If $3 y=y+2,$ what is the value of 2$y ?$

A) 1

B) 2

C) 3

D) 4

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Merry joined an online community that charges a monthly fee of $\$ 15 . \mathrm{A}$

one-time enrollment fee of $\$ 50$ was charged when she joined. Which of the

following represents the total amount of fees that Merry has paid to the

community organizers after $m$ months, in dollars?

$$

\begin{array}{l}{\text { A) } 15 m+50} \\ {\text { B) } 15+50 m} \\ {\text { C) } 15 m-50} \\ {\text { D) }(15+50) m}\end{array}

$$

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Rob has his favorite guitar tuned up and ready to bring to a performance by

his cover band at a local venue Saturday. He decides at the last minute to

bring $x$ additional guitars, just in case his favorite guitar has an issue. If the

total number of guitars that Robert brings to the performance can be

modeled as $x+1,$ what does the $^{*}+1^{\prime \prime}$ account for in the expression?

A) It accounts for an additional guitar that Rob returns to his house and

picks up in the middle of the performance.

B) It accounts for his favorite guitar, which Rob was bringing from the

beginning.

C) It accounts for the number of additional guitars that Rob decided to

bring.

D) It accounts for an additional non-guitar musical instrument that Rob

decided to bring.

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A group of 24 students was polled as to whether they enjoy biology class,

chemistry class, both, or neither. The results are shown in the table below:

$$

\begin{array}{|c|c|c|}\hline & {\text { Biology }} & {\text { Chemistry }} \\ \hline \text { Enjoy } & {14} & {18} \\ \hline \text { Don't Enjoy } & {10} & {6} \\ \hline\end{array}

$$

Given the above data, which of the following conclusions is true?

A) The ratio of those who enjoy biology class to those who enjoy chemistry

class is $7 : 8 .$

B) The ratio of those who enjoy chemistry class to those who don't enjoy

chemistry class is $9 : 4 .$

C) The ratio of those who enjoy biology class to those who don't enjoy

chemistry class is $7 : 2 .$

D) The ratio of those who don't enjoy biology class to those who enjoy

chemistry class is $5 : 9 .$

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Dr. Goldberg, a noted dietician, mixes different solutions as part of her

research into sugar substitutes. By weight, she mixes 40$\%$ of a sample of substitute $A$ and 70$\%$ of a sample of substitute $B$ to create substitute C.If

Dr. Goldberg initially had 60 grams of substitute $A$ and 110 grams of

substitute $B,$ then what would be the weight, in grams, of substitute $C ?$

A) 24

B) 77

C) 101

D) 170

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Which of the following is equivalent to the expression $$x^{4}-x^{3}-x^{2} ?$$

$$

\begin{array}{l}{\text { A) } x\left(x^{2}-x-1\right)} \\ {\text { B) } x\left(x-x^{2}-x^{3}\right)} \\ {\text { C) } x\left(x^{3}-x^{2}\right)} \\ {\text { D) } x^{2}\left(x^{2}-x-1\right)}\end{array}

$$

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Officer Blake drives his squad car 1 mile per minute while patrolling local

highways during his shift. If he has driven 480 miles by the end of his shift,

how many total hours did he drive his car at the above rate?

A) 8

B) 12

C) 16

D) 20

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In the inequality $37 \leq-2 x+1,$ what is the appropriate order of steps

needed to solve the inequality for $x ?$

A) Add 1 to both sides, divide both sides by 2 , and flip the inequality sign

to $\geq .$

B) Subtract 1 from both sides, divide both sides by -2, and flip the

inequality sign to $\geq .$

C) Add 1 to both sides, divide both sides by $-2,$ and keep the original inequality sign.

D) Subtract from both sides, divide both sides by 2 , and keep the original

inequality sign.

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What is the value of $$\left(2 x^{2}+4 x+8\right)-\left(2 x^{2}-4 x+7\right) ?$$

$$

\begin{array}{l}{\text { A) } 4 x^{2}+8 x+15} \\ {\text { B) } 2 x^{2}+x+1} \\ {\text { C) } 8 x+1} \\ {\text { D) } 8 x+15}\end{array}

$$

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As part of a project for his cartography elective, Adam climbs several hills

to create a relief map for the woods surrounding his house. He records the

vertical heights of the five hills he climbed at 55 feet, 42 feet, 38 feet, 50

feet, and 48 feet. For his project, Adam must convert his measurements to

inches. If 1 foot $=12$ inches, what is the measurement, in inches, of the

tallest hill Adam will have on his map?

A) 660

B) 600

C) 576

D) 456

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In the figure above, if $y=40$ and $\overline{L N}=8,$ which of the following most

closely approximates the length of $\overline{M N}$ ?

A) 0.10

B) 9.53

C) 10.44

D) 12.45

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Mccoy Max Speed, Inc. makes custom skateboards for its customers. Two

wooden skateboards and three composite skateboards cost $\$ 650 .$ Three

wooden skateboards and one composite skateboard cost $\$ 450 .$ How much

would McCoy Max Speed charge a customer who purchases five wooden

skateboards and four composite skateboards?

A) $\$ 500$

B) $\$ 600$

C) $\$ 1,000$

D) $\$ 1,100$

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The chart below shows data about the number of employees at Cuda Cola,

a popular beverage company.

Assuming the employee total grows at the same rate each year, and male

and female percentages continue to decrease and increase by $5 \%,$

respectively, approximately how many male employees will work at Cuda

Cola in 2015$?$

A) $1,515$

B) $1,398$

C) $1,282$

D) $1,165$

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John Croxley, the mayor of Black Rock, NY, is counting the number of

restaurants that have opened in his town per month for the last seven

months. He compiles the seven numbers into Set F, which contains the elements $4,5,11,13,16,18,$ and $x .$ If both the median and average

(arithmetic mean) of Set $\mathrm{F}$ equal 11 , what must be the value of $x,$ the

unknown number of restaurants that opened in Mayor Croxley's town last

month?

A) 9

B) 10

C) 11

D) 12

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$$

\begin{array}{l}{17 s+20 t=59} \\ {30 s+40 t=110}\end{array}

$$

In the system of equations above, what is the value of tin terms of $s ?$

A) $\frac{2 s}{5}$

B) $\frac{s}{5}$

C) $\frac{5}{2 s}$

D) $\frac{5}{s}$

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Given the scatterplot graph above, ten students at Welton Academy were

polled at random about their usage of the school's new physics-centered

social media app, E = MC Shared. The app was developed to encourage

students to discuss physics curricula and concepts in ways that mirrored

social media trends in 2013 . Students were asked how many times they

logged into the app each day as well as how many posts they actually made

using the app. With the given data, what conclusions can be drawn about

this group of students?

A) The majority of students polled logged in more times per day than they

posted.

B) The majority of students polled posted more times per day than they

logged in.

C) The majority of students polled logged in and posted an equal number of

times.

D) No relationship can be drawn between logins per day and posts per day.

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Two graphs, $f(x)$ and $h(x),$ are shown above. If $f(x)=3 x+4$ and $f(x)$ and

$h(x)$ are perpendicular, which of the following could be the equation of $h(x)$

$?$

$$

\begin{array}{l}{\text { A) } h(x)=\frac{1}{3} x+9} \\ {\text { B) } h(x)=\frac{1}{3} x+9} \\ {\text { C) } h(x)=3 x+9} \\ {\text { D) } h(x)=-3 x+9}\end{array}

$$

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The number of eggs that Farmer Jones has in his chicken coop will grow exponentially as Farmer Jones buys more chickens to increase production.

The number of eggs Farmer Jones has in the coop can be modeled by the

equation $y=3 x$ beginning on Day $1,$ where $x$ is given by $x=1,$ and $y$ is the

number of eggs currently in the coop. If the coop can support only $4,00$

eggs, and Farmer Jones empties the coop every every day, on which day will the

chickens produce too many eggs for the coop to support?

A) Day 6

B) Day 7

C) Day 8

D) Day 9

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If $a=\frac{4 a^{2}}{16}$ and $a$ is a nonzero integer, which of the following is equivalent

to $a ?$

$$

\begin{array}{l}{\text { A) } 4 a} \\ {\text { B) } 4 \sqrt{a}} \\ {\text { C) } \sqrt{2 a}} \\ {\text { D) } 2 \sqrt{a}}\end{array}

$$

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Three different chefs work together to prepare meals for 280 dinner guests.

Each works at a different speed, and their combined output throughout the

night is modeled by the equation $8 x+4 x+2 x=280 .$ If $x$ is a positive

integer, which of the following could 8$x$ represent in the equation?

A) The total meal output by the slowest chef, who made 40 meals.

B) The total meal output by the fastest chef, who made 160 meals.

C) The total meal output by the fastest chef, who made 80 meals.

D) The difference between the output between the slowest and fastest chef,

which would be 120 meals.

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The graph, $y=f(x),$ shown above models the performance of a certain crop,

where $x$ is the nutrients subtracted or added to the soil and $y$ is the gain or

loss of pieces of fruit added to the total harvest. A more powerful fertilizer

that is used causes the graph $y=f(x)$ to be reflected over the line $y=x$ .

Which of the following best describes the behavior of the crop with the

new fertilizer?

A) For every three nutrients added to the soil, the crop loses two additional

fruits for the total harvest.

B) For every two nutrients added to the soil, the crop loses two additional

fruits for the total harvest.

C) For every three nutrients added to the soil, the crop adds two additional

fruits to the total harvest.

D) For every two nutrients added to the soil, the crop adds three additional

fruits to the total harvest.

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George and Joe both interview the same 20 fellow students regarding their

interest in their school's new Model UN Club. George asked the students to

respond with Interested, Sort of Interested, and Not Interested. Joe asked

the students to rate their interest on a scale of 1 to $5 .$ The results of the

polls are below.

George's Poll

$$

\begin{array}{|l|l|}\hline \text { Response } & {\text { Number of Students }} \\ \hline \text { Interested } & {8} \\ \hline \text { Sort of Interested } & {5} \\ \hline \text { Not Interested } & {7} \\ \hline\end{array}

$$

Joe's Poll

$$

\begin{array}{|l|l|}\hline \text { Rating } & {\text { Number of Students }} \\ \hline 1 & {5} \\ \hline 2 & {4} \\ \hline 3 & {3} \\ \hline 4 & {4} \\ \hline 5 & {4} \\ \hline\end{array}

$$

After reviewing the data, the Model UN advisors determine that Joe

neglected to include whether a 1 or 5 was the best rating in his report.

What additional piece of information would most help the advisor

determine whether a 1 or 5 was the best rating?

A) Requesting that George redo his poll with the same rating system as

Joe's poll

B) Requesting that Joe redo his poll with the same rating system as

George's poll

C) Polling all of the students who said "Interested" in George's Poll and

asking them to choose between "Extremely Interested" and "Very Interested"

D) Polling all of the students who gave a $"_{1} "$ rating in Joe's poll and ask

them if they are interested in Model UN

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Each winter, Captain Dan's Ski Lodge rents both pairs of skis and

snowboards to its guests for a flat daily rete per pair of skis and a flat daily

rate per snowboard. Five pairs of skis and two snowboards will cost a

family $\$ 370$ . Three pairs of skis and four snowboards will cost a family

$\$ 390 .$ During a particularly slow season, Captain Dan announces a 10$\%$

discount on all skis and snowboards. What would be the cost of renting

two pairs of skis and two snowboards if they were rented during this

discount period?

A) $\$ 99$

B) $\$ 110$

C) $\$ 198$

D) $\$ 220$

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If $8 x+8 y=18$ and $x^{2}-y^{2}=-\frac{3}{8},$ what is the value of $2 x-2 y ?$

A) $-\frac{1}{3}$

B) $-\frac{1}{6}$

C) $\frac{1}{3}$

D) $\frac{1}{6}$

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Shaun is developing a weight loss regimen, which includes both a workout

plan and a calorie-restriction plan. Shaun wants to work out for no less

than 30 minutes and no more than 60 minutes a day and consume no less

Shaun is developing a weight loss regimen, which includes both a workout

plan and a calorie-restriction plan. Shaun wants to work out for no less

than 30 minutes and no more than 60 minutes a day and consume no less

than $2,000$ and no more than $2,500$ calories. If each minute, $m,$ of his

workout time buns 50 calories, which of the following inequalities

represents the number of minutes, $m$ , that shaun can work out each day to

burn off as many calories as he consumes?

$

\begin{array}{l}{\text { A) } 30 \leq m \leq 60} \\ {\text { B) } 30 \leq m \leq 50} \\ {\text { C) } 40 \leq m \leq 50} \\ {\text { D) } 40 \leq m \leq 50}\end{array}

$

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