2020-Summer-Q3-Math-95
HW #1 Due on July 4, 2020
- NOTE: We will go over this on July 11, 2020 and you will submit it electronically on July 13, 2020.
- Please Review Chapter 5 and especially 5.3 and 5.4
- Read 10.1 and 10.2
- Do these problems on paper look at syllabus for correct heading.
- 5.4: 17 – 20, 39 – 43, 81 – 83
- 10.1: 21 – 48 by 3 (that means 21, 24, 27, …)
- Write out all time tables as follows
- 1 x 2 = 2
- 1 x 3 = 3
- ……… up through 12 x 12 = 144. Note: You may use up to four columns on the multiplication part of the homework. In general we will NOT use columns in math except for an entire problem.
Memorize those Time Tables.
HW #2 Due on July 11, 2020
- Note: We will go over HW #2 on July 11, 2020, and you will have the opportunity to fix problems. HW #2 will formally be due on July 13, 2020.
- We did not have class on July 4, 2020 for Week #2. You need to do the following to see videos for Week #2:
- On the Internet go to pcc.edu.
- Log into your account using mypcc.
- Go to My Courses on the top left.
- Scroll down and Select Term [Summer 2020].
- Scroll down and click on little house of left of class with Intermediate Algebra.
- You will now be on your D2L page at https://online.pcc.edu/d2l/home.
- Scroll down until you see MTH-95-0-30049 – Intermediate Algebra and click on it.
- Look on top and click on Contents.
- Click on Week 2.
- You will see some notes and links to videos.
- Please look at videos and take notes of everything written on the board. You should also write down other key items.
- Do the following problems and please do them in this order.
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10.2: 18 – 36 by 3
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10.4: 9 – 78 by 3
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10.3: 15 – 100 by 5
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10.5: 15 – 81 by 3
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10.6: 15 – 75 by 3
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HW #3 Due on July 18, 2020
- Read the following notes and write them in your notebook:
- 10.7: 12 – 72 by 3.
- 10.8: 10 – 82
- Read 11.1 very carefully.
- Test on Chapter 10 and part of Chapter 11. Please take the test sometime before July 25, 2020. More details will follow.
Test #1 [Available after July 18, 2020] Due by Friday, July 24, 2020.
- Make up a practice test using about 40 problems from HW #1 through HW #3. Also know the names of all the factoring methods and how many terms are used for each method.
- In Section 11.1, please work a variety of problems from the assigned problems in 11.1 before making a practice test. The assigned problems are shown in HW #4. You do not need to do all of 11.1 before the test. Put examples of Evaluate and Solve, in all forms [graph, table, algebra formula], on your practice test.
HW #4 Due on July 27, 2020
- Please do a good sampling of problems in 11.1 before making up practice test and taking Test #1.
- Read 11.1 and 11.5 carefully and also read these notes [pdf].
- Write the notes [pdf] into your notebook. You may do some condensing of words, but to not lose the meaning or detail.
- When doing the problems for Chapter 11, it is optional to put graphs on the homework sheets you turn in for credit.
- 11.1: 2, 10 – 95 by 5.
- 11.5: 1 – 14.
- Read 1.3 [Yes, I do mean 1.3. It talks about some very important notation.]
- Read 11.2 and especially 11.2.2 on the correct notation.
- When studying domain and range the open dot means the point is not included and the solid dot means the point is included. See problem 11 in 11.2.
- The point at (-1, -6) is not included on the segment. The point (3, 6) is included.
HW #5 Due on August 3, 2020
- 11.2: 3 – 66 by 3
- 11.4: 9 – 42 by 3.
- Read 12.1 and 12.2.
HW #6 Due on August 10, 2020
- 11.6: 3 – 18 by 3
- 11.6: 38, 41 – 47
- For #47, Solve each equation for y and if the x is in a denominator or the x is under a radical with an even index, then the equation will NOT BE a function.
- 12.1: 6 – 27 by 3
- 12.1: You can load desmos as an app or use desmos.com on a computer and pick any two problems from 29 – 35.
- 12.2: 30 – 90 by 5. Please see notes:
- Rational Expressions
- 12.2: 91, 97, 99, 100
HW #7: Due on August 17, 2020
- 12.3: 27 – 63 Every other odd [EEO] (27, 31, 35, …)
- 12.4: 11, 31, 35
- 12.5: 25 – 57 Every other odd [EEO] (25, 29, 33, …). We will work 53 and 57 in class.
- NOTE: Be on the lookout for notes and videos.
Test #2: Due on August 22, 2020
Do the following problems to prepare for the test. Note that some of these are on HW #8.
- 11.6:
- 3, 5, 7, 11, 13, 15, 17, 37, 39, 41, 43, 45, 49
- 12.6:
- 1, 11, 13, 21, 43, 47
- 12.5:
- 65 (Note also on HW #8)
- 12.2:
- 97
- 12.4:
- 9
- 12.1:
- 9
- 13.1: (Note both of these are on HW #8)
- 3 (use x values of -10, -5, 0, 5, 10)
- 23 (use -2, -1, 0, 1, 2)
- Please graph the function given in Example 12.1.8, but do the following.
- Use x values of -4, -1, 0, 1, 2, 3, 4, 5, 8.
- On graph paper for the y axis, every square is one-sixth. Another way to say this is that six squares are needed to make one unit.
- On graph paper for the x axis, every square is one-half.
- Please see look at the document to see the scaling and on how your axes and tick marks should look. The scaling is important so that fractions can be graphed on grid corners.
Test #2 is available will be available late on Saturday, August 15, 2020.
HW #8: Due on August 24, 2020
This homework is a little different from the others because many instructions are included as well as problems. The end result is the same as you will have problems worked on paper and much of this requires graph paper.
- Read 13.1 very, very carefully on graphing.
- You will need graph paper. Four or five squares per inch is good.
- Read these notes [pdf] on graphing. Pay special attention to Page 3 and notice all of the steps to substitute in values. These notes are also found at:
- pcc.edu/staff/wdiss/notes under Graphing
- Using the steps found in the document, notes [pdf], do the following problems in 13.1:
- Use a table of five values to do problems 2 and 3 [For Problem 3 use values of -10, -5, 0, 5, 10]. The steps are on Page 3.
- Use the steps on Page 9 to do problems 6 and 7.
- Use the steps on Page 4 to do problems 15 and 21. For problem 21 scale your graph so that every square is one half of a unit. Page 1 shows an example for 1/3.
- Use steps on Page 3 to do the following problems and use the values of x given.
- 23, use x values of -3, -2, -1, 0, 1, 2, 3
- 24, use x values -4, -3, -2, -1, 0, 1, 2
- 27, use x values of -5, -4, -1, 4, 11
- We are going to go back to quadratic equations. Please go to the following:
- Scroll down to Quadratic Equations and read all four documents of the different ways to solve a quadratic equation. We have used the factoring method.
- We will then look at quadratic functions. Please read 13.2 carefully. Look at the vertex form of a quadratic function found at Fact 13.2.11.
- Please follow Checkpoint 13.2.12 carefully and also go through Example 13.2.13 carefully.
- In 13.2 do the following problems and be careful with the sign.
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- 45 – 50.
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HW #9 Due on August 31, 2020
- 13.2: 77 – 89 every other odd, 77, 81, … To convert from factored to standard: expand, multiply and simplify. To find y-intercepts when functions are in factored form, evaluate with x = 0 and the result is the y-intercept.
- 13.3: Read the following notes and copy steps into your notebook. These steps are for solving an quadratic equation by completing the square. The approach is similar to what we learned on 8/22 when we completed square to put a quadratic function in vertex form.
- https://www.pcc.edu/staff/wdiss/wp-content/uploads/sites/237/2019/05/Steps-to-Solve-a-Quadratic-Equation-by-Completing-the-Square.pdf
- 13.3: 13, 15, 27
- 13.3: 31, 33 (Use steps from class to put in vertex form.)
- 13.3: 53, 59, 61 (Use steps from class to graph a parabola.) Note on 61, also set f(x) = 0 and you will have a quadratic equation. Solve by factoring and you will have two values for x. Graph these as x-intercepts along with your five other points.
- 13.3: 69, 71 put in vertex form to answer the questions. You DO NOT have to graph.
Final due by September 4, 2020
- The final covers chapters ten through thirteen.
- Prepare for the final by doing the problems below.
- There are a couple of topics we did not get to discuss and they might be on the final.
- Solving inequalities by graphing [pdf].
- Solving radical equations (notes will be added later). There is a good example at: Example 13.5.3. problem a.
Final Study Guide
- Review the types of problems by going to the last section in chapters 10 – 13.
- Please write the following problems on paper and then work the problems with all steps. Read instructions carefully because some problems state, “use technology” and that means you can graph using Desmos.com.
- 10.8: 73 – 81 odd.
- 10.8: 87 – 91 odd.
- 11.6: 3, 5, 7, 13, 29, 35, 37
- 12.6: 7, 13, 21, 39, 47
- 13.8: 11, 13, 23, 27, 31, 47, 49, 55, 67
- On 13.8 use technology such as Desmos.