MATH 111   NOTES ABOUT HOMEWORK, ANNOUNCEMENTS, ETC.

 

Assigned:

Be sure to do some odd problems first and check the back of the book!

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I see how far we get in lecture before I come up with a homework assignment, and will generally post that new assignment by 1pm the day of lecture!

F 08/21

Due Monday:

1.1p9 #30, 34, 38, 60

1.2 p19 #12, 24, 36, 72

No quiz yet!

 

Note: I had to make a clarification about the test policy on the syllabus to match what I said in class, specifically, that one test from tests 1 thru 4 will be dropped but test 5 will not. This change was made by 1pm   Friday 8/21.  If you accessed the syllabus before then,  please refresh the page and look again at the revised edition.

 

M 08/24

Due Weds. 8/26

1.3 p27 # 8, 12, 20, 26, 38

1.4p33 # 10, 12, 16, 24, 28

 

Quiz on Weds. covering 1.1 p9 #23-42

 

W 08/26

Due Fri. 08/28

1.5 p41 # 8, 12, 16, 56, 60, 74

 

Quiz on Fri. covering hmk. assigned on F 08/21 above

 

F 08/28

Due Mon 08/31

1.6 p48 # 14, 26, 34, 54, 90

Read section 1.9 as we will work on primes next time!

 

Quiz on Mon covering hmk. assigned on M 08/24 above

 

M 08/31

Due Weds 09/02

1.8 p63 # 24, 26, 36, 42, 52

 

Quiz on Weds covering hmk assigned on W 08/26 above

 

W 09/02

Due Fri 09/04

1.9 p72 # 18, 20, 28, 34, 36

(note that you will have a holiday on Monday, then your first test on Weds.—I will put the format for the test here by Friday).

 

Quiz on Fri covering hmk assigned on F 08/28

 

F 09/04

We do not meet on Monday 09/07 Labor Day Holiday—enjoy!

 

You will have Test#1 as scheduled on Weds 09/09 and your homework is to study for it! The format (order of problems and test size) for the test is as follows:

1.     two or three problems like section 1.1 p9 #23-66 (order of operations and evaluation of exponents)

2.    about 2 problems like section 1.2 p19, maybe one like #9-24, one like #31-38,

3.    three or four problems like section 1.3 p27 #5-38 and 1.4 p33 #1-42

4.    two or three problems like section 1.5 p41 #1-20 (identify the properties, where only one property will be the answer as in the quiz)

5.    one or two problems like section 1.5 p41 #49-74

6.    about 3 problems like section 1.6 p48, with one like #9-44,  one like #53-54, and one like #87-90

7.    one or two problems like section 1.8 p63 with one like #19-40 and one like #41-52 (must reduce fraction using primes)

8.    one or two problems like section 1.9 p72 #17-38  (addition/subtraction of fractions: you will be required to show all denominators in primes, show the LCD in primes, show what new numbers must multiply each numerator, combine and reduce final answer using primes…not showing these parts will result in loss of credit, even if you have the correct final answer!)

 

In case there are not enough problems to practice with in 1.9, here are a few more:

 

(5/12) +(4/15)  Answer: since 12 = 2*2*3 and 15 = 3*5,

the LCD in primes is 2*2*3*5 = 60,  so we have

(5/12)(5/5) + (4/15)(4/4)  = (25/60) + (16/60) = 41/60

 

(89/90) - (47/120)  Answer: since 90 = 2*3*3*5 and 120 = 2*2*2*3*5,

the LCD in primes is 2*2*2*3*3*5 = 360, so we have

(89/90)(4/4) - (47/120)(3/3)  = (356/360) - (141/360) = 215/360  and since

215 = 5*43 and 360 =  2*2*2*3*3*5 only 5 cancels to give 43/72

 

(11/60) - (7/126)  Answer: since 60 = 2*2*3*5 and 126 = 2*3*3*7,

the LCD in primes is 2*2*3*3*5*7 = 1260 so we have

(11/60)(21/21) + (7/126)(10/10)  = (231/1260) - (70/1260) = 161/360 and

161=7*23 and 1260 = 2*2*3*3*5*7 so one 7 cancel to give 23/180

 

 

F 09/11

Homework due Mon 9/14

2.1 p87 # 8, 28, 44

2.2 p95 # 28, 42, 44

 

Quiz Monday on adding and subtracting fractions from 1.9

 

M 09/14

Homework due Weds 9/16

2.3 p102 # 6, 12, 16, 22, 28, 56, 60

 

Quiz Weds on selections from Test #1—look over your corrections

 

W 09/16

Homework due Friday 9/18

2.4 p109 # 8, 14, 24, 36, 54

 

Quiz Friday on hmk assigned 9/11

 

F 09/18

Homework due Monday 9/21

2.4 p109 # 16, 22, 26, 28, 38, 70

 

Quiz Monday on hmk assigned 9/14

 

M 09/21

Homework due Weds. 9/23

2.5 p116/117 # 4, 20, 22, 28, 30, 34

 

Quiz Weds on hmk assigned 9/16

 

W 09/23

We talked about how to set up word problems from section 2.6, and a method that is needed comes from section 4.3, called the “substitution” method. So I demonstrated the method in an example problem and expect that you will go to section 4.3 and read examples 1 and 2 before you try the homework.

 

Homework due Friday 9/25

4.3 p233 # 2, 4

2.6 p126 # 2, 6, 8 (Set up equations and then solve them)

 

Quiz Friday on hmk assigned 9/18

 

F 09/25

We tried the method of substitution for another one of the problems in 2.6 #29. It was a little rushed, so here it is again:

Note that the perimeter of a rectangle comes from adding up the values of each side. If one side is the length (L) and the other side is the width (W), then the perimeter is W+L+W+L or, collecting like terms,  2L+2W

L=W+5 is the equation from the first sentence.

2L+2W=34 is the equation from “the perimeter of the rectangle is 34”

Now we put in the value of L, which is (W+5) into the second equation, we get

2(W+5)+2W=34, which we can now solve for W:

2W+10+2W=34, so 4W+10=34 so 4W=24 so W=6.

The best place to find w is to go back to the first equation L=W+5=6+5=11

We just found that L=11 and w=6, and if we add up two sides of 11 and two sides of 6 we do get 34: 11+6+11+6=34.

 

 If the number of variables matches the number of equations, you can solve for the values of those variables in this way. You will be responsible for knowing the method, even if you have another way of doing the problem. We will work more on the method on Monday.

 

Homework due Mon 9/28

Try a few more substitution problems and a few more word problems:

4.3 p233 # 6, 8, 10

2.6 p126 # 10, 30

 

Quiz Monday on hmk assigned 9/21

 

Note that you will have Test #2 on Weds. 9/30 as scheduled. It will cover material in 2.1, 2.2, 2.3, 2.4, 2.5, and 2.6/4.3  and may have an item or two from the last test. I will be more specific on Monday.

 

M 09/28

We reviewed some topics for your test today. Homework is to study for your test!

 

F 10/02

Homework due Monday 10/5

2.6 p128 # 36, 40, 44

2.7 p135 # 30, 33

 

M 10/05

Homework due Weds. 10/7

2.6 p128 # 38

2.8 p143 # 10, 20, 28, 48

 

Quiz Weds. on hmk from F 9/25

W 10/07

We started a new chapter today on graphing. We may go back and pick up a few more word problems from ch2 later, though.

I will skip around a bit in ch3 to cover the material in an order that I think is best. We looked at how points are defined, and how slope of a line is found given two points. Try the homework form 3.5 by using the slope formula and counting spaces to find the rise/run! Read examples in the section if you do not know what this means.

Homework due Fri

3.1 p162 # 10, 14, 22, 26

3.5 p191 # 6, 10

 

F 10/09

Homework due Monday

3.4 p183 # 4, 6, 8, 10, 16

 

M 10/12

Homework due Weds

3.4 p183 #14

3.5 p191 # 14, 16, 18, 22

 

W 10/14

Homework due Fri

3.6 p200 # 10, 12, 14, 16, 18

 

F 10/16

Homework due Mon

3.6 p200 # 28, 30, 32

 

You will have Test #3 on Weds.

The format is the following:

2,6/2.7 you will have 2 or 3 word problems of the type we did in class and for hmk to set up equations but not solve

2.6 you will have one coin problem to set up and solve

2.8 you will have 2 or 3 short inequalities to solve and graph the solution set

3.4 one linear equation to find the x and y intercepts and graph

3.5 one or two problems to find the slope given 2 points and possibly graph

3.5 given m and b, identify at least 3 points on a graph using the rise and run from b

3.6 one problem to solve for y to put into slope-intercept form

3.6 one problem given 2 points to find the slope and write the equation of the line using point-slope form, then solve for y to put into slope-intercept form

 

M 10/19

Homework is to study for your test!

 

F 10/23

Homework due Monday

3.7 p206 # 2, 4, 8, 10, 14, 16

3.3 p178 #24

 

M 10/26

Homework due Weds

3.3 p178

#6 fill in the missing coordinates and graph:

(-4,   ), (-1,   ), (6,   ), (   , -4), (   , 5)

#10  fill in the missing coordinates and graph:

(-5,   ), ( 3,   ), (   , 1/2), (   , -2)

#16 fill in the missing coordinates and graph:

(-2,   ), ( 3,   ), (0,   ), (  , -1), (   , 3)

 

W 10/28

The old edition of the book used to have you graph parabolas with a table of points so that you knew that not every equation is a line! A parabola is a U-shaped graph that can be centered anywhere and be upside-down or right-side up. We worked on filling out tables and plugging in values to be able to graph parabolas. You can find more guidance at the end of ch9 in your book. Try graphing the following by picking x = -2, -1, 0, 1, 2 to start with, then select more x values if you do not see the U-shape. Graph:

1.     y = – (x squared) +5

2.    y = (x+5)squared

3.    y = 3(xsquared) – 2

4.    y = (–2/3)(x squared)

5.    y = (x – 3)squared – 4

 

F 10/30

I will offer  a one-time-only opportunity next Friday to retake Test #3 in class. Please study for it and show up on time, as this is a rare opportunity for you to raise your test average.

 

I have posted the testgrades I have for you under codes given out in class today. Go to the main page of my website and click on “testscores” for Math 111 to see them. If you see nothing, try refreshing/reloading the page. Let me know if there are any mistakes.

 

Homework due Mon

4.1 #2, 4, 6, 8, 10

 

M 11/02

Homework due Weds

4.2 p227 # 4, 12, 14, 18, 22

 

You will have another chance to take Test #3 on Friday. Look at your old test but also do more problems for practice from the sections they came from:

 

Sections 2.6 p126 # 1-10, p128 #35-40, 2.7 p135 # 29-34

you will have 2 or 3 word problems of the type we did in class and for hmk to set up equations but not solve

 

section 2.6 p128 #35-40

you will have one coin problem to set up and solve

 

section 2.8 p148 # 1-24

you will have 2 or 3 short inequalities to solve and graph the solution set

 

section 3.4 p183 # 1-16

one linear equation to find the x and y intercepts and graph

 

section 3.5 p191 # 1-12

one or two problems to find the slope given 2 points and possibly graph

 

section 3.5 p191 # 13-26 (and see examples in the section)

given m and b, identify at least 3 points on a graph using the rise/run from b

 

section 3.6 p200 #9-18

one problem to solve for y to put into slope-intercept form and tell the slope and y-intercept

 

section 3.6 p200 #27-34

one problem given 2 points to find the slope and write the equation of the line using point-slope form, then solve for y to put into slope-intercept form

 

W 11/04

Homework is to study for the Friday Test 3 makeup if you are planning to take it. We worked more on section 4.2 today, and I will give you a few more problems to do in that section after the test.

 

F 11/06

Homework due Monday

4.2 p227 # 16, 20, 30, 36, 44

 

M 11/09

No classes on W 11/11 and F 11/13 due to Flex days and Veteran’s Day.

Homework due next Monday

4.3 p233 # 6, 10, 14, 16, 18

I will post the format of Test 4 here by the end of this week.

 

W 11/16

Test 4 will occur on Weds 11/18 as scheduled. You should be prepared for the following:

 

possibly a repeat of the last problem from Test #3 from 3.6 p200 #27-34

 

one problem like 3.2 p170 #1-20 or 3.3 p178 #1-16 where you will be given an equation and a partial table of points and you must plug in the values and solve for the other coordinates (given x, find y or given y, find x)

 

one problem as on W 10/28 where you must graph a parabola given a table of

points to fill in (it is U-shaped!).

 

about 3 short graphs to provide, where

one is a vertical line as in 3.2 p170 #9 and 3.3 p178 # 12, 31, 34,

one is a horizontal line as in 3.2 p170 #10 and 3.3 p178 #11, 32, 33,

one is a line that passes thru (0, 0) and you must choose another point to plug in and solve for as in 3.2 p170 #11-14 and 3.3 p178 #5-8, 23, 24.

 

one problem like 3.7 # 1-12 to graph an inequality using a test point and shading

 

one pair of equations to graph and estimate a solution like 4.1 p219 #1-16

 

one or two systems of equations to solve by elimination as in 4.2 p227 #1-44

 

one or two systems of equations to solve by substitution as in 4.3 p233 # 1-20