1.The table shows the total assets (in trillions) held in a foreign bank for the given years. Complete parts (a)
...
ete parts (a) through (c) below.
Year
2000
2005
2007
2009
2011
2013
2015
Assets
15
40
52
79
117
151
199
(a) Find an exponential model of the form f(t)y0bt for these data, where t=0 corresponds to the year 2000. If you do not have suitable technology, use the first and last data points to find a function. If you have a graphing calculator or other suitable technology, use exponential regression to find a function.
The exponential model for the data is f(t)=
.
(Round to three decimal places as needed.)
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5.Think about it
Rewrite each expression as an addition expression.
-22 – (-34)
...
2. 24 – 15 – (-31)
-22+34 24+15+-31
Partner Practice: Rewrite each expression as an addition expression.
Subtraction Expression
Addition Expression
23 - 43
23+(-43)
19 - 68
19+(-68)
-14 - 43
-14+(-43)
-1 - 8
-1+(-8)
45 - (-14)
45+14
-23 - (-65)
-23+65
Evaluate Expression:
-23 - 15
-23+(-15)
-38
12 - 33 12+(-33) -21
14 – 23 + (-9) 14+-23+(-9) -9+(-9)
Melanie has $65 in her account. She spends $12 on a book and $40 on a bag. Her sister asks her “are you going to have enough money to contribute $15 towards mom’s birthday gift?” Melanie replies- “no problem!”
Understand:
Plan:
Estimate/Predict:
Solve:
Answer: Melanie _________________ have enough money to contribute to her mom’s birthday gift.
Think About it
Evaluate each expression using the addition rules we have developed.
6 + (-10)
-4
-11 + 19
8
-6 + (- 7) -13
-26
Independent Practice:
Evaluate Expression:
-33 – (-44)
11
27 – 48
27+(-48)
-16 – 22
-16+(-22)
Which equations below are not true statements? Select all that apply. Explain your selection.
71 – (-19) = 90
71 – 19 = 52
-71 – 19 = -52
-71 + 19 = -52
-71 – (-19) = -90
A submarine is at a depth of 12 meters below sea level. The submarine then descends 79 meters. What is the depth of the submarine now? (*descends means moving down)
Jennah was evaluating the expression -7 – 83 +14.
Here is her work:
-7 + 83 + 14
75 + 14
89
Do you agree or disagree with her answer? Explain your answer using complete sentences.
The Titans and the Broncos played football last week. The table below shows each team’s first five plays of the game.
Play
Titans
Broncos
1
Loss of 15 yards
Gain of 25 yards
2
Gain of 24 yards
Gain of 19 yards
3
Loss of 12 yards
Loss of 11 yards
4
Gain of 38 yards
Loss of 17 yards
5
Loss of 21 yards
Loss of 14 yards
I) Which team had gained more yards after the fifth play?
II) How many more yards did they gain?
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6.Think About it
Evaluate each expression using the addition rules we have developed.
6 + (-10)
-4
-11 + 19
8
...
-4
-11 + 19
8
-6 + (- 7) -13
-26
Rewrite each expression as an addition expression.
-22 – (-34) 2. 24 – 15 – (-31)
-22+34 24+15+-31
Partner Practice: Rewrite each expression as an addition expression.
Subtraction Expression
Addition Expression
23 - 43
23+(-43)
19 - 68
19+(-68)
-14 - 43
-14+(-43)
-1 - 8
-1+(-8)
45 - (-14)
45+14
-23 - (-65)
-23+65
Evaluate Expression:
-23 - 15
-23+(-15)
-38
12 - 33 12+(-33) -21
14 – 23 + (-9) 14+-23+(-9) -9+(-9)
Melanie has $65 in her account. She spends $12 on a book and $40 on a bag. Her sister asks her “are you going to have enough money to contribute $15 towards mom’s birthday gift?” Melanie replies- “no problem!”
Understand:
Plan:
Estimate/Predict:
Solve:
Answer: Melanie _________________ have enough money to contribute to her mom’s birthday gift.
Independent Practice:
Evaluate Expression:
-33 – (-44)
11
27 – 48
27+(-48)
-16 – 22
-16+(-22)
Which equations below are not true statements? Select all that apply. Explain your selection.
71 – (-19) = 90
71 – 19 = 52
-71 – 19 = -52
-71 + 19 = -52
-71 – (-19) = -90
A submarine is at a depth of 12 meters below sea level. The submarine then descends 79 meters. What is the depth of the submarine now? (*descends means moving down)
Jennah was evaluating the expression -7 – 83 +14.
Here is her work:
-7 + 83 + 14
75 + 14
89
Do you agree or disagree with her answer? Explain your answer using complete sentences.
The Titans and the Broncos played football last week. The table below shows each team’s first five plays of the game.
Play
Titans
Broncos
1
Loss of 15 yards
Gain of 25 yards
2
Gain of 24 yards
Gain of 19 yards
3
Loss of 12 yards
Loss of 11 yards
4
Gain of 38 yards
Loss of 17 yards
5
Loss of 21 yards
Loss of 14 yards
I) Which team had gained more yards after the fifth play?
II) How many more yards did they gain?
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7.Think About it
Evaluate each expression using the addition rules we have developed.
6 + (-10)
-10-10
-11 + 19
-8
...
-10-10
-11 + 19
-8
-6 + (- 7) -13
Rewrite each expression as an addition expression.
-22 – (-34) 2. 24 – 15 – (-31)
-22+34 24+15+-31
Partner Practice: Rewrite each expression as an addition expression.
Subtraction Expression
Addition Expression
23 - 43
23+(-43)
19 - 68
19+(-68)
-14 - 43
-14+(-43)
-1 - 8
-1+(-8)
45 - (-14)
45+14
-23 - (-65)
-23+65
Evaluate Expression:
-23 - 15
-23+(-15)
-38
12 - 33 12+(-33) -21
14 – 23 + (-9) 14+-23+(-9) -9+(-9)
Melanie has $65 in her account. She spends $12 on a book and $40 on a bag. Her sister asks her “are you going to have enough money to contribute $15 towards mom’s birthday gift?” Melanie replies- “no problem!”
Understand:
Plan:
Estimate/Predict:
Solve:
Answer: Melanie _________________ have enough money to contribute to her mom’s birthday gift.
Independent Practice:
Evaluate Expression:
-33 – (-44)
-33+44
27 – 48
27+(-48)
-16 – 22
-16+(-22)
Which equations below are not true statements? Select all that apply. Explain your selection.
71 – (-19) = 90
71 – 19 = 52
-71 – 19 = -52
-71 + 19 = -52
-71 – (-19) = -90
A submarine is at a depth of 12 meters below sea level. The submarine then descends 79 meters. What is the depth of the submarine now? (*descends means moving down)
Jennah was evaluating the expression -7 – 83 +14.
Here is her work:
-7 + 83 + 14
75 + 14
89
Do you agree or disagree with her answer? Explain your answer using complete sentences.
The Titans and the Broncos played football last week. The table below shows each team’s first five plays of the game.
Play
Titans
Broncos
1
Loss of 15 yards
Gain of 25 yards
2
Gain of 24 yards
Gain of 19 yards
3
Loss of 12 yards
Loss of 11 yards
4
Gain of 38 yards
Loss of 17 yards
5
Loss of 21 yards
Loss of 14 yards
I) Which team had gained more yards after the fifth play?
II) How many more yards did they gain?
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8.Evaluate each expression using the addition rules we have developed.
6 + (-10)
-10-10
-11 + 19
-8
-6 + (- 7) -13
...
-8
-6 + (- 7) -13
Make tweaks, leave comments, and share with others to edit at the same time.
NO THANKSUSE THE APP
Austin Cassista - Reteach Lesson 7 & 8
Think About it
Evaluate each expression using the addition rules we have developed.
6 + (-10)
-10-10
-11 + 19
-8
-6 + (- 7) -13
Rewrite each expression as an addition expression.
-22 – (-34) 2. 24 – 15 – (-31)
-22+34 24+15+-31
Partner Practice: Rewrite each expression as an addition expression.
Subtraction Expression
Addition Expression
23 - 43
23+(-43)
19 - 68
19+(-68)
-14 - 43
-14+(-43)
-1 - 8
-1+(-8)
45 - (-14)
45+14
-23 - (-65)
-23+65
Evaluate Expression:
-23 - 15
-23+(-15)
-38
12 - 33 12+(-33) -21
14 – 23 + (-9) 14+-23+(-9) -9+(-9)
Melanie has $65 in her account. She spends $12 on a book and $40 on a bag. Her sister asks her “are you going to have enough money to contribute $15 towards mom’s birthday gift?” Melanie replies- “no problem!”
Understand:
Plan:
Answer: Melanie _________________ have enough money to contribute to her mom’s birthday gift.
Independent Practice:
Evaluate Expression:
-33 – (-44)
-33+44
27 – 48
27+(-48)
-16 – 22
-16+(-22)
Which equations below are not true statements? Select all that apply. Explain your selection.
71 – (-19) = 90
71 – 19 = 52
-71 – 19 = -52
-71 + 19 = -52
-71 – (-19) = -90
A submarine is at a depth of 12 meters below sea level. The submarine then descends 79 meters. What is the depth of the submarine now? (*descends means moving down)
Jennah was evaluating the expression -7 – 83 +14.
Here is her work:
-7 + 83 + 14
75 + 14
89
Do you agree or disagree with her answer? Explain your answer using complete sentences.
The Titans and the Broncos played football last week. The table below shows each team’s first five plays of the game.
Play
Titans
Broncos
1
Loss of 15 yards
Gain of 25 yards
2
Gain of 24 yards
Gain of 19 yards
3
Loss of 12 yards
Loss of 11 yards
4
Gain of 38 yards
Loss of 17 yards
5
Loss of 21 yards
Loss of 14 yards
I) Which team had gained more yards after the fifth play?
How many more yards did they gain?
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11.The cumulative final exam is scheduled for Tuesday, April 28, 2020. This is an online exam which contains 40 questions
...
tains 40 questions on the material that we have covered during class lectures and the recorded videos (Chapters 1, 2, 3, 4, 5, 8, 9, and 10). You will be given 80 minutes to submit your answers. The final exam will be found under "Online Exams" module on Canvas.
The final exam will be available from 8:00 a.m. - 9:35 a.m. and you'll have 80 minutes to complete the test. This means that if you decide to start the exam at 9:00 a.m., you'll have 35 minutes to submit your answers. The test will no longer be available after 9:35 a.m. Please plan accordingly!
Before you take the online final exam, make sure to use "Chrome" Browser. Canvas operates best under Chrome. Also, stay as close as possible to your router in order to avoid any internet disconnection problems.
You are welcome to use your class notes and the textbook. Make sure to have a periodic table with you, a scientific calculator, and scrap paper. The final exam questions will be in the same format as the previous exams 3 & 4.
I will be available this weekend if you have questions.
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13.After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow
...
nbow is the shape of a parabola.
The equation for this parabola is y = -x2 + 36.
Graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0.
Create a table of values for a linear function. A drone is in the distance, flying upward in a straight line. It intersects the rainbow at two points. Choose the points where your drone intersects the parabola and create a table of at least four values for the function. Remember to include the two points of intersection in your table.
Analyze the two functions. Answer the following reflection questions in complete sentences.
What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not?
What are the x- and y-intercepts of the rainbow? Explain what each intercept represents.
Is the linear function you created positive or negative? Explain.
What are the solutions or solution to the system of equations created? Explain what it or they represent.
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14.Professor Maya was interested in maximizing student learning in all her classes. She decided the best way to do that
...
t way to do that would be to investigate her students’ test performance in a number of ways.
The first thing she did was separate her students’ test scores based on the time of day she held her lectures (morning vs evening). Next she recorded the type of test students were writing (multiple choice vs short answer). She selected a random sample of students from her morning (n = 6) and evening (n = 7) classes (total of 13) and recorded scores from two of their tests as shown below.
Morning
Evening
Multiple Choice
Short Answer
Multiple Choice
Short Answer
66
74
70
45
64
55
80
55
72
77
78
55
70
57
84
60
61
58
64
70
67
69
84
60
70
63
DATA Set 1:
Good morning sunshine. Is Time of Day important?
1. Prof. Maya recently read an article that concluded students retained more information when attending classes in the morning. Based on this finding she thought students in her morning class might have performed differently on their Short Answer test scores when compared to students in her evening class. Does the data support her hypothesis? [15 points]
Multiple Guess! Does Exam Type matter?
2. Prof. Maya also knew that students often did better on multiple-choice tests because they only have to recognize the information (rather than recall it). Given this, she thought students attending the morning class might perform differently on the Multiple-Choice test when compared to the Short Answer test. Does the data support her hypothesis? [15 points]
DATA Set 2:
We’ll try anything once. Does the new Tutorial Plan work?
3. Combining all of her students (and ignoring time of day), Prof. Maya asked her TAs to try a new – and very expensive - tutorial study plan. She then chose a random sample of 20 students to receive the new study plan and another sample of 30 to continue using the old study plan. Following an in-class quiz, she divided the students into 3 levels of achievement (below average, average, and above average), and then created the frequency table below. Does the new expensive tutorial study plan improve student performance? [15 points]
Below average
Average
Above Average
New plan
7
7
6
Old plan
6
15
9
DATA Set 3:
How are YOU doing?
4. Finally, Prof. Maya thinks that her 2018 class is doing better than her 2017 class did. She decided to collect a sample of test scores from the students in her course this year (combining all of the groups) and compare the average with her previous year’s class average. Does the data support her hypothesis? [15 points]
The 2017 class average = 63%
The 2018 sample size = 25
The 2018 sample standard deviation = 11
The 2018 sample average = use your actual midterm mark (yes, you the student reading this :)
Bonus: What does it all mean?
5. Bonus: IF Prof. Maya had complete control of how and when she ran her course in 2018, considering all the info you just found in the 3 data sets, write a brief statement of how you would recommend she set-up the course next year – and explain why. [5 points]
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15.Professor Maya was interested in maximizing student learning in all her classes. She decided the best way to do that
...
t way to do that would be to investigate her students’ test performance in a number of ways.
The first thing she did was separate her students’ test scores based on the time of day she held her lectures (morning vs evening). Next she recorded the type of test students were writing (multiple choice vs short answer). She selected a random sample of students from her morning (n = 6) and evening (n = 7) classes (total of 13) and recorded scores from two of their tests as shown below.
DATA Set 1:
Good morning sunshine. Is Time of Day important?
1. Prof. Maya recently read an article that concluded students retained more information when attending classes in the morning. Based on this finding she thought students in her morning class might have performed differently on their Short Answer test scores when compared to students in her evening class. Does the data support her hypothesis? [15 points]
Multiple Guess! Does Exam Type matter?
2. Prof. Maya also knew that students often did better on multiple-choice tests because they only have to recognize the information (rather than recall it). Given this, she thought students attending the morning class might perform differently on the Multiple-Choice test when compared to the Short Answer test. Does the data support her hypothesis? [15 points]
DATA Set 2:
We’ll try anything once. Does the new Tutorial Plan work?
3. Combining all of her students (and ignoring time of day), Prof. Maya asked her TAs to try a new – and very expensive - tutorial study plan. She then chose a random sample of 20 students to receive the new study plan and another sample of 30 to continue using the old study plan. Following an in-class quiz, she divided the students into 3 levels of achievement (below average, average, and above average), and then created the frequency table below. Does the new expensive tutorial study plan improve student performance? [15 points]
Below average
Average
Above Average
New plan
7
7
6
Old plan
6
15
9
DATA Set 3:
How are YOU doing?
4. Finally, Prof. Maya thinks that her 2018 class is doing better than her 2017 class did. She decided to collect a sample of test scores from the students in her course this year (combining all of the groups) and compare the average with her previous year’s class average. Does the data support her hypothesis? [15 points]
The 2017 class average = 63%
The 2018 sample size = 25
The 2018 sample standard deviation = 11
The 2018 sample average = use your actual midterm mark (yes, you the student reading this :)
Bonus: What does it all mean?
5. Bonus: IF Prof. Maya had complete control of how and when she ran her course in 2018, considering all the info you just found in the 3 data sets, write a brief statement of how you would recommend she set-up the course next year – and explain why. [5 points]
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16.
Value: 1
equation image indicator
a. (x - 2)2(x - 3)2
b. (x2+ 4)(x2+ 9)
c. (x - 2)(x +
...
2)(x - 3)(x + 3)
d. (x2 - 4)(x2+ 9)
Value: 1
The table below shows the cost of purchasing a standard stapler at five office supply stores, A through E. If the median cost of purchasing a standard stapler for these stores was $17.99, which of the following could NOT have been the cost of the stapler for Store A?
staplergraph.jpg
a. $19.95
b. $18.95
c. $16.95
d. $19.25
Value: 1
If equation image indicator then x =
a. 7
b. 1/5
c. 5
d. 1/7
Value: 1
A six−sided die, with sides numbered 1,2, 3,4,5, and 6, is tossed. What is the probability of tossing a number less than three?
a. 1/3
b. 0
c. 1/2
d. 1/4
Value: 1
If 6m + 4 = 8m, then 4m =
a. 6
b. 2
c. 8
d. 4
Value: 1
In the xy-plane, what is the y-intercept of the graph of the equation equation image indicator?
a. 2
b. 4
c. 16
d. There is no y-intercept.
Value: 1
Which of the following equations has both 2 and −4 as solutions?
a. x2 + 6x + 8 = 0
b. x2 - 2x - 8 = 0
c. x2 + 2x - 8 = 0
d. x2 - 2x + 8 = 0
Value: 1
The perimeter of a square is 20 ft. If you increase the length of the square by 2 feet and decrease the width by 1 foot, what is the area, in square feet, of the new figure?
a. 22
b. 28
c. 35
d. 40
Value: 1
(3x-2y4)-3 =
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
Value: 1
A softball is tossed into the air upward from a first floor balcony. The distance of the ball above the ground at any time is given by the function, distance function.png, where h(t) is the height of the softball above the ground (in feet) and t is the time (in seconds). What was the maximum height, in feet, of the softball above the ground after it was thrown?
a. 28
b. 30
c. 32
d. 34
Value: 1
A group of 100 people, some students and some faculty, attended a museum opening. Each student paid $10 per person for entrance to the museum and each of the faculty paid $25 per person for entrance. If the total paid, for all 100 people, was $1300, how many students attended the museum opening?
a. 20
b. 50
c. 70
d. 80
Value: 1
The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?
a. 21
b. 15
c. 19
d. 9
Value: 1
In the xy−coordinate plane shown below, point P has coordinates (8, −6). Which of the following is an equation of the line that contains points O and P?
O and P graph.jpg
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
Value: 1
The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?
a. 54
b. 6
c. 2/3
d. 3/2
Value: 1
A farmer has 1235 trees to be planted on a rectangular parcel of land. If there are 24 trees planted in each row and each row must be complete before it is planted, how many trees will be left over after planting?
a. 21
b. 11
c. 0
d. 55
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17.
Complete the table below. Be sure to simplify your fractions 1. x -4,0,2,4,5
...
2.f(x) 2,-6,?,-8,?
3.g(x) 1,-4,-3,?,?
4.(f-g)(x) ?,-2,?,-14,-12
5.(f/g)(x) 2,?,10/3,?,-1/5
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