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WorksheetsSemester 2 Review
Total questions: 103
Worksheet time: 1hrs 11mins
The histogram shows the number of orders placed each day at an online retailer for a particular brand of shoes. The data was collected over a 60-day period. Which statement is true about this data set?
mean < median
mean ≈ median
mean > median
The relationship between the mean and the median cannot be determined from a histogram.
The histogram shows the number of orders placed each day at an online retailer for a particular brand of shoes. The data was collected over a 60-day period.
If the single outlier were removed from this data set, what would happen to the mean absolute deviation?
It would increase.
It would decrease.
It would stay about the same.
It is not possible to determine the effect of this change without knowing the actual data values.
The histogram shows the number of loaves of bread sold each day at a bakery over a 6-month period. Which of the following best describes the shape of this distribution?
uniform
left skewed
right skewed
bell shaped/symmetric
For one weekend day and one weekday, a township recorded the speed, in miles per hour, of vehicles passing by a sensor on a rural road. A selection of these data for each is shown in the tables. Upon calculating the mean for each day, what conclusion can be drawn?
Vehicles typically were traveling at a faster speed on Sunday than on Monday.
Vehicles typically were traveling at a slower speed on Sunday than on Monday.
No conclusion can be drawn using the mean since there are large outliers in the data sets. The median should be used.
No conclusion can be drawn since the means of the two data sets are very different; only data sets with similar means can be compared.
Karla is studying the relationship between two variables associated with students at her school. The scatter plot for the variables shows a linear relationship. Which correlation coefficient would indicate the strongest relationship between the two variables?
r = -0.8894
r = -0.7612
r = 0.5009
r = 0.8419
A real estate company collects data for the cost of homes in two neighborhoods. They find that in each neighborhood, the distribution of prices is bell-shaped and symmetric, with one large outlier in the first neighborhood, and two large outliers in the second.
When comparing the price of a typical home in each neighborhood, what measure should the company use?
mean
median
interquartile range
standard deviation
A real estate company collects data for the cost of homes in two neighborhoods. They find that in each neighborhood, the distribution of prices is bell-shaped and symmetric, with one large outlier in the first neighborhood, and two large outliers in the second.
When comparing the variability in prices for the two neighborhoods, what measure should the company use?
mean
median
interquartile range
standard deviation
The box plot shows the scores on a memory test given to a random sample of adults. How many adults were tested?
10
26
28
This cannot be determined from a box plot.
Researchers studied the language retention in bilingual individuals who learned their second language through formal coursework. The study finds that when their score on a test of fluency is plotted against the number of years since their most recent course on a scatter plot, the result is a linear pattern. Furthermore, the correlation coefficient is found to be r = -0.7231.
Suppose that a second group of individuals is studied, and their data show a similar pattern, but with r = -0.8939.
Which statement must be true?
There is a slightly weaker correlation between the scores and the number of years since their last course for the second group than for the first group.
There is a slightly stronger correlation between the scores and the number of years since their last course for the second group than for the first group.
The second group of individuals scored an average of 0.8939 points lower for each year since their last course, compared with only 0.7231 points lower for the first group.
The second group of individuals scored an average of 0.8939 points higher for each year since their last course, compared with only 0.7231 points higher for the first group.
A student gathered data and created the scatter plot below using a graphing calculator. Which of the following statements about the student's data is false?
The data is best modeled with a linear function.
The x-intercept of the graph of the best-fit function is approximately 5.
The graph of the best-fit function is increasing.
The data has a positive correlation.
The cost to produce one widget is a function of the total number of widgets produced. A widget manufacturer gathered the following data during the past year.
Based on this information, which of the following statements is true?
The data is best modeled with a linear function.
The cost per widget will never be greater than $25.
The data is best modeled with a quadratic function.
The manufacturer should produce as many widgets as possible to minimize cost.
The table shows the standard values of temperature at altitudes above sea level, as listed by the International Civil Aviation Organization.
Let r be the correlation coefficient for these data. Which of these statements best represents the data shown?
The value of r is 1, and the data can be represented by a straight line with a slope of 1.
The value of r is −1, and the data can be represented by a straight line with a slope of −1.
The value of r is 1, and the data can be represented by a straight line with a positive slope.
The value of r is −1, and the data can be represented by a straight line with a negative slope.
Consider the following data:
Set 1: 1, -4, 5, 0, 12
Set 2: 10, 6, 2, 1, 17
Which of the following statements are true?
I. Set 2 has a larger range than Set 1.
II. Set 1 has a smaller median than Set 2.
III. Adding a data point of 0 to Set 2 will not affect the set's standard deviation.
II, only
III, only
II and III, only
I, II, and III
Which equation most closely represents the line of best fit for the scatter plot below?
y = 1.5x + 4
y = 1.5x + 1
y = x
y = ⅔x + 1
The correlation coefficient of a data set relating the random variables X and Y is −0.95. Which statement about the data is true?
A linear model is a good fit for the data because the value of the correlation coefficient is negative.
A linear model is a good fit for the data because the value of the correlation coefficient is close to −1.
A linear model is not a good fit for the data because the value of the correlation coefficient is negative.
A linear model is not a good fit for the data because the value of the correlation coefficient is not close to 1.
The number of miles Carina drove each day last week is shown below.
7, 16, 12, 3, 10, 11, 9
Which of the following box plots correctly shows this information?
Vanessa is purchasing a plane ticket to visit her family during a busy traveling period. She is considering two different flights: flight 106 and flight 742. The data for wait times of these flights for the previous year are summarized in the box plots.
Which of the following is a reasonable conclusion to draw from the data?
Vanessa would be more likely to wait less than 10 minutes if she took flight 106.
Vanessa would be more likely to wait less than 30 minutes if she took flight 106.
Vanessa would be less likely to wait over an hour if she took flight 742.
Vanessa would be less likely to have a delayed flight if she takes flight 742.
The demographic data below was collected for people buying phones over one week at Westside Electronics.
Which measures should be used to compare the ages of patrons buying an Expo Phone and a BeepTouch?
Expo Phone: median
BeepTouch: median
Expo Phone: median
BeepTouch: mean
Expo Phone: mean
BeepTouch: median
Expo Phone: mean
BeepTouch: mean
Cara logged the number of minutes she watched TV each day for four weeks. Her results are shown below.
30, 30, 20, 40, 20, 45, 50
20, 20, 40, 30, 35, 0, 45
20, 15, 30, 25, 20, 15, 30
30, 20, 0, 20, 25, 35, 45
Which of the following dot plots correctly shows this information?
The demographic data below was collected one afternoon at Selhurst Mall. Which measures should be used to compare the ages of patrons using the east and south exits?
East: mean
South: mean
East: median
South: mean
East: mean
South: median
East: median
South: median
The table shows the average number of hours per day people spent engaged in an activity on a weekday or a weekend (for those who participated in the activity). Which of the following is a reasonable conclusion to draw from this data?
People eat greater amounts of food on the weekend than they do during the week.
A person is more likely to be a caregiver than to participate in organizational activities.
People who work strictly on the weekend work less than those who work strictly during the week.
In general, people have more time to spend on non-school and non-work related activities over the weekend since they work less on the weekend.
A farmer has determined that the total cost, in dollars, of selling a portion of his strawberries at the local farmer's market can be modeled by the function f(x) = 0.9x + 45, where x represents the number of pounds of strawberries that he brings to the market. Which of the following statements is true?
The farmer's total cost of attending the farmer's market and selling his strawberries is $45.
The farmer's total cost of attending the farmer's market and selling his strawberries is $90.
For each additional pound of strawberries the farmer brings to the market, his costs increase by 45 cents.
For each additional pound of strawberries the farmer brings to the market, his costs increase by 90 cents.
A jeweler that makes wooden pendants would like to participate in an upcoming art show. She has determined that the cost she would pay upfront to reserve and stock her booth would be c(x) = 8.75x + 50, where x represents the number of pendants that she brings to the show. Which of the following statements is true?
The jeweler's total cost of attending the art show and selling her pendants is $50.
The jeweler's total cost of attending the art show and selling her pendants is $875.
For each additional pendant the jeweler brings to the art show, her costs increase by $50.
For each additional pendant the jeweler brings to the art show, her costs increase by $8.75.
Ms. Reeves has split her classroom into three groups and asked each of them to make predictions on the population growth of the classroom frogs.
The table shows the three group models, where each function predicts the number of frogs after x generations. The students chose between exponential, linear, or quadratic models.
For values of x large enough, which of the following is true?
f(x) < g(x) < r(x)
f(x) < r(x) < g(x)
g(x) < f(x) < r(x)
g(x) < r(x) < f(x)
I only
III only
I and III, only
I, II, and III
Which function has the smaller minimum value, and why?
The function g has the smaller minimum value because the minimum value of f is 6, and the minimum value of g is 2.
The function g has the smaller minimum value because the minimum value of f is 6, and the minimum value of g is 5.
The function f has the smaller minimum value because the minimum value of f is -10, and the minimum value of g is 2.
The function f has the smaller minimum value because the minimum value of f is -10, and the minimum value of g is 5.
Sean compares two investment plans. He has $1,800 to invest and has the following options:
Plan A: The investment will earn 5% interest compounded annually.
Plan B: The investment will be supplemented with $150 annually.
Sean made a table to compare the projected values of the investments over time under the two plans.
Which of the following pieces of investment advice is true?
Plan A is the best option if Sean plans to withdraw the money in 10 years.
Plan A is the best option if Sean plans to withdraw the money in 25 years.
Plan B is the best option regardless of how long Sean intends to hold the investment.
Plan B is the best option if Sean intends to hold the investment for life and pass it on to his children.
Sean compares two investment plans. He has $1,800 to invest and has the following options:
Plan A: The investment will earn 5% interest compounded annually.
Plan B: The investment will be supplemented with $150 annually.
Sean made a table to compare the projected values of the investments over time under the two plans.
Which of the plans will be worth the most in 100 years, and why?
Plan A will be worth the most, because it grows according to a linear function while the other plan grows according to an exponential function.
Plan B will be worth the most, because it grows according to a linear function while the other plan grows according to an exponential function.
Plan A will be worth the most, because it grows according to an exponential function while the other plan grows according to a linear function.
Plan B will be worth the most, because it grows according to an exponential function while the other plan grows according to a linear function.
Think about it - is it asking about slope or y-intercept?
The bakery charges a fixed base rate of $18.25 per order.
The bakery charges a fixed base rate of $19.80 per order.
For each pastry that Cole ordered, the fee increased by a fixed
percentage of 1.55%.
For each pastry that Cole ordered, the fee increased by a fixed
amount of $1.55.
Sean compares two investment plans. He has $1,800 to invest and has the following options:
Plan A: The investment will earn 5% interest compounded annually.
Plan B: The investment will be supplemented with $150 annually.
Sean made a table to compare the projected values of the investments over time under the two plans.
Which of the following statements is best supported by the data in the table?
Linear growth will eventually outpace quadratic growth.
Exponential growth will eventually outpace linear growth.
Linear growth is always greater than exponential growth.
Exponential growth is always greater than linear growth.
There were 7,400,000 people who bought tickets to the movie the first week it was out.
There were 9,250,000 people who bought tickets to the movie the first week it was out.
Each week, there was an 80% increase in the number of people who bought tickets to the movie.
Each week, there was an 80% decrease in the number of people who bought tickets to the movie.
The four tables below show the companies' guarantees of the minimum number of people that will visit Adalyn's website. Which of the following tables represents the company that promises exponential growth?
Deposits are made at the end of the month into two savings accounts.
Account A starts with a balance of $50, and $100 is added each month.
Account B starts with a balance of $25, and 25% of the current balance is added each month.
The table shows the balances in the savings accounts at the end of each month for the first two months. If no withdrawals are made, when is the first time that Account B will contain more money than Account A?
at the end of 19 months
at the end of 20 months
at the end of 21 months
at the end of 22 months
Miguel has earned 3,000 frequent-flyer miles. For each trip he takes to visit his family, he earns 550 more miles.
Which of the following sequences expresses the number of frequent-flyer miles Miguel will have for visiting his family n times?
an = 3,550n
an = 3,000 ÷ 550n
an = 3,000 + 550n
an = 3,000 × 550n
t6
6t
3t6
3(6)t
A(t) = 1200(1.05)t
A(t) = 1200(1.10)t
A(t) = 1260(1.05)t
A(t) = 1260(1.10)t
A patient takes 500 milligrams of amoxicillin, a common antibiotic. Every hour, the concentration of amoxicillin in the bloodstream halves.
Which of the following sequences expresses the amount of amoxicillin in the bloodstream n hours later?
The population of a big city has grown exponentially since 2002. The table below shows the population P(t) of the city at various years since 2002, t. Which exponential function models the data?
A(t) = 1,800,000 ⋅ 0.10t
A(t) = 1,800,000 ⋅ 0.21t
A(t) = 1,800,000 ⋅ 1.10t
A(t) = 1,800,000 ⋅ 1.21t
y = 32.3(5.25)x
y = 5.25(0.677)x
y = 5.25(1.323)x
y = 0.325(0.0525)x
Reina has 14 rocks in her collection. She decides to add 3 rocks to her collection every week.
Which of the following sequences expresses the number of rocks in Reina's collection after n weeks?
an = n + 3n
an = 14 × 3n
an = 14 + 3n
an = 14n + 3n
In May, Janina measured her hair to be 17 inches long. She is growing her hair out and knows that hair grows at a rate of 0.5 inches per month.
Which of the following sequences expresses the length of Janina's hair after n months?
y = 45(0.32)x
y = 32(0.45)x
y = 32(0.55)x
y = 1.55(0.32)x
There were 22,000 people who purchased the game on the release
date.
There were 55,000 people who purchased the game on the release
date.
Each day, there is a 60% increase in the number of people who
purchase the game.
Each day, there is a 40% decrease in the number of people who
purchase the game.
Anita makes sugar cookies once a week. The first week, she uses 2 cups of sugar in her recipe. Each week afterwards, she uses ⅔ of the amount of sugar.
Which of the following sequences expresses the amount of sugar Anita uses in the cookies during the nth week.
A migrating salmon is 100 miles from home. It continues to travel away from home at a rate of 35 miles a day.
Which of the following sequences expresses the distance the salmon is from home after traveling for n days?
an = 35n
an = 135n
an = 100 + 35n
an = 100 × 35n
14, 17.50, 21, 24.50, 28, ...
10.50, 14, 17.50, 21, 24.50, ...
3.50, 14, 17.50, 21, 24.50, ...
14, 24.50, 35, 45.50, 56, ...
Ralph is driving his car at a rate of 32 miles per hour (mph). Ralph notices that the speed limit has increased, so he accelerates at a constant rate. The table below shows the speed of Ralph's car, c, and the time, t, since Ralph began accelerating. Which equation models the speed of Ralph's car after t minutes?
c = 2.4t + 32
c = 4t + 32
c = 32t + 0.5
c = 32t + 2.4
w = 1.14m - 19.4
w = 19.4m + 1.14
w = -19.4m - 1.14
w = -1.14m + 19.4
v = 7d + 125
v = 95d + 125
v = 125d + 190
v = 190d + 125
If Jay makes no sales, he is paid $450.10
For each sale Jay makes, he is paid $450.10
For each sale Jay makes, he is paid $12.20
If Jay makes no sales, he is paid $12.20
The value of the painting has decreased by $187 each year
The value of the painting has increased by $663 each year
The value of the painting has increased by 78% each year
The value of the painting has decreased by 22% each year
m = 8.75h
h = 8.75m
m = 17.50h
h = 17.50m
2,002, 2,328, 2,654, 2,980, ...
2,328, 2,654, 2,980, 3,306, ...
26,780, 27,106, 27,432, 27,758, ...
27,106, 27,432, 27,758, 28,084, ...
A culture of bacteria doubles every 90 minutes. If there are 100 bacteria in the culture initially, how many are there in total after 24 hours?
6,553,500
6,553,600
13,107,100
13,107,00
A child on a swing is pushed just once. The child moves a distance of 10 feet the first swing, and then only 83% as much as the previous swing for each one after.
Which of the following sequences expresses the distance the child travels n swings after the first?
an = (10.83)n
an = (10.83)n
an = 10(0.83)n
an = 10(0.83)n
Neil invests $730 in a project that gains 3.6% of its value at the end of every month. For which sequence does the nth term represent the value of Neil's investment n months after his initial investment?
704.63, 680.15, 656.51, 633.70
733.60, 737.20, 740.80, 744.40
731.90, 774.46, 797.69, 821.62
756.28, 783.51, 811.71, 840.93
200, 197, 194, 191, 188, ...
200, 203, 206, 209, 212, ...
203, 206, 209, 212, 215, ...
197, 194, 191, 188, 185, ...
c(t) = 5t
c(t) = 15t
c(t) = 5 + 15t
c(t) = 15 + 5t
y = 15(1500)x
y = 1500(1.15)x
y = 1500(0.85)x
y = 0.15(1500)x
7.8
8.8
9.8
10.8
Examine the sequence of values below.
−38.8, −22.6, −6.4, 9.8, 26, 42.2
Which algebraic expression represents the nth value in this sequence?
16.2n - 22.6
16.2n - 55
-16.2n - 22.6
15.8n - 23
n + 3
3n + 4
3n + 7
7n + 3
In which graph does line m have a slope of 0?
-9
35
59
85
What happens to the graph of the quadratic function y = x2 − c as the value of c increases?
The graph retains its shape but is translated downward.
The graph becomes wider.
The graph becomes narrower.
The graph retains its shape but is translated upward.
(19, 159)
(7, 179)
(7, 159)
(19, 179)
A reflection over y = 2
A translation of 2 units to the left
A translation of 2 units up
A reflection over x = 2
-4/3
-3/4
4/3
3/4
A function is shown below.
y − 3x2 = −6x + 3
Which of the following shows the function correctly written in function notation?
y = x2 + 2x + 1
f(x) = 3x2 - 6x + 3
f(x) = 3x2 + 6x + 3
y = x2 − 2x + 1
The total number of free containers is the number of stamps divided
by 8.
The total number of free containers is the number of stamps divided
by 6.
The total number of free containers is 8 fewer than the number of
stamps.
The total number of free containers is 7 fewer than the number of
stamps.
What happens to the graph of the quadratic function y = x2 + c as the value of c increases?
The y-intercept increases.
The x-intercepts decrease.
The x-intercepts increase.
The y-intercept decreases.
Which equation best represents the relationship between s, the side length of the square base of a prism, and V, the volume of a square prism whose height remains the same?
V = 8s
V = 2(4s2)
V = 4s2
V = 4(2s)
-2
-1/50
1/50
2
The gas mileage that Miguel's car gets decreases as the amount of miles that it has traveled increases.
The amount of gas Miguel's car uses is a quadratic function of the amount of miles it travels.
The amount of gas Miguel's car uses is a linear function of the amount of miles it travels.
The gas mileage that Miguel's car gets increases as the amount of miles that it has traveled increases.
What is the slope of the line represented by the equation x + 2y = 6?
-½
1
2
6
y = −4(x − 1)(x + 3)
y = x2 − 4x − 3
y = 0.5(x − 3)(x + 1)
y = −2(x2 − 3)
The domain for f(x) = x2 − 3 is 0 ≤ x ≤ 4. The least value in the range of f(x) is —
-3
0
4
16
Look at the list of numbers below.
1, 2, 5, 14, 41, ___
Which rule can be used to find the next number in the pattern?
multiply the previous number by 3 and subtract 1
add 2 to the previous number
multiply the previous number by 4 and subtract 2
add 9 to the previous number
The total number of pounds equals the number of bags multiplied by
22.
The total number of pounds equals the number of bags divided by 11.
The total number of pounds equals the number of bags divided by 6.
The total number of pounds equals the number of bags multiplied by
44.
Reflection over the line y = x
Reflection over the y-axis
Reflection over the origin
Reflection over the x-axis
Which is the range of the relation y = 2x2 + 3x if the domain is the set {−2, −1, 0}?
{2, 1, 0}
{10, 1, 0}
{2, −1, 0}
{−1, −5, 0}
The domain for g(x) = 5x − 1 is −2 ≤ x ≤ 2. What is the least value in the range of g?
-11
-9
9
11
Examine the sequence of integers below.
−16, −10, −4, 2, 8, 14
Which algebraic expression represents the nth integer in this sequence?
6n - 16
-6n - 10
-6n + 2
6n - 22
If the domain of f(x) = 2x + 1 is {−2 ≤ x ≤ 3}, which integer is NOT in the range?
-4
-2
0
7
What is the slope of the line represented by the equation 5y − 10x = −15?
-15
-10
2
10
What is the slope of the line represented by the equation 2y = 5x + 4?
2/5
2
5/2
5
Which of the following sequences matches the rule shown below?
N = 3n + 4
7, 11, 15, 19
1, 3, 5, 7
1, 4, 7, 10
7, 10, 13, 15
Which table represents the function that is graphed below?
Janna and Travon are creating posters for the school play. Together they will have f (t) posters after creating posters for t hours.
f (t) = 5t + 3
The function f represents the fact that every hour —
Janna and Travon can make 5 posters together, and 3 posters were already made.
Janna can make 5 posters, and Travon can make 3 posters.
Travon can make 4 posters, and Janna can make 1 poster.
Janna and Travon can make 5 posters apiece, and 3 posters were already made.
How must the graph of y = 3x2 + 1 be transformed to obtain the graph of y = 3x2 − 1?
Each point on the graph of y = 3x2 + 1 must be translated 2 units
left.
Each point on the graph of y = 3x2 + 1 must be translated 2 units
up.
Each point on the graph of y = 3x2 + 1 must be translated 2 units
down.
Each point on the graph of y = 3x2 + 1 must be translated 2 units
right.
When the function y = 3x2 is transformed into the function y = −3x2, each point on the graph of y = 3x2 is —
reflected across the y-axis to create the graph of y = −3x2.
translated 6 units down to create the graph of y = −3x2.
translated 6 units up to create the graph of y = −3x2.
reflected across the x-axis to create the graph of y = −3x2.
A tank contains 340 liters of water when it begins to leak at a rate of 6 liters per minute into an empty container. Which equation shows the number of minutes, x, it will take for the tank and the container to have the same amount of water?
340 − 6x = 6x − 340
340 − 6x = 6x
340 − 6x = 0 − 340
340 − 6x = ½ × 340
Maria wants to buy a trophy and engrave her son's name on it. At Trophies Unlimited, trophies cost $12 each and engraving costs 40¢ per letter, while at Centerpiece Trophies, trophies are $12.50 each and engraving is 30¢ per letter. If Maria's costs would be the same at both stores, which equation shows the number of letters, x, in her son's name?
12(x + 0.4) = 12.5(x + 0.3)
12 + 0.4x = 12.5 + 0.3x
0.4 + 12x = 0.3 + 12.5x
What is the zero of the following linear function?
f (x) = −12x + 48
-12
4
48
60
What is the zero of the following linear function?
g(x) = 1.3x − 139.1
-139.1
0
1.3
107
Which quadratic equation has −2 and 1 as its roots?
x2 − x + 2 = 0
x2 + x + 2 = 0
x2 + x − 2 = 0
x2 − x − 2 = 0
A rock falls from the top of a cliff to the ocean 100 feet below. The distance, S, the rock is from the ocean as it falls is represented by the function S(t) = −16t2 + 100, where t represents the number of seconds the rock has been falling. According to this function, how long does it take the rock to hit the water?
2.0 seconds
2.5 seconds
5.0 seconds
6.3 seconds
A ball is thrown from ground level straight up into the air at an initial velocity of 54 feet per second. The height of the ball tseconds after it is thrown is given by the formula h(t) = 54t − 16t2. How many seconds after the ball is thrown will it return to the ground?
2.875
3.375
4
4.25
The surface area of a box, A, is determined by the function A(w) = 3(4 − w)(4 − 2w). If a second box, B, has a surface area that is greater than the area of the first box, which of the following inequalities describes the area of the second box?
B(w) < 48 − 12w + 2w2
B(w) < 48 − 36w + 2w2
B(w) > 6w2 − 36w + 48
B(w) > 2w2 − 12w + 16
