SAT P6 - Prac

Question 1 of 154 | Advanced Math · Level 1

Which expression is equivalent to $(3x^2 - 4x - 3) + (2x^2 + 2x - 7)$?

$5x^2 - 2x + 3$

$5x^2 + 2x - 3$

$-x^2 - 2x - 11$

$-x^2 + 2x - 11$

Question 2 of 154 | Algebra · Level 1

The graph shows the positions of Paul and Mark during a race. Paul and Mark each ran at a constant rate, and Mark was given a head start to shorten the distance he needed to run. Paul finished the race in $6$ seconds, and Mark finished the race in $10$ seconds. According to the graph, Mark was given a head start of how many yards?

$3$

$12$

$18$

$24$

Question 3 of 154 | Algebra · Level 1

Snow fell and then stopped for a time. When the snow began to fall again, it fell at a faster rate than it had initially. Assuming that none of the snow melted during the time indicated, which of the following graphs could model the total accumulation of snow versus time?

Graph A (accumulation versus time)

Graph B (accumulation versus time)

Graph C (accumulation versus time)

Graph D (accumulation versus time)

Question 4 of 154 | Algebra · Level 1

A website-hosting service charges businesses a onetime setup fee of \$350 plus $d$ dollars for each month. If a business owner paid \$1,010 for the first $12$ months, including the setup fee, what is the value of $d$?

$25$

$35$

$45$

$55$

Question 5 of 154 | Algebra · Level 1

$6x - 9y > 12$ Which of the following inequalities is equivalent to the inequality above?

$x - y > 2$

$2x - 3y > 4$

$3x - 2y > 4$

$3y - 2x > 2$

Question 6 of 154 | Ratios, Rates and Percentages · Level 2

The table summarizes 1,200 responses to a survey question, "Where Do People Get Most of Their Medical Information?": Doctor 63%, Internet 13%, Magazines/brochures 9%, Pharmacy 6%, Television 2%, Other/none of the above 7%. Based on the table, how many of those surveyed get most of their medical information from either a doctor or the Internet?

$865$

$887$

$912$

$926$

Question 7 of 154 | Statistics · Level 2

The members of a city council wanted to assess the opinions of all city residents about converting an open field into a dog park. The council surveyed a sample of $500$ city residents who own dogs. The survey showed that the majority of those sampled were in favor of the dog park. Which of the following is true about the city council's survey?

It shows that the majority of city residents are in favor of the dog park.

The survey sample should have included more residents who are dog owners.

The survey sample should have consisted entirely of residents who do not own dogs.

The survey sample is biased because it is not representative of all city residents.

Question 8 of 154 | Probability · Level 2

The table shows the flavors of ice cream and the toppings chosen by the people at a party. For vanilla ice cream: $8$ chose hot fudge and $5$ chose caramel. For chocolate ice cream: $6$ chose hot fudge and $6$ chose caramel. Each person chose one flavor of ice cream and one topping. Of the people who chose vanilla ice cream, what fraction chose hot fudge as a topping?

$\dfrac{8}{25}$

$\dfrac{5}{13}$

$\dfrac{13}{25}$

$\dfrac{8}{13}$

Question 9 of 154 | Ratios, Rates and Percentages · Level 2

The total area of a coastal city is $92.1$ square miles, of which $11.3$ square miles is water. If the city had a population of 621,000 people in the year 2010, which of the following is closest to the population density, in people per square mile of land area, of the city at that time?

6,740

7,690

55,000

76,000

Question 10 of 154 | Algebra · Level 2

Between 1497 and 1500, Amerigo Vespucci embarked on two voyages to the New World. According to Vespucci's letters, the first voyage lasted $43$ days longer than the second voyage, and the two voyages combined lasted a total of 1,003 days. How many days did the second voyage last?

$460$

$480$

$520$

$540$

Question 11 of 154 | Algebra · Level 2

$7x + 3y = 8$, $6x - 3y = 5$ For the solution $(x, y)$ to the system of equations above, what is the value of $x - y$?

$-\dfrac{4}{3}$

$\dfrac{2}{3}$

Question 12 of 154 | Statistics · Level 2

Questions 12-14 refer to the following information. In 1919, H. S. Reed and R. H. Holland published a paper on the growth of sunflowers. A table and graph showed the height $h$, in centimeters, of a sunflower $t$ days after the sunflower begins to grow. The recorded heights were: day $0$, $0.00$ cm; day $7$, $17.93$ cm; day $14$, $36.36$ cm; day $21$, $67.76$ cm; day $28$, $98.10$ cm; day $35$, $131.00$ cm; day $42$, $169.50$ cm; day $49$, $205.50$ cm; day $56$, $228.30$ cm; day $63$, $247.10$ cm; day $70$, $250.50$ cm; day $77$, $253.80$ cm; day $84$, $254.50$ cm. Over which of the following time periods is the average growth rate of the sunflower least?

Day $0$ to Day $21$

Day $21$ to Day $42$

Day $42$ to Day $63$

Day $63$ to Day $84$

Question 13 of 154 | Algebra · Level 3

The function $h$, defined by $h(t) = at + b$, where $a$ and $b$ are constants, models the height, in centimeters, of the sunflower after $t$ days of growth during a time period in which the growth is approximately linear. What does $a$ represent?

The predicted number of centimeters the sunflower grows each day during the period

The predicted height, in centimeters, of the sunflower at the beginning of the period

The predicted height, in centimeters, of the sunflower at the end of the period

The predicted total increase in the height of the sunflower, in centimeters, during the period

Question 14 of 154 | Algebra · Level 3

The growth rate of the sunflower from day $14$ to day $35$ is nearly constant. On this interval, which of the following equations best models the height $h$, in centimeters, of the sunflower $t$ days after it begins to grow?

$h = 2.1t - 15$

$h = 4.5t - 27$

$h = 6.8t - 12$

$h = 13.2t - 18$

Question 15 of 154 | Algebra · Level 3

The table gives values relating $y$ to $x$: when $x = 1$, $y = \dfrac{11}{4}$; when $x = 2$, $y = \dfrac{25}{4}$; when $x = 3$, $y = \dfrac{39}{4}$; when $x = 4$, $y = \dfrac{53}{4}$; when $x = 5$, $y = \dfrac{67}{4}$. Which of the following equations relates $y$ to $x$ for the values in the table above?

$y = \dfrac{1}{2} \cdot \left(\dfrac{5}{2}\right)^x$

$y = \dfrac{2}{3} \cdot 4^x$

$y = \dfrac{3}{4} x + 2$

$y = \dfrac{7}{2} x - \dfrac{3}{4}$

Question 16 of 154 | Trigonometry · Level 3

Right triangles $ABC$ and $DEF$ are shown, where angle $A = 32^{\circ}$ and angle $D = 58^{\circ}$. Which of the following is equal to the ratio $\dfrac{B C}{A B}$?

$\dfrac{D E}{D F}$

$\dfrac{D F}{D E}$

$\dfrac{D F}{E F}$

$\dfrac{E F}{D E}$

Question 17 of 154 | Algebra · Level 3

Questions 17-19 refer to the following information. When designing a stairway, an architect can use the riser-tread formula $2h + d = 25$, where $h$ is the riser height, in inches, and $d$ is the tread depth, in inches. For any given stairway, the riser heights are the same and the tread depths are the same for all steps in that stairway. The number of steps in a stairway is the number of its risers. The total rise of a stairway is the sum of the riser heights. Which of the following expresses the riser height in terms of the tread depth?

$h = \dfrac{1}{2}(25 + d)$

$h = \dfrac{1}{2}(25 - d)$

$h = -\dfrac{1}{2}(25 + d)$

$h = -\dfrac{1}{2}(25 - d)$

Question 18 of 154 | Algebra · Level 3

Some building codes require that, for indoor stairways, the tread depth must be at least $9$ inches and the riser height must be at least $5$ inches. According to the riser-tread formula, which of the following inequalities represents the set of all possible values for the riser height that meets this code requirement?

$0 \leq h \leq 5$

$h \geq 5$

$5 \leq h \leq 8$

$8 \leq h \leq 16$

Question 19 of 154 | Algebra · Level 3

An architect wants to use the riser-tread formula to design a stairway with a total rise of $9$ feet, a riser height between $7$ and $8$ inches, and an odd number of steps. With the architect's constraints, which of the following must be the tread depth, in inches, of the stairway? ($1$ foot $= 12$ inches)

$7.2$

$9.5$

$10.6$

$15$

Question 20 of 154 | Advanced Math · Level 3

What is the sum of the solutions to $(x - 6)(x + 0.7) = 0$?

$-6.7$

$-5.3$

$5.3$

$6.7$

Question 21 of 154 | Statistics · Level 3

A study was done on the weights of different types of fish in a pond. A random sample of fish were caught and marked in order to ensure that none were weighed more than once. The sample contained $150$ largemouth bass, of which $30%$ weighed more than $2$ pounds. Which of the following conclusions is best supported by the sample data?

The majority of all fish in the pond weigh less than $2$ pounds.

The average weight of all fish in the pond is approximately $2$ pounds.

Approximately $30%$ of all fish in the pond weigh more than $2$ pounds.

Approximately $30%$ of all largemouth bass in the pond weigh more than $2$ pounds.

Question 22 of 154 | Statistics · Level 3

In 2008, there were $21$ states with $10$ or more electoral votes. The frequency distribution of the number of states by electoral votes was: $10$ votes, frequency $4$; $11$ votes, frequency $4$; $12$ votes, frequency $1$; $13$ votes, frequency $1$; $15$ votes, frequency $3$; $17$ votes, frequency $1$; $20$ votes, frequency $1$; $21$ votes, frequency $2$; $27$ votes, frequency $1$; $31$ votes, frequency $1$; $34$ votes, frequency $1$; $55$ votes, frequency $1$. Based on the table, what was the median number of electoral votes for the $21$ states?

$13$

$15$

$17$

$20$

Question 23 of 154 | Statistics · Level 3

As part of an experiment, a ball was dropped and allowed to bounce repeatedly off the ground until it came to rest. A graph represents the relationship between the time elapsed after the ball was dropped and the height of the ball above the ground. After it was dropped, how many times was the ball at a height of $2$ feet?

One

Two

Three

Four

Question 24 of 154 | Ratios, Rates and Percentages · Level 3

A customer's monthly water bill was \$75.74. Due to a rate increase, her monthly bill is now \$79.86. To the nearest tenth of a percent, by what percent did the amount of the customer's water bill increase?

$4.1%$

$5.1%$

$5.2%$

$5.4%$

Question 25 of 154 | Algebra · Level 3

Some values of the linear function $f$ are shown in the table above, where $x = 0, 2, 6$ correspond to $f(x) = -2, 4, 16$, respectively. What is the value of $f(3)$?

$6$

$7$

$8$

$9$

Question 26 of 154 | Ratios, Rates and Percentages · Level 3

A gear ratio $r:s$ is the ratio of the number of teeth of two connected gears. The ratio of the number of revolutions per minute (rpm) of two gear wheels is $s:r$. In the diagram, Gear A is turned by a motor. The turning of Gear A causes Gears B and C to turn as well. Gear A has $20$ teeth, Gear B has $60$ teeth, and Gear C has $10$ teeth. If Gear A is rotated by the motor at a rate of $100$ rpm, what is the number of revolutions per minute for Gear C?

$50$

$110$

$200$

1,000

Question 27 of 154 | Geometry · Level 4

In the $x y$-plane, the graph of $x^2 - 6x + y^2 + 2y = 45$ is a circle. What is the radius of the circle?

$5$

$6.5$

$\sqrt{40}$

$\sqrt{50}$

Question 28 of 154 | Algebra · Level 4

Two different points on a number line are both $3$ units from the point with coordinate $-4$. The solution to which of the following equations gives the coordinates of both points?

$|x + 4| = 3$

$|x - 4| = 3$

$|x + 3| = 4$

$|x - 3| = 4$

Question 29 of 154 | Ratios, Rates and Percentages · Level 4

A motor powers a model car so that after starting from rest, the car travels $s$ inches in $t$ seconds, where $s = 16t$. Which of the following gives the average speed of the car, in inches per second, over the first $t$ seconds after it starts?

$\dfrac{t}{4}$

$\dfrac{t}{16}$

Question 30 of 154 | Statistics · Level 4

The scatterplot shows the amount of electric energy generated, in millions of megawatt-hours, by nuclear sources over a 10-year period. Of the following equations, which best models the data in the scatterplot?

$y = 1.674x^2 + 19.76x - 745.73$

$y = -1.674x^2 - 19.76x - 745.73$

$y = 1.674x^2 + 19.76x + 745.73$

$y = -1.674x^2 + 19.76x + 745.73$

Question 31 of 154 | Advanced Math · Level 4

Student-produced response directions

If you find more than one correct answer, enter only one answer.
You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
Don't enter symbols such as a percent sign, comma, or dollar sign.

Examples

Answer	Acceptable entry
3.5	`3.5` · `3.50` · `7/2`
2/3	`2/3` · `.6666` · `.6667` · `0.666` · `0.667`
-1/3	`-1/3` · `-.3333` · `-0.333`

A group of friends decided to divide the \$800 cost of a trip equally among themselves. When two of the friends decided not to go on the trip, those remaining still divided the \$800 cost equally, but each friend's share of the cost increased by \$20. How many friends were in the group originally?

Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 32 of 154 | Algebra · Level 4

Student-produced response directions

If you find more than one correct answer, enter only one answer.
You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
Don't enter symbols such as a percent sign, comma, or dollar sign.

Examples

Answer	Acceptable entry
3.5	`3.5` · `3.50` · `7/2`
2/3	`2/3` · `.6666` · `.6667` · `0.666` · `0.667`
-1/3	`-1/3` · `-.3333` · `-0.333`

$2(5x - 20) - 15 - 8x = 7$ What value of $x$ satisfies the equation above?

Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 33 of 154 | Geometry · Level 4

Student-produced response directions

If you find more than one correct answer, enter only one answer.
You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
Don't enter symbols such as a percent sign, comma, or dollar sign.

Examples

Answer	Acceptable entry
3.5	`3.5` · `3.50` · `7/2`
2/3	`2/3` · `.6666` · `.6667` · `0.666` · `0.667`
-1/3	`-1/3` · `-.3333` · `-0.333`

A laboratory supply company produces graduated cylinders, each with an internal radius of $2$ inches and an internal height between $7.75$ inches and $8$ inches. What is one possible volume, rounded to the nearest cubic inch, of a graduated cylinder produced by this company?

Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 34 of 154 | Advanced Math · Level 5

Student-produced response directions

If you find more than one correct answer, enter only one answer.
You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
Don't enter symbols such as a percent sign, comma, or dollar sign.

Examples

Answer	Acceptable entry
3.5	`3.5` · `3.50` · `7/2`
2/3	`2/3` · `.6666` · `.6667` · `0.666` · `0.667`
-1/3	`-1/3` · `-.3333` · `-0.333`

In the $x y$-plane, the graph of $y = 3x^2 - 14x$ intersects the graph of $y = x$ at the points $(0, 0)$ and $(a, a)$. What is the value of $a$?

Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 35 of 154 | Algebra · Level 5

Student-produced response directions

If you find more than one correct answer, enter only one answer.
You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
Don't enter symbols such as a percent sign, comma, or dollar sign.

Examples

Answer	Acceptable entry
3.5	`3.5` · `3.50` · `7/2`
2/3	`2/3` · `.6666` · `.6667` · `0.666` · `0.667`
-1/3	`-1/3` · `-.3333` · `-0.333`

The line with the equation $\dfrac{4}{5} x + \dfrac{1}{3} y = 1$ is graphed in the xy-plane. What is the x-coordinate of the x-intercept of the line?

Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 36 of 154 | Statistics · Level 5

Student-produced response directions

If you find more than one correct answer, enter only one answer.
You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
Don't enter symbols such as a percent sign, comma, or dollar sign.

Examples

Answer	Acceptable entry
3.5	`3.5` · `3.50` · `7/2`
2/3	`2/3` · `.6666` · `.6667` · `0.666` · `0.667`
-1/3	`-1/3` · `-.3333` · `-0.333`

Andrew and Maria each collected six rocks, and the masses of the rocks, in kilograms, are shown in the table. Andrew: $2.4$, $2.5$, $3.6$, $3.1$, $2.5$, $2.7$. Maria: $x$, $3.1$, $2.7$, $2.9$, $3.3$, $2.8$. The mean of the masses of the rocks Maria collected is $0.1$ kilogram greater than the mean of the masses of the rocks Andrew collected. What is the value of $x$?

Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 37 of 154 | Advanced Math · Level 5

Student-produced response directions

If you find more than one correct answer, enter only one answer.
You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
Don't enter symbols such as a percent sign, comma, or dollar sign.

Examples

Answer	Acceptable entry
3.5	`3.5` · `3.50` · `7/2`
2/3	`2/3` · `.6666` · `.6667` · `0.666` · `0.667`
-1/3	`-1/3` · `-.3333` · `-0.333`

Jeremy deposited $x$ dollars in his investment account on January 1, 2001. The amount of money in the account doubled each year until Jeremy had $480$ dollars in his investment account on January 1, 2005. What is the value of $x$?

Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 38 of 154 | Ratios, Rates and Percentages · Level 5

Student-produced response directions

If you find more than one correct answer, enter only one answer.
You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
Don't enter symbols such as a percent sign, comma, or dollar sign.

Examples

Answer	Acceptable entry
3.5	`3.5` · `3.50` · `7/2`
2/3	`2/3` · `.6666` · `.6667` · `0.666` · `0.667`
-1/3	`-1/3` · `-.3333` · `-0.333`

A school district is forming a committee to discuss plans for the construction of a new high school. Of those invited to join the committee, $15%$ are parents of students, $45%$ are teachers from the current high school, $25%$ are school and district administrators, and the remaining $6$ individuals are students. How many more teachers were invited to join the committee than school and district administrators?

Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 39 of 154 | Algebra · Level 1

Salim wants to purchase tickets from a vendor to watch a tennis match. The vendor charges a one-time service fee for processing the purchase of the tickets. The equation $T = 15 n + 12$ represents the total amount $T$, in dollars, Salim will pay for $n$ tickets. What does $12$ represent in the equation?

The price of one ticket, in dollars

The amount of the service fee, in dollars

The total amount, in dollars, Salim will pay for one ticket

The total amount, in dollars, Salim will pay for any number of tickets

Question 40 of 154 | Algebra · Level 1

A gardener buys two kinds of fertilizer. Fertilizer A contains 60% filler materials by weight and Fertilizer B contains 40% filler materials by weight. Together, the fertilizers bought by the gardener contain a total of 240 pounds of filler materials. Which equation models this relationship, where $x$ is the number of pounds of Fertilizer A and $y$ is the number of pounds of Fertilizer B?

$0.4 x + 0.6 y = 240$

$0.6 x + 0.4 y = 240$

$40 x + 60 y = 240$

$60 x + 40 y = 240$

Question 41 of 154 | Advanced Math · Level 1

What is the sum of the complex numbers $(2 + 3 i)$ and $(4 + 8 i)$, where $i = \sqrt{-1}$?

$17$

$17 i$

$6 + 11 i$

$8 + 24 i$

Question 42 of 154 | Advanced Math · Level 2

$4 x^2 - 9 = (p x + t)(p x - t)$ In the equation above, $p$ and $t$ are constants. Which of the following could be the value of $p$?

$2$

$3$

$4$

$9$

Question 43 of 154 | Algebra · Level 2

Which of the following is the graph of the equation $y = 2 x - 5$ in the $x y$-plane?

Graph A

Graph B

Graph C

Graph D

Question 44 of 154 | Algebra · Level 2

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

$21$

$15$

$12$

$10$

Question 45 of 154 | Algebra · Level 2

A bricklayer uses the formula $n = 7 A h$ to estimate the number of bricks, $n$, needed to build a wall that is $A$ feet long and $h$ feet high. Which of the following correctly expresses $A$ in terms of $n$ and $h$?

$A = \dfrac{n h}{7}$

$A = \dfrac{h}{7 n}$

$A = \dfrac{n}{7 h}$

$A = \dfrac{n}{7} + h$

Question 46 of 154 | Advanced Math · Level 3

The table above shows some values of the functions $w$ and $t$. For which value of $x$ is $w(x) + t(x) = x$?

$1$

$2$

$3$

$4$

Question 47 of 154 | Advanced Math · Level 3

If $\sqrt{x} + \sqrt{9} = \sqrt{64}$, what is the value of $x$?

$\sqrt{5}$

$5$

$25$

$55$

Question 48 of 154 | Algebra · Level 3

Jaime is preparing for a bicycle race. His goal is to bicycle an average of at least 280 miles per week for 4 weeks. He bicycled 240 miles the first week, 310 miles the second week, and 320 miles the third week. Which inequality can be used to represent the number of miles, $x$, Jaime could bicycle on the 4th week to meet his goal?

$\dfrac{240 + 310 + 320}{3} + x \geq 280$

$\dfrac{240 + 310 + 320 + x}{4} \geq 280$

$\dfrac{240}{4} + \dfrac{310}{4} + \dfrac{320}{4} + x \geq 280$

$240 + 310 + 320 + x \geq 4(280)$

Question 49 of 154 | Advanced Math · Level 3

The vertex of the parabola in the $x y$-plane above is $(0, c)$. Which of the following is true about the parabola with the equation $y = a(x - b)^2 + c$?

The vertex is $(b, c)$ and the graph opens upward.

The vertex is $(b, c)$ and the graph opens downward.

The vertex is $(-b, c)$ and the graph opens upward.

The vertex is $(-b, c)$ and the graph opens downward.

Question 50 of 154 | Advanced Math · Level 3

Which of the following is equivalent to $\dfrac{4 x^2 + 6 x}{4 x + 2}$?

$x$

$x + 4$

$x - \dfrac{2}{4 x + 2}$

$x + 1 - \dfrac{2}{4 x + 2}$

Question 51 of 154 | Advanced Math · Level 3

$x^2 - 4 x = \dfrac{t}{2}$ In the equation above, $t$ is a constant. If the equation has no real solutions, which of the following could be the value of $t$?

$-3$

$-1$

$1$

$3$

Question 52 of 154 | Algebra · Level 4

A laundry service is buying detergent and fabric softener from its supplier. The supplier will deliver no more than 300 pounds in a shipment. Each container of detergent weighs 7.35 pounds, and each container of fabric softener weighs 6.2 pounds. The service wants to buy at least twice as many containers of detergent as containers of fabric softener. Let $d$ represent the number of containers of detergent, and let $s$ represent the number of containers of fabric softener, where $d$ and $s$ are nonnegative integers. Which of the following systems of inequalities best represents this situation?

$7.35 d + 6.2 s \leq 300$, $d \geq 2 s$

$7.35 d + 6.2 s \leq 300$, $2 d \geq s$

$14.7 d + 6.2 s \leq 300$, $d \geq 2 s$

$14.7 d + 6.2 s \leq 300$, $2 d \geq s$

Question 53 of 154 | Advanced Math · Level 4

Which of the following is equivalent to $\left(\dfrac{a}{b} + 2\right)^2$?

$\dfrac{a^2}{b^2} + 2$

$\dfrac{a^2}{b^2} + 4$

$\dfrac{a^2}{b^2} + \dfrac{2a}{b} + 2$

$\dfrac{a^2}{b^2} + \dfrac{4a}{b} + 4$

Question 54 of 154 | Advanced Math · Level 4

Student-produced response directions

If you find more than one correct answer, enter only one answer.
You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
Don't enter symbols such as a percent sign, comma, or dollar sign.

Examples

Answer	Acceptable entry
3.5	`3.5` · `3.50` · `7/2`
2/3	`2/3` · `.6666` · `.6667` · `0.666` · `0.667`
-1/3	`-1/3` · `-.3333` · `-0.333`

If $a^{\dfrac{4}{b}} = 16$ for positive integers $a$ and $b$, what is one possible value of $b$?

Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 55 of 154 | Advanced Math · Level 4

Student-produced response directions

If you find more than one correct answer, enter only one answer.
You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
Don't enter symbols such as a percent sign, comma, or dollar sign.

Examples

Answer	Acceptable entry
3.5	`3.5` · `3.50` · `7/2`
2/3	`2/3` · `.6666` · `.6667` · `0.666` · `0.667`
-1/3	`-1/3` · `-.3333` · `-0.333`

What value of $t$ is the solution of the equation $frac(2,3) t = frac(5,2)$?

Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 56 of 154 | Geometry · Level 5

Student-produced response directions

If you find more than one correct answer, enter only one answer.
You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
Don't enter symbols such as a percent sign, comma, or dollar sign.

Examples

Answer	Acceptable entry
3.5	`3.5` · `3.50` · `7/2`
2/3	`2/3` · `.6666` · `.6667` · `0.666` · `0.667`
-1/3	`-1/3` · `-.3333` · `-0.333`

In the figure above, $\overline{B D}$ is parallel to $\overline{A E}$. What is the length of $\overline{C E}$?

Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 57 of 154 | Ratios, Rates and Percentages · Level 5

Student-produced response directions

If you find more than one correct answer, enter only one answer.
You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
Don't enter symbols such as a percent sign, comma, or dollar sign.

Examples

Answer	Acceptable entry
3.5	`3.5` · `3.50` · `7/2`
2/3	`2/3` · `.6666` · `.6667` · `0.666` · `0.667`
-1/3	`-1/3` · `-.3333` · `-0.333`

How many liters of a $25%$ saline solution must be added to $3$ liters of a $10%$ saline solution to obtain a $15%$ saline solution?

Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 58 of 154 | Geometry · Level 5

Student-produced response directions

If you find more than one correct answer, enter only one answer.
You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
Don't enter symbols such as a percent sign, comma, or dollar sign.

Examples

Answer	Acceptable entry
3.5	`3.5` · `3.50` · `7/2`
2/3	`2/3` · `.6666` · `.6667` · `0.666` · `0.667`
-1/3	`-1/3` · `-.3333` · `-0.333`

Points $A$ and $B$ lie on a circle with radius $1$, and arc $A B$ has length $\dfrac{\pi}{3}$. What fraction of the circumference of the circle is the length of arc $A B$?

Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 59 of 154 | Craft and Structure · Level 1

This passage is adapted from Daniyal Mueenuddin, "Nawabdin Electrician." The first paragraph reads: "Another man might have thrown up his hands—but not Nawabdin. His twelve daughters acted as a spur to his genius, and he looked with satisfaction in the mirror each morning at the face of a warrior going out to do battle. Nawab of course knew that he must proliferate his sources of revenue—the salary he received from K. K. Harouni for tending the tube wells would not even begin to suffice. He set up a little one-room flour mill, run off a condemned electric motor—condemned by him. He tried his hand at fish-farming in a little pond at the edge of his master's fields. He bought broken radios, fixed them, and resold them. He did not demur even when asked to fix watches, though that enterprise did spectacularly badly, and in fact earned him more kicks than kudos, for no watch he took apart ever kept time again."

The main purpose of the first paragraph is to

characterize Nawab as a loving father.

outline the schedule of a typical day in Nawab's life.

describe Nawab's various moneymaking ventures.

contrast Nawab's and Harouni's lifestyles.

Question 60 of 154 | Craft and Structure · Level 1

In context, the narrator notes that Nawab "did not demur even when asked to fix watches, though that enterprise did spectacularly badly, and in fact earned him more kicks than kudos, for no watch he took apart ever kept time again."

As used in line 16, "kicks" most nearly means

thrills.

complaints.

jolts.

interests.

Question 61 of 154 | Craft and Structure · Level 1

The passage describes Nawab at work: "Grizzled, his peculiar aviator glasses bent and smudged, Nawab tended the household machinery, the air conditioners, water heaters, refrigerators, and water pumps, like an engineer tending the boilers on a foundering steamer in an Atlantic gale."

The author uses the image of an engineer at sea (lines 23-28) most likely to

suggest that Nawab often dreams of having a more exciting profession.

highlight the fact that Nawab's primary job is to tend to Harouni's tube wells.

reinforce the idea that Nawab has had many different occupations in his life.

emphasize how demanding Nawab's work for Harouni is.

Question 62 of 154 | Information and Ideas · Level 1

Which choice best supports the claim that Nawab performs his duties for Harouni well?

Lines 28-32 (“By his . . . Lahore”)

Lines 40-42 (“The landowner . . . ahead”)

Lines 46-49 (“In your . . . should”)

Line 58 (“I’ve . . . years”)

Question 63 of 154 | Craft and Structure · Level 1

In the context of the conversation between Nawab and Harouni, Nawab’s comments in lines 43-52 (“Sir . . . beg you”) mainly serve to

flatter Harouni by mentioning how vast his lands are.

boast to Harouni about how competent and reliable Nawab is.

emphasize Nawab’s diligence and loyalty to Harouni.

notify Harouni that Nawab intends to quit his job tending the tube wells.

Question 64 of 154 | Craft and Structure · Level 1

Nawab uses the word “bridegroom” (line 62) mainly to emphasize that he’s no longer

in love.

naive.

busy.

young.

Question 65 of 154 | Information and Ideas · Level 1

It can reasonably be inferred from the passage that Harouni provides Nawab with a motorcycle mainly because

Harouni appreciates that Nawab has to work hard to support his family.

Harouni sees benefit to himself from giving Nawab a motorcycle.

Nawab’s speech is the most eloquent that Harouni has ever heard.

Nawab threatens to quit if Harouni doesn’t agree to give him a motorcycle.

Question 66 of 154 | Information and Ideas · Level 2

Which choice provides the best evidence for the answer to the previous question?

Lines 65-66 (“And . . . crux”)

Lines 66-68 (“He didn’t . . . him”)

Lines 75-76 (“He even . . . gasoline”)

Lines 80-81 (“He could . . . business”)

Question 67 of 154 | Information and Ideas · Level 2

The passage states that the farm managers react to Nawab receiving a motorcycle with

disgust.

happiness.

envy.

indifference.

Question 68 of 154 | Information and Ideas · Level 2

According to the passage, what does Nawab consider to be the best result of getting the motorcycle?

People start calling him “Uncle.”

He’s able to expand his business.

He’s able to educate his daughters.

He can spend more time with his wife.

Question 69 of 154 | Craft and Structure · Level 2

The main purpose of the passage is to

analyze the technological developments that have affected the production, circulation, and reception of news stories.

discuss changes in the perception of the news media as a source of public knowledge.

show how journalists' frames of value influence the production of news stories.

challenge the conventional view that news is a form of public knowledge.

Question 70 of 154 | Information and Ideas · Level 2

According to the passage, which expectation do traditional authorities now face?

They should be uninfluenced by commercial considerations.

They should be committed to bringing about positive social change.

They should be respectful of the difference between public and private knowledge.

They should be transparent about their beliefs and assumptions.

Question 71 of 154 | Information and Ideas · Level 2

Which choice provides the best evidence for the answer to the previous question?

Lines 2-5 ("Unlike . . . people")

Lines 20-21 ("The production . . . process")

Lines 33-38 ("As part . . . decisions")

Lines 43-46 ("Editors . . . viewers")

Question 72 of 154 | Craft and Structure · Level 2

As used in line 24, "common" most nearly means

numerous.

familiar.

widespread.

ordinary.

Question 73 of 154 | Craft and Structure · Level 2

The authors most likely include the extended quotations in lines 43-53 to

present contradictory examples.

cite representative opinions.

criticize typical viewpoints.

suggest viable alternatives.

Question 74 of 154 | Information and Ideas · Level 2

The authors indicate that the public is coming to believe that journalists' reports should avoid

personal judgments about the events reported.

more information than is absolutely necessary.

quotations from authorities on the subject matter.

details that the subjects of news reports wish to keep private.

Question 75 of 154 | Information and Ideas · Level 2

Which choice provides the best evidence for the answer to the previous question?

Lines 12-16 ("Thus . . . them")

Lines 30-33 ("They . . . others")

Lines 40-42 ("Not surprisingly . . . authority")

Lines 70-77 ("There . . . own")

Question 76 of 154 | Craft and Structure · Level 3

As used in line 74, "raw" most nearly means

unfiltered.

exposed.

harsh.

inexperienced.

Question 77 of 154 | Information and Ideas · Level 3

Based on the table, in which year were people the most trusting of the news media?

1985

1992

2003

2011

Question 78 of 154 | Information and Ideas · Level 3

Which statement is best supported by information presented in the table?

Between 1985 and 2011, the proportion of inaccurate news stories rose dramatically.

Between 1992 and 2003, the proportion of people who believed that news organizations were biased almost doubled.

Between 2003 and 2007, people's views of the accuracy, independence, and fairness of news organizations changed very little.

Between 2007 and 2011, people's perception that news organizations are accurate increased, but people's perception that news organizations are fair diminished.

Question 79 of 154 | Information and Ideas · Level 3

The 2011 data in the table best serve as evidence of

"political disengagement by the majority" (line 51).

"the professional claims of experts" (lines 65-66).

"scepticism towards the epistemological authority of expert elites" (lines 69-70).

"the supremacy of the clickstream" (line 81).

Question 80 of 154 | Craft and Structure · Level 3

The primary purpose of the passage (about a study of Texas gourd plants by Theis and Adler, and why these plants never evolved to produce a stronger scent) is to

discuss the assumptions and reasoning behind a theory.

describe the aim, method, and results of an experiment.

present and analyze conflicting data about a phenomenon.

show the innovative nature of a procedure used in a study.

Question 81 of 154 | Information and Ideas · Level 3

As presented in the passage, Theis and Adler's research primarily relied on which type of evidence?

Direct observation

Historical data

Expert testimony

Random sampling

Question 82 of 154 | Information and Ideas · Level 3

Which statement about striped cucumber beetles can most reasonably be inferred from the passage?

They feed primarily on Texas gourd plants.

They are less attracted to dimethoxybenzene than honey bees are.

They experience only minor negative effects as a result of carrying bacterial wilt disease.

They are attracted to the same compound in Texas gourd scent that squash bees are.

Question 83 of 154 | Information and Ideas · Level 3

The author indicates that it seems initially plausible that Texas gourd plants could attract more pollinators if they

did not have aromatic flowers.

targeted insects other than bees.

increased their floral scent.

emitted more varied fragrant compounds.

Question 84 of 154 | Craft and Structure · Level 3

As used in line 38, "treated" most nearly means

altered.

restored.

provided.

preserved.

Question 85 of 154 | Information and Ideas · Level 3

What did Theis and Adler do as part of their study that most directly allowed Theis to reason that "bees were repelled not by the fragrance itself" (lines 70-71)?

They observed the behavior of bees and beetles both before and after the flowers opened in the morning.

They increased the presence of 1,4-dimethoxybenzene only during the August flowering season.

They compared the gourds that developed from naturally pollinated flowers to the gourds that developed from hand-pollinated flowers.

They gave bees a chance to choose between beetle-free enhanced flowers and beetle-free normal flowers.

Question 86 of 154 | Information and Ideas · Level 3

Which choice provides the best evidence for the answer to the previous question?

Lines 45-50 ("So every . . . beetles")

Lines 51-53 ("Finally . . . beetles")

Lines 59-61 ("We would . . . open")

Lines 76-79 ("Gourds . . . flowers")

Question 87 of 154 | Craft and Structure · Level 3

The primary function of the seventh and eighth paragraphs (lines 65-84) is to

summarize Theis and Adler's findings.

describe Theis and Adler's hypotheses.

illustrate Theis and Adler's methods.

explain Theis and Adler's reasoning.

Question 88 of 154 | Craft and Structure · Level 3

In describing squash bees as "indifferent" (line 68), the author most likely means that they

could not distinguish enhanced flowers from normal flowers.

visited enhanced flowers and normal flowers at an equal rate.

largely preferred normal flowers to enhanced flowers.

were as likely to visit beetle-infested enhanced flowers as to visit beetle-free enhanced flowers.

Question 89 of 154 | Information and Ideas · Level 3

According to the passage, Theis and Adler's research offers an answer to which of the following questions?

How can Texas gourd plants increase the number of visits they receive from pollinators?

Why is there an upper limit on the intensity of the aroma emitted by Texas gourd plants?

Why does hand pollination rescue the fruit weight of beetle-infested Texas gourd plants?

Why do Texas gourd plants stop producing fragrance attractive to pollinators when beetles are present?

Question 90 of 154 | Information and Ideas · Level 3

Which choice provides the best evidence for the answer to the previous question?

Lines 17-20 ("In one . . . beetles")

Lines 22-25 ("The aroma . . . 1,4-dimethoxybenzene")

Lines 79-84 ("Hand . . . development")

Lines 85-86 ("The new . . . scent")

Question 91 of 154 | Information and Ideas · Level 3

In Passage 1, Lincoln contends that breaking the law has which consequence?

It slows the repeal of bad laws.

It undermines and repudiates the nation's values.

It leads slowly but inexorably to rule by the mob.

It creates divisions between social groups.

Question 92 of 154 | Information and Ideas · Level 3

Which choice provides the best evidence for the answer to the previous question?

Lines 9-12 ("let every man . . . liberty")

Lines 20-23 ("and let . . . altars")

Lines 33-35 ("If such . . . borne with")

Lines 36-37 ("There . . . law")

Question 93 of 154 | Craft and Structure · Level 3

As used in line 24, "urge" most nearly means

hasten.

stimulate.

require.

advocate.

Question 94 of 154 | Craft and Structure · Level 4

The sentence in lines 24-28 ("When . . . made") primarily serves which function in Passage 1?

It raises and refutes a potential counterargument to Lincoln's argument.

It identifies and concedes a crucial shortcoming of Lincoln's argument.

It acknowledges and substantiates a central assumption of Lincoln's argument.

It anticipates and corrects a possible misinterpretation of Lincoln's argument.

Question 95 of 154 | Craft and Structure · Level 4

As used in line 32, "observed" most nearly means

followed.

scrutinized.

contemplated.

noticed.

Question 96 of 154 | Information and Ideas · Level 4

In Passage 2, Thoreau indicates that some unjust aspects of government are

superficial and can be fixed easily.

subtle and must be studied carefully.

self-correcting and may be beneficial.

inevitable and should be endured.

Question 97 of 154 | Information and Ideas · Level 4

Which choice provides the best evidence for the answer to the previous question?

Lines 45-48 ("Unjust . . . once")

Lines 51-52 ("They . . . evil")

Lines 58-59 ("If the injustice . . . go")

Lines 75-78 ("A man . . . wrong")

Question 98 of 154 | Craft and Structure · Level 4

The primary purpose of each passage is to

make an argument about the difference between legal duties and moral imperatives.

discuss how laws ought to be enacted and changed in a democracy.

advance a view regarding whether individuals should follow all of the country's laws.

articulate standards by which laws can be evaluated as just or unjust.

Question 99 of 154 | Craft and Structure · Level 4

Based on the passages, Lincoln would most likely describe the behavior that Thoreau recommends in lines 64-66 ("if it . . . law") as

an excusable reaction to an intolerable situation.

a rejection of the country's proper forms of remedy.

an honorable response to an unjust law.

a misapplication of a core principle of the Constitution.

Question 100 of 154 | Craft and Structure · Level 4

Based on the passages, one commonality in the stances Lincoln and Thoreau take toward abolitionism is that

both authors see the cause as warranting drastic action.

both authors view the cause as central to their argument.

neither author expects the cause to win widespread acceptance.

neither author embraces the cause as his own.

Question 101 of 154 | Craft and Structure · Level 4

The passage is written from the point of view of a

a consumer evaluating a variety of options.

a scientist comparing competing research methods.

a journalist enumerating changes in a field.

a hobbyist explaining the capabilities of new technology.

Question 102 of 154 | Craft and Structure · Level 4

As used in line 4, “poor” most nearly means

weak.

humble.

pitiable.

obsolete.

Question 103 of 154 | Information and Ideas · Level 4

It can most reasonably be inferred from the passage that many people in the solar panel industry believe that

consumers don’t understand how solar panels work.

two-sided cells have weaknesses that have not yet been discovered.

the cost of solar panels is too high and their power output too low.

Willow Glass is too inefficient to be marketable.

Question 104 of 154 | Information and Ideas · Level 5

Which choice provides the best evidence for the answer to the previous question?

Lines 1-3 (“Solar . . . demand”)

Lines 10-15 (“A few . . . a watt”)

Lines 22-26 (“If so . . . plants”)

Lines 27-30 (“All . . . reductions”)

Question 105 of 154 | Information and Ideas · Level 5

According to the passage, two-sided solar panels will likely raise efficiency by

requiring little energy to operate.

absorbing reflected light.

being reasonably inexpensive to manufacture.

preventing light from reaching the ground.

Question 106 of 154 | Information and Ideas · Level 5

Which choice provides the best evidence for the answer to the previous question?

Lines 58-61 (“The basic . . . plant”)

Lines 61-62 (“That . . . output”)

Lines 63-64 (“This . . . reflective”)

Lines 64-66 (“Where . . . 400 watts”)

Question 107 of 154 | Craft and Structure · Level 5

As used in line 69, “betting on” most nearly means

dabbling in.

gambling with.

switching from.

optimistic about.

Question 108 of 154 | Craft and Structure · Level 5

The last sentence of the passage mainly serves to

express concern about the limitations of a material.

identify a hurdle that must be overcome.

make a prediction about the effective use of certain devices.

introduce a potential new area of study.

Question 109 of 154 | Information and Ideas · Level 5

According to figure 1, in 2017, the cost of which of the following fuels is projected to be closest to the 2009 US average electricity cost shown in figure 2?

Natural gas

Wind (onshore)

Conventional coal

Advanced nuclear

Question 110 of 154 | Information and Ideas · Level 5

According to figure 2, in what year is the average cost of solar photovoltaic power projected to be equal to the 2009 US average electricity cost?

2018

2020

2025

2027

Question 111 of 154 | Standard English Conventions · Level 1

In the winter of 1968, scientists David Schindler and Gregg Brunskill poured nitrates and phosphates into Lake 1 227, this is one of the 58 freshwater bodies that compose Canada's remotely located Experimental Lakes Area. (Question 1 refers to the underlined portion: "227, this is one".)

NO CHANGE

227. Which is one

227. One

227, one

Question 112 of 154 | Standard English Conventions · Level 1

While deliberately adding chemical compounds to a lake may seem 2 destructive and irresponsible, this method of experimenting is sometimes the most effective way to influence policy and save the environment from even more damaging pollution. (Question 2 refers to the underlined portion: "destructive and irresponsible, this method".)

NO CHANGE

destructive, and irresponsible this method

destructive and, irresponsible, this method

destructive and irresponsible this method,

Question 113 of 154 | Standard English Conventions · Level 1

In addition to being unsightly and odorous, these algal blooms cause oxygen depletion. Oxygen depletion kills fish and other wildlife in the lakes. Which choice most effectively combines the underlined sentences?

In addition to being unsightly and odorous, these algal blooms cause oxygen depletion: the result being that it kills fish and other wildlife in the lakes.

In addition to being unsightly and odorous, these algal blooms cause oxygen depletion; the algal blooms cause oxygen depletion that kills fish and other wildlife in the lakes.

In addition to being unsightly and odorous, these algal blooms cause oxygen depletion, and oxygen depletion caused by the algal blooms kills fish and other wildlife in the lakes.

In addition to being unsightly and odorous, these algal blooms cause oxygen depletion, which kills fish and other wildlife in the lakes.

Question 114 of 154 | Standard English Conventions · Level 1

Just weeks after the scientists added the nitrates and phosphates, the water in Lake 227 turned bright 4 green. It was thick with: the same type of algal blooms that had plagued Lake Erie. (Question 4 refers to the underlined portion: "green. It was thick with:".)

NO CHANGE

green: it was thick with

green. It was thick with—

green, it was thick with

Question 115 of 154 | Expression of Ideas · Level 1

5 One mission of the Experimental Lakes Area is to conduct research that helps people better understand threats to the environment. The scientists divided the lake in half by placing a nylon barrier through the narrowest part of its figure-eight shape. Which choice provides the best transition from the previous paragraph to this one?

NO CHANGE

The Experimental Lakes Area is located in a sparsely inhabited region that experiences few effects of human and industrial activity.

To isolate the cause of the algae, Schindler and Brunskill performed another experiment, this time using Lake 226.

The process by which water becomes enriched by dissolved nutrients, such as phosphates, is called eutrophication.

Question 116 of 154 | Standard English Conventions · Level 1

In one half of Lake 226, they added phosphates, nitrates, and a source of carbon; in the other, they added just nitrates 6 and a source of carbon was added. (Question 6 refers to the underlined portion: "and a source of carbon was added".)

NO CHANGE

and a source of carbon.

plus also a source of carbon.

but also adding a source of carbon.

Question 117 of 154 | Standard English Conventions · Level 2

The experiment confirmed their suspicions when the half of the lake containing the phosphates 7 was teeming with blue-green algae. (Question 7 refers to the underlined portion: "was teeming".)

NO CHANGE

were teeming

are teeming

teems

Question 118 of 154 | Craft and Structure · Level 2

Schindler and Brunskill's findings were 8 shown off by the journal Science. (Question 8 refers to the underlined portion: "shown off by".)

NO CHANGE

put in the spotlight of

published in

put into

Question 119 of 154 | Expression of Ideas · Level 2

The research demonstrated a clear correlation between introducing phosphates and the growth of blue-green algae. 9 For example, legislators in Canada passed laws banning phosphates in laundry detergents, which had been entering the water supply. (Question 9 refers to the underlined transition word: "For example,".)

NO CHANGE

Similarly,

However,

Subsequently,

Question 120 of 154 | Expression of Ideas · Level 2

Legislators in Canada passed laws banning phosphates in laundry detergents, which had been entering the water supply. 10 At this point, the writer wants to add a second policy outcome of the research described. Which choice best accomplishes this goal?

Lake 226 continued to develop blooms of blue-green algae for eight consecutive years after the experiment took place.

In the United States, many individual states have also adopted legislation to eliminate, or at least reduce, phosphorous content in laundry detergents.

In 1974, Schindler initiated a study of the effects of acid rain, using Lake 223 to examine how sulfuric acid altered aquatic ecosystems.

Aerial photos of the lakes taken before and during algal blooms helped convey the effects of phosphates in water to the public.

Question 121 of 154 | Expression of Ideas · Level 2

Experiments like these can help people understand the unintended consequences of using certain household products. [11] Of course, regulating the use of certain chemical compounds can be a controversial issue. Selectively establishing remote study locations, such as the Experimental Lakes Area, can provide scientists with opportunities to safely conduct controlled research. This research can generate evidence solid enough to persuade policy makers to take action in favor of protecting the larger environment.

Which choice most effectively anticipates and addresses a relevant counterargument to the argument in favor of the types of experiments described in the passage?

NO CHANGE

Many companies now offer phosphate-free alternatives for household cleaning products.

Obviously, scientists should not be allowed to randomly perform experiments on just any body of water.

Phosphates are sometimes used in agricultural fertilizers, in addition to being used in cleaning products.

Question 122 of 154 | Standard English Conventions · Level 2

Questions 12-22 are based on the following passage. A Little to the Left, but Not Too Much! Italy's Tower of Pisa has been leaning southward since the initial [12] stages of it's construction over 800 years ago.

NO CHANGE

stage's of its'

stage's of it's

stages of its

Question 123 of 154 | Expression of Ideas · Level 2

[13] Indeed, if the tower's construction had not taken two centuries and involved significant breaks due to war and civil unrest, which allowed the ground beneath the tower to settle, the tower would likely have collapsed before it was completed.

NO CHANGE

Therefore,

Nevertheless,

However,

Question 124 of 154 | Standard English Conventions · Level 2

Luckily, the tower survived, and its tilt has made it an Italian [14] icon, it attracts visitors from all over who flock to Pisa to see one of the greatest architectural weirdnesses in the world.

NO CHANGE

icon, attracting

icon, its attracting

icon; attracting

Question 125 of 154 | Craft and Structure · Level 3

Luckily, the tower survived, and its tilt has made it an Italian icon, it attracts visitors from all over who flock to Pisa to see one of the greatest architectural [15] weirdnesses in the world.

NO CHANGE

deviations

oddities

abnormalities

Question 126 of 154 | Expression of Ideas · Level 3

[16] By the late twentieth century, the angle of the tower's tilt had reached an astonishing 5.5 degrees; in 1990, Italy's government closed the tower to visitors and appointed a committee to find a way to save it. At this point, the writer is considering adding the following sentence. Unfortunately, the tower's tilt has steadily increased over the centuries, placing the structure in danger of collapse.

Should the writer make this addition here?

Yes, because it provides an important restatement of the main claim in the previous sentence.

Yes, because it establishes an important shift in emphasis in the paragraph's discussion about the tower's tilt.

No, because it interrupts the paragraph's discussion with irrelevant information.

No, because it repeats information that is already presented in the first paragraph.

Question 127 of 154 | Standard English Conventions · Level 3

By the late twentieth century, the angle of the tower's tilt had reached an astonishing 5.5 degrees; in [17] 1990, Italy's government closed the tower to visitors and appointed a committee to find a way to save it.

NO CHANGE

1990, Italy's government, closed

1990 Italy's government, closed,

1990: Italy's government closed

Question 128 of 154 | Expression of Ideas · Level 3

The committee was charged with saving the tower without ruining its aesthetic, [18] which no one had yet managed to achieve. The committee's first attempt to reduce the angle of the tower's tilt—placing 600 tons of iron ingots (molded pieces of metal) on the tower's north side to create a counterweight—was derided because the bulky weights ruined the tower's appearance. The attempt at a less visible solution—sinking anchors into the ground below the tower—almost caused the tower to fall.

Which choice best supports the main point of the paragraph?

NO CHANGE

although not everyone on the committee agreed completely about what that aesthetic was.

which meant somehow preserving the tower's tilt while preventing that tilt from increasing and toppling the tower.

which included the pristine white marble finish that has come to be widely associated with the tower's beauty.

Question 129 of 154 | Standard English Conventions · Level 3

Choose the best version of the underlined portion.

NO CHANGE

Burland is

his being

DELETE the underlined portion.

Question 130 of 154 | Standard English Conventions · Level 3

Choose the best version of the underlined portion.

NO CHANGE

—taking several years to complete—

that took him several years to complete

DELETE the underlined portion.

Question 131 of 154 | Standard English Conventions · Level 3

Choose the best version of the underlined portion.

NO CHANGE

advocated to use

advocated the using of

advocating to use

Question 132 of 154 | Expression of Ideas · Level 3

To make this paragraph most logical, sentence 5 should be

placed after sentence 1.

placed after sentence 2.

placed after sentence 3.

DELETED from the paragraph.

Question 133 of 154 | Expression of Ideas · Level 3

Passage: "The Physician Assistant Will See You Now." [23] The term "paramedics" refers to health care workers who provide routine and clinical services. While the pressures of an aging population, insurance reforms, and health epidemics have increased demand for care, the supply of physicians is not expected to keep pace. — Which choice is the best introduction to the paragraph?

NO CHANGE

For many Americans, finding a physician is likely to become a growing challenge.

Getting treatment for an illness usually requires seeing either a general practitioner or a specialist.

Worldwide the costs of health care are increasing at an alarming rate.

Question 134 of 154 | Craft and Structure · Level 3

While the pressures of an aging population, insurance reforms, and health epidemics have increased demand for care, the supply of physicians is not expected to [24] keep pace.

NO CHANGE

maintain the tempo.

get in line.

move along.

Question 135 of 154 | Craft and Structure · Level 3

Because a traditionalist response to the crisis—[25] amping up medical-college enrollments and expanding physician training programs—is too slow and costly to address the near-term problem, alternatives are being explored.

NO CHANGE

bolstering

arousing

revving up

Question 136 of 154 | Expression of Ideas · Level 3

At this point, the writer is considering adding the following sentence. "Several factors argue in favor of such an expanded role." Should the writer make this addition here?

Yes, because it introduces a counterargument for balance.

Yes, because it frames the points that the paragraph will examine.

No, because it does not specify the education required to be a PA.

No, because it presents information that is only tangential to the main argument.

Question 137 of 154 | Standard English Conventions · Level 3

By virtue of [27] there medical training, PAs can perform many of the jobs traditionally done by doctors.

NO CHANGE

they're

their

his or her

Question 138 of 154 | Standard English Conventions · Level 3

...including treating chronic and acute conditions, performing minor [28] surgeries: and prescribing some medications.

NO CHANGE

surgeries; and

surgeries, and,

surgeries, and

Question 139 of 154 | Standard English Conventions · Level 3

However, although well [29] compensated earning in 2012 a median annual salary of \$90,930, PAs cost health care providers less than do the physicians who might otherwise undertake these tasks.

NO CHANGE

compensated (earning in 2012 a median annual salary of \$90,930),

compensated, earning in 2012 a median annual salary of \$90,930

compensated: earning in 2012 a median annual salary of \$90,930,

Question 140 of 154 | Standard English Conventions · Level 3

Moreover, the training period for PAs is markedly shorter than [30] those for physicians—two to three years versus the seven to eleven required for physicians.

NO CHANGE

that compared with

that for

DELETE the underlined portion.

Question 141 of 154 | Expression of Ideas · Level 4

A recent review of the scholarly literature by Texas researchers found that PAs lend cost-efficient, widely appreciated services in underserved areas. [31] In addition, rural-based PAs often provide a broader spectrum of such services than do their urban and suburban counterparts.

NO CHANGE

Thus,

Despite this,

On the other hand,

Question 142 of 154 | Expression of Ideas · Level 4

At this point, the writer is considering adding the following sentence. "In fact, according to the data presented in the table, physician assistants will likely outnumber physicians by 2025." Should the writer make this addition here?

Yes, because it provides additional support for the main point of the paragraph.

Yes, because it addresses a possible counterargument to the writer's main claim.

No, because it is not an accurate interpretation of the data.

No, because it introduces irrelevant information that interrupts the flow of the passage.

Question 143 of 154 | Standard English Conventions · Level 4

Both by merit and from necessity, PAs are likely to greet more [33] patience than ever before.

NO CHANGE

patience, than

patients then

patients than

Question 144 of 154 | Expression of Ideas · Level 4

Popular film franchises are often “rebooted” in an effort to make their characters and stories fresh and relevant for new audiences. Superhero comic books are periodically reworked to try to increase their appeal to contemporary readers.

Which choice most effectively combines the underlined sentences?

In an effort to make their characters and stories fresh and relevant for new audiences, popular film franchises, which are often “rebooted,” are similar to superhero comic books, which are periodically reworked to try to increase their appeal to contemporary readers.

Just as popular film franchises are often “rebooted” in an effort to make their characters and stories fresh and relevant for new audiences, superhero comic books are periodically reworked to try to increase their appeal to contemporary readers.

Superhero comic books are periodically reworked to try to increase their appeal to contemporary readers, while popular film franchises are often “rebooted” in an effort to make their characters and stories fresh and relevant for new audiences.

Superhero comic books are much like popular film franchises in being often “rebooted” in an effort to make their characters and stories fresh and relevant for new audiences and periodically reworked to try to increase their appeal to contemporary readers.

Question 145 of 154 | Craft and Structure · Level 4

This practice is almost as elderly as the medium itself and has in large part established the “ages” that compose comic book history.

NO CHANGE

old

mature

geriatric

Question 146 of 154 | Standard English Conventions · Level 4

The shift from the Golden to the Silver Age is probably the most successful example: of publishers responding to changing times and tastes.

NO CHANGE

example, of publishers

example of publishers,

example of publishers

Question 147 of 154 | Expression of Ideas · Level 4

He could “hurdle skyscrapers” and “leap an eighth of a mile”; “run faster than a streamline train”; withstand anything less than a “bursting shell”; and lift a car over his head.

Which choice is most consistent with the previous examples in the sentence?

NO CHANGE

hold down a regular job as a newspaper reporter.

wear a bright blue costume with a flowing red cape.

live in the big city of Metropolis instead of the small town where he grew up.

Question 148 of 154 | Craft and Structure · Level 4

By contrast, the second (“Silver”) age of comics was marked by characters that, though somewhat simplistic by today’s standards, were provided with origin stories often involving scientific experiments gone wrong.

Which choice most effectively sets up the main idea of the following two sentences?

NO CHANGE

reflected the increasing conservatism of the United States in the 1950s.

engaged in bizarre adventures frequently inspired by science fiction.

were more “realistic” than their Golden Age counterparts.

Question 149 of 154 | Standard English Conventions · Level 5

In addition to super villains, the new, soon-to-be-iconic characters of the age: Spider-Man, the Fantastic Four, and the Hulk among them—had to cope with mundane, real-life problems.

NO CHANGE

age;

age,

age—

Question 150 of 154 | Expression of Ideas · Level 5

Although sales remained strong for Golden Age stalwarts Superman and, to a lesser extent, Batman, subsequent decades would show the enduring appeal of these characters.

The writer wants a conclusion to the sentence and paragraph that logically completes the discussion of the Silver Age and provides an effective transition into the next paragraph. Which choice best accomplishes these goals?

NO CHANGE

the distinctions between later stages of comic book history are less well defined than the one between the Golden and Silver Ages.

readers increasingly gravitated to the upstarts as the 1960s and the Silver Age drew to a close.

these characters themselves underwent significant changes over the course of the Silver Age.

Question 151 of 154 | Standard English Conventions · Level 5

NO CHANGE

would have yielded

were yielding

will yield

Question 152 of 154 | Standard English Conventions · Level 5

NO CHANGE

Comic’s superhero’s

Comics superhero’s

Comics’ superhero

Question 153 of 154 | Expression of Ideas · Level 5

NO CHANGE

however,

nevertheless,

yet,

Question 154 of 154 | Standard English Conventions · Level 5

NO CHANGE

these

that

DELETE the underlined portion.

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