SAT P1 - Prac

Question 1 of 154 | Algebra · Level 1

John runs at different speeds as part of his training program. The graph shows his target heart rate at different times during his workout. On which interval is the target heart rate strictly increasing then strictly decreasing?

Between $0$ and $30$ minutes

Between $40$ and $60$ minutes

Between $50$ and $65$ minutes

Between $70$ and $90$ minutes

Question 2 of 154 | Ratios, Rates and Percentages · Level 1

If $y = k x$, where $k$ is a constant, and $y = 24$ when $x = 6$, what is the value of $y$ when $x = 5$?

$6$

$15$

$20$

$23$

Question 3 of 154 | Geometry · Level 1

In the figure above, lines $\ell$ and $m$ are parallel and lines $s$ and $t$ are parallel. If the measure of $\angle 1$ is $35°$, what is the measure of $\angle 2$?

$35°$

$55°$

$70°$

$145°$

Question 4 of 154 | Algebra · Level 1

If $16 + 4x$ is $10$ more than $14$, what is the value of $8x$?

$2$

$6$

$16$

$80$

Question 5 of 154 | Statistics · Level 1

Which of the following graphs best shows a strong negative association between $d$ and $t$?

Scatterplot of $d$ versus $t$ (A)

Scatterplot of $d$ versus $t$ (B)

Scatterplot of $d$ versus $t$ (C)

Scatterplot of $d$ versus $t$ (D)

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

$1$ decagram $= 10$ grams. 1,000 milligrams $= 1$ gram. A hospital stores one type of medicine in $2$-decagram containers. Based on the information given in the box above, how many $1$-milligram doses are there in one $2$-decagram container?

$0.002$

$200$

2,000

20,000

Question 7 of 154 | Statistics · Level 2

The number of rooftops with solar panel installations in $5$ cities is shown in the graph above. If the total number of installations is 27,500, what is an appropriate label for the vertical axis of the graph?

Number of installations (in tens)

Number of installations (in hundreds)

Number of installations (in thousands)

Number of installations (in tens of thousands)

Question 8 of 154 | Advanced Math · Level 2

For what value of $n$ is $n^{-1} + 1$ equal to $0$?

$0$

$1$

$2$

There is no such value of $n$.

Question 9 of 154 | Algebra · Level 2

The speed of a sound wave in air depends on the air temperature. The formula $a = 1,052 + 1.08 t$ shows the relationship between $a$, the speed of a sound wave, in feet per second, and $t$, the air temperature, in degrees Fahrenheit ($°F$). Which of the following expresses the air temperature in terms of the speed of a sound wave?

$t = \dfrac{a - 1,052}{1.08}$

$t = \dfrac{a + 1,052}{1.08}$

$t = 1,052 - \dfrac{a}{1.08}$

$t = \dfrac{a}{1.08} + 1,052$

Question 10 of 154 | Algebra · Level 2

The speed of a sound wave in air depends on the air temperature. The formula $a = 1,052 + 1.08 t$ shows the relationship between $a$, the speed of a sound wave, in feet per second, and $t$, the air temperature, in degrees Fahrenheit ($°F$). At which of the following air temperatures will the speed of a sound wave be closest to 1,000 feet per second?

$-46°F$

$-48°F$

$-49°F$

$-50°F$

Question 11 of 154 | Algebra · Level 2

Which of the following numbers is NOT a solution of the inequality $3x - 5 \geq 4x - 3$?

$-1$

$-2$

$-3$

$-5$

Question 12 of 154 | Statistics · Level 2

Based on the histogram above showing the number of seeds in each of $12$ apples, of the following, which is closest to the average (arithmetic mean) number of seeds per apple?

$4$

$5$

$6$

$7$

Question 13 of 154 | Statistics · Level 3

A group of tenth-grade students responded to a survey that asked which math course they were currently enrolled in. The survey data were broken down as shown in the table above. Which of the following categories accounts for approximately $19$ percent of all the survey respondents?

Females taking Geometry

Females taking Algebra II

Males taking Geometry

Males taking Algebra I

Question 14 of 154 | Statistics · Level 3

Lengths of Fish (in inches)
8	9	9	9	10	10	11
11	12	12	12	12	13	13
13	14	14	15	15	16	24

The table above lists the lengths, to the nearest inch, of a random sample of $21$ brown bullhead fish. The outlier measurement of $24$ inches is an error. Of the mean, median, and range of the values listed, which will change the most if the $24$-inch measurement is removed from the data?

Mean

Median

Range

They will all change by the same amount.

Question 15 of 154 | Algebra · Level 3

Questions 15 and 16 refer to the following information. The graph displays the total cost $C$, in dollars, of renting a boat for $h$ hours. What does the $C$-intercept represent in the graph?

The initial cost of renting the boat

The total number of boats rented

The total number of hours the boat is rented

The increase in cost to rent the boat for each additional hour

Question 16 of 154 | Algebra · Level 3

Questions 15 and 16 refer to the following information. The graph displays the total cost $C$, in dollars, of renting a boat for $h$ hours. Which of the following represents the relationship between $h$ and $C$?

$C = 5h$

$C = \dfrac{3}{4} h + 5$

$C = 3h + 5$

$h = 3C$

Question 17 of 154 | Advanced Math · Level 3

The complete graph of the function $f$ is shown in the $x y$-plane above. For what value of $x$ is the value of $f(x)$ at its minimum?

$-5$

$-3$

$-2$

$3$

Question 18 of 154 | Algebra · Level 3

In the $x y$-plane, if $(0, 0)$ is a solution to the system of inequalities $y < -x + a$ and $y > x + b$ above, which of the following relationships between $a$ and $b$ must be true?

$a > b$

$b > a$

$|a| > |b|$

$a = -b$

Question 19 of 154 | Algebra · Level 3

A food truck sells salads for $\$6.50$ each and drinks for $\$2.00$ each. The food truck's revenue from selling a total of $209$ salads and drinks in one day was $\$836.50$. How many salads were sold that day?

$77$

$93$

$99$

$105$

Question 20 of 154 | Ratios, Rates and Percentages · Level 3

Alma bought a laptop computer at a store that gave a $20$ percent discount off its original price. The total amount she paid to the cashier was $p$ dollars, including an $8$ percent sales tax on the discounted price. Which of the following represents the original price of the computer in terms of $p$?

$0.88 p$

$\dfrac{p}{0.88}$

$(0.8)(1.08) p$

$\dfrac{p}{(0.8)(1.08)}$

Question 21 of 154 | Probability · Level 3

The data in the table above were produced by a sleep researcher studying the number of dreams people recall when asked to record their dreams for one week. For Group X (100 people with early bedtimes) and Group Y (100 people with later bedtimes): those recalling no dreams were $15$ in Group X and $21$ in Group Y (total $36$); those recalling $1$ to $4$ dreams were $28$ in Group X and $11$ in Group Y (total $39$); those recalling $5$ or more dreams were $57$ in Group X and $68$ in Group Y (total $125$). If a person is chosen at random from those who recalled at least $1$ dream, what is the probability that the person belonged to Group Y?

$\dfrac{68}{100}$

$\dfrac{79}{100}$

$\dfrac{79}{164}$

$\dfrac{164}{200}$

Question 22 of 154 | Ratios, Rates and Percentages · Level 3

Questions 22 and 23 refer to the following information. The table above lists the annual budget, in thousands of dollars, for each of six different state programs in Kansas from 2007 to 2010. For agriculture/natural resources the budgets were: $2007 = 373{,}904$; $2008 = 358{,}708$; $2009 = 485{,}807$; $2010 = 488{,}106$. Which of the following best approximates the average rate of change in the annual budget for agriculture/natural resources in Kansas from $2008$ to $2010$?

$\50,000,000 per year

$\65,000,000 per year

$\75,000,000 per year

$\130,000,000 per year

Question 23 of 154 | Ratios, Rates and Percentages · Level 3

Questions 22 and 23 refer to the following information. The table lists the annual budget, in thousands of dollars, for six state programs in Kansas from 2007 to 2010. Of the following, which program's ratio of its $2007$ budget to its $2010$ budget is closest to the human resources program's ratio of its $2007$ budget to its $2010$ budget?

Agriculture/natural resources

Education

Highways and transportation

Public safety

Question 24 of 154 | Geometry · Level 3

Which of the following is an equation of a circle in the $x y$-plane with center $(0, 4)$ and a radius with endpoint $\left(\dfrac{4}{3}, 5\right)$?

$x^2 + (y - 4)^2 = \dfrac{25}{9}$

$x^2 + (y + 4)^2 = \dfrac{25}{9}$

$x^2 + (y - 4)^2 = \dfrac{5}{3}$

$x^2 + (y + 4)^2 = \dfrac{3}{5}$

Question 25 of 154 | Advanced Math · Level 3

The equation $h = -4.9 t^2 + 25 t$ expresses the approximate height $h$, in meters, of a ball $t$ seconds after it is launched vertically upward from the ground with an initial velocity of $25$ meters per second. After approximately how many seconds will the ball hit the ground?

$3.5$

$4.0$

$4.5$

$5.0$

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

Katarina is a botanist studying the production of pears by two types of pear trees. She noticed that Type A trees produced $20$ percent more pears than Type B trees did. Based on Katarina's observation, if the Type A trees produced $144$ pears, how many pears did the Type B trees produce?

$115$

$120$

$124$

$173$

Question 27 of 154 | Statistics · Level 4

A square field measures $10$ meters by $10$ meters. Ten students each mark off a randomly selected region of the field; each region is square and has side lengths of $1$ meter, and no two regions overlap. The students count the earthworms contained in the soil to a depth of $5$ centimeters beneath the ground's surface in each region. The results were: Region A: $107$; Region B: $147$; Region C: $146$; Region D: $135$; Region E: $149$; Region F: $141$; Region G: $150$; Region H: $154$; Region I: $176$; Region J: $166$. Which of the following is a reasonable approximation of the number of earthworms to a depth of $5$ centimeters beneath the ground's surface in the entire field?

$150$

1,500

15,000

150,000

Question 28 of 154 | Algebra · Level 4

If the system of inequalities $y \geq 2x + 1$ and $y > \dfrac{1}{2}x - 1$ is graphed in the $x y$-plane above, which quadrant contains no solutions to the system?

Quadrant II

Quadrant III

Quadrant IV

There are solutions in all four quadrants.

Question 29 of 154 | Advanced Math · Level 4

For a polynomial $p(x)$, the value of $p(3)$ is $-2$. Which of the following must be true about $p(x)$?

$x - 5$ is a factor of $p(x)$.

$x - 2$ is a factor of $p(x)$.

$x + 2$ is a factor of $p(x)$.

The remainder when $p(x)$ is divided by $x - 3$ is $-2$.

Question 30 of 154 | Advanced Math · Level 4

The graph of $y = x^2 - 2x - 15$ is shown in the $x y$-plane above, with vertex $A$. Which of the following is an equivalent form of the equation of the graph shown, from which the coordinates of vertex $A$ can be identified as constants in the equation?

$y = (x + 3)(x - 5)$

$y = (x - 3)(x + 5)$

$y = (x - 2)^2 - 15$

$y = (x - 1)^2 - 16$

Question 31 of 154 | Ratios, Rates and Percentages · 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`

Wyatt can husk at least $12$ dozen ears of corn per hour and at most $18$ dozen ears of corn per hour. Based on this information, what is a possible amount of time, in hours, that it could take Wyatt to husk $72$ dozen ears of corn?

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`

The posted weight limit for a covered wooden bridge in Pennsylvania is $6000$ pounds. A delivery truck that is carrying $x$ identical boxes each weighing $14$ pounds will pass over the bridge. If the combined weight of the empty delivery truck and its driver is $4500$ pounds, what is the maximum possible value for $x$ that will keep the combined weight of the truck, driver, and boxes below the bridge's posted weight limit?

Answer:

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

Question 33 of 154 | Ratios, Rates and Percentages · 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`

According to the line graph above, the number of portable media players sold in $2008$ is what fraction of the number sold in $2011$?

Answer:

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

Question 34 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 local television station sells time slots for programs in $30$-minute intervals. If the station operates $24$ hours per day, every day of the week, what is the total number of $30$-minute time slots the station can sell for Tuesday and Wednesday?

Answer:

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

Question 35 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`

A dairy farmer uses a storage silo that is in the shape of the right circular cylinder above, with height $8$ yards. If the volume of the silo is $72 \pi$ cubic yards, what is the diameter of the base of the cylinder, in yards?

Answer:

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

Question 36 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`

$h(x) = \dfrac{1}{(x - 5)^2 + 4(x - 5) + 4}$ For what value of $x$ is the function $h$ above undefined?

Answer:

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

Question 37 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`

Jessica opened a bank account that earns $2$ percent interest compounded annually. Her initial deposit was $\$100$, and she uses the expression $\$100(x)^t$ to find the value of the account after $t$ years. What is the value of $x$ in the expression?

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`

Jessica's friend Tyshaun found an account that earns $2.5$ percent interest compounded annually. Tyshaun made an initial deposit of $\$100$ into this account at the same time Jessica made a deposit of $\$100$ into her account (which earns $2$ percent interest compounded annually). After $10$ years, how much more money will Tyshaun's initial deposit have earned than Jessica's initial deposit? (Round your answer to the nearest cent and ignore the dollar sign when gridding your response.)

Answer:

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

Question 39 of 154 | Algebra · Level 1

If $\dfrac{x - 1}{3} = k$ and $k = 3$, what is the value of $x$ ?

$2$

$4$

$9$

$10$

Question 40 of 154 | Advanced Math · Level 1

For $i = \sqrt{-1}$, what is the sum $(7 + 3i) + (-8 + 9i)$ ?

$-1 + 12i$

$-1 - 6i$

$15 + 12i$

$15 - 6i$

Question 41 of 154 | Algebra · Level 1

On Saturday afternoon, Armand sent $m$ text messages each hour for $5$ hours, and Tyrone sent $p$ text messages each hour for $4$ hours. Which of the following represents the total number of messages sent by Armand and Tyrone on Saturday afternoon?

$9 m p$

$20 m p$

$5m + 4p$

$4m + 5p$

Question 42 of 154 | Algebra · Level 2

Kathy is a repair technician for a phone company. Each week, she receives a batch of phones that need repairs. The number of phones that she has left to fix at the end of each day can be estimated with the equation $P = 108 - 23d$, where $P$ is the number of phones left and $d$ is the number of days she has worked that week. What is the meaning of the value $108$ in this equation?

Kathy will complete the repairs within $108$ days.

Kathy starts each week with $108$ phones to fix.

Kathy repairs phones at a rate of $108$ per hour.

Kathy repairs phones at a rate of $108$ per day.

Question 43 of 154 | Advanced Math · Level 2

$(x^2 y - 3y^2 + 5x y^2) - (-x^2 y + 3x y^2 - 3y^2)$ Which of the following is equivalent to the expression above?

$4x^2 y^2$

$8x y^2 - 6y^2$

$2x^2 y + 2x y^2$

$2x^2 y + 8x y^2 - 6y^2$

Question 44 of 154 | Algebra · Level 2

$h = 3a + 28.6$ A pediatrician uses the model above to estimate the height $h$ of a boy, in inches, in terms of the boy's age $a$, in years, between the ages of $2$ and $5$. Based on the model, what is the estimated increase, in inches, of a boy's height each year?

$3$

$5.7$

$9.5$

$14.3$

Question 45 of 154 | Advanced Math · Level 2

$m = \dfrac{P \left(\dfrac{r}{1200}\right) \left(1 + \dfrac{r}{1200}\right)^N}{\left(1 + \dfrac{r}{1200}\right)^N - 1}$ The formula above gives the monthly payment $m$ needed to pay off a loan of $P$ dollars at $r$ percent annual interest over $N$ months. Which of the following gives $P$ in terms of $m$, $r$, and $N$ ?

$P = \dfrac{m \left(\dfrac{r}{1200}\right) \left(1 + \dfrac{r}{1200}\right)^N}{\left(1 + \dfrac{r}{1200}\right)^N - 1}$

$P = \dfrac{m (\left(1 + \dfrac{r}{1200}\right)^N - 1)}{\left(\dfrac{r}{1200}\right) \left(1 + \dfrac{r}{1200}\right)^N}$

$P = 1200 \left(\dfrac{m}{r}\right)$

$P = 1200 \left(\dfrac{r}{m}\right)$

Question 46 of 154 | Algebra · Level 3

If $\dfrac{a}{b} = 2$, what is the value of $\dfrac{4b}{a}$ ?

$0$

$1$

$2$

$4$

Question 47 of 154 | Algebra · Level 3

$3x + 4y = -23$ $2y - x = -19$ What is the solution $(x, y)$ to the system of equations above?

$(-5, -2)$

$(3, -8)$

$(4, -6)$

$(9, -6)$

Question 48 of 154 | Advanced Math · Level 3

$g(x) = a x^2 + 24$ For the function $g$ defined above, $a$ is a constant and $g(4) = 8$. What is the value of $g(-4)$ ?

$8$

$0$

$-1$

$-8$

Question 49 of 154 | Algebra · Level 3

$b = 2.35 + 0.25x$ $c = 1.75 + 0.40x$ In the equations above, $b$ and $c$ represent the price per pound, in dollars, of beef and chicken, respectively, $x$ weeks after July 1 during last summer. What was the price per pound of beef when it was equal to the price per pound of chicken?

$\$2.60$

$\$2.85$

$\$2.95$

$\$3.35$

Question 50 of 154 | Algebra · Level 3

A line in the $x y$-plane passes through the origin and has a slope of $\dfrac{1}{7}$. Which of the following points lies on the line?

$(0, 7)$

$(1, 7)$

$(7, 7)$

$(14, 2)$

Question 51 of 154 | Advanced Math · Level 3

If $x > 3$, which of the following is equivalent to $\dfrac{1}{\dfrac{1}{x + 2} + \dfrac{1}{x + 3}}$ ?

$\dfrac{2x + 5}{x^2 + 5x + 6}$

$\dfrac{x^2 + 5x + 6}{2x + 5}$

$2x + 5$

$x^2 + 5x + 6$

Question 52 of 154 | Advanced Math · Level 4

If $3x - y = 12$, what is the value of $\dfrac{8^x}{2^y}$ ?

$2^{12}$

$4^4$

$8^2$

The value cannot be determined from the information given.

Question 53 of 154 | Advanced Math · Level 4

If $(a x + 2)(b x + 7) = 15 x^2 + c x + 14$ for all values of $x$, and $a + b = 8$, what are the two possible values for $c$ ?

$3$ and $5$

$6$ and $35$

$10$ and $21$

$31$ and $41$

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 $t > 0$ and $t^2 - 4 = 0$, what is the value of $t$?

Answer:

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

Question 55 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 summer camp counselor wants to find a length, $x$, in feet, across a lake as represented in the sketch above. The lengths represented by $A B$, $E B$, $B D$, and $C D$ on the sketch were determined to be $1800$ feet, $1400$ feet, $700$ feet, and $800$ feet, respectively. Segments $A C$ and $D E$ intersect at $B$, and $\angle A E B$ and $\angle C D B$ have the same measure. What is the value of $x$?

Answer:

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

Question 56 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`

According to the system of equations $x + y = -9$ and $x + 2y = -25$, what is the value of $x$?

Answer:

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

Question 57 of 154 | Trigonometry · 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 a right triangle, one angle measures $x^{\circ}$, where $\sin x^{\circ} = \dfrac{4}{5}$. What is $\cos(90^{\circ} - x^{\circ})$?

Answer:

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

Question 58 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`

If $a = 5 \sqrt{2}$ and $2 a = \sqrt{2 x}$, what is the value of $x$?

Answer:

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

Question 59 of 154 | Information and Ideas · Level 1

This passage is from Lydia Minatoya, The Strangeness of Beauty. The setting is Japan in 1920. Chie and her daughter Naomi are members of the noble House of Fuji. One winter's evening, a young dental student named Akira arrives unannounced at Chie's home and, breaking with tradition, directly asks for Naomi's hand in marriage. Chie is taken aback, while Naomi quietly declares her intention to marry him. Which choice best describes what happens in the passage?

One character argues with another character who intrudes on her home.

One character receives a surprising request from another character.

One character reminisces about choices she has made over the years.

One character criticizes another character for pursuing an unexpected course of action.

Question 60 of 154 | Craft and Structure · Level 1

Which choice best describes the developmental pattern of the passage?

A careful analysis of a traditional practice

A detailed depiction of a meaningful encounter

A definitive response to a series of questions

A cheerful recounting of an amusing anecdote

Question 61 of 154 | Craft and Structure · Level 1

As used in line 1 and line 65, "directly" most nearly means

frankly.

confidently.

without mediation.

with precision.

Question 62 of 154 | Information and Ideas · Level 1

In the passage, Akira asks for Naomi's hand without using a go-between and urges Chie not to judge his candidacy by the unseemliness of his direct proposal. Which reaction does Akira most fear from Chie?

She will consider his proposal inappropriate.

She will mistake his earnestness for immaturity.

She will consider his unscheduled visit an imposition.

She will underestimate the sincerity of his emotions.

Question 63 of 154 | Information and Ideas · Level 1

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

Line 33 (“His voice . . . refined”)

Lines 49-51 (“You . . . mind”)

Lines 63-64 (“Please . . . proposal”)

Lines 71-72 (“Eager . . . face”)

Question 64 of 154 | Information and Ideas · Level 1

In the passage, Akira addresses Chie with

affection but not genuine love.

objectivity but not complete impartiality.

amusement but not mocking disparagement.

respect but not utter deference.

Question 65 of 154 | Craft and Structure · Level 1

The main purpose of the first paragraph is to

describe a culture.

criticize a tradition.

question a suggestion.

analyze a reaction.

Question 66 of 154 | Craft and Structure · Level 2

As used in line 2, “form” most nearly means

appearance.

custom.

structure.

nature.

Question 67 of 154 | Information and Ideas · Level 2

Why does Akira say his meeting with Chie is “a matter of urgency” (line 32)?

He fears that his own parents will disapprove of Naomi.

He worries that Naomi will reject him and marry someone else.

He has been offered an attractive job in another country.

He knows that Chie is unaware of his feelings for Naomi.

Question 68 of 154 | Information and Ideas · Level 2

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

Line 39 (“I don’t . . . you”)

Lines 39-42 (“Normally . . . community”)

Lines 58-59 (“Depending . . . Japan”)

Lines 72-73 (“I see . . . you”)

Question 69 of 154 | Craft and Structure · Level 2

The authors most likely use the examples in lines 1-9 of the passage (“Every . . . showers”) to highlight the

regularity with which people shop for gifts.

recent increase in the amount of money spent on gifts.

anxiety gift shopping causes for consumers.

number of special occasions involving gift-giving.

Question 70 of 154 | Craft and Structure · Level 2

In line 10, the word “ambivalent” most nearly means

unrealistic.

conflicted.

apprehensive.

supportive.

Question 71 of 154 | Information and Ideas · Level 2

The authors indicate that people value gift-giving because they feel it

functions as a form of self-expression.

is an inexpensive way to show appreciation.

requires the gift-recipient to reciprocate.

can serve to strengthen a relationship.

Question 72 of 154 | Information and Ideas · Level 2

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

Lines 10-13 (“Many . . . peers”)

Lines 22-23 (“People . . . own”)

Lines 31-32 (“Research . . . perspectives”)

Lines 44-47 (“Although . . . unfounded”)

Question 73 of 154 | Information and Ideas · Level 2

The “social psychologists” mentioned in paragraph 2 (lines 17-34) would likely describe the “deadweight loss” phenomenon as

predictable.

questionable.

disturbing.

unprecedented.

Question 74 of 154 | Information and Ideas · Level 2

The passage indicates that the assumption made by gift-givers in lines 41-44 may be

insincere.

unreasonable.

incorrect.

substantiated.

Question 75 of 154 | Information and Ideas · Level 2

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

Lines 53-55 (“Perhaps . . . consideration”)

Lines 55-60 (“According . . . relationship”)

Lines 63-65 (“As . . . consideration”)

Lines 75-78 (“In . . . relations”)

Question 76 of 154 | Craft and Structure · Level 3

As it is used in line 54, “convey” most nearly means

transport.

counteract.

exchange.

communicate.

Question 77 of 154 | Craft and Structure · Level 3

The authors refer to work by Camerer and others (line 56) in order to

offer an explanation.

introduce an argument.

question a motive.

support a conclusion.

Question 78 of 154 | Information and Ideas · Level 3

The graph following the passage offers evidence that gift-givers base their predictions of how much a gift will be appreciated on

the appreciation level of the gift-recipients.

the monetary value of the gift.

their own desires for the gifts they purchase.

their relationship with the gift-recipients.

Question 79 of 154 | Information and Ideas · Level 3

The authors would likely attribute the differences in gift-giver and recipient mean appreciation as represented in the graph to

an inability to shift perspective.

an increasingly materialistic culture.

a growing opposition to gift-giving.

a misunderstanding of intentions.

Question 80 of 154 | Craft and Structure · Level 3

The authors use the word "backbone" in lines 3 and 39 to indicate that

only very long chains of DNA can be taken from an organism with a spinal column.

the main structure of a chain in a DNA molecule is composed of repeating units.

a chain in a DNA molecule consists entirely of phosphate groups or of sugars.

nitrogenous bases form the main structural unit of DNA.

Question 81 of 154 | Information and Ideas · Level 3

A student claims that nitrogenous bases pair randomly with one another. Which of the following statements in the passage contradicts the student's claim?

Lines 5-6 ("To each . . . types")

Lines 9-10 ("So far . . . irregular")

Lines 23-25 ("The bases . . . other")

Lines 27-29 ("One member . . . chains")

Question 82 of 154 | Information and Ideas · Level 3

In the second paragraph (lines 12-19), what do the authors claim to be a feature of biological interest?

The chemical formula of DNA

The common fiber axis

The X-ray evidence

DNA consisting of two chains

Question 83 of 154 | Craft and Structure · Level 3

The authors' main purpose of including the information about X-ray evidence and density is to

establish that DNA is the molecule that carries the genetic information.

present an alternate hypothesis about the composition of a nucleotide.

provide support for the authors' claim about the number of chains in a molecule of DNA.

confirm the relationship between the density of DNA and the known chemical formula of DNA.

Question 84 of 154 | Information and Ideas · Level 3

Based on the passage, the authors' statement "If a pair consisted of two purines, for example, there would not be room for it" (lines 29-30) implies that a pair

of purines would be larger than the space between a sugar and a phosphate group.

of purines would be larger than a pair consisting of a purine and a pyrimidine.

of pyrimidines would be larger than a pair of purines.

consisting of a purine and a pyrimidine would be larger than a pair of pyrimidines.

Question 85 of 154 | Craft and Structure · Level 3

The authors' use of the words "exact," "specific," and "complement" in lines 47-49 in the final paragraph functions mainly to

confirm that the nucleotide sequences are known for most molecules of DNA.

counter the claim that the sequences of bases along a chain can occur in any order.

support the claim that the phosphate-sugar backbone of the authors' model is completely regular.

emphasize how one chain of DNA may serve as a template to be copied during DNA replication.

Question 86 of 154 | Information and Ideas · Level 3

Based on the table and passage, which choice gives the correct percentages of the purines in yeast DNA?

$17.1%$ and $18.7%$

$17.1%$ and $32.9%$

$18.7%$ and $31.3%$

$31.3%$ and $32.9%$

Question 87 of 154 | Information and Ideas · Level 3

Do the data in the table support the authors' proposed pairing of bases in DNA?

Yes, because for each given organism, the percentage of adenine is closest to the percentage of thymine, and the percentage of guanine is closest to the percentage of cytosine.

Yes, because for each given organism, the percentage of adenine is closest to the percentage of guanine, and the percentage of cytosine is closest to the percentage of thymine.

No, because for each given organism, the percentage of adenine is closest to the percentage of thymine, and the percentage of guanine is closest to the percentage of cytosine.

No, because for each given organism, the percentage of adenine is closest to the percentage of guanine, and the percentage of cytosine is closest to the percentage of thymine.

Question 88 of 154 | Information and Ideas · Level 3

According to the table, which of the following pairs of base percentages in sea urchin DNA provides evidence in support of the answer to the previous question?

$17.3%$ and $17.7%$

$17.3%$ and $32.1%$

$17.3%$ and $32.8%$

$17.7%$ and $32.8%$

Question 89 of 154 | Information and Ideas · Level 3

Based on the table, is the percentage of adenine in each organism's DNA the same or does it vary, and which statement made by the authors is most consistent with that data?

The same; "Two of . . . pyrimidines" (lines 6-8)

The same; "The important . . . structure" (lines 25-26)

It varies; "Adenine . . . thymine" (lines 36-38)

It varies; "It follows . . . information" (lines 41-45)

Question 90 of 154 | Craft and Structure · Level 3

The main purpose of the passage is to

emphasize the value of a tradition.

stress the urgency of an issue.

highlight the severity of social divisions.

question the feasibility of an undertaking.

Question 91 of 154 | Information and Ideas · Level 3

The central claim of the passage is that

educated women face a decision about how to engage with existing institutions.

women can have positions of influence in English society only if they give up some of their traditional roles.

the male monopoly on power in English society has had grave and continuing effects.

the entry of educated women into positions of power traditionally held by men will transform those positions.

Question 92 of 154 | Craft and Structure · Level 3

Woolf uses the word “we” throughout the passage mainly to

reflect the growing friendliness among a group of people.

advance the need for candor among a group of people.

establish a sense of solidarity among a group of people.

reinforce the need for respect among a group of people.

Question 93 of 154 | Craft and Structure · Level 3

According to the passage, Woolf chooses the setting of the bridge because it

is conducive to a mood of fanciful reflection.

provides a good view of the procession of the sons of educated men.

is within sight of historic episodes to which she alludes.

is symbolic of the legacy of past and present sons of educated men.

Question 94 of 154 | Information and Ideas · Level 4

Woolf indicates that the procession she describes in the passage

has come to have more practical influence in recent years.

has become a celebrated feature of English public life.

includes all of the richest and most powerful men in England.

has become less exclusionary in its membership in recent years.

Question 95 of 154 | Information and Ideas · Level 4

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

Lines 12-17 (“There . . . money”)

Lines 17-19 (“It . . . desert”)

Lines 23-24 (“For . . . ourselves”)

Lines 30-34 (“We . . . pulpit”)

Question 96 of 154 | Reading · Level 4

Woolf characterizes the questions in lines 53-57 (“For we . . . men”) as both

controversial and threatening.

weighty and unanswerable.

momentous and pressing.

provocative and mysterious.

Question 97 of 154 | Information and Ideas · Level 4

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

Lines 46-47 (“We . . . questions”)

Lines 48-49 (“And . . . them”)

Line 57 (“The moment . . . short”)

Line 62 (“That . . . Madam”)

Question 98 of 154 | Craft and Structure · Level 4

Which choice most closely captures the meaning of the figurative “sixpence” referred to in lines 70 and 71?

Tolerance

Knowledge

Opportunity

Perspective

Question 99 of 154 | Craft and Structure · Level 4

The range of places and occasions listed in lines 72-76 (“Let us . . . funerals”) mainly serves to emphasize how

novel the challenge faced by women is.

pervasive the need for critical reflection is.

complex the political and social issues of the day are.

enjoyable the career possibilities for women are.

Question 100 of 154 | Craft and Structure · Level 4

In lines 9-17, the author of Passage 1 mentions several companies primarily to

note the technological advances that make space mining possible.

provide evidence of the growing interest in space mining.

emphasize the large profits to be made from space mining.

highlight the diverse ways to carry out space mining operations.

Question 101 of 154 | Information and Ideas · Level 4

The author of Passage 1 indicates that space mining could have which positive effect?

It could yield materials important to Earth's economy.

It could raise the value of some precious metals on Earth.

It could create unanticipated technological innovations.

It could change scientists' understanding of space resources.

Question 102 of 154 | Information and Ideas · Level 4

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

Lines 18-22 ("Within . . . lanthanum")

Lines 24-28 ("They . . . projects")

Lines 29-30 ("In this . . . commodity")

Lines 41-44 ("Companies . . . machinery")

Question 103 of 154 | Craft and Structure · Level 4

As used in line 19, "demands" most nearly means

offers.

claims.

inquiries.

desires.

Question 104 of 154 | Craft and Structure · Level 5

What function does the discussion of water in lines 35-40 serve in Passage 1?

It continues an extended comparison that begins in the previous paragraph.

It provides an unexpected answer to a question raised in the previous paragraph.

It offers hypothetical examples supporting a claim made in the previous paragraph.

It examines possible outcomes of a proposal put forth in the previous paragraph.

Question 105 of 154 | Information and Ideas · Level 5

The central claim of Passage 2 is that space mining has positive potential but

it will end up encouraging humanity's reckless treatment of the environment.

its effects should be thoughtfully considered before it becomes a reality.

such potential may not include replenishing key resources that are disappearing on Earth.

experts disagree about the commercial viability of the discoveries it could yield.

Question 106 of 154 | Craft and Structure · Level 5

As used in line 68, "hold" most nearly means

maintain.

grip.

restrain.

withstand.

Question 107 of 154 | Craft and Structure · Level 5

Which statement best describes the relationship between the passages?

Passage 2 refutes the central claim advanced in Passage 1.

Passage 2 illustrates the phenomenon described in more general terms in Passage 1.

Passage 2 argues against the practicality of the proposals put forth in Passage 1.

Passage 2 expresses reservations about developments discussed in Passage 1.

Question 108 of 154 | Craft and Structure · Level 5

The author of Passage 2 would most likely respond to the discussion of the future of space mining in lines 18-28, Passage 1, by claiming that such a future

is inconsistent with the sustainable use of space resources.

will be difficult to bring about in the absence of regulations.

cannot be attained without technologies that do not yet exist.

seems certain to affect Earth's economy in a negative way.

Question 109 of 154 | Information and Ideas · Level 5

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

Lines 60-63 ("Some . . . pristine")

Lines 74-76 ("The resources . . . Earth")

Lines 81-83 ("One . . . avoided")

Lines 85-87 ("Without . . . insecure")

Question 110 of 154 | Craft and Structure · Level 5

Which point about the resources that will be highly valued in space is implicit in Passage 1 and explicit in Passage 2?

They may be different resources from those that are valuable on Earth.

They will be valuable only if they can be harvested cheaply.

They are likely to be primarily precious metals and rare earth elements.

They may increase in value as those same resources become rare on Earth.

Question 111 of 154 | Expression of Ideas · Level 1

Given these solutions as well as the many health benefits of the food, the advantages of Greek yogurt outdo the potential drawbacks of its production. (Question 1 refers to the underlined word "outdo.")

NO CHANGE

defeat

outperform

outweigh

Question 112 of 154 | Expression of Ideas · Level 1

[4] They can add it to livestock feed as a protein supplement, and people can make their own Greek-style yogurt at home by straining regular yogurt. (Question 2 refers to the underlined portion beginning with "supplement.") Which choice provides the most relevant detail?

NO CHANGE

supplement and convert it into gas to use as fuel in electricity production.

supplement, while sweet whey is more desirable as a food additive for humans.

supplement, which provides an important element of their diet.

Question 113 of 154 | Standard English Conventions · Level 1

[5] If it is improperly introduced into the environment, acid-whey runoff can pollute waterways, depleting the oxygen content of streams and rivers as it decomposes. (Question 3 refers to the underlined portion "can pollute waterways,")

NO CHANGE

can pollute waterway s,

could have polluted waterways,

has polluted waterway's,

Question 114 of 154 | Standard English Conventions · Level 1

[6] Yogurt manufacturers, food scientists; and government officials are also working together to develop additional solutions for reusing whey. (Question 4 refers to the underlined portion "scientists; and")

NO CHANGE

scientists: and

scientists, and

scientists, and,

Question 115 of 154 | Expression of Ideas · Level 1

To make this paragraph most logical, sentence 5 should be placed

where it is now.

after sentence 1.

after sentence 2.

after sentence 3.

Question 116 of 154 | Expression of Ideas · Level 1

The writer is considering deleting the underlined sentence ("Though these conservation methods can be costly and time-consuming, they are well worth the effort."). Should the writer do this?

Yes, because it does not provide a transition from the previous paragraph.

Yes, because it fails to support the main argument of the passage as introduced in the first paragraph.

No, because it continues the explanation of how acid whey can be disposed of safely.

No, because it sets up the argument in the paragraph for the benefits of Greek yogurt.

Question 117 of 154 | Standard English Conventions · Level 2

Nutritionists consider Greek yogurt to be a healthy food: it is an excellent source of calcium and protein, serves to be a digestive aid, and it contains few calories in its unsweetened low- and non-fat forms. (Question 7 refers to the underlined word "to" in "serves to be a digestive aid.")

NO CHANGE

for

Question 118 of 154 | Standard English Conventions · Level 2

NO CHANGE

containing

contains

will contain

Question 119 of 154 | Expression of Ideas · Level 2

Greek yogurt is slightly lower in sugar and carbohydrates than conventional yogurt is. Also, because it is more concentrated, Greek yogurt contains slightly more protein per serving, thereby helping people stay satiated for longer periods of time. (Question 9 refers to the underlined transition word "Also,")

NO CHANGE

In other words,

Therefore,

For instance,

Question 120 of 154 | Craft and Structure · Level 2

Greek yogurt contains slightly more protein per serving, thereby helping people stay satiated for longer periods of time. (Question 10 refers to the underlined word "satiated.")

NO CHANGE

fulfilled

complacent

sufficient

Question 121 of 154 | Standard English Conventions · Level 2

Choose the option that best punctuates the underlined portion.

NO CHANGE

it, farmers

it, so farmers

it: farmers

Question 122 of 154 | Information and Ideas · Level 2

Passage ("Dark Snow"): The size of the ice sheet fluctuates seasonally: in summer, average daily high temperatures in Greenland can rise to slightly above $50$ degrees Fahrenheit, partially melting the ice; in the winter, the sheet thickens as additional snow falls, and average daily low temperatures can drop to as low as $20$ degrees. Which choice most accurately and effectively represents the information in the graph?

NO CHANGE

to $12$ degrees Fahrenheit.

to their lowest point on December $13$.

to $10$ degrees Fahrenheit and stay there for months.

Question 123 of 154 | Expression of Ideas · Level 2

Typically, the ice sheet begins to show evidence of thawing in late summer. This follows several weeks of higher temperatures. Which choice most effectively combines the two sentences at the underlined portion?

summer, following

summer, and this thawing follows

summer, and such thawing follows

summer and this evidence follows

Question 124 of 154 | Expression of Ideas · Level 2

Most scientists looking for the causes of the Great Melt of $2012$ have focused exclusively on rising temperatures. The summer of $2012$ was the warmest in $170$ years, records show. ___ Jason Box, an associate professor of geology at Ohio State, believes that another factor added to the early thaw.

NO CHANGE

However,

As such,

Moreover,

Question 125 of 154 | Standard English Conventions · Level 3

But Jason Box, an associate professor of geology at Ohio State believes that another factor added to the early thaw. Choose the best punctuation for the underlined portion.

NO CHANGE

Box an associate professor of geology at Ohio State,

Box, an associate professor of geology at Ohio State,

Box, an associate professor of geology, at Ohio State

Question 126 of 154 | Standard English Conventions · Level 3

...believes that another factor added to the early thaw; the "dark snow" problem. Choose the best punctuation for the underlined portion.

NO CHANGE

thaw; and it was

thaw:

thaw: being

Question 127 of 154 | Standard English Conventions · Level 3

According to Box, a leading Greenland expert, tundra fires in $2012$ from as far away as North America produced great amounts of soot, some ___ of it drifted over Greenland in giant plumes of smoke.

NO CHANGE

soot

of which

DELETE the underlined portion.

Question 128 of 154 | Standard English Conventions · Level 3

...soot, some of it drifted over Greenland in giant plumes of smoke and then ___ as particles onto the ice sheet.

NO CHANGE

falls

will fall

had fallen

Question 129 of 154 | Standard English Conventions · Level 3

Scientists have long known that soot particles facilitate melting by darkening snow and ice, limiting ___ ability to reflect the Sun's rays.

NO CHANGE

its

there

their

Question 130 of 154 | Expression of Ideas · Level 3

The result is a self-reinforcing cycle. As the ice melts, the land and water under the ice become exposed, and since land and water are darker than snow, the surface absorbs even more heat, which ___. Which choice best completes the description of a self-reinforcing cycle?

NO CHANGE

raises the surface temperature.

begins to cool at a certain point.

leads to additional melting.

Question 131 of 154 | Expression of Ideas · Level 3

The pattern Box observed in $2012$ may repeat ___ again, with harmful effects on the Arctic ecosystem. Choose the best version of the underlined portion.

NO CHANGE

itself,

itself, with damage and

itself possibly,

Question 132 of 154 | Expression of Ideas · Level 3

[1] Box's research is important because the fires of $2012$ may not be a one-time phenomenon. [2] According to scientists, rising Arctic temperatures are making northern latitudes greener and thus more fire prone. [3] The pattern Box observed in $2012$ may repeat itself again, with harmful effects on the Arctic ecosystem. [4] Box is currently organizing an expedition to gather this crucial information. [5] The next step for Box and his team is to travel to Greenland to perform direct sampling of the ice in order to determine just how much the soot is contributing to the melting of the ice sheet. [6] Members of the public will be able to track his team's progress—and even help fund the expedition—through a website Box has created. To make this paragraph most logical, sentence 4 should be placed

where it is now.

after sentence 1.

after sentence 2.

after sentence 5.

Question 133 of 154 | Expression of Ideas · Level 3

Passage ("Coworking: A Creative Solution"): The novelty of this comfortable work-from-home life, however, ___ off quickly. Choose the best version of the underlined portion.

NO CHANGE

was promptly worn

promptly wore

wore

Question 134 of 154 | Standard English Conventions · Level 3

Having become frustrated trying to solve difficult problems, ___. Choose the option that best maintains correct sentence structure and logic.

NO CHANGE

colleagues were important for sharing ideas.

ideas couldn't be shared with colleagues.

I missed having colleagues nearby to consult.

Question 135 of 154 | Standard English Conventions · Level 3

It was during this time that I read an article ___ coworking spaces.

NO CHANGE

about

upon

for

Question 136 of 154 | Standard English Conventions · Level 3

The article, published by Forbes magazine, explained that coworking spaces are designated locations that, for a fee, individuals can use to conduct their work. The spaces are usually stocked with standard office equipment, such as photocopiers, printers, and fax machines.

Which choice best maintains the conventions of standard written English?

NO CHANGE

equipment, such as:

equipment such as:

equipment, such as,

Question 137 of 154 | Expression of Ideas · Level 3

The spaces are usually stocked with standard office equipment, such as photocopiers, printers, and fax machines. [27] In these locations, however, the spaces often include small meeting areas and larger rooms for hosting presentations.

Which choice provides the most logical transition?

NO CHANGE

In addition to equipment,

For these reasons,

Likewise,

Question 138 of 154 | Expression of Ideas · Level 3

The writer is considering deleting the underlined sentence: "The cost of launching a new coworking business in the United States is estimated to be approximately $\58,000." Should the sentence be kept or deleted?

Kept, because it provides a detail that supports the main topic of the paragraph.

Kept, because it sets up the main topic of the paragraph that follows.

Deleted, because it blurs the paragraph's main focus with a loosely related detail.

Deleted, because it repeats information that has been provided in an earlier paragraph.

Question 139 of 154 | Information and Ideas · Level 3

The article refers to a 2012 survey in which [29] 64 percent of respondents noted that coworking spaces prevented them from completing tasks in a given time. The graph "Perceived Effect of Coworking on Business Skills" (Adapted from "The 3rd Global Coworking Survey," ©2013 by Deskmag) shows the percentage of respondents reporting a positive or negative impact for: completing tasks in a given time ($74%$ positive, $2%$ negative); ideas relating to business ($71%$ positive, $3%$ negative); creativity ($68%$ positive, $3%$ negative); ability to focus ($64%$ positive, $12%$ negative); and standard of work ($62%$ positive, $8%$ negative). Which choice most effectively completes the sentence with relevant and accurate information based on the graph above?

NO CHANGE

$71$ percent of respondents indicated that using a coworking space increased their creativity.

respondents credited coworking spaces with giving them $74$ percent of their ideas relating to business.

respondents revealed that their ability to focus on their work improved by $12$ percent in a coworking space.

Question 140 of 154 | Standard English Conventions · Level 3

The article goes on to suggest that the most valuable resources provided by coworking spaces are actually the people [30] whom use them. Which choice is best?

NO CHANGE

whom uses

who uses

who use

Question 141 of 154 | Expression of Ideas · Level 4

The writer wants to add the following sentence to the paragraph: "After filling out a simple registration form and taking a quick tour of the facility, I took a seat at a table and got right to work on my laptop." The paragraph reads: [1] Thus, even though I already had all the equipment I needed in my home office, I decided to try using a coworking space in my city. [2] Because I was specifically interested in coworking's reported benefits related to creativity, I chose a facility that offered a bright, open work area where I wouldn't be isolated. [3] Throughout the morning, more people appeared. [4] Periods of quiet, during which everyone worked independently, were broken up occasionally with lively conversation. The best placement for the sentence is immediately

before sentence 1.

after sentence 1.

after sentence 2.

after sentence 3.

Question 142 of 154 | Standard English Conventions · Level 4

Over time, I've gotten to know several of my coworking [32] colleagues: another website developer, a graphic designer, a freelance writer, and several mobile app coders.

Which choice best maintains the conventions of standard written English?

NO CHANGE

colleagues;

colleagues,

colleagues

Question 143 of 154 | Craft and Structure · Level 4

Even those of us who work in disparate fields are able to [33] share advice and help each other brainstorm. Which choice is most appropriate in tone and context?

NO CHANGE

give some wisdom

proclaim our opinions

opine

Question 144 of 154 | Expression of Ideas · Level 4

Philosophy is now being seen by many students and prospective employers as in fact a very useful and practical major, offering students a host of transferable skills with relevance to the modern workplace. [34] In broad terms, philosophy is the study of meaning and the values underlying thought and behavior.

Which choice provides the most logical transition?

NO CHANGE

For example,

In contrast,

Nevertheless,

Question 145 of 154 | Standard English Conventions · Level 4

But [35] more pragmatically, the discipline encourages students to analyze complex material, question conventional beliefs, and express thoughts in a concise manner.

Which choice best maintains the conventions of standard written English?

NO CHANGE

speaking in a more pragmatic way,

speaking in a way more pragmatically,

in a more pragmatic-speaking way,

Question 146 of 154 | Standard English Conventions · Level 4

Because philosophy [36] teaching students not what to think but how to think, the age-old discipline offers consistently useful tools for academic and professional achievement. Which choice is best?

NO CHANGE

teaches

to teach

and teaching

Question 147 of 154 | Expression of Ideas · Level 4

Because philosophy teaches students not what to think but how to think, the age-old discipline offers consistently useful tools for academic and professional achievement. [37] A 1994 survey concluded that only 18 percent of American colleges required at least one philosophy course. Which choice most effectively sets up the information that follows?

Consequently, philosophy students have been receiving an increasing number of job offers.

Therefore, because of the evidence, colleges increased their offerings in philosophy.

Notwithstanding the attractiveness of this course of study, students have resisted majoring in philosophy.

However, despite its many utilitarian benefits, colleges have not always supported the study of philosophy.

Question 148 of 154 | Expression of Ideas · Level 4

A 1994 survey concluded that only $18$ percent of American colleges required at least one philosophy course. [38] Therefore, between 1992 and 1996, more than 400 independent philosophy departments were eliminated from institutions.

Which choice provides the most logical transition?

NO CHANGE

Thus,

Moreover,

However,

Question 149 of 154 | Writing · Level 5

Studies have found that those students who major in philosophy often do better than students from other majors in both verbal reasoning and analytical writing. These results can be measured by standardized test scores. Which choice most effectively combines the sentences at the underlined portion ("analytical ___ writing. These results can be measured by standardized test scores")?

writing as

writing, and these results can be

writing, which can also be

writing when the results are

Question 150 of 154 | Standard English Conventions · Level 5

On the Graduate Record Examination (GRE), for example, students intending to study philosophy in graduate school ___ higher than students in all but four other majors.

NO CHANGE (has scored)

have scored

scores

scoring

Question 151 of 154 | Standard English Conventions · Level 5

These days, many ___ in philosophy have no intention of becoming philosophers; instead they plan to apply those skills to other disciplines.

NO CHANGE (student's majoring)

students majoring

students major

student's majors

Question 152 of 154 | Expression of Ideas · Level 5

At this point, the writer is considering adding the following sentence. "The ancient Greek philosopher Plato, for example, wrote many of his works in the form of dialogues." The surrounding text reads: "Law and business specifically benefit from the complicated theoretical issues raised in the study of philosophy, but philosophy can be just as useful in engineering or any field requiring complex analytic skills." Should the writer make this addition here?

Yes, because it reinforces the passage's main point about the employability of philosophy majors.

Yes, because it acknowledges a common counterargument to the passage's central claim.

No, because it blurs the paragraph's focus by introducing a new idea that goes unexplained.

No, because it undermines the passage's claim about the employability of philosophy majors.

Question 153 of 154 | Standard English Conventions · Level 5

That these skills are transferable across professions ___ makes them especially beneficial to twenty-first-century students.

NO CHANGE (which)

that

and

DELETE the underlined portion.

Question 154 of 154 | Standard English Conventions · Level 5

Because today's students can expect to hold multiple jobs—some of which may not even exist yet—during ___ lifetime, studying philosophy allows them to be flexible and adaptable.

NO CHANGE (our)

one's

his or her

their

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