SAT P4 - Prac

Question 1 of 154 | Algebra · Level 1

The monthly membership fee for an online television and movie service is \$9.80. The cost of viewing television shows online is included in the membership fee, but there is an additional fee of \$1.50 to rent each movie online. For one month, Jill's membership and movie rental fees were \$12.80. How many movies did Jill rent online that month?

$1$

$2$

$3$

$4$

Question 2 of 154 | Algebra · Level 1

One of the requirements for becoming a court reporter is the ability to type $225$ words per minute. Donald can currently type $180$ words per minute, and believes that with practice he can increase his typing speed by $5$ words per minute each month. Which of the following represents the number of words per minute that Donald believes he will be able to type $m$ months from now?

$5 + 180m$

$225 + 5m$

$180 + 5m$

$180 - 5m$

Question 3 of 154 | Ratios, Rates and Percentages · Level 1

If a $3$-pound pizza is sliced in half and each half is sliced into thirds, what is the weight, in ounces, of each of the slices? ($1$ pound $= 16$ ounces)

$4$

$6$

$8$

$16$

Question 4 of 154 | Statistics · Level 1

Nick surveyed a random sample of the freshman class of his high school to determine whether the Fall Festival should be held in October or November. Of the $90$ students surveyed, $25.6%$ preferred October. Based on this information, about how many students in the entire $225$-person class would be expected to prefer having the Fall Festival in October?

$50$

$60$

$75$

$80$

Question 5 of 154 | Ratios, Rates and Percentages · Level 1

The density of an object is equal to the mass of the object divided by the volume of the object. What is the volume, in milliliters, of an object with a mass of $24$ grams and a density of $3$ grams per milliliter?

$0.125$

$8$

$21$

$72$

Question 6 of 154 | Algebra · Level 2

Last week Raul worked $11$ more hours than Angelica. If they worked a combined total of $59$ hours, how many hours did Angelica work last week?

$24$

$35$

$40$

$48$

Question 7 of 154 | Probability · Level 2

Movies with Greatest Ticket Sales in 2012, categorized by type of movie (Action, Animated, Comedy, Drama) and MPAA rating (PG, PG-13, R):

MPAA rating	Action	Animated	Comedy	Drama	Total
PG	$2$	$7$	$0$	$2$	$11$
PG-13	$10$	$0$	$4$	$8$	$22$
R	$6$	$0$	$5$	$6$	$17$
Total	$18$	$7$	$9$	$16$	$50$

The table above represents the $50$ movies that had the greatest ticket sales in 2012, categorized by movie type and Motion Picture Association of America (MPAA) rating. What proportion of the movies are comedies with a PG-13 rating?

$\dfrac{2}{25}$

$\dfrac{9}{50}$

$\dfrac{2}{11}$

$\dfrac{11}{25}$

Question 8 of 154 | Algebra · Level 2

Line $A$ in the $xy$-plane contains points from each of Quadrants II, III, and IV, but no points from Quadrant
I. Which of the following must be true?

The slope of line $A$ is undefined.

The slope of line $A$ is zero.

The slope of line $A$ is positive.

The slope of line $A$ is negative.

Question 9 of 154 | Probability · Level 2

Number of Registered Voters in the United States in 2012, in Thousands, by region and age group:

Region	18 to 24	25 to 44	45 to 64	65 to 74	75 and older	Total
Northeast	2,713	8,159	10,986	3,342	2,775	27,975
Midwest	3,453	11,237	13,865	4,221	3,350	36,126
South	5,210	18,072	21,346	7,272	4,969	56,869
West	3,390	10,428	11,598	3,785	2,986	32,187
Total	14,766	47,896	57,795	18,620	14,080	153,157

The table above shows the number of registered voters in 2012, in thousands, in four geographic regions and five age groups. Based on the table, if a registered voter who was $18$ to $44$ years old in 2012 is chosen at random, which of the following is closest to the probability that the registered voter was from the Midwest region?

$0.10$

$0.25$

$0.40$

$0.75$

Question 10 of 154 | Statistics · Level 2

Questions 10 and 11 refer to the following information. A curator at a wildlife society created a scatterplot titled "Gestation Period versus Life Expectancy" to examine the relationship between the gestation period (in days, ranging from about $10$ to $65$) and life expectancy (in years, ranging from $2$ to $12$) of $10$ species of animals. Four of the points are labeled $A$, $B$, $C$, and $D$. What is the life expectancy, in years, of the animal that has the longest gestation period?

$3$

$4$

$8$

$10$

Question 11 of 154 | Statistics · Level 2

Questions 10 and 11 refer to the same scatterplot of gestation period (in days) versus life expectancy (in years) for $10$ species of animals, with four points labeled $A$, $B$, $C$, and $D$. Of the labeled points, which represents the animal for which the ratio of life expectancy to gestation period is greatest?

$A$

$B$

$C$

$D$

Question 12 of 154 | Advanced Math · Level 2

In the $xy$-plane, the graph of function $f$ has $x$-intercepts at $-3$, $-1$, and $1$. Which of the following could define $f$?

$f(x) = (x - 3)(x - 1)(x + 1)$

$f(x) = (x - 3)(x - 1)^2$

$f(x) = (x - 1)(x + 1)(x + 3)$

$f(x) = (x + 1)^2 (x + 3)$

Question 13 of 154 | Advanced Math · Level 3

Time (weeks)	Population
0	100
5	1,000
10	10,000
15	100,000
20	1,000,000

The population of mosquitoes in a swamp is estimated over the course of twenty weeks, as shown in the table. The estimated population is plotted against time (in weeks): at time $0, 5, 10, 15, 20$ weeks the population scale ranges from $100$ to \$1,000,000$. Which of the following best describes the relationship between time and the estimated population of mosquitoes during the twenty weeks?

Increasing linear

Decreasing linear

Exponential growth

Exponential decay

Question 14 of 154 | Advanced Math · Level 3

The expression \$1,000(1 + r/1,200)^(12)$ gives the amount of money, \in dollars, generated \in a year by a \$1,000 deposit \in a bank account that pays an annual interest rate of $r$ %, compounded monthly. Which of the following expressions shows how much additional money is generated at an interest rate of 5% than at an interest rate of 3% ?

\$1,000(1 + (5 - 3)/1,200)^(12)$

\$1,000(1 + (5/3)/1,200)^(12)$

$\dfrac{1,000\left(1 + \dfrac{5}{1},200\right)^{12}}{1,000\left(1 + \dfrac{3}{1},200\right)^{12}}$

\$1,000(1 + 5/1,200)^(12) - 1,000(1 + 3/1,200)^(12)$

Question 15 of 154 | Advanced Math · Level 3

Which of the following scatterplots shows a relationship that is appropriately modeled with the equation $y = a x^b$, where $a$ is positive and $b$ is negative?

Scatterplot A

Scatterplot B

Scatterplot C

Scatterplot D

Question 16 of 154 | Algebra · Level 3

Mr. Martinson is building a concrete patio in his backyard and deciding where to buy the materials and rent the tools needed for the project. The table below shows the materials' cost and daily rental costs for three different stores. Store A: Materials' Cost $M = 750$, rental cost of wheelbarrow $W = 15$, rental cost of concrete mixer $K = 65$. Store B: $M = 600$, $W = 25$, $K = 80$. Store C: $M = 700$, $W = 20$, $K = 70$. The total cost, $y$, for buying the materials and renting the tools in terms of the number of days, $x$, is given by $y = M + (W + K) x$. For what number of days, $x$, will the total cost of buying the materials and renting the tools from Store B be less than or equal to the total cost of buying the materials and renting the tools from Store A ?

$x \leq 6$

$x \geq 6$

$x \leq 7.3$

$x \geq 7.3$

Question 17 of 154 | Algebra · Level 3

Mr. Martinson is building a concrete patio and the total cost, $y$, for buying the materials and renting the tools in terms of the number of days, $x$, is given by $y = M + (W + K) x$, where $M$ is the materials' cost, $W$ is the daily rental cost of a wheelbarrow, and $K$ is the daily rental cost of a concrete mixer. For Store C, $M = 700$, $W = 20$, and $K = 70$. If the relationship between the total cost, $y$, of buying the materials and renting the tools at Store C and the number of days, $x$, for which the tools are rented is graphed in the $x y$-plane, what does the slope of the line represent?

The total cost of the project

The total cost of the materials

The total daily cost of the project

The total daily rental costs of the tools

Question 18 of 154 | Geometry · Level 3

Jim has identical drinking glasses each in the shape of a right circular cylinder with internal diameter of $3$ inches. He pours milk from a gallon jug into each glass until it is full. If the height of milk in each glass is about $6$ inches, what is the largest number of full milk glasses that he can pour from one gallon of milk? (Note: There are $231$ cubic inches in $1$ gallon.)

$2$

$4$

$5$

$6$

Question 19 of 154 | Algebra · Level 3

If $\dfrac{p}{3} - 2 \geq 1$, what is the least possible value of $\dfrac{p}{3} + 2$ ?

$5$

$3$

$2$

$1$

Question 20 of 154 | Advanced Math · Level 3

The mass of living organisms in a lake is defined to be the biomass of the lake. If the biomass in a lake doubles each year, which of the following graphs could model the biomass in the lake as a function of time? (Note: In each graph below, $O$ represents $(0, 0)$.)

Graph A

Graph B

Graph C

Graph D

Question 21 of 154 | Statistics · Level 3

The bar graph shows renewable energy consumption in quadrillions of British thermal units (Btu) in the United States, by energy source (biofuels, geothermal, hydroelectric, wind, and wood), for the years 2000 and 2010. In a scatterplot of this data, where renewable energy consumption in the year 2000 is plotted along the $x$-axis and renewable energy consumption in the year 2010 is plotted along the $y$-axis for each of the given energy sources, how many data points would be above the line $y = x$ ?

$1$

$2$

$3$

$4$

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

The bar graph shows renewable energy consumption in quadrillions of British thermal units (Btu) in the United States, by energy source, for the years 2000 and 2010. Of the following, which best approximates the percent decrease in consumption of wood power in the United States from 2000 to 2010 ?

$6%$

$11%$

$21%$

$26%$

Question 23 of 154 | Statistics · Level 3

The tables below give the distribution of high temperatures in degrees Fahrenheit ($^{\circ} F$) for City A and City B over the same $21$ days in March. For City A, the frequencies for temperatures $80, 79, 78, 77, 76$ are $3, 14, 2, 1, 1$, respectively. For City B, the frequencies for temperatures $80, 79, 78, 77, 76$ are $6, 3, 2, 4, 6$, respectively. Which of the following is true about the data shown for these $21$ days?

The standard deviation of temperatures in City A is larger.

The standard deviation of temperatures in City B is larger.

The standard deviation of temperatures in City A is the same as that of City B.

The standard deviation of temperatures in these cities cannot be calculated with the data provided.

Question 24 of 154 | Geometry · Level 3

In the circle above, segment $A B$ is a diameter. If the length of arc $A D B$ is $8 \pi$, what is the length of the radius of the circle?

$2$

$4$

$8$

$16$

Question 25 of 154 | Advanced Math · Level 3

$f(x) = x^3 + 2x^2 + 6x + 4$, $g(x) = x^2 + 3x + 2$ The polynomials $f(x)$ and $g(x)$ are defined above. Which of the following polynomials is divisible by $x^2 + 3$?

$h(x) = f(x) + g(x)$

$p(x) = f(x) + 3 g(x)$

$r(x) = 2 f(x) + 3 g(x)$

$s(x) = 3 f(x) + 2 g(x)$

Question 26 of 154 | Algebra · Level 3

Let $x$ and $y$ be numbers such that $-y < x < y$. Which of the following must be true?
I. $x < y$
II. $x > 0$
III. $y > 0$

I only

I and II only

I and III only

I, II, and III

Question 27 of 154 | Statistics · Level 4

The relative housing cost for a US city is defined to be the ratio $\dfrac{\text{average housing cost for the city}}{\text{national average housing cost}}$, expressed as a percent. The scatterplot above shows the relative housing cost and the population density for several large US cities in the year 2005. The line of best fit is also shown and has equation $y = 0.0125 x + 61$. Which of the following best explains how the number $61$ in the equation relates to the scatterplot?

In 2005, the lowest housing cost in the United States was about \$61 per month.

In 2005, the lowest housing cost in the United States was about $61$% of the highest housing cost.

In 2005, even in cities with low population densities, housing costs were never below $61$% of the national average.

In 2005, even in cities with low population densities, housing costs were likely at least $61$% of the national average.

Question 28 of 154 | Advanced Math · Level 4

$f(x) = (x + 6)(x - 4)$ Which of the following is an equivalent form of the function $f$ above in which the minimum value of $f$ appears as a constant or coefficient?

$f(x) = x^2 - 24$

$f(x) = x^2 + 2x - 24$

$f(x) = (x - 1)^2 - 21$

$f(x) = (x + 1)^2 - 25$

Question 29 of 154 | Statistics · Level 4

If $x$ is the average (arithmetic mean) of $m$ and $9$, $y$ is the average of $\dfrac{m}{2}$ and $15$, and $z$ is the average of $\dfrac{m}{3}$ and $18$, what is the average of $x$, $y$, and $z$ in terms of $m$?

$m + 6$

$m + 7$

$\dfrac{m}{2} + 14$

$\dfrac{m}{3} + 21$

Question 30 of 154 | Advanced Math · Level 4

The function $f(x) = x^3 - 4x^2 - 11x$ is graphed in the $x y$-plane above. If $k$ is a constant such that the equation $f(x) = k$ has three real solutions, which of the following could be the value of $k$?

$2$

$0$

$-2$

$-3$

Question 31 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`

A partially filled pool contains $600$ gallons of water. A hose is turned on, and water flows into the pool at the rate of $8$ gallons per minute. How many gallons of water will be in the pool after $70$ minutes?

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 normal systolic blood pressure $P$, in millimeters of mercury, for an adult male $x$ years old can be modeled by the equation $P = \dfrac{x + 220}{2}$. According to the model, for every increase of $1$ year in age, by how many millimeters of mercury will the normal systolic blood pressure for an adult male increase?

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`

The pes, a Roman measure of length, is approximately equal to $11.65$ inches. It is also equivalent to $16$ smaller Roman units called digits. Based on these relationships, $75$ Roman digits is equivalent to how many feet, to the nearest hundredth? ($12$ inches $= 1$ foot)

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`

In a study of bat migration habits, 240 male bats and 160 female bats have been tagged. If 100 more female bats are tagged, how many more male bats must be tagged so that $\dfrac{3}{5}$ of the total number of bats in the study are male?

Answer:

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

Question 35 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`

$q = \dfrac{1}{2} n v^2$ The dynamic pressure $q$ generated by a fluid moving with velocity $v$ can be found using the formula above, where $n$ is the constant density of the fluid. An aeronautical engineer uses the formula to find the dynamic pressure of a fluid moving with velocity $v$ and the same fluid moving with velocity $1.5v$. What is the ratio of the dynamic pressure of the faster fluid to the dynamic pressure of the slower fluid?

Answer:

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

Question 36 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`

Note: Figure not drawn to scale. In the figure above, the circle has center $O$ and has radius $10$. If the length of arc $A B$ (shown in bold) is between $5$ and $6$, what is one possible integer 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

Questions 37 and 38 refer to the following information. The stock price of one share in a certain company is worth \$360 today. A stock analyst believes that the stock will lose $28$ percent of its value each week for the next three weeks. The analyst uses the equation $V = 360(r)^t$ to model the value, $V$, of the stock after $t$ weeks.

What value should the analyst use for $r$?

Answer:

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

Question 38 of 154 | Advanced Math · Level 5

To the nearest dollar, what does the analyst believe the value of the stock will be at the end of three weeks? (Note: Disregard the \$ sign when gridding your answer.)

Answer:

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

Question 39 of 154 | Advanced Math · Level 1

Which of the following expressions is equal to $0$ for some value of $x$?

$|x - 1| - 1$

$|x + 1| + 1$

$|x - 1| + 1$

$|x + 1| - 1$

Question 40 of 154 | Algebra · Level 1

$f(x) = \dfrac{3}{2} x + b$ In the function above, $b$ is a constant. If $f(6) = 7$, what is the value of $f(-2)$?

$-5$

$-2$

$1$

$7$

Question 41 of 154 | Algebra · Level 1

$x - y = 6$, $4(x + 1) = y$ If $(x, y)$ is the solution to the system of equations above, what is the value of $y$?

$2$

$4$

$12$

$24$

Question 42 of 154 | Algebra · Level 2

If $f(x) = -2x + 5$, what is $f(-3x)$ equal to?

$-6x - 5$

$6x + 5$

$6x - 5$

$6x - 15$

Question 43 of 154 | Advanced Math · Level 2

$3(2x + 1)(4x + 1)$ Which of the following is equivalent to the expression above?

$45x$

$24x^2 + 3$

$24x^2 + 18x + 3$

$18x^2 + 6$

Question 44 of 154 | Ratios, Rates and Percentages · Level 2

If $\dfrac{a - b}{b} = \dfrac{3}{7}$, which of the following must also be true?

$\dfrac{a}{b} = -\dfrac{4}{7}$

$\dfrac{a}{b} = \dfrac{10}{7}$

$\dfrac{a + b}{b} = \dfrac{10}{7}$

$\dfrac{a - 2b}{b} = -\dfrac{11}{7}$

Question 45 of 154 | Algebra · Level 2

While preparing to run a marathon, Amelia created a training schedule in which the distance of her longest run every week increased by a constant amount. If Amelia's training schedule requires that her longest run in week $4$ is a distance of $8$ miles and her longest run in week $16$ is a distance of $26$ miles, which of the following best describes how the distance Amelia runs changes between week $4$ and week $16$ of her training schedule?

Amelia increases the distance of her longest run by $0.5$ miles each week.

Amelia increases the distance of her longest run by $2$ miles each week.

Amelia increases the distance of her longest run by $2$ miles every $3$ weeks.

Amelia increases the distance of her longest run by $1.5$ miles each week.

Question 46 of 154 | Algebra · Level 3

Which of the following equations represents a line that is parallel to the line with equation $y = -3x + 4$?

$6x + 2y = 15$

$3x - y = 7$

$2x - 3y = 6$

$x + 3y = 1$

Question 47 of 154 | Advanced Math · Level 3

$\sqrt{x - a} = x - 4$ If $a = 2$, what is the solution set of the equation above?

$\{3, 6\}$

$\{2\}$

$\{3\}$

$\{6\}$

Question 48 of 154 | Advanced Math · Level 3

If $\dfrac{t + 5}{t - 5} = 10$, what is the value of $t$?

$\dfrac{45}{11}$

$5$

$\dfrac{11}{2}$

$\dfrac{55}{9}$

Question 49 of 154 | Advanced Math · Level 3

$y = 2x + 5$, $y = (2x - 3)(x + 9)$ How many ordered pairs $(x, y)$ satisfy the system of equations shown above?

$0$

$1$

$2$

Infinitely many

Question 50 of 154 | Ratios, Rates and Percentages · Level 3

Ken and Paul each ordered a sandwich at a restaurant. The price of Ken's sandwich was $x$ dollars, and the price of Paul's sandwich was \$1 more than the price of Ken's sandwich. If Ken and Paul split the cost of the sandwiches evenly and each paid a 20% tip, which of the following expressions represents the amount, in dollars, each of them paid? (Assume there is no sales tax.)

$0.2x + 0.2$

$0.5x + 0.1$

$1.2x + 0.6$

$2.4x + 1.2$

Question 51 of 154 | Advanced Math · Level 3

The functions $f$ and $g$, defined by $f(x) = 8x^2 - 2$ and $g(x) = -8x^2 + 2$, are graphed in the xy-plane above. The graphs of $f$ and $g$ intersect at the points $(k, 0)$ and $(-k, 0)$. What is the value of $k$?

$\dfrac{1}{4}$

$\dfrac{1}{2}$

$1$

$2$

Question 52 of 154 | Advanced Math · Level 4

$\dfrac{8 - i}{3 - 2i}$ If the expression above is rewritten in the form $a + bi$, where $a$ and $b$ are real numbers, what is the value of $a$? (Note: $i = \sqrt{-1}$)

$2$

$\dfrac{8}{3}$

$3$

$\dfrac{11}{3}$

Question 53 of 154 | Advanced Math · Level 4

$2x^2 - kx = 2p$ In the quadratic equation above, $k$ and $p$ are constants. What are the solutions for $x$?

$x = \dfrac{k \pm \sqrt{k^2 + 2p}}{4}$

$x = \dfrac{k \pm \sqrt{k^2 + 32p}}{4}$

$x = \dfrac{k \pm \sqrt{k^2 + 2p}}{2}$

$x = \dfrac{k \pm \sqrt{k^2 + 32p}}{2}$

Question 54 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`

Jim has a triangular shelf system that attaches to his showerhead. The total height of the system is $18$ inches, and there are three parallel shelves as shown above. What is the maximum height, in inches, of a shampoo bottle that can stand upright on the middle shelf?

Answer:

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

Question 55 of 154 | Trigonometry · 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`

In the triangle above, the sine of $x^{\circ}$ is $0.6$. What is the cosine of $y^{\circ}$?

Answer:

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

Question 56 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`

$x^3 - 5x^2 + 2x - 10 = 0$ For what real value of $x$ is the equation above true?

Answer:

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

Question 57 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`

$-3x + 4y = 20$ $6x + 3y = 15$ If $(x, y)$ is the solution to the system of equations above, what is the value of $x$?

Answer:

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

Question 58 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 mesosphere is the layer of Earth's atmosphere between $50$ kilometers and $85$ kilometers above Earth's surface. At a distance of $50$ kilometers from Earth's surface, the temperature in the mesosphere is $-5^{\circ}$ Celsius, and at a distance of $80$ kilometers from Earth's surface, the temperature in the mesosphere is $-80^{\circ}$ Celsius. For every additional $10$ kilometers from Earth's surface, the temperature in the mesosphere decreases by $k^{\circ}$ Celsius, where $k$ is a constant. What is the value of $k$?

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 adapted from MacDonald Harris, The Balloonist. ©2011 by The Estate of Donald Heiney. During the summer of 1897, the narrator of this story, a fictional Swedish scientist, has set out for the North Pole in a hydrogen-powered balloon. My emotions are complicated and not readily verifiable. I feel a vast yearning that is simultaneously a pleasure and a pain. I am certain of the consummation of this yearning, but I don't know yet what form it will take, since I do not understand quite what it is that the yearning desires. For the first time there is borne in upon me the full truth of what I myself said to the doctor only an hour ago: that my motives in this undertaking are not entirely clear. For years, for a lifetime, the machinery of my destiny has worked in secret to prepare for this moment; its clockwork has moved exactly toward this time and place and no other. Rising slowly from the earth that bore me and gave me sustenance, I am carried helplessly toward an uninhabited and hostile, or at best indifferent, part of the earth, littered with the bones of explorers and the wrecks of ships, frozen supply caches, messages scrawled with chilled fingers and hidden in cairns that no eye will ever see. Nobody has succeeded in this thing, and many have died. Yet in freely willing this enterprise, in choosing this moment and no other when the south wind will carry me exactly northward at a velocity of eight knots, I have converted the machinery of my fate into the servant of my will. All this I understand, as I understand each detail of the technique by which this is carried out. What I don't understand is why I am so intent on going to this particular place. Who wants the North Pole! What good is it! Can you eat it? Will it carry you from Gothenburg to Malmö like a railway? The Danish ministers have declared from their pulpits that participation in polar expeditions is beneficial to the soul's eternal well-being, or so I read in a newspaper. It isn't clear how this doctrine is to be interpreted, except that the Pole is something difficult or impossible to attain which must nevertheless be sought for, because man is condemned to seek out and know everything whether or not the knowledge gives him pleasure. In short, it is the same unthinking lust for knowledge that drove our First Parents out of the garden. And suppose you were to find it in spite of all, this wonderful place that everybody is so anxious to stand on! What would you find? Exactly nothing. A point precisely identical to all the others in a completely featureless wasteland stretching around it for hundreds of miles. It is an abstraction, a mathematical fiction. No one but a Swedish madman could take the slightest interest in it. Here I am. The wind is still from the south, bearing us steadily northward at the speed of a trotting dog. Behind us, perhaps forever, lie the Cities of Men with their teacups and their brass bedsteads. I am going forth of my own volition to join the ghosts of Bering and poor Franklin, of frozen De Long and his men. What I am on the brink of knowing, I now see, is not an ephemeral mathematical spot but myself. The doctor was right, even though I dislike him. Fundamentally I am a dangerous madman, and what I do is both a challenge to my egotism and a surrender to it.

Over the course of the passage, the narrator's attitude shifts from

fear about the expedition to excitement about it.

doubt about his abilities to confidence in them.

uncertainty of his motives to recognition of them.

disdain for the North Pole to appreciation of it.

Question 60 of 154 | Information and Ideas · Level 1

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

Lines 10-12 ("For . . . moment")

Lines 21-25 ("Yet . . . will")

Lines 42-44 ("And . . . stand on")

Lines 56-57 ("What . . . myself")

Question 61 of 154 | Craft and Structure · Level 1

As used in lines 1-2, "not readily verifiable" most nearly means

unable to be authenticated.

likely to be contradicted.

without empirical support.

not completely understood.

Question 62 of 154 | Craft and Structure · Level 1

The sentence in lines 10-13 ("For years . . . other") mainly serves to

expose a side of the narrator that he prefers to keep hidden.

demonstrate that the narrator thinks in a methodical and scientific manner.

show that the narrator feels himself to be influenced by powerful and independent forces.

emphasize the length of time during which the narrator has prepared for his expedition.

Question 63 of 154 | Information and Ideas · Level 1

The narrator indicates that many previous explorers seeking the North Pole have

perished in the attempt.

made surprising discoveries.

failed to determine its exact location.

had different motivations than his own.

Question 64 of 154 | Information and Ideas · Level 1

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

Lines 20-21 ("Nobody . . . died")

Lines 25-27 ("All . . . out")

Lines 31-34 ("The . . . newspaper")

Lines 51-53 ("Behind . . . bedsteads")

Question 65 of 154 | Information and Ideas · Level 1

Which choice best describes the narrator's view of his expedition to the North Pole?

Immoral but inevitable

Absurd but necessary

Socially beneficial but misunderstood

Scientifically important but hazardous

Question 66 of 154 | Information and Ideas · Level 2

The question the narrator asks in lines 30-31 ("Will it . . . railway") most nearly implies that

balloons will never replace other modes of transportation.

the North Pole is farther away than the cities usually reached by train.

people often travel from one city to another without considering the implications.

reaching the North Pole has no foreseeable benefit to humanity.

Question 67 of 154 | Craft and Structure · Level 2

As used in line 49, "take the slightest interest in" most nearly means

accept responsibility for.

possess little regard for.

pay no attention to.

have curiosity about.

Question 68 of 154 | Craft and Structure · Level 2

As used in line 50, "bearing" most nearly means

carrying.

affecting.

yielding.

enduring.

Question 69 of 154 | Information and Ideas · Level 2

This passage is adapted from Alan Ehrenhalt, The Great Inversion and the Future of the American City. ©2013 by Vintage. Ehrenhalt is an urbanologist—a scholar of cities and their development. Demographic inversion is a phenomenon that describes the rearrangement of living patterns throughout a metropolitan area. First paragraph (lines 1-35): We are not witnessing the abandonment of the suburbs, or a movement of millions of people back to the city all at once. The 2010 census certainly did not turn up evidence of a middle-class stampede to the nation's cities. The news was mixed: Some of the larger cities on the East Coast tended to gain population, albeit in small increments. Those in the Midwest, including Chicago, tended to lose substantial numbers. The cities that showed gains in overall population during the entire decade tended to be in the South and Southwest. But when it comes to measuring demographic inversion, raw census numbers are an ineffective blunt instrument. A closer look at the results shows that the most powerful demographic events of the past decade were the movement of African Americans out of central cities (180,000 of them in Chicago alone) and the settlement of immigrant groups in suburbs, often ones many miles distant from downtown. Central-city areas that gained affluent residents in the first part of the decade maintained that population in the recession years from 2007 to 2009. They also, according to a 2011 study by Brookings, suffered considerably less from increased unemployment than the suburbs did. Not many young professionals moved to new downtown condos in the recession years because few such residences were being built. But there is no reason to believe that the demographic trends prevailing prior to the construction bust will not resume once that bust is over. It is important to remember that demographic inversion is not a proxy for population growth; it can occur in cities that are growing, those whose numbers are flat, and even in those undergoing a modest decline in size.

Which choice best summarizes the first paragraph of the passage (lines 1-35)?

The 2010 census demonstrated a sizeable growth in the number of middle-class families moving into inner cities.

The 2010 census is not a reliable instrument for measuring population trends in American cities.

Population growth and demographic inversion are distinct phenomena, and demographic inversion is evident in many American cities.

Population growth in American cities has been increasing since roughly 2000, while suburban populations have decreased.

Question 70 of 154 | Information and Ideas · Level 2

According to the passage, members of which group moved away from central-city areas in large numbers in the early 2000s?

The unemployed

Immigrants

Young professionals

African Americans

Question 71 of 154 | Craft and Structure · Level 2

In line 34, “flat” is closest in meaning to

static.

deflated.

featureless.

obscure.

Question 72 of 154 | Information and Ideas · Level 2

According to the passage, which choice best describes the current financial situation in many major American cities?

Expected tax increases due to demand for public works

Economic hardship due to promises made in past years

Greater overall prosperity due to an increased inner-city tax base

Insufficient revenues due to a decrease in manufacturing

Question 73 of 154 | Information and Ideas · Level 2

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

Lines 36-39 (“America’s . . . decades”)

Lines 43-44 (“How . . . not know”)

Lines 44-46 (“What . . . now”)

Lines 48-51 (“The truth . . . end”)

Question 74 of 154 | Information and Ideas · Level 2

The passage implies that American cities in 1974

were witnessing the flight of minority populations to the suburbs.

had begun to lose their manufacturing sectors.

had a traditional four-zone structure.

were already experiencing demographic inversion.

Question 75 of 154 | Information and Ideas · Level 2

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

Lines 54-57 (“Much . . . Ernest W. Burgess”)

Lines 58-59 (“It was . . . settlement”)

Lines 66-71 (“Virtually . . . continuum”)

Lines 72-75 (“As . . . home”)

Question 76 of 154 | Craft and Structure · Level 3

As used in line 68, “conducted” is closest in meaning to

carried out.

supervised.

regulated.

inhibited.

Question 77 of 154 | Information and Ideas · Level 3

The author of the passage would most likely consider the information in chart 1 to be

excellent evidence for the arguments made in the passage.

possibly accurate but too crude to be truly informative.

compelling but lacking in historical information.

representative of a perspective with which the author disagrees.

Question 78 of 154 | Information and Ideas · Level 3

According to chart 2, the years 2000–2010 were characterized by

less growth in metropolitan areas of all sizes than had taken place in the 1990s.

more growth in small metropolitan areas than in large metropolitan areas.

a significant decline in the population of small metropolitan areas compared to the 1980s.

roughly equal growth in large metropolitan areas and nonmetropolitan areas.

Question 79 of 154 | Information and Ideas · Level 3

Chart 2 suggests which of the following about population change in the 1990s?

Large numbers of people moved from suburban areas to urban areas in the 1990s.

Growth rates fell in smaller metropolitan areas in the 1990s.

Large numbers of people moved from metropolitan areas to nonmetropolitan areas in the 1990s.

The US population as a whole grew more in the 1990s than in the 1980s.

Question 80 of 154 | Craft and Structure · Level 3

The primary purpose of the passage is to

present the background of a medical breakthrough.

evaluate the research that led to a scientific discovery.

summarize the findings of a long-term research project.

explain the development of a branch of scientific study.

Question 81 of 154 | Craft and Structure · Level 3

The author's attitude toward pharming is best described as one of

apprehension.

ambivalence.

appreciation.

astonishment.

Question 82 of 154 | Craft and Structure · Level 3

As used in line 20, "expert" most nearly means

knowledgeable.

professional.

capable.

trained.

Question 83 of 154 | Information and Ideas · Level 3

What does the author suggest about the transgenic studies done in the 1980s and 1990s?

They were limited by the expensive nature of animal research.

They were not expected to yield products ready for human use.

They were completed when an anticoagulant compound was identified.

They focused only on the molecular properties of cows, goats, and sheep.

Question 84 of 154 | Information and Ideas · Level 3

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

Lines 16-19 ("The trouble . . . need")

Lines 25-29 ("If they . . . milk")

Lines 35-36 ("At first . . . true")

Lines 37-40 ("That all . . . clots")

Question 85 of 154 | Information and Ideas · Level 3

According to the passage, which of the following is true of antithrombin?

It reduces compounds that lead to blood clots.

It stems from a genetic mutation that is rare in humans.

It is a sequence of DNA known as a promoter.

It occurs naturally in goats' mammary glands.

Question 86 of 154 | Information and Ideas · Level 3

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

Lines 12-16 ("Many . . . more")

Lines 42-44 ("It acts . . . bloodstream")

Lines 44-46 ("But as . . . antithrombin")

Lines 62-65 ("The researchers . . . production")

Question 87 of 154 | Information and Ideas · Level 3

Which of the following does the author suggest about the "female goats" mentioned in line 59?

They secreted antithrombin in their milk after giving birth.

Some of their kids were not born with the antithrombin gene.

They were the first animals to receive microinjections.

Their cells already contained genes usually found in humans.

Question 88 of 154 | Craft and Structure · Level 3

The most likely purpose of the parenthetical information in lines 63-64 is to

illustrate an abstract concept.

describe a new hypothesis.

clarify a claim.

define a term.

Question 89 of 154 | Craft and Structure · Level 3

The phrase "liquid gold" (line 71) most directly suggests that

GTC has invested a great deal of money in the microinjection technique.

GTC's milking parlors have significantly increased milk production.

transgenic goats will soon be a valuable asset for dairy farmers.

ATryn has proved to be a financially beneficial product for GTC.

Question 90 of 154 | Information and Ideas · Level 3

In Passage 1, Burke indicates that a contract between a person and society differs from other contracts mainly in its

brevity and prominence.

complexity and rigidity.

precision and usefulness.

seriousness and permanence.

Question 91 of 154 | Craft and Structure · Level 3

As used in line 4, “state” most nearly refers to a

style of living.

position in life.

temporary condition.

political entity.

Question 92 of 154 | Craft and Structure · Level 3

As used in line 22, “low” most nearly means

petty.

weak.

inadequate.

depleted.

Question 93 of 154 | Information and Ideas · Level 3

It can most reasonably be inferred from Passage 2 that Paine views historical precedents as

generally helpful to those who want to change society.

surprisingly difficult for many people to comprehend.

frequently responsible for human progress.

largely irrelevant to current political decisions.

Question 94 of 154 | Craft and Structure · Level 4

How would Paine most likely respond to Burke’s statement in lines 30-34, Passage 1 (“As the . . . born”)?

He would assert that the notion of a partnership across generations is less plausible to people of his era than it was to people in the past.

He would argue that there are no politically meaningful links between the dead, the living, and the unborn.

He would question the possibility that significant changes to a political system could be accomplished within a single generation.

He would point out that we cannot know what judgments the dead would make about contemporary issues.

Question 95 of 154 | Reading · Level 4

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

Lines 41-43 (“Every . . . it”)

Lines 43-45 (“The vanity . . . tyrannies”)

Lines 56-58 (“It is . . . accommodated”)

Lines 67-72 (“What . . . time”)

Question 96 of 154 | Craft and Structure · Level 4

Which choice best describes how Burke would most likely have reacted to Paine’s remarks in the final paragraph of Passage 2?

With approval, because adapting to new events may enhance existing partnerships.

With resignation, because changing circumstances are an inevitable aspect of life.

With skepticism, because Paine does not substantiate his claim with examples of governments changed for the better.

With disapproval, because changing conditions are insufficient justification for changing the form of government.

Question 97 of 154 | Reading · Level 4

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

Lines 1-4 (“To avoid . . . state”)

Lines 7-9 (“he should . . . solicitude”)

Lines 27-29 (“It is . . . perfection”)

Lines 34-38 (“The municipal . . . community”)

Question 98 of 154 | Craft and Structure · Level 4

Which choice best states the relationship between the two passages?

Passage 2 challenges the primary argument of Passage 1.

Passage 2 advocates an alternative approach to a problem discussed in Passage 1.

Passage 2 provides further evidence to support an idea introduced in Passage 1.

Passage 2 exemplifies an attitude promoted in Passage 1.

Question 99 of 154 | Reading · Level 4

The main purpose of both passages is to

suggest a way to resolve a particular political struggle.

discuss the relationship between people and their government.

evaluate the consequences of rapid political change.

describe the duties that governments have to their citizens.

Question 100 of 154 | Reading · Level 4

The main purpose of the passage is to

describe periods in Earth's recent geologic history.

explain the methods scientists use in radiocarbon analysis.

describe evidence linking the volcano Samalas to the Little Ice Age.

explain how volcanic glass forms during volcanic eruptions.

Question 101 of 154 | Craft and Structure · Level 4

Over the course of the passage, the focus shifts from

a criticism of a scientific model to a new theory.

a description of a recorded event to its likely cause.

the use of ice core samples to a new method of measuring sulfates.

the use of radiocarbon dating to an examination of volcanic glass.

Question 102 of 154 | Reading · Level 4

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

Lines 17-25 ("In 2012 . . . 1455 C.E.")

Lines 43-46 ("The researchers . . . atop the volcano")

Lines 46-48 ("They examined . . . material")

Lines 55-60 ("The team . . . 13th century")

Question 103 of 154 | Craft and Structure · Level 4

The author uses the phrase "is written in" (line
6) most likely to

demonstrate the concept of the hands-on nature of the work done by scientists.

highlight the fact that scientists often write about their discoveries.

underscore the sense of importance that scientists have regarding their work.

reinforce the idea that the evidence is there and can be interpreted by scientists.

Question 104 of 154 | Information and Ideas · Level 5

Where does the author indicate the medieval volcanic eruption most probably was located?

Near the equator, in Indonesia

In the Arctic region

In the Antarctic region

Near the equator, in Ecuador

Question 105 of 154 | Information and Ideas · Level 5

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

Lines 1-3 ("About 750 . . . Ice Age")

Lines 26-28 ("Such a . . . the cooling")

Lines 49-54 ("The volume . . . the Holocene")

Lines 61-64 ("It's not . . . climate impacts")

Question 106 of 154 | Information and Ideas · Level 5

As used in line 68, the phrase "Another possible candidate" implies that

powerful volcanic eruptions occur frequently.

the effects of volcanic eruptions can last for centuries.

scientists know of other volcanoes that erupted during the Middle Ages.

other volcanoes have calderas that are very large.

Question 107 of 154 | Information and Ideas · Level 5

Which choice best supports the claim that Quilotoa was not responsible for the Little Ice Age?

Lines 3-4 ("Identifying . . . tricky")

Lines 26-28 ("Such a . . . cooling")

Lines 43-46 ("The researchers . . . atop the volcano")

Lines 71-75 ("But . . . closer match")

Question 108 of 154 | Information and Ideas · Level 5

According to the data in the figure, the greatest below-average temperature variation occurred around what year?

1200 CE

1375 CE

1675 CE

1750 CE

Question 109 of 154 | Information and Ideas · Level 5

The passage and the figure are in agreement that the onset of the Little Ice Age began

around 1150 CE.

just before 1300 CE.

just before 1500 CE.

around 1650 CE.

Question 110 of 154 | Information and Ideas · Level 5

What statement is best supported by the data presented in the figure?

The greatest cooling during the Little Ice Age occurred hundreds of years after the temperature peaks of the Medieval Warm Period.

The sharp decline in temperature supports the hypothesis of an equatorial volcanic eruption in the Middle Ages.

Pyroclastic flows from volcanic eruptions continued for hundreds of years after the eruptions had ended.

Radiocarbon analysis is the best tool scientists have to determine the temperature variations after volcanic eruptions.

Question 111 of 154 | Standard English Conventions · Level 1

Ghost Mural — In 1932 the well-known Mexican muralist David Alfaro Siqueiros was commissioned to paint a mural on the second-story exterior wall of a historic building in downtown Los Angeles. Siqueiros was asked to celebrate tropical America in his work, [1] he accordingly titled it “América Tropical.” (The underlined portion is “he accordingly titled it”.)

NO CHANGE

which he accordingly titled

accordingly he titled it

it was titled accordingly

Question 112 of 154 | Expression of Ideas · Level 1

He painted the mural’s first two sections, featuring images of a tropical rainforest and a Maya pyramid, during the day. [2] Also, to avoid scrutiny, Siqueiros painted the final section of the mural, the centerpiece, at night. (The underlined portion is “Also,”.)

NO CHANGE

However,

Although,

Moreover,

Question 113 of 154 | Standard English Conventions · Level 1

To avoid scrutiny, Siqueiros painted the final section of the mural, the [3] centerpiece at night. (The underlined portion is “centerpiece”.)

NO CHANGE

centerpiece,

centerpiece;

centerpiece—

Question 114 of 154 | Expression of Ideas · Level 1

[4] The reason for Siqueiros’s secrecy became clear when the mural was unveiled. Which choice best connects the sentence with the previous paragraph?

NO CHANGE

All three sections of the mural were on display

The community turned out in large numbers

Siqueiros was informed of people’s reactions

Question 115 of 154 | Craft and Structure · Level 1

The reason for Siqueiros’s secrecy became clear when the mural was [5] confided. The centerpiece of the work was dominated by images of native people being oppressed. (The underlined word is “confided.”)

NO CHANGE

promulgated.

imparted.

unveiled.

Question 116 of 154 | Standard English Conventions · Level 1

The centerpiece of the work was dominated by images of native people being oppressed and [6] including an eagle symbolizing the United States. (The underlined portion is “including”.)

NO CHANGE

included

includes

had included

Question 117 of 154 | Standard English Conventions · Level 2

At the same time, a social and civil rights movement for Mexican Americans was working to raise awareness of Mexican American cultural identity. Artists associated with [7] this began to rediscover and promote the work of the Mexican muralists, particularly Siqueiros. (The underlined word is “this”.)

NO CHANGE

them

this movement

Question 118 of 154 | Writing · Level 2

[8] The result was an explosion of mural painting that spread throughout California and the southwestern United States in the 1970s. It was the Chicano mural movement. Which choice most effectively combines the underlined sentences?

The result was an explosion, the Chicano mural movement, of mural painting that spread throughout California and the southwestern United States in the 1970s.

The result was the Chicano mural movement, an explosion of mural painting that spread throughout California and the southwestern United States in the 1970s.

The explosion of mural painting that spread throughout California and the southwestern United States in the 1970s was the resulting Chicano mural movement.

An explosion of mural painting resulted and it spread throughout California and the southwestern United States in the 1970s; it was the Chicano mural movement.

Question 119 of 154 | Standard English Conventions · Level 2

Hundreds of large, colorful new murals depicting elements of Mexican American life and history appeared during this period, some in designated cultural locations but many more in abandoned lots, on unused buildings, or [9] painted on infrastructure such as highways and bridges. (The underlined portion is “painted on”.)

NO CHANGE

they were painted on

DELETE the underlined portion.

Question 120 of 154 | Expression of Ideas · Level 2

Which choice most effectively sets up the information that follows?

NO CHANGE

being cleaned and restored.

at risk of destruction.

awaiting its moment of appreciation.

Question 121 of 154 | Expression of Ideas · Level 2

At this point, the writer is considering adding the following sentence. When it was painted in 1932, Siqueiros's mural was considered offensive, but now it is acclaimed. Should the writer make this addition here?

Yes, because it provides historical context for the changes discussed in the passage.

Yes, because it provides a useful reminder of how people once viewed Siqueiros's work.

No, because it unnecessarily repeats information from earlier in the passage.

No, because it makes a claim about Siqueiros's work that is not supported by the passage.

Question 122 of 154 | Standard English Conventions · Level 2

Some people buy organic food because they believe organically grown crops are more nutritious and safer for consumption than 12 the people who purchase their conventionally grown counterparts, which are usually produced with pesticides and synthetic fertilizers.

NO CHANGE

the purchase of

purchasing

DELETE the underlined portion.

Question 123 of 154 | Standard English Conventions · Level 2

In the name of health, 13 spending \$1.60 for every dollar they would have spent on food that is grown in a manner that is considered conventional.

NO CHANGE

these consumers spend

having spent

to spend

Question 124 of 154 | Standard English Conventions · Level 2

In the name of health, these consumers spend \$1.60 for every dollar they would have spent on food that is 14 grown in a manner that is considered conventional.

NO CHANGE

grown with conventional methods, using pesticides and synthetic fertilizers.

conventionally and therefore not organically grown.

conventionally grown.

Question 125 of 154 | Expression of Ideas · Level 3

Scientific evidence, 15 therefore, suggests that consumers do not reap significant benefits, in terms of either nutritional value or safety, from organic food.

NO CHANGE

furthermore,

however,

subsequently,

Question 126 of 154 | Craft and Structure · Level 3

Although advocates of organic food 16 preserve that organic produce is healthier than conventionally grown produce because it has more vitamins and minerals, this assertion is not supported by scientific research.

NO CHANGE

carry on

maintain

sustain

Question 127 of 154 | Expression of Ideas · Level 3

This assertion is not supported by scientific research. 17 For instance, one review published in The American Journal of Clinical Nutrition provided analysis of the results of comparative studies conducted over a span of 50 years; researchers consistently found no evidence that organic crops are more nutritious than conventionally grown ones in terms of their vitamin and mineral content.

NO CHANGE

However,

In addition,

Likewise,

Question 128 of 154 | Expression of Ideas · Level 3

At this point, the writer is considering adding the following sentence. The United States Department of Agriculture (USDA) reports that organic agricultural products are now available in approximately 20,000 markets specializing in natural foods.

Should the writer make this addition here?

Yes, because it adds a relevant research finding from a government agency.

Yes, because it supports the passage's argument that organic food is less nutritious than conventionally grown food.

No, because it is not relevant to the paragraph's discussion of scientific evidence.

No, because it introduces a term that has not been defined in the passage.

Question 129 of 154 | Standard English Conventions · Level 3

According to such organizations as the US Environmental Protection Agency, the minute amounts of residue falling within such limits 19 have no negative impact on human health.

NO CHANGE

is having

has had

has

Question 130 of 154 | Expression of Ideas · Level 3

At this point, the writer wants to further reinforce the paragraph's claim about the safety of nonorganic food. Which choice most effectively accomplishes this goal?

To be labeled organic, a product must meet certain standards determined and monitored by the US Department of Agriculture.

Organic food, however, is regulated to eliminate artificial ingredients that include certain types of preservatives, sweeteners, colorings, and flavors.

Moreover, consumers who are concerned about ingesting pesticide residue can eliminate much of it by simply washing or peeling produce before eating it.

In fact, the Environmental Protection Agency estimates that about one-fifth of the pesticides used worldwide are applied to crops in the United States.

Question 131 of 154 | Standard English Conventions · Level 3

Proponents of organic food, of course, are quick to add that 21 their are numerous other reasons to buy organic food.

NO CHANGE

there are

they are

their is

Question 132 of 154 | Standard English Conventions · Level 3

Proponents of organic food, of course, are quick to add that there are numerous other reasons to buy organic food, such as, a desire to protect the environment from potentially damaging pesticides or a preference for the taste of organically grown foods.

NO CHANGE

food, such as:

food, such as

food. Such as,

Question 133 of 154 | Craft and Structure · Level 3

Passage: "You Are Where You Say." Research on regional variations in English-language use has not only yielded answers to such [23] life-altering questions as how people in different parts of the United States refer to carbonated beverages ("soda"? "pop"? "coke"?). The writer wants to convey an attitude of genuine interest and to avoid the appearance of mockery. Which choice best accomplishes this goal?

NO CHANGE

galvanizing

intriguing

weird

Question 134 of 154 | Standard English Conventions · Level 3

Research on regional variations in English-language use has not only yielded answers to such life-altering questions as how people refer to carbonated beverages ("soda"? "pop"? "coke"?) [24] it also illustrates how technology can change the very nature of research. Which choice best maintains the standard English conventions of the sentence?

NO CHANGE

and also illustrates

but also illustrates

illustrating

Question 135 of 154 | Writing · Level 3

While traditional, human-intensive data collection [25] has all but disappeared in language studies, the explosion of social media has opened new avenues for investigation. Which choice most effectively sets up the contrast in the sentence and is consistent with the information in the rest of the passage?

NO CHANGE

still has an important place

remains the only option

yields questionable results

Question 136 of 154 | Standard English Conventions · Level 3

The wait did not dampen enthusiasm among [26] scholars. Scholars consider the work a signal achievement in linguistics. Which choice most effectively combines the sentences at the underlined portion?

NO CHANGE

scholars, and these scholars

scholars, but scholars

scholars, who

Question 137 of 154 | Expression of Ideas · Level 3

To improve the cohesion and flow of this paragraph, the writer wants to add the following sentence. "Data gathering proved to be the quick part of the project." The sentence would most logically be placed after

sentence 2.

sentence 3.

sentence 4.

sentence 5.

Question 138 of 154 | Standard English Conventions · Level 3

Not all research into regional English varieties [28] requires such time, effort, and resources, however. Which choice maintains the standard English conventions of the sentence?

NO CHANGE

are requiring

have required

require

Question 139 of 154 | Standard English Conventions · Level 3

Today's researchers have found that the veritable army of trained volunteers traveling the country conducting face-to-face interviews can sometimes be [29] replaced by another army the vast array of individuals volunteering details about their lives—and, inadvertently, their language—through social media. Which choice maintains the standard English conventions of the sentence?

NO CHANGE

replaced—by another army,

replaced by another army;

replaced by another army:

Question 140 of 154 | Standard English Conventions · Level 3

Brice Russ of Ohio State University has employed software to sort through postings on one social media [30] cite in search of particular words and phrases of interest as well as the location from which users are posting. Which choice maintains the standard English conventions of the sentence?

NO CHANGE

site in search of

sight in search for

cite in search for

Question 141 of 154 | Writing · Level 4

As the map shows, "soda" is commonly heard in the middle and western portions of the United States; "pop" is frequently used in many southern states; and "coke" is predominant in the northeastern and southwest regions but used elsewhere as well. [31] The writer wants the information in the passage to correspond as closely as possible with the information in the map. Given that goal and assuming that the rest of the previous sentence would remain unchanged, in which sequence should the three terms for soft drinks be discussed?

NO CHANGE

"pop," "soda," "coke"

"pop," "coke," "soda"

"soda," "coke," "pop"

Question 142 of 154 | Standard English Conventions · Level 4

As interesting as Russ's findings are, though, [32] they're true value lies in their reminder that the Internet is not merely a sophisticated tool for collecting data. Which choice maintains the standard English conventions of the sentence?

NO CHANGE

their true value lies in their

there true value lies in they're

their true value lies in there

Question 143 of 154 | Expression of Ideas · Level 4

As interesting as Russ's findings are, their true value lies in their reminder that the Internet is not merely a sophisticated tool for collecting data but is also [33] itself a rich source of data. Which choice most effectively concludes the sentence and paragraph?

NO CHANGE

where we can learn what terms people use to refer to soft drinks.

a useful way to stay connected to friends, family, and colleagues.

helpful to researchers.

Question 144 of 154 | Standard English Conventions · Level 4

Which choice completes the text so that it conforms to the conventions of Standard English?

NO CHANGE

has been

are

was

Question 145 of 154 | Standard English Conventions · Level 4

Which choice completes the text so that it conforms to the conventions of Standard English punctuation?

NO CHANGE

elements: the settings, characters, and plots that make each game unique—

elements—the settings, characters, and plots that make each game unique—

elements; the settings, characters, and plots that make each game unique;

Question 146 of 154 | Standard English Conventions · Level 4

Which choice completes the text so that it conforms to the conventions of Standard English punctuation?

NO CHANGE

job, however. No

job—however, no

job however no

Question 147 of 154 | Expression of Ideas · Level 4

At this point, the writer is considering adding the following sentence. "Successful communication is essential if a designer's idea is to become a reality." Should the writer make this addition here?

Yes, because it supports the conclusion drawn in the following sentence.

Yes, because it illustrates a general principle discussed in the paragraph.

No, because it distracts from the focus of the paragraph by introducing irrelevant material.

No, because it merely reformulates the thought expressed in the preceding sentence.

Question 148 of 154 | Expression of Ideas · Level 4

Anyone considering a career as a video game designer must be able to explain his or her ideas clearly in order to ensure that the programmers, artists, and others on the team all share the same vision. Which choice results in a sentence that best supports the point developed in this paragraph?

NO CHANGE

possess a vivid imagination

assess his or her motivations carefully

learn to accept constructive criticism

Question 149 of 154 | Expression of Ideas · Level 5

Likewise, anyone considering a career as a video game designer must be skilled writers and speakers. Which choice completes the text with the most logical transition?

NO CHANGE

Nevertheless,

Consequently,

However,

Question 150 of 154 | Standard English Conventions · Level 5

Anyone considering a career as a video game designer must be skilled writers and speakers. Which choice completes the text so that it conforms to the conventions of Standard English?

NO CHANGE

a skilled writer and speaker.

skilled both as writers and speakers.

both skilled writers and speakers.

Question 151 of 154 | Standard English Conventions · Level 5

In fact, many designers initially begin their pursuits as programmers. Which choice completes the text so that it conforms to the conventions of Standard English and avoids redundancy?

NO CHANGE

start to begin their work

initiate their progression

begin their careers

Question 152 of 154 | Craft and Structure · Level 5

Courses in psychology and human behavior may help you develop emphatic collaboration skills. Which choice completes the text with the most logical and precise word in context?

NO CHANGE

paramount

eminent

important

Question 153 of 154 | Standard English Conventions · Level 5

Although demanding and deadline driven, video game design can be a lucrative and rewarding field for people who love gaming and have prepared themselves with the necessary skills and knowledge. Which choice completes the text so that it conforms to the conventions of Standard English?

NO CHANGE

the choice of video game design

you should choose video game design because it

choosing to design video games

Question 154 of 154 | Expression of Ideas · Level 5

To make this paragraph most logical, sentence 5 ("A designer also needs careful educational preparation.") should be

placed where it is now.

placed before sentence 1.

placed after sentence 3.

DELETED from the paragraph.

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MPAA rating	Action	Animated	Comedy	Drama	Total
PG	\(2\)	\(7\)	\(0\)	\(2\)	\(11\)
PG-13	\(10\)	\(0\)	\(4\)	\(8\)	\(22\)
R	\(6\)	\(0\)	\(5\)	\(6\)	\(17\)
Total	\(18\)	\(7\)	\(9\)	\(16\)	\(50\)

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