
Advanced Algebra Midterm Review
Authored by Shawna Tucker
Mathematics
11th Grade
CCSS covered
Used 13+ times

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19 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Walter starts with a paper that is 1 millimeter thick and folds it in half repeatedly, doubling its thickness with each fold. After a certain number of folds, the paper's thickness is 2 millimeters. How many more times, y, must Walter fold the paper to reach a thickness of x millimeters?
Equation: y = log2 x Solution: (4, 2); To reach a thickness of 4 millimeters, Walter needs to fold the paper 2 times.
Equation: y = log2 x Solution: (8, 3); To reach a thickness of 8 millimeters, Walter needs to fold the paper 3 times.
Equation: y = log2 (2x) Solution: (4, 1); To reach a thickness of 4 millimeters, Walter needs to fold the paper 1 times.
Equation: y = log2 (2x) Solution: (8, 2); To reach a thickness of 8 millimeters, Walter needs to fold the paper 2 times.
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The variable y must be negative.
The term (1 + yt) must be positive.
The term (1 + yt) must be increasing each year.
The variable y must be greater than 0 but less than 1.
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Two data sets with the same mean are given below.
Data set A
5, 5.5, 6, 6, 6.5, 6.5, 7, 7, 7, 7.5, 7.5, 7.5, 7.5, 7.5, 7.5, 8, 8, 8, 8.5, 8.5, 9, 9, 9.5, 10
Data set B
4, 4.5, 5, 5.5, 5.5, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10.5, 10.5, 11, 11.5, 12
Which statement best describes the difference in standard deviations between the two data sets and the suitability of using standard deviation to compare their spread?
The standard deviation of data set B is about 1.2 units greater than the standard deviation of data set A. Using the standard deviation to compare spread is appropriate for these data sets.
The standard deviation of data set B is about 5.0 units greater than the standard deviation of data set A. Using the standard deviation to compare spread is appropriate for these data sets.
The standard deviation of data set B is about 1.2 units greater than the standard deviation of data set A. Using the standard deviation to compare spread is not appropriate for these data sets.
The standard deviation of data set B is about 5.0 units greater than the standard deviation of data set A. Using the standard deviation to compare spread is not appropriate for these data sets.
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Thalia develops a new pesticide and tests it on tomato plants. In a controlled experiment, the tomatoes treated with the pesticide had an average size increase of 3 inches compared to the control group.
Thalia wants to assess if this increase in average size is statistically significant. The dot plot shows the results of 100 simulations of re-randomizing all of the data from the experiment into two groups and calculating the difference in average sizes.
Which of these best describes whether the increase in average size from the experiment is significant?
significant; There is less than a 5% probability that the situation where the treatment group has sizes that are 3 or more inches greater than the control group occurs by chance.
significant; There is greater than a 5% probability that the situation where the treatment group has sizes that are 3 or more inches greater than the control group occurs by chance.
not significant; There is less than a 5% probability that the situation where the treatment group has sizes that are 3 or more inches greater than the control group occurs by chance.
not significant; There is greater than a 5% probability that the situation where the treatment group has sizes that are 3 or more inches greater than the control group occurs by chance.
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
An initial investment of $5000 will have a value of $3646.52 more than an initial investment of $2000 after 4 years.
It will take an additional 3646.52 more years to earn 4 times the initial investment if the initial investment is $5000 than if the initial investment is $2000.
It will take approximately 3646.52 more years for an initial investment of $4 to reach an investment value of $5000 than to reach an investment value of $2000
It will take an additional $3646.52 in initial investment to reach an investment value of $5000 in 4 years than to reach an investment value of $2000 in 4 years
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
81
100
300
243
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Let m(x)=x2−2 and n(x)=(x−2)2.
What is n(m(x))?
A) x^4 - 16x^3 + 96x^2 - 256x + 256
B) x^4 - 8x^2 + 16
C) x^4 - 8x^3 + 16x^2
D) x^4 - 4x^3 + 4x^2
Tags
CCSS.HSF-BF.A.1C
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