SAT P7 - Prac

Question 1 of 154 | Probability · Level 1

Feeding Information for Boarded Pets The table below shows the kinds of foods that are fed to the cats and dogs currently boarded at a pet care facility.

	Cats	Dogs	Total
Fed only wet food	5	2	7
Fed only dry food	11	23	34
Fed both wet and dry food	16	25	41
Total	32	50	82

What fraction of the dogs are fed only dry food?

$\dfrac{2}{41}$

$\dfrac{2}{25}$

$\dfrac{7}{41}$

$\dfrac{2}{7}$

Question 2 of 154 | Advanced Math · Level 1

Which of the following expressions is equivalent to $\left(\dfrac{x}{2} - 3\right)\left(\dfrac{x}{2} + 3\right) + 5$ ?

$\dfrac{x^2}{4} - 8$

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

$\dfrac{x^2}{2} - 8$

$\dfrac{x^2}{2} - 2$

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

A certain package requires $3$ centimeters of tape to be closed securely. What is the maximum number of packages of this type that can be secured with $6$ meters of tape? ($1$ meter $= 100$ cm)

$100$

$150$

$200$

$300$

Question 4 of 154 | Statistics · Level 1

A market researcher selected $200$ people at random from a group of people who indicated that they liked a certain book. The $200$ people were shown a movie based on the book and then asked whether they liked or disliked the movie. Of those surveyed, $95%$ said they disliked the movie. Which of the following inferences can appropriately be drawn from this survey result?

At least $95%$ of people who go see movies will dislike this movie.

At least $95%$ of people who read books will dislike this movie.

Most people who dislike this book will like this movie.

Most people who like this book will dislike this movie.

Question 5 of 154 | Algebra · Level 1

Which of the following ordered pairs $(x, y)$ satisfies the inequality $5x - 3y < 4$ ?
I. $(1, 1)$
II. $(2, 5)$
III. $(3, 2)$

I only

II only

I and II only

I and III only

Question 6 of 154 | Advanced Math · Level 2

In the equation $(ax + 3)^2 = 36$, $a$ is a constant. If $x = -3$ is one solution to the equation, what is a possible value of $a$ ?

$-11$

$-5$

$-1$

$0$

Question 7 of 154 | Statistics · Level 2

Questions 7 and 8 refer to the following information. The scatterplot "Distance and Density of Planetoids in the Inner Solar System" shows the densities of 7 planetoids, in grams per cubic centimeter, with respect to their average distances from the Sun in astronomical units (AU). The line of best fit is also shown.

According to the scatterplot, which of the following statements is true about the relationship between a planetoid's average distance from the Sun and its density?

Planetoids that are more distant from the Sun tend to have lesser densities.

Planetoids that are more distant from the Sun tend to have greater densities.

The density of a planetoid that is twice as far from the Sun as another planetoid is half the density of that other planetoid.

The distance from a planetoid to the Sun is unrelated to its density.

Question 8 of 154 | Statistics · Level 2

Using the scatterplot of the densities of 7 planetoids (in grams per cubic centimeter) versus their average distances from the Sun in astronomical units (AU), with the line of best fit shown: An astronomer has discovered a new planetoid about $1.2$ AU from the Sun. According to the line of best fit, which of the following best approximates the density of the planetoid, in grams per cubic centimeter?

$3.6$

$4.1$

$4.6$

$5.5$

Question 9 of 154 | Algebra · Level 2

$ax^b + 9 - 6 = 21$ Based on the equation above, what is the value of $ax^b$ ?

$3$

$6$

$8$

$12$

Question 10 of 154 | Ratios, Rates and Percentages · Level 2

Lani spent $15%$ of her $8$-hour workday in meetings. How many minutes of her workday did she spend in meetings?

$1.2$

$15$

$48$

$72$

Question 11 of 154 | Algebra · Level 2

A software company is selling a new game in a standard edition and a collector's edition. The box for the standard edition has a volume of $20$ cubic inches, and the box for the collector's edition has a volume of $30$ cubic inches. The company receives an order for $75$ copies of the game, and the total volume of the order to be shipped is 1,870 cubic inches. Which of the following systems of equations can be used to determine the number of standard edition games, $s$, and collector's edition games, $c$, that were ordered?

$75 - s = c$, $20s + 30c =$ 1,870

$75 - s = c$, $30s + 20c =$ 1,870

$s - c = 75$, $25(s + c) =$ 1,870

$s - c = 75$, $30s + 20c =$ 1,870

Question 12 of 154 | Ratios, Rates and Percentages · Level 2

A customer paid \$53.00 for a jacket after a $6$ percent sales tax was added. What was the price of the jacket before the sales tax was added?

\$47.60

\$50.00

\$52.60

\$52.84

Question 13 of 154 | Statistics · Level 3

Theresa ran on a treadmill for thirty minutes, and her time and speed are shown on the graph above. According to the graph, which of the following statements is NOT true concerning Theresa's run?

Theresa ran at a constant speed for five minutes.

Theresa's speed was increasing for a longer period of time than it was decreasing.

Theresa's speed decreased at a constant rate during the last five minutes.

Theresa's speed reached its maximum during the last ten minutes.

Question 14 of 154 | Geometry · Level 3

In the figure above, what is the value of $x$ ?

$45$

$90$

$100$

$105$

Question 15 of 154 | Ratios, Rates and Percentages · Level 3

If $50$ one-cent coins were stacked on top of each other in a column, the column would be approximately $3 \dfrac{7}{8}$ inches tall. At this rate, which of the following is closest to the number of one-cent coins it would take to make an $8$-inch-tall column?

$75$

$100$

$200$

$390$

Question 16 of 154 | Algebra · Level 3

If $a - b = 12$ and $\dfrac{b}{2} = 10$, what is the value of $a + b$ ?

$2$

$12$

$32$

$52$

Question 17 of 154 | Algebra · Level 3

$y = 19.99 + 1.50 x$ The equation above models the total cost $y$, in dollars, that a company charges a customer to rent a truck for one day and drive the truck $x$ miles. The total cost consists of a flat fee plus a charge per mile driven. When the equation is graphed in the $x y$-plane, what does the $y$-intercept of the graph represent in terms of the model?

A flat fee of \$19.99

A charge per mile of \$1.50

A charge per mile of \$19.99

Total daily charges of \$21.49

Question 18 of 154 | Statistics · Level 3

The scatterplot above shows data for ten charities, along with the line of best fit, relating each charity's total income (in millions of dollars) to the percent of total expenses spent on programs in 2011. For the charity with the greatest percent of total expenses spent on programs, which of the following is closest to the difference of the actual percent and the percent predicted by the line of best fit?

$10%$

$7%$

$4%$

$1%$

Question 19 of 154 | Algebra · Level 3

Mosteller's formula: $A = \dfrac{\sqrt{h w}}{60}$. Current's formula: $A = \dfrac{4 + w}{30}$. The formulas above are used in medicine to estimate the body surface area $A$, in square meters, of infants and children whose weight $w$ ranges between $3$ and $30$ kilograms and whose height $h$ is measured in centimeters. Based on Current's formula, what is $w$ in terms of $A$ ?

$w = 30 A - 4$

$w = 30 A + 4$

$w = 30 (A - 4)$

$w = 30 (A + 4)$

Question 20 of 154 | Advanced Math · Level 3

Mosteller's formula: $A = \dfrac{\sqrt{h w}}{60}$. Current's formula: $A = \dfrac{4 + w}{30}$. The formulas above are used in medicine to estimate the body surface area $A$, in square meters, of infants and children whose weight $w$ ranges between $3$ and $30$ kilograms and whose height $h$ is measured in centimeters. If Mosteller's and Current's formulas give the same estimate for $A$, which of the following expressions is equivalent to $\sqrt{h w}$ ?

$\dfrac{4 + w}{2}$

$\dfrac{4 + w}{1800}$

$2 (4 + w)$

$(2 (4 + w))^2$

Question 21 of 154 | Statistics · Level 3

The scatterplot above shows the numbers of grams of both total protein and total fat for eight sandwiches on a restaurant menu. The line of best fit for the data is also shown. According to the line of best fit, which of the following is closest to the predicted increase in total fat, in grams, for every increase of $1$ gram in total protein?

$2.5$

$2.0$

$1.5$

$1.0$

Question 22 of 154 | Statistics · Level 3

A survey was given to residents of all $50$ states asking if they had earned a bachelor's degree or higher. The results from $7$ of the states are given in the table above: State A, $21.9%$; State B, $27.9%$; State C, $25.9%$; State D, $19.5%$; State E, $30.1%$; State F, $36.4%$; State G, $35.5%$. The median percent of residents who earned a bachelor's degree or higher for all $50$ states was $26.95%$. What is the difference between the median percent of residents who earned a bachelor's degree or higher for these $7$ states and the median for all $50$ states?

$0.05%$

$0.95%$

$1.22%$

$7.45%$

Question 23 of 154 | Geometry · Level 3

A cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. The base of the can has an area of $75 \text{cm}^2$, and the height of the can is $10$ cm. If $110 \text{cm}^3$ of syrup is needed to fill the can to the top, which of the following is closest to the total volume of the pieces of fruit in the can?

$7.5 \text{cm}^3$

$185 \text{cm}^3$

$640 \text{cm}^3$

$750 \text{cm}^3$

Question 24 of 154 | Advanced Math · Level 3

$h(t) = -16 t^2 + 110 t + 72$ The function above models the height $h$, in feet, of an object above ground $t$ seconds after being launched straight up in the air. What does the number $72$ represent in the function?

The initial height, in feet, of the object

The maximum height, in feet, of the object

The initial speed, in feet per second, of the object

The maximum speed, in feet per second, of the object

Question 25 of 154 | Ratios, Rates and Percentages · Level 3

If $x$ food calories is equivalent to $k$ kilojoules, of the following, which best represents the relationship between $x$ and $k$?

$\dfrac{k}{x} = 0.24$

$\dfrac{k}{x} = 4.2$

$\dfrac{x}{k} = 4.2$

$x k = 4.2$

Question 26 of 154 | Algebra · Level 3

If the $180$ food calories in a granola bar come entirely from $p$ grams of protein, $f$ grams of fat, and $c$ grams of carbohydrate, which of the following expresses $f$ in terms of $p$ and $c$?

$f = 20 + \dfrac{4}{9}(p + c)$

$f = 20 - \dfrac{4}{9}(p + c)$

$f = 20 - \dfrac{4}{9}(p - c)$

$f = 20 + \dfrac{9}{4}(p + c)$

Question 27 of 154 | Advanced Math · Level 4

The world's population has grown at an average rate of $1.9$ percent per year since 1945. There were approximately $4$ billion people in the world in 1975. Which of the following functions represents the world's population $P$, in billions of people, $t$ years since 1975? ($1$ billion $= 1,000,000,000$)

$P(t) = 4(1.019)^t$

$P(t) = 4(1.9)^t$

$P(t) = 1.19 t + 4$

$P(t) = 1.019 t + 4$

Question 28 of 154 | Algebra · Level 4

In the $x y$-plane above, the graph of the linear function $f$ (where $y = f(x)$) passes through the origin $O$ and the point $(3, 6)$. A point (not shown) with coordinates $(s, t)$ lies on the graph of the linear function $f$. If $s$ and $t$ are positive integers, what is the ratio of $t$ to $s$?

$1$ to $3$

$1$ to $2$

$2$ to $1$

$3$ to $1$

Question 29 of 154 | Geometry · Level 4

A circle in the $x y$-plane has equation $(x + 3)^2 + (y - 1)^2 = 25$. Which of the following points does NOT lie in the interior of the circle?

$(-7, 3)$

$(-3, 1)$

$(0, 0)$

$(3, 2)$

Question 30 of 154 | Ratios, Rates and Percentages · Level 4

The manager of an online news service received a report on the number of subscriptions sold by the service: 5,600 subscriptions were sold in 2012 and 5,880 were sold in 2013. The manager estimated that the percent increase from 2012 to 2013 would be double the percent increase from 2013 to 2014. How many subscriptions did the manager expect would be sold in 2014?

6,020

6,027

6,440

6,468

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`

In 1854, during the California gold rush, each ounce of gold was worth \$20, and the largest known mass of gold found in California was worth \$62,400 in that year. What was the weight, in pounds, of this mass of gold? ($16$ ounces $= 1$ pound)

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`

Line $t$ is shown in the $x y$-plane above. What is the slope of line $t$?

Answer:

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

Question 33 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 score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If a player answered $40$ questions and obtained a score of $50$, how many questions did the player answer correctly?

Answer:

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

Question 34 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`

Point $C$ is the center of the circle above, and the shaded region is bounded by a central angle of $100°$. What fraction of the area of the circle is the area of the shaded region?

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`

$y = x^2 - 4x + 4$ and $y = 4 - x$. If the ordered pair $(x, y)$ satisfies the system of equations above, what is one possible value of $x$?

Answer:

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

Question 36 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 the figure above, $\tan B = \dfrac{3}{4}$. If $BC = 15$ and $DA = 4$, what is the length of $DE$?

Answer:

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

Question 37 of 154 | Statistics · Level 5

Questions 37 and 38 refer to the following information. Number of Contestants by Score and Day The table shows the number of contestants receiving a given score (out of
5) on each of 3 days. Day 1: $5$ out of $5$: $2$; $4$ out of $5$: $3$; $3$ out of $5$: $4$; $2$ out of $5$: $6$; $1$ out of $5$: $2$; $0$ out of $5$: $3$; Total: $20$. Day 2: $5$ out of $5$: $2$; $4$ out of $5$: $3$; $3$ out of $5$: $5$; $2$ out of $5$: $5$; $1$ out of $5$: $4$; $0$ out of $5$: $1$; Total: $20$. Day 3: $5$ out of $5$: $3$; $4$ out of $5$: $3$; $3$ out of $5$: $4$; $2$ out of $5$: $5$; $1$ out of $5$: $3$; $0$ out of $5$: $2$; Total: $20$. Column totals: $5$ out of $5$: $7$; $4$ out of $5$: $9$; $3$ out of $5$: $13$; $2$ out of $5$: $16$; $1$ out of $5$: $9$; $0$ out of $5$: $6$; Total: $60$. The same $20$ contestants, on each of $3$ days, answered $5$ questions in order to win a prize. Each contestant received $1$ point for each correct answer. The number of contestants receiving a given score on each day is shown in the table above.

What was the mean score of the contestants on Day 1?

Answer:

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

Question 38 of 154 | Probability · 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`

No contestant received the same score on two different days. If a contestant is selected at random, what is the probability that the selected contestant received a score of $5$ on Day 2 or Day 3, given that the contestant received a score of $5$ on one of the three days?

Answer:

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

Question 39 of 154 | Algebra · Level 1

$x + y = 75$ The equation above relates the number of minutes, $x$, Maria spends running each day and the number of minutes, $y$, she spends biking each day. In the equation, what does the number $75$ represent?

The number of minutes spent running each day

The number of minutes spent biking each day

The total number of minutes spent running and biking each day

The number of minutes spent biking for each minute spent running

Question 40 of 154 | Algebra · Level 1

Which of the following is equivalent to $3 (x + 5) - 6$ ?

$\dfrac{x}{3} - 3$

$\dfrac{x}{3} - 1$

$\dfrac{x}{3} + 9$

$\dfrac{x}{15} - 6$

Question 41 of 154 | Algebra · Level 1

$x - y = -3$, $2x + 2y = 6$ Which ordered pair $(x, y)$ satisfies the system of equations shown above?

$(-3, 0)$

$(0, 3)$

$(6, -3)$

$(36, -6)$

Question 42 of 154 | Advanced Math · Level 2

Which of the following complex numbers is equal to $(5 + 12i) - (-9 - 6i)$, for $i = \sqrt{-1}$ ?

$-14 - 18i$

$-4 - 6i$

$4 + 6i$

$14 + 18i$

Question 43 of 154 | Advanced Math · Level 2

If $f(x) = \dfrac{x^2 - 6x + 3}{x - 1}$, what is $f(-1)$ ?

$-5$

$-2$

$2$

$5$

Question 44 of 154 | Algebra · Level 2

A company that makes wildlife videos purchases camera equipment for \$32,400. The equipment depreciates in value at a constant rate for $12$ years, after which it is considered to have no monetary value. How much is the camera equipment worth $4$ years after it is purchased?

\$10,800

\$16,200

\$21,600

\$29,700

Question 45 of 154 | Advanced Math · Level 2

$x^2 + 6x + 4$ Which of the following is equivalent to the expression above?

$(x + 3)^2 + 5$

$(x + 3)^2 - 5$

$(x - 3)^2 + 5$

$(x - 3)^2 - 5$

Question 46 of 154 | Algebra · Level 3

Ken is working this summer as part of a crew on a farm. He earned \$8 per hour for the first $10$ hours he worked this week. Because of his performance, his crew leader raised his salary to \$10 per hour for the rest of the week. Ken saves $90%$ of his earnings from each week. What is the least number of hours he must work the rest of the week to save at least \$270 for the week?

$38$

$33$

$22$

$16$

Question 47 of 154 | Algebra · Level 3

Marisa needs to hire at least $10$ staff members for an upcoming project. The staff members will be made up of junior directors, who will be paid \$640 per week, and senior directors, who will be paid \$880 per week. Her budget for paying the staff members is no more than \$9,700 per week. She must hire at least $3$ junior directors and at least $1$ senior director. Which of the following systems of inequalities represents the conditions described if $x$ is the number of junior directors and $y$ is the number of senior directors?

$\begin{cases} 640 x + 880 y \geq 9700 \\ x + y \leq 10 \\ x \geq 3 \\ y \geq 1 \end{cases}$

$\begin{cases} 640 x + 880 y \leq 9700 \\ x + y \geq 10 \\ x \geq 3 \\ y \geq 1 \end{cases}$

$\begin{cases} 640 x + 880 y \geq 9700 \\ x + y \geq 10 \\ x \leq 3 \\ y \leq 1 \end{cases}$

$\begin{cases} 640 x + 880 y \leq 9700 \\ x + y \leq 10 \\ x \leq 3 \\ y \leq 1 \end{cases}$

Question 48 of 154 | Advanced Math · Level 3

$a x^3 + b x^2 + c x + d = 0$ In the equation above, $a$, $b$, $c$, and $d$ are constants. If the equation has roots $-1$, $-3$, and $5$, which of the following is a factor of $a x^3 + b x^2 + c x + d$ ?

$x - 1$

$x + 1$

$x - 3$

$x + 5$

Question 49 of 154 | Advanced Math · Level 3

The expression $\dfrac{x^{-2} y^{\dfrac{1}{2}}}{x^{\dfrac{1}{3}} y^{-1}}$, where $x > 1$ and $y > 1$, is equivalent to which of the following?

$\dfrac{\sqrt[3]{y}}{x^2}$

$\dfrac{y \sqrt[3]{y}}{x^2}$

$\dfrac{y \sqrt{y}}{x \sqrt{x}}$

$\dfrac{y \sqrt{y}}{x^2 \sqrt[3]{x}}$

Question 50 of 154 | Advanced Math · Level 3

The function $f$ is defined by $f(x) = (x + 3)(x + 1)$. The graph of $f$ in the $x y$-plane is a parabola. Which of the following intervals contains the $x$-coordinate of the vertex of the graph of $f$ ?

$-4 < x < -3$

$-3 < x < 1$

$1 < x < 3$

$3 < x < 4$

Question 51 of 154 | Advanced Math · Level 3

Which of the following expressions is equivalent to $\dfrac{x^2 - 2x - 5}{x - 3}$ ?

$x - 5 - \dfrac{20}{x - 3}$

$x - 5 - \dfrac{10}{x - 3}$

$x + 1 - \dfrac{8}{x - 3}$

$x + 1 - \dfrac{2}{x - 3}$

Question 52 of 154 | Algebra · Level 4

A shipping service restricts the dimensions of the boxes it will ship for a certain type of service. The restriction states that for boxes shaped like rectangular prisms, the sum of the perimeter of the base of the box and the height of the box cannot exceed $130$ inches. The perimeter of the base is determined using the width and length of the box. If a box has a height of $60$ inches and its length is $2.5$ times the width, which inequality shows the allowable width $x$, in inches, of the box?

$0 < x \leq 10$

$0 < x \leq 112$

Question 53 of 154 | Advanced Math · Level 4

The expression $\dfrac{1}{3} x^2 - 2$ can be rewritten as $\dfrac{1}{3}(x - k)(x + k)$, where $k$ is a positive constant. What is the value of $k$ ?

$\sqrt{2}$

$\sqrt{6}$

$2$

$6$

Question 54 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`

If $2x + 8 = 16$, what is the value of $x + 4$?

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`

In the figure above, $M N P Q R$ are points where $M Q$ and $N R$ intersect at point $P$, with one angle measuring $60°$ and another measuring $70°$, $N P = Q P$, and $M P = P R$. What is the measure, in degrees, of $\angle Q M R$? (Disregard the degree symbol when gridding your answer.)

Answer:

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

Question 56 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`

The number of radians in a $720$-degree angle can be written as $a \pi$, where $a$ is a constant. What is the value of $a$?

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`

The graph of a line in the $x y$-plane passes through the point $(1, 4)$ and crosses the $x$-axis at the point $(2, 0)$. The line crosses the $y$-axis at the point $(0, b)$. What is the value of $b$?

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`

$(7532 + 100 y^2) + 10(10 y^2 - 110)$ The expression above can be written in the form $a y^2 + b$, where $a$ and $b$ are constants. What is the value of $a + b$ ?

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 George Eliot, Silas Marner (1861). Silas was a weaver and a notorious miser, but then the gold he had hoarded was stolen. Shortly after, Silas adopted a young child, Eppie, the daughter of an impoverished woman who had died suddenly. The passage contrasts Silas's former attachment to his gold with the new life and love that Eppie brings him, describing how caring for her reawakens his senses, memories, and connection to nature and his neighbors.

Which choice best describes a major theme of the passage?

The corrupting influence of a materialistic society

The moral purity of young children

The bittersweet brevity of childhood naïveté

The restorative power of parental love

Question 60 of 154 | Information and Ideas · Level 1

As compared with Silas's gold, Eppie is portrayed as having more

vitality.

durability.

protection.

self-sufficiency.

Question 61 of 154 | Craft and Structure · Level 1

Which statement best describes a technique the narrator uses to represent Silas's character before he adopted Eppie?

The narrator emphasizes Silas's former obsession with wealth by depicting his gold as requiring certain behaviors on his part.

The narrator underscores Silas's former greed by describing his gold as seeming to reproduce on its own.

The narrator hints at Silas's former antisocial attitude by contrasting his present behavior toward his neighbors with his past behavior toward them.

The narrator demonstrates Silas's former lack of self-awareness by implying that he is unable to recall life before Eppie.

Question 62 of 154 | Craft and Structure · Level 1

The narrator uses the phrase "making trial of everything" (line
7) to present Eppie as

friendly.

curious.

disobedient.

judgmental.

Question 63 of 154 | Information and Ideas · Level 1

According to the narrator, one consequence of Silas adopting Eppie is that he

has renounced all desire for money.

better understands his place in nature.

seems more accepting of help from others.

looks forward to a different kind of future.

Question 64 of 154 | Information and Ideas · Level 1

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

Lines 9-11 ("The gold . . . itself")

Lines 11-16 ("but Eppie . . . years")

Lines 41-43 ("Then . . . stillness")

Lines 61-63 ("shapes . . . for")

Question 65 of 154 | Craft and Structure · Level 1

What function does the second paragraph (lines 30-52) serve in the passage as a whole?

It presents the particular moment at which Silas realized that Eppie was changing him.

It highlights Silas's love for Eppie by depicting the sacrifices that he makes for her.

It illustrates the effect that Eppie has on Silas by describing the interaction between them.

It reveals a significant alteration in the relationship between Silas and Eppie.

Question 66 of 154 | Information and Ideas · Level 2

In describing the relationship between Eppie and Silas, the narrator draws a connection between Eppie's

physical vulnerability and Silas's emotional fragility.

expanding awareness and Silas's increasing engagement with life.

boundless energy and Silas's insatiable desire for wealth.

physical growth and Silas's painful perception of his own mortality.

Question 67 of 154 | Information and Ideas · Level 2

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

Lines 1-9 ("Unlike . . . her")

Lines 30-41 ("And when . . . flowers")

Lines 46-48 ("Sitting . . . again")

Lines 53-57 ("As the . . . consciousness")

Question 68 of 154 | Craft and Structure · Level 2

As used in line 65, "fine" most nearly means

acceptable.

delicate.

ornate.

keen.

Question 69 of 154 | Craft and Structure · Level 2

The main purpose of the passage is to

examine the role of technology in workers’ lives during the last century.

advocate for better technology to enhance workplace conditions.

argue for changes in how technology is deployed in the workplace.

assess the impact of advancements in technology on overall job growth.

Question 70 of 154 | Information and Ideas · Level 2

According to Brynjolfsson and McAfee, advancements in technology since approximately the year 2000 have resulted in

low job growth in the United States.

global workplace changes.

more skilled laborers in the United States.

no global creation of new jobs.

Question 71 of 154 | Information and Ideas · Level 2

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

Lines 1-6 (“MIT . . . years”)

Lines 13-15 (“That . . . agent”)

Lines 21-23 (“And . . . countries”)

Lines 35-38 (“as businesses . . . jobs”)

Question 72 of 154 | Craft and Structure · Level 2

The primary purpose of lines 26-28 (“the amount . . . labor”) is to

describe a process.

highlight a dilemma.

clarify a claim.

explain a term.

Question 73 of 154 | Craft and Structure · Level 2

As used in line 35, “clear” most nearly means

pure.

keen.

untroubled.

unmistakable.

Question 74 of 154 | Information and Ideas · Level 2

Which of the following best characterizes Katz’s attitude toward “today’s digital technologies” (lines 81-82)?

He is alarmed about countries’ increasing reliance on them.

He is unconcerned about their effect on the economy.

He is uncertain how they might affect job growth.

He is optimistic that they will spur job creation to a degree not seen since the mid-nineteenth century.

Question 75 of 154 | Information and Ideas · Level 2

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

Lines 68-72 (“Katz . . . factories”)

Lines 73-75 (“While . . . jobs”)

Line 79 (“People come . . . do”)

Lines 91-92 (“If . . . happen”)

Question 76 of 154 | Craft and Structure · Level 3

As used in line 83, “range” most nearly means

region.

scope.

distance.

position.

Question 77 of 154 | Information and Ideas · Level 3

According to figure 1, which of the following years showed the widest gap between percentages of productivity and employment?

1987

1997

2007

2013

Question 78 of 154 | Information and Ideas · Level 3

Which statement is supported by figure 2?

The country with the greatest growth in output per manufacturing worker from 1960 to 1990 was Germany.

Japan experienced its smallest increase in output per manufacturing worker from 2000 to 2011.

Each of the three countries experienced an increase in its output per manufacturing worker from 1960 to 2011.

Of the three countries, the United States had the greatest output per manufacturing worker for each of the years shown.

Question 79 of 154 | Information and Ideas · Level 3

Which additional information, if presented in figure 2, would be most useful in evaluating the statement in lines 57-60 (“Productivity . . . jobs”)?

The median income of employees as it compares across all three countries in a single year

The number of people employed in factories from 1960 to 2011

The types of organizations at which output of employed persons was measured

The kinds of manufacturing tasks most frequently taken over by machines

Question 80 of 154 | Craft and Structure · Level 3

The main purpose of the passage is to

describe how squadrons of planes can save fuel by flying in a V formation.

discuss the effects of downdrafts on birds and airplanes.

explain research conducted to study why some birds fly in a V formation.

illustrate how birds sense air currents through their feathers.

Question 81 of 154 | Craft and Structure · Level 3

The author includes the quotation “Air gets pretty unpredictable behind a flapping wing” (lines 17-18) to

explain that the current created by a bird differs from that of an airplane.

stress the amount of control exerted by birds flying in a V formation.

indicate that wind movement is continuously changing.

emphasize that the flapping of a bird’s wings is powerful.

Question 82 of 154 | Information and Ideas · Level 3

What can reasonably be inferred about the reason Usherwood used northern bald ibises as the subjects of his study?

The ibises were well acquainted with their migration route.

Usherwood knew the ibises were familiar with carrying data loggers during migration.

The ibises have a body design that is similar to that of a modern airplane.

The ibises were easily accessible for Usherwood and his team to track and observe.

Question 83 of 154 | Information and Ideas · Level 3

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

Lines 3-7 (“A new . . . flight”)

Lines 10-12 (“Squadrons . . . same”)

Lines 22-24 (“The study . . . Europe”)

Lines 29-31 (“The device’s . . . flaps”)

Question 84 of 154 | Craft and Structure · Level 3

What is the most likely reason the author includes the 30 cm measurement in line 30?

To demonstrate the accuracy with which the data loggers collected the data

To present recorded data about how far an ibis flies between successive wing flaps

To provide the wingspan length of a juvenile ibis

To show how far behind the microlight plane each ibis flew

Question 85 of 154 | Information and Ideas · Level 3

What does the author imply about pelicans, storks, and geese flying in a V formation?

They communicate with each other in the same way as do ibises.

They have the same migration routes as those of ibises.

They create a similar wake to that of ibises.

They expend more energy than do ibises.

Question 86 of 154 | Information and Ideas · Level 3

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

Lines 35-38 (“When . . . body”)

Lines 47-48 (“Smaller . . . difficult”)

Lines 52-54 (“Previous . . . a V”)

Lines 66-67 (“Alternatively . . . resistance”)

Question 87 of 154 | Information and Ideas · Level 3

What is a main idea of the seventh paragraph (lines 62-73)?

Different types of hierarchies exist in each flock of birds.

Mistakes can happen when long-winged birds create a V formation.

Future research will help scientists to better understand V formations.

Long-winged birds watch the lead bird closely to keep a V formation intact.

Question 88 of 154 | Craft and Structure · Level 3

The author uses the phrase “aerodynamic sweet spot” in line 63 most likely to

describe how the proper structural design of an airplane helps to save fuel.

show that flying can be an exhilarating experience.

describe the birds’ synchronized wing movement.

suggest that a certain position in a V formation has the least amount of wind resistance.

Question 89 of 154 | Craft and Structure · Level 3

As used in line 72, “ripple” most nearly means

fluctuate.

spread.

wave.

undulate.

Question 90 of 154 | Craft and Structure · Level 3

As used in line 9, “raise” most nearly means

increase.

cultivate.

nurture.

elevate.

Question 91 of 154 | Information and Ideas · Level 3

In Passage 1, Tocqueville implies that treatment of men and women as identical in nature would have which consequence?

Neither sex would feel oppressed.

Both sexes would be greatly harmed.

Men would try to reclaim their lost authority.

Men and women would have privileges they do not need.

Question 92 of 154 | Information and Ideas · Level 3

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

Lines 15-18 (“There . . . alike”)

Lines 18-20 (“They . . . rights”)

Lines 22-24 (“It may . . . degraded”)

Lines 27-29 (“It is . . . sexes”)

Question 93 of 154 | Craft and Structure · Level 3

As used in line 53, “dominion” most nearly means

omnipotence.

supremacy.

ownership.

territory.

Question 94 of 154 | Information and Ideas · Level 4

In Passage 2, Mill most strongly suggests that gender roles are resistant to change because they

have long served as the basis for the formal organization of society.

are matters of deeply entrenched tradition.

can be influenced by legislative reforms only indirectly.

benefit the groups and institutions currently in power.

Question 95 of 154 | Information and Ideas · Level 4

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

Lines 43-44 (“As society . . . basis”)

Lines 46-49 (“two . . . other”)

Lines 58-61 (“in proportion . . . associated”)

Lines 67-69 (“employments . . . them”)

Question 96 of 154 | Craft and Structure · Level 4

Both authors would most likely agree that the changes in gender roles that they describe would be

part of a broad social shift toward greater equality.

unlikely to provide benefits that outweigh their costs.

inevitable given the economic advantages of gender equality.

at odds with the principles of American democracy.

Question 97 of 154 | Craft and Structure · Level 4

Tocqueville in Passage 1 would most likely characterize the position taken by Mill in lines 65-69 in Passage 2 (“Let . . . them”) as

less radical about gender roles than it might initially seem.

persuasive in the abstract but difficult to implement in practice.

ill-advised but consistent with a view held by some other advocates of gender equality.

compatible with economic progress in the United States but not in Europe.

Question 98 of 154 | Craft and Structure · Level 4

Which choice best describes the ways that the two authors conceive of the individual’s proper position in society?

Tocqueville believes that an individual’s position should be defined in important ways by that individual’s sex, while Mill believes that an individual’s abilities should be the determining factor.

Tocqueville believes that an individual’s economic class should determine that individual’s position, while Mill believes that class is not a legitimate consideration.

Tocqueville believes that an individual’s temperament should determine that individual’s position, while Mill believes that temperament should not be a factor in an individual’s position.

Tocqueville believes that an individual’s position should be determined by what is most beneficial to society, while Mill believes it should be determined by what an individual finds most rewarding.

Question 99 of 154 | Craft and Structure · Level 4

Based on Passage 2, Mill would most likely say that the application of the “great principle of political economy” (lines 38-39, Passage
1) to gender roles has which effect?

It prevents many men and women from developing to their full potential.

It makes it difficult for men and women to sympathize with each other.

It unintentionally furthers the cause of gender equality.

It guarantees that women take occupations that men are better suited to perform.

Question 100 of 154 | Craft and Structure · Level 4

Over the course of the passage, the main focus shifts from

a technical account of the Higgs field to a description of it aimed at a broad audience.

a review of Higgs's work to a contextualization of that work within Higgs's era.

an explanation of the Higgs field to a discussion of the response to Higgs's theory.

an analysis of the Higgs field to a suggestion of future discoveries that might build upon it.

Question 101 of 154 | Craft and Structure · Level 4

The main purpose of the analogy of the ping-pong ball (line 40) is to

popularize a little-known fact.

contrast competing scientific theories.

criticize a widely accepted explanation.

clarify an abstract concept.

Question 102 of 154 | Information and Ideas · Level 4

The author most strongly suggests that the reason the scientific community initially rejected Higgs's idea was that the idea

addressed a problem unnoticed by other physicists.

only worked if the equations were flawless.

rendered accepted theories in physics obsolete.

appeared to have little empirical basis.

Question 103 of 154 | Information and Ideas · Level 4

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

Lines 30-32 ("Instead . . . environment")

Lines 46-48 ("In 1964 . . . mathematically")

Lines 48-53 ("Not . . . speculation")

Lines 67-70 ("The physics . . . space")

Question 104 of 154 | Information and Ideas · Level 5

The author notes that one reason Higgs's theory gained acceptance was that it

let scientists accept two conditions that had previously seemed irreconcilable.

introduced an innovative approach that could be applied to additional problems.

answered a question that earlier scientists had not even raised.

explained why two distinct phenomena were being misinterpreted as one phenomenon.

Question 105 of 154 | Information and Ideas · Level 5

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

Lines 36-39 ("Push . . . mass")

Lines 43-45 ("Its interaction . . . field")

Lines 55-63 ("But . . . environment")

Lines 78-83 ("On occasion . . . them")

Question 106 of 154 | Craft and Structure · Level 5

Which statement best describes the technique the author uses to advance the main point of the last paragraph?

He recounts a personal experience to illustrate a characteristic of the discipline of physics.

He describes his own education to show how physics has changed during his career.

He provides autobiographical details to demonstrate how Higgs's theory was confirmed.

He contrasts the status of Higgs's theory at two time periods to reveal how the details of the theory evolved.

Question 107 of 154 | Craft and Structure · Level 5

As used in line 77, "established" most nearly means

validated.

founded.

introduced.

enacted.

Question 108 of 154 | Information and Ideas · Level 5

What purpose does the graph serve in relation to the passage as a whole?

It indicates that the scientific community's quick acceptance of the Higgs boson was typical.

It places the discussion of the reception of the Higgs boson into a broader scientific context.

It demonstrates that the Higgs boson was regarded differently than were other hypothetical particles.

It clarifies the ways in which the Higgs boson represented a major discovery.

Question 109 of 154 | Information and Ideas · Level 5

Which statement is best supported by the data presented in the graph?

The W boson and the Z boson were proposed and experimentally confirmed at about the same time.

The Higgs boson was experimentally confirmed more quickly than were most other particles.

The tau neutrino was experimentally confirmed at about the same time as the tau.

The muon neutrino took longer to experimentally confirm than did the electron neutrino.

Question 110 of 154 | Information and Ideas · Level 5

Based on the graph, the author's depiction of Higgs's theory in the mid-1980s is most analogous to which hypothetical situation?

The muon neutrino was widely disputed until being confirmed in the early 1960s.

Few physicists in 2012 doubted the reality of the tau neutrino.

No physicists prior to 1960 considered the possibility of the W or Z boson.

Most physicists in 1940 believed in the existence of the electron neutrino.

Question 111 of 154 | Standard English Conventions · Level 1

The National Aeronautics and Space Administration (NASA) is a US government agency whose budget is frequently many times contested.

NO CHANGE

oftentimes

repeatedly

DELETE the underlined portion.

Question 112 of 154 | Standard English Conventions · Level 1

Many people think of NASA's programs as trivial. In truth, the agency has a widespread positive effect on society by serving as a catalyst for innovation and scientific understanding,

NO CHANGE

affect on

effect to

affects on

Question 113 of 154 | Standard English Conventions · Level 1

In truth, the agency has a widespread positive effect on society by serving as a catalyst for innovation and scientific understanding, to create jobs, and showing humanity its place within the universe.

NO CHANGE

creating jobs,

for job creation,

the creation of jobs,

Question 114 of 154 | Standard English Conventions · Level 1

But by initiating and collaborating on projects such as the Apollo Moon missions, the space shuttle program, the Hubble Space Telescope, and unmanned planetary exploration, NASA has continually challenged its scientists and engineers to do things that were previously thought impossible.

NO CHANGE

Telescope; and

Telescope and;

Telescope and,

Question 115 of 154 | Expression of Ideas · Level 1

All along, these NASA projects have greatly increased international cooperation. A short list of inventions elaborated by NASA includes communications satellites, invisible braces, and cordless tools.

Which choice most effectively sets up the list of examples that follows in the next sentence?

NO CHANGE

garnered national publicity for the agency.

generated a steady stream of new technology.

made a lot of money for the agency.

Question 116 of 154 | Writing · Level 1

A short list of inventions elaborated by NASA includes communications satellites, invisible braces, and cordless tools.

NO CHANGE

evolved

developed

progressed

Question 117 of 154 | Standard English Conventions · Level 2

All these inventions spawns new industries, and with those industries, jobs.

NO CHANGE

spawned

has spawned

spawning

Question 118 of 154 | Standard English Conventions · Level 2

NO CHANGE

which came

to come

came

Question 119 of 154 | Expression of Ideas · Level 2

[1] A report by the Space Foundation estimated that NASA contributed \$180 billion to the economy in 2005. [2] More than 60 percent of the contribution coming from commercial goods and services created by companies using space-related technology. [3] This translates as excellent returns from an agency that received approximately 17.7 billion in tax dollars in 2014. [4] This investment by taxpayers enhances not only the national economy but also the United States' competitiveness in the international market. [5] Moreover, the benefits of NASA funding extend beyond the purely economic, as astrophysicist Neil deGrasse Tyson indicated in his testimony before the US Senate.

To make this paragraph most logical, sentence 1 should be placed

where it is now.

after sentence 2.

after sentence 3.

after sentence 4.

Question 120 of 154 | Expression of Ideas · Level 2

With world population topping seven billion, humanity is in need of some perspective. At this point, the writer is considering adding the following sentence. In addition, NASA has facilities in Washington, DC, Florida, Texas, California, and other states.

Should the writer make this addition here?

Yes, because it serves as a counterargument to the quotation from astrophysicist Neil deGrasse Tyson.

Yes, because it reinforces the passage's point about the importance of NASA's work.

No, because it undermines the passage's claim about the economic benefits of NASA's work.

No, because it blurs the paragraph's focus by introducing information that does not support the paragraph's claim about the importance of NASA's work.

Question 121 of 154 | Expression of Ideas · Level 2

Transitional word choice in the passage.

NO CHANGE

Instead,

For example,

However,

Question 122 of 154 | Standard English Conventions · Level 2

New theories, 12 new practices too, and technologies are transforming the twenty-first-century workplace at lightning speed.

NO CHANGE

also new practices,

in addition to practices,

practices,

Question 123 of 154 | Standard English Conventions · Level 2

To perform their jobs successfully in this dynamic environment, workers in many 13 fields—from social services to manufacturing, must continually acquire relevant knowledge and update key skills.

NO CHANGE

fields

fields,

fields;

Question 124 of 154 | Expression of Ideas · Level 2

This practice of continued education, also known as professional development, benefits not only employees but also their employers. 14 Accordingly, meaningful professional development is a shared responsibility.

NO CHANGE

Nevertheless,

Regardless,

Similarly,

Question 125 of 154 | Writing · Level 3

Which choice best establishes the argument that follows? Critics of employer-provided professional development argue that employees 15 might consider a popular career path. If employees find themselves falling behind in the workplace, these critics contend, then it is the duty of those employees to identify, and even pay for, appropriate resources.

NO CHANGE

should lean heavily on their employers.

must be in charge of their own careers.

will be ready for changes in the job market.

Question 126 of 154 | Standard English Conventions · Level 3

If employees find themselves falling behind in the workplace, these critics 16 contend. Then it is the duty of those employees to identify, and even pay for, appropriate resources.

NO CHANGE

contend; then

contend then

contend, then

Question 127 of 154 | Expression of Ideas · Level 3

it is the duty of those employees to identify, and even pay for, appropriate resources to 17 show them how and why they are falling behind and what they should do about it.

NO CHANGE

address their deficiencies.

deal with their flaws and shortcomings.

allow them to meet their employers' needs in terms of the knowledge they are supposed to have.

Question 128 of 154 | Expression of Ideas · Level 3

Forward-thinking employers recognize the importance of investing in the employees they have rather than hiring new staff when the skills of current workers 18 get old and worn out.

NO CHANGE

are no good anymore.

become obsolete.

have lost their charm.

Question 129 of 154 | Standard English Conventions · Level 3

The most common forms of professional development provided to employees 19 includes coaching, mentoring, technical assistance, and workshops.

NO CHANGE

include

including

has included

Question 130 of 154 | Expression of Ideas · Level 3

Some employers utilize several approaches simultaneously, developing a framework that suits the particular needs of their employees. 20 Around the same time, the figure illustrates a simple yet comprehensive professional-development model created for special education personnel.

NO CHANGE

Besides that,

Nevertheless,

DELETE the underlined portion and begin the sentence with a capital letter.

Question 131 of 154 | Information and Ideas · Level 3

Which choice makes the writer's description of the figure most accurate? The Professional-Development Framework figure shows coaching and consultation as the overarching framework, with professional networks and foundation and skill-building workshops within it. As the figure suggests, 21 receiving coaching and consultation is the overarching framework, while the opportunity to belong to professional networks and participate in activities such as foundation and skill-building workshops is relatively unimportant.

NO CHANGE

participation in foundation and skill-building workshops is the overarching framework within which staff receive coaching and consultation as well as the opportunity to belong to a professional network.

membership in a professional network is the overarching framework within which staff receive coaching and consultation as well as the opportunity to attend foundation and skill-building workshops.

receiving coaching and consultation is the overarching framework within which staff have the opportunity to belong to a professional network as well as attend foundation and skill-building workshops.

Question 132 of 154 | Standard English Conventions · Level 3

Employers can also 22 identify, which employees have successfully completed instructional modules and which need to be offered additional training.

NO CHANGE

identify:

identify

identify—

Question 133 of 154 | Expression of Ideas · Level 3

In 1986, McDonald's caused a stir in Italy when it opened a restaurant next to Rome's historic Spanish Steps. Young, on-the-go eaters were thrilled; specifically, those who prized regional foods and Italy's convivial culture built on cooking and long meals feared that the restaurant signaled the death of a way of life.

NO CHANGE

for example,

however,

in fact,

Question 134 of 154 | Standard English Conventions · Level 3

To counter the rise of fast food and fast life, a cohort of chefs, journalists, and sociologists spearheaded a Slow Food movement, declaring loyalty to unhurried enjoyment.

NO CHANGE

life; a

life: a

life. A

Question 135 of 154 | Expression of Ideas · Level 3

At this point, the writer is considering adding the following sentence. "The group's philosophy was connected to the tale of the hare and the tortoise, in which the tortoise wins the race." Should the writer make this addition here?

Yes, because it explains the primary belief that led to the development of the Slow Food movement.

Yes, because it reinforces a claim that the writer makes earlier in the paragraph.

No, because it blurs the paragraph's focus by introducing a new idea that is not clearly explained.

No, because it distracts from the paragraph's emphasis on the Slow Food movement's origins and beliefs.

Question 136 of 154 | Standard English Conventions · Level 3

From its beginning, the movement had opposed the standardization of taste that fast food chains promote.

NO CHANGE

opposes

will oppose

has opposed

Question 137 of 154 | Standard English Conventions · Level 3

A goat ingests the vegetation particular to the meadow in which it grazes, which, along with other environmental factors such as altitude and weather shapes the cheese's taste and texture.

NO CHANGE

factors, such as altitude and weather,

factors such as, altitude and weather,

factors, such as altitude and weather

Question 138 of 154 | Writing · Level 3

Which choice most effectively supports the central point of the paragraph? "If all foods were produced under the industrial model, we would have meals that are not very flavorful."

NO CHANGE

the public would not be interested in learning about traditional foods.

people would not be able to determine how a particular food was made.

consumers would lose this diversity of flavors.

Question 139 of 154 | Standard English Conventions · Level 3

During their early years, the movement also focused on the value of spending lots of time with friends and family during long meals.

NO CHANGE

there

its

it's

Question 140 of 154 | Expression of Ideas · Level 3

During its early years, the movement also focused on the value of spending lots of time with friends and family during long meals.

NO CHANGE

leisurely meals with friends and family.

eating slowly and in the company of loved ones such as friends and family.

joining friends as well as family for time-consuming meals.

Question 141 of 154 | Craft and Structure · Level 4

As the movement grew beyond Italy's borders—today Slow Food International boasts more than 100,000 members in 150 countries—this emphasis on pleasure pictured criticism for being elitist.

NO CHANGE

portrayed

drew

sketched

Question 142 of 154 | Standard English Conventions · Level 4

Critics have also asked if growing food using traditional methods, as opposed to mass production, can adequately and affordably feed the world?

NO CHANGE

adequately and affordably can feed the world?

can adequately and affordably feed the world.

adequately and affordably can feed the world.

Question 143 of 154 | Expression of Ideas · Level 4

Members assert that food should be flavorful, carrying the properties of a particular region; it should be raised using environmentally sustainable practices that preserve biodiversity; and it should be accessible to all without exploiting the labors of those who produced it. In short, Slow Food runs programs that support small-scale producers in marketing regional foods in a world where food corporations threaten to drive them out of the marketplace and homogenize food choices.

NO CHANGE

Nonetheless,

To these ends,

By the same token,

Question 144 of 154 | Standard English Conventions · Level 4

Which choice best maintains the conventions of standard written English in the underlined portion referring to the headline in the New York Times?

NO CHANGE

headline in the New York Times, declared

headline, in the New York Times declared,

headline, in the New York Times, declared

Question 145 of 154 | Expression of Ideas · Level 4

The writer wants to add a supporting detail to indicate that the story was widely reported. Which choice best accomplishes this goal?

NO CHANGE

Other newspapers also ran stories claiming that the broadcast had incited mass hysteria.

In 2013, many newspapers and magazines featured articles about the seventy-fifth anniversary of the broadcast.

The Times was then and is now one of the United States’ most popular news sources.

Question 146 of 154 | Standard English Conventions · Level 4

Which choice best maintains the conventions of standard written English in the underlined portion?

NO CHANGE

that feared

fearing

to fear

Question 147 of 154 | Standard English Conventions · Level 4

Which choice best maintains the conventions of standard written English in the underlined portion?

NO CHANGE

as far

as far and

so far as

Question 148 of 154 | Expression of Ideas · Level 4

At this time, Jefferson Pooley and Michael Socolow, both professors of communication studies, argue that the newspaper industry sought to discredit the newly emerging technology of radio, which was cutting into newspapers’ profits. Which choice best introduces the underlined portion at the start of this sentence?

NO CHANGE

On one hand,

In the article,

Next,

Question 149 of 154 | Expression of Ideas · Level 5

Which choice most effectively combines the sentences at the underlined portion ("...radio, which was cutting into newspapers’ profits. The newspaper industry tried to do this by portraying the new medium as irresponsible.")?

profits, which is what the newspaper industry tried to do when it portrayed

profits, by which the newspaper industry portrayed

profits and tried to do this by portraying

profits, by portraying

Question 150 of 154 | Expression of Ideas · Level 5

Considering the sentence "Proof of ulterior motives is scarce, ___," which choice best establishes the main idea of the paragraph?

NO CHANGE

but evidence does suggest that reports of panic have been overblown.

yet Pooley and Socolow maintain that the newspaper industry intentionally distorted the story.

making it difficult to determine what really happened in 1938.

Question 151 of 154 | Standard English Conventions · Level 5

Ratings, however, reveal that ___ a million people had been listening to the broadcast. Which choice best maintains the conventions of standard written English in the underlined portion?

NO CHANGE

many less than

much less then

much fewer then

Question 152 of 154 | Expression of Ideas · Level 5

To make this paragraph most logical, sentence 4 ("Just because some people found the broadcast unsettling, the authors contend, doesn’t mean they believed it and reacted with real terror.") should be placed

where it is now.

after sentence 2.

after sentence 5.

after sentence 7.

Question 153 of 154 | Standard English Conventions · Level 5

Most people who heard the broadcast understood they were listening to a piece of fiction, but ___ influenced by the sensationalized news coverage afterward, later “remembered” being more afraid than they had been. Which choice best maintains the conventions of standard written English in the underlined portion?

NO CHANGE

some, they were

some,

some

Question 154 of 154 | Expression of Ideas · Level 5

The researchers also suggest that, ___ people who got caught up in the excitement of the story when reading about it in the newspaper, the American public may have been willing to embrace the legend. Which choice most effectively signals the comparison the writer is making between the two groups mentioned?

NO CHANGE

unlike

not like

different from

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