# Disclaimer:

This semester we are offering the class under the flexible hybrid model, which is a distance learning model. A lot of our content, will therefore be found in blackboard and at other sites that I will direct you towards. Some info on this page, including the syllabus, videos and homework apply to this class, but much of the other material applies to a previous in-person class. I figured the content might provide extra practice for you though, so I am sharing it with you.

# Excerpts from the text:

First five sections of the text that are covered in our syllabus

# Videos

Lecture Videos – Here you will find the YouTube playlist for the class

Below you will find the Zoom playlist for our synchronous meetings this semester:

# Syllabus

Syllabus – Here you will find the syllabus for the course

# Homework

Homework will be submitted online via the Cengage homework platform. Instructions for how to enroll in the course can be found by clicking here.

The class key is: **fordham 3334 9140**

# Old Quiz Blanks & Answers

These are quizzes from a previous semester, and may come in handy when studying. When you’ve completed a topic, do the quiz that covers that topic. Give yourself 15 minutes each, print them out and don’t look at the questions until you’re ready to take them. Then use the answers to grade yourself. If you get anything at all wrong, mark that problem wrong. Otherwise, you get 1 point per correct answer. Tally up your score, and that’s how you would do if it were a quiz given in class. Be honest with yourself! Don’t look at the answers before taking the quiz, and don’t take them under conditions that would not be there if you were taking a quiz. Time yourself, and don’t get help or look at the answers until after!

Quiz 1 Blank – A blank version of the quiz for extra practice (this quiz was a diagnostic and covers material throughout the course)

Quiz 1 Answers – Answers to quiz 1

Quiz 2 Blank – A blank version of the quiz for extra practice (covers distributive law, simplifying rational functions, interval notation and sketching intervals)

Quiz 2 Answers – Answers to quiz 2

Quiz 3A Blank – A blank version of the quiz for extra practice (covers laws of exponents, factoring, simplifying radicals, finding domains)

Quiz 3A Answers – Answers to quiz 3A

Quiz 3B Blank – A blank version of the quiz for extra practice (covers laws of exponents, factoring, simplifying radicals, finding domains)

Quiz 3B Answers – Answers to quiz 3B

Quiz 4A Blank – A blank version of the quiz for extra practice (covers more factoring as well as simplifying and combining rational expressions, solving linear and quadratic equations)

Quiz 4A Answers – Answers to quiz 4A

Quiz 4B Blank – A blank version of the quiz for extra practice (covers more factoring as well as simplifying and combining rational expressions, solving linear and quadratic equations)

Quiz 4B Answers – Answers to quiz 4B

Quiz 5A Blank – A blank version of the quiz for extra practice (covers distance, midpoint, equations of lines, equations of circles, graphing lines and parabolas)

Quiz 5A Answers – Answers to quiz 5A

Quiz 5B Blank – A blank version of the quiz for extra practice (covers distance, midpoint, equations of lines, equations of circles, graphing lines and parabolas)

Quiz 5B Answers – Answers to quiz 5B

Quiz 6 Blank – A blank version of the quiz for extra practice (covers logs and exponentials)

Quiz 6 Answers – Answers to quiz 6

Quiz 7 Blank – A blank version of the quiz for extra practice (covers trig)

Quiz 7 Answers – Answers to quiz 7

# Old Test Reviews

**Review for test 1**

Here is the review guide for the first exam. It comes to you in the form of a mock test–the link to which can be found in step 2 below. It is important to note that **the practice test as written here is 1 hour and 15 minutes long, the same amount of time the actual test would be.** Here’s how to go about preparing for the test:

Step 1: Go over the items you will be expected to be able to do on the test. These are:

- A knowledge of all the formulas and rules we’ve covered in the class. You won’t be tested on them directly, but not knowing them will cause you to get problems wrong for “inexplicable” reasons. So, know all the rules, including but not limited to: laws of exponents, laws of fractions, laws of equations, laws of radicals.
- You must also have a knowledge of what strategies go with what problem type. For example, “to simplify a rational expression, the strategy is to factor and cancel common factors. If any expansion occurs, it must be in the numerator and only temporarily done for the purpose of factoring later.” Or something similar. Say it shorter if you can. All problems have an associated strategy.
- Know how to factor.
- Know how to expand.
- Know how to combine (add/subtract/multiply/divide) and simplify fractions/rational expressions, including compound fractions.
- Know how to simplify radicals (and their sums), and exponentiated expressions (and their sums).
- Know how to solve various kinds of equations.
- Know how to solve various kinds of inequalities.
- Know how to find a difference quotient.

**WARNING:** Don’t spend too much time reviewing the above! A couple hours tops. You already put in the time and effort into these topics by doing homework and studying for quizzes, you just want to hone your skills a bit and brush up. Anything more is wasting time. You want to assess how you will do on a long form test as soon as possible, so don’t wait too long to start step 2.

Step 2: After doing your quick brush-up of the topics, complete the test below under timed conditions.

Step 3: After doing the test, take a break. Then come back and assess for yourself how you did. You may also consult your classmates, wolframalpha, or see someone in the math help room to go over items you feel sketchy on. I highly recommend that you do this step with other people–either a small group of your classmates or one experienced tutor–it is not very efficient otherwise.

Step 4: Brush up again on the topics that you assessed gave you trouble in step 3.

Step 5: 24 hours later, try to redo the test in 45 minutes. Do not review the review test during this time period. The goal is to forget the problems a little bit. If you feel you’re remembering too much, swap problems out for similar problems in the quizzes (the versions you didn’t do), and textbook, or have someone do this for you.

Step 6: Here are the solutions to the practice test (Do NOT look at these until you’ve completed the above steps!).

Step 7: Ask Jhevon for advice at any point after step 2.

Step 8: If there is high enough demand, I’ll post some extra practice problems. Perhaps I could also make another version of the practice test. But it can be quite efficient to do this yourself. Or work with a study partner and each of you write a test for the other person by looking through the text for similar problems.

Step 9: Make sure you follow the instructions and pay attention to the principles I spoke about on weeks that we didn’t have quizzes. Specificity is key, the closer your practice can mimic the practice test above, the better.

**Review for test 2**

Here is the review guide for the first exam. It comes to you in the form of a mock test–the link to which can be found in step 2 below. It is important to note that **the practice test as written here is 1 hour and 20 minutes long, the same amount of time the actual test would be.** Here’s how to go about preparing for the test:

Step 1: Go over the items you will be expected to be able to do on the test. These are:

- Know polynomial long division, as well as how to use it to factor polynomials–including when the Rational Roots Theorem would be used (i.e. I don’t tell you one of the factors before hand, but you need to figure it out.
- Everything we’ve done on exponential and logarithms. Know how to: simplify expo and log expressions, how to solve expo and log equations, how to sketch expo and log graphs.
- Know how to use completing the square to identify the particulars of some given circle.
- Know how to compute the inverse function of a given function, and the properties of inverse functions.
- Know how to sketch polynomial functions.
- Know everything we did on trigonometry: sketching transformed trig graphs, evaluating trig functions and their inverse functions at special angles/values.
- Know the trig formulas for multiple angles and how to use them, like: the addition formulas, the double angle formulas, the half angle formulas, the Pythagorean identities, etc.
- For the bonus: know how to solve trig equations and prove trig identities.

**WARNING:** Don’t spend too much time reviewing the above! A couple hours tops. You already put in the time and effort into these topics by doing homework and studying for quizzes, you just want to hone your skills a bit and brush up. Anything more is wasting time. You want to assess how you will do on a long form test as soon as possible, so don’t wait too long to start step 2.

Step 2: After doing your quick brush-up of the topics, complete the test below under timed conditions.

Step 3: After doing the test, take a break. Then come back and assess for yourself how you did. You may also consult your classmates, wolframalpha, or see someone in the math help room to go over items you feel sketchy on. I highly recommend that you do this step with other people–either a small group of your classmates or one experienced tutor–it is not very efficient otherwise.

Step 4: Brush up again on the topics that you assessed gave you trouble in step 3.

Step 5: 24 hours later, try to redo the test in 45 minutes. Do not review the review test during this time period. The goal is to forget the problems a little bit. If you feel you’re remembering too much, swap problems out for similar problems in the quizzes (the versions you didn’t do), and textbook, or have someone do this for you.

Step 6: Here are the solutions. (Do NOT look at them until you’ve attempted the test yourself and followed the instructions above!)

Step 7: Ask Jhevon for advice at any point after step 2.

Step 8: If there is high enough demand, I’ll post some extra practice problems. Perhaps I could also make another version of the practice test. But it can be quite efficient to do this yourself. Or work with a study partner and each of you write a test for the other person by looking through the text for similar problems.

Step 9: Make sure you follow the instructions and pay attention to the principles I spoke about on weeks that we didn’t have quizzes. Specificity is key, the closer your practice can mimic the practice test above, the better.

## Old Final Exam Review

After studying and memorizing what you need to, and learning the strategies needed for each problem type, access the mock final below. Take it under test conditions. If you can do well on this (under test conditions), you will do well on the actual final. Be honest with yourself. And if you can’t do well on this, don’t despair! Use it as a diagnostic tool to see what you can brush up on and keep practicing!

# Old Test Blanks & Solutions

# Documents and Class Handouts

(None given)