Ask your homework questions to teachers and professors, meet other students, and be entered to win $600 or an Xbox Series X 🎉Join our Discord!

Cracking The SAT

The Princeton Revew

Chapter 4

Practice Test 4

Educators


Math Test - Calculator - Problem 1

If $3 y=y+2,$ what is the value of 2$y ?$
A) 1
B) 2
C) 3
D) 4

Check back soon!

Math Test - Calculator - Problem 2

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

Check back soon!

Math Test - Calculator - Problem 3

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.

Check back soon!

Math Test - Calculator - Problem 4

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 $5 : 9 .$

Check back soon!

Math Test - Calculator - Problem 5

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

Check back soon!

Math Test - Calculator - Problem 6

Which of the following is equivalent to the expression $$x^{4}-x^{3}-x^{2} ?$$
$$
\begin{array}{l}{\text { A) } x\left(x^{2}-x-1\right)} \\ {\text { B) } x\left(x-x^{2}-x^{3}\right)} \\ {\text { C) } x\left(x^{3}-x^{2}\right)} \\ {\text { D) } x^{2}\left(x^{2}-x-1\right)}\end{array}
$$

Check back soon!

Math Test - Calculator - Problem 7

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

Check back soon!

Math Test - Calculator - Problem 8

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.

Check back soon!

Math Test - Calculator - Problem 9

What is the value of $$\left(2 x^{2}+4 x+8\right)-\left(2 x^{2}-4 x+7\right) ?$$
$$
\begin{array}{l}{\text { A) } 4 x^{2}+8 x+15} \\ {\text { B) } 2 x^{2}+x+1} \\ {\text { C) } 8 x+1} \\ {\text { D) } 8 x+15}\end{array}
$$

Check back soon!

Math Test - Calculator - Problem 10

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

Check back soon!

Math Test - Calculator - Problem 11

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

Check back soon!

Math Test - Calculator - Problem 12

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) $\$ 1,100$

Check back soon!

Math Test - Calculator - Problem 13

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) $1,165$

Check back soon!

Math Test - Calculator - Problem 14

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

Check back soon!

Math Test - Calculator - Problem 15

$$
\begin{array}{l}{17 s+20 t=59} \\ {30 s+40 t=110}\end{array}
$$
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) $\frac{5}{s}$

Check back soon!

Math Test - Calculator - Problem 16

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.

Check back soon!

Math Test - Calculator - Problem 17

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

Check back soon!

Math Test - Calculator - Problem 18

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

Check back soon!

Math Test - Calculator - Problem 19

If $a=\frac{4 a^{2}}{16}$ and $a$ is a nonzero integer, which of the following is equivalent
to $a ?$
$$
\begin{array}{l}{\text { A) } 4 a} \\ {\text { B) } 4 \sqrt{a}} \\ {\text { C) } \sqrt{2 a}} \\ {\text { D) } 2 \sqrt{a}}\end{array}
$$

Check back soon!

Math Test - Calculator - Problem 20

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.

Check back soon!

Math Test - Calculator - Problem 21

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.

Check back soon!

Math Test - Calculator - Problem 22

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

Check back soon!

Math Test - Calculator - Problem 23

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) $\$ 220$

Check back soon!

Math Test - Calculator - Problem 24

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) $\frac{1}{6}$

Check back soon!

Math Test - Calculator - Problem 25

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}
$

Check back soon!
1 2 3 4 5 ... 7