5. Concepts: Write down concepts needed to understand and solve the problem.
  6. Conclusions: Use complete sentences to express the conclusion.


Think carefully about these 6 points. Apply them to a problem that interests you. If you like, consider this: “How can I succeed in this class?”

« Older posts