SAT P8 - Prac

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

One pound of grapes costs \$2. At this rate, how many dollars will $c$ pounds of grapes cost?

$\dfrac{c}{2}$

$c + 2$

$2 c$

$\dfrac{2}{c}$

Question 2 of 154 | Statistics · Level 1

Tracy collects, sells, and trades figurines, and she tracks the number of figurines in her collection on the graph below, which shows the number of figurines versus time in months. On what interval did the number of figurines decrease the fastest?

Between $1$ and $2$ months

Between $2$ and $3$ months

Between $3$ and $4$ months

Between $4$ and $5$ months

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

In a random sample of $200$ cars of a particular model, $3$ have a manufacturing defect. At this rate, how many of 10,000 cars of the same model will have a manufacturing defect?

$150$

$200$

$250$

$300$

Question 4 of 154 | Statistics · Level 1

The scatterplot above shows data collected on the lengths and widths of Iris setosa petals. A line of best fit for the data, $y = 1.67 x + 21.1$, is also shown. Based on the line of best fit, if the width of an Iris setosa petal is $19$ millimeters, what is the predicted length, in millimeters, of the petal?

$21.10$

$31.73$

$52.83$

$55.27$

Question 5 of 154 | Geometry · Level 1

In the figure above, lines $\ell$ and $m$ are parallel, $y = 20$, and $z = 60$. What is the value of $x$? (Note: Figure not drawn to scale.)

$120$

$100$

$90$

$80$

Question 6 of 154 | Algebra · Level 2

Two types of tickets were sold for a concert held at an amphitheater. Tickets to sit on a bench during the concert cost \$75 each, and tickets to sit on the lawn during the concert cost \$40 each. Organizers of the concert announced that $350$ tickets had been sold and that \$19,250 had been raised through ticket sales alone. Which of the following systems of equations could be used to find the number of tickets for bench seats, $B$, and the number of tickets for lawn seats, $L$, that were sold for the concert?

$(75 B)(40 L) =$ 1,950 and $B + L = 350$

$40 B + 75 L =$ 19,250 and $B + L = 350$

$75 B + 40 L = 350$ and $B + L =$ 19,250

$75 B + 40 L =$ 19,250 and $B + L = 350$

Question 7 of 154 | Algebra · Level 2

In the $x y$-plane, the graph of which of the following equations is a line with a slope of $3$?

$y = \dfrac{1}{3} x$

$y = x - 3$

$y = 3 x + 2$

$y = 6 x + 3$

Question 8 of 154 | Advanced Math · Level 2

Given the equation $\dfrac{x}{x + 1} = \dfrac{2}{x + 1}$, which of the following is a possible value of $x + 1$?

$1 - \sqrt{2}$

$\sqrt{2}$

$2$

$4$

Question 9 of 154 | Advanced Math · Level 2

Questions 9-11 refer to the following information. The glass pictured above can hold a maximum volume of $473$ cubic centimeters, which is approximately $16$ fluid ounces. The volume of the glass, in cubic centimeters, is given by Volume $= \dfrac{7 \pi k^3}{48}$. What is the value of $k$, in centimeters?

$2.52$

$7.67$

$7.79$

$10.11$

Question 10 of 154 | Advanced Math · Level 2

Water pours into the glass described above slowly and at a constant rate. Which of the following graphs best illustrates the height of the water level in the glass as it fills?

Graph A: height of water level versus time

Graph B: height of water level versus time

Graph C: height of water level versus time

Graph D: height of water level versus time

Question 11 of 154 | Ratios, Rates and Percentages · Level 2

Jenny has a pitcher that contains $1$ gallon of water. How many times could Jenny completely fill the glass described above with $1$ gallon of water? ($1$ gallon $= 128$ fluid ounces)

$16$

$8$

$4$

$3$

Question 12 of 154 | Algebra · Level 2

Roberto is an insurance agent who sells two types of policies: a \$50,000 policy and a \$100,000 policy. Last month, his goal was to sell at least $57$ insurance policies. While he did not meet his goal, the total value of the policies he sold was over \$3,000,000. Which of the following systems of inequalities describes $x$, the possible number of \$50,000 policies, and $y$, the possible number of \$100,000 policies, that Roberto sold last month?

$x + y < 57$ and 50,000$x$ + 100,000$y$ $<$ 3,000,000

$x + y > 57$ and 50,000$x$ + 100,000$y$ $>$ 3,000,000

$x + y < 57$ and 50,000$x$ + 100,000$y$ $>$ 3,000,000

$x + y > 57$ and 50,000$x$ + 100,000$y$ $<$ 3,000,000

Question 13 of 154 | Advanced Math · Level 3

If $a^x = -\dfrac{1}{2}$, where $a > 0$, what is $a$ in terms of $x$?

$x$

$x^{-1}$

$x^{\dfrac{1}{2}}$

$x^{-\dfrac{1}{2}}$

Question 14 of 154 | Advanced Math · Level 3

Which of the following is a value of $x$ for which the expression $\dfrac{x}{x^2 + 3x - 10}$ is undefined?

$-3$

$-2$

$0$

$2$

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

A granite block in the shape of a right rectangular prism has dimensions $30$ centimeters by $40$ centimeters by $50$ centimeters. The block has a density of $2.8$ grams per cubic centimeter. What is the mass of the block, in grams? (Density is mass per unit volume.)

$336$

3,360

16,800

168,000

Question 16 of 154 | Probability · Level 3

The table below shows the results of a research study that investigated the therapeutic value of vitamin C in preventing colds. Number of Adults Contracting Colds — Vitamin C: Cold $21$, No cold $129$, Total $150$; Sugar pill: Cold $33$, No cold $117$, Total $150$; Total: Cold $54$, No cold $246$, Total $300$. A random sample of $300$ adults received either a vitamin C pill or a sugar pill each day during a $2$-week period, and the adults reported whether they contracted a cold during that time period. What proportion of adults who received a sugar pill reported contracting a cold?

$\dfrac{11}{18}$

$\dfrac{11}{50}$

$\dfrac{9}{50}$

$\dfrac{11}{100}$

Question 17 of 154 | Statistics · Level 3

The table below shows the distribution of ages of the $20$ students enrolled in a college class. Age (Frequency): $18$ ($6$), $19$ ($5$), $20$ ($4$), $21$ ($2$), $22$ ($1$), $23$ ($1$), $30$ ($1$). Which of the following gives the correct order of the mean, median, and mode of the ages?

mode $<$ median $<$ mean

mode $<$ mean $<$ median

median $<$ mode $<$ mean

mean $<$ mode $<$ median

Question 18 of 154 | Statistics · Level 3

The figure shows the relationship between the percent of leaf litter mass remaining after decomposing for $3$ years and the mean annual temperature, in degrees Celsius (°C), in $18$ forests in Canada. A line of best fit is also shown. A particular forest in Canada, whose data is not included in the figure, had a mean annual temperature of $-2$°C. Based on the line of best fit, which of the following is closest to the predicted percent of leaf litter mass remaining in this particular forest after decomposing for $3$ years?

$50%$

$63%$

$70%$

$82%$

Question 19 of 154 | Advanced Math · Level 3

The range of the polynomial function $f$ is the set of real numbers less than or equal to $4$. If the zeros of $f$ are $-3$ and $1$, which of the following could be the graph of $y = f(x)$ in the $x y$-plane?

Graph A

Graph B

Graph C

Graph D

Question 20 of 154 | Algebra · Level 3

The average annual energy cost for a certain home is \$4,334. The homeowner plans to spend \$25,000 to install a geothermal heating system. The homeowner estimates that the average annual energy cost will then be \$2,712. Which of the following inequalities can be solved to find $t$, the number of years after installation at which the total amount of energy cost savings will exceed the installation cost?

\$25,000 > (4,334 - 2,712)t$

\$25,000 < (4,334 - 2,712)t$

\$25,000 - 4,334 > 2,712t$

\$25,000 > 4,332 / 2,712 t$

Question 21 of 154 | Statistics · Level 3

Between 1985 and 2003, data were collected every three years on the amount of plastic produced annually in the United States, in billions of pounds. The graph shows the data and a line of best fit. The equation of the line of best fit is $y = 3.39x + 46.89$, where $x$ is the number of years since 1985 and $y$ is the amount of plastic produced annually, in billions of pounds. Which of the following is the best interpretation of the number $3.39$ in the context of the problem?

The amount of plastic, in billions of pounds, produced in the United States during the year 1985

The number of years it took the United States to produce $1$ billion pounds of plastic

The average annual plastic production, in billions of pounds, in the United States from 1985 to 2003

The average annual increase, in billions of pounds, of plastic produced per year in the United States from 1985 to 2003

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

Between 1985 and 2003, the amount of plastic produced annually in the United States, in billions of pounds, is modeled by the line of best fit $y = 3.39x + 46.89$, where $x$ is the number of years since 1985. Which of the following is closest to the percent increase in the billions of pounds of plastic produced in the United States from 2000 to 2003?

$10%$

$44%$

$77%$

$110%$

Question 23 of 154 | Advanced Math · Level 3

The equation $M = 1,800(1.02)^t$ models the number of members, $M$, of a gym $t$ years after the gym opens. Of the following, which equation models the number of members of the gym $q$ quarter years after the gym opens?

$M = 1,800(1.02)^{4q}$

$M = 1,800(1.02)^{\dfrac{q}{4}}$

$M = 1,800(1.005)^{\dfrac{q}{4}}$

$M = 1,800(1.082)^q$

Question 24 of 154 | Statistics · Level 3

For the finale of a TV show, viewers could use either social media or a text message to vote for their favorite of two contestants. The contestant receiving more than $50%$ of the vote won. An estimated $10%$ of the viewers voted, and $30%$ of the votes were cast on social media. Contestant 2 earned $70%$ of the votes cast using social media and $40%$ of the votes cast using a text message. Based on this information, which of the following is an accurate conclusion?

If all viewers had voted, Contestant 2 would have won.

Viewers voting by social media were likely to be younger than viewers voting by text message.

If all viewers who voted had voted by social media instead of by text message, Contestant 2 would have won.

Viewers voting by social media were more likely to prefer Contestant 2 than were viewers voting by text message.

Question 25 of 154 | Algebra · Level 3

The table above shows the population of Greenleaf, Idaho, for the years 2000 and 2010. The population in 2000 was 862 and in 2010 was 846. If the relationship between population and year is linear, which of the following functions $P$ models the population of Greenleaf $t$ years after 2000?

$P(t) = 862 - 1.6t$

$P(t) = 862 - 16t$

$P(t) = 862 + 16(t - 2000)$

$P(t) = 862 - 1.6(t - 2000)$

Question 26 of 154 | Statistics · Level 3

To determine the mean number of children per household in a community, Tabitha surveyed 20 families at a playground. For the 20 families surveyed, the mean number of children per household was 2.4. Which of the following statements must be true?

The mean number of children per household in the community is 2.4.

A determination about the mean number of children per household in the community should not be made because the sample size is too small.

The sampling method is flawed and may produce a biased estimate of the mean number of children per household in the community.

The sampling method is not flawed and is likely to produce an unbiased estimate of the mean number of children per household in the community.

Question 27 of 154 | Algebra · Level 4

In the $x y$-plane, the point $(p, r)$ lies on the line with equation $y = x + b$, where $b$ is a constant. The point with coordinates $(2p, 5r)$ lies on the line with equation $y = 2x + b$. If $p \neq 0$, what is the value of $\dfrac{r}{p}$?

$\dfrac{2}{5}$

$\dfrac{3}{4}$

$\dfrac{4}{3}$

$\dfrac{5}{2}$

Question 28 of 154 | Statistics · Level 4

The 22 students in a health class conducted an experiment in which they each recorded their pulse rates, in beats per minute, before and after completing a light exercise routine. The dot plots above display the results. Let $s_1$ and $r_1$ be the standard deviation and range, respectively, of the data before exercise, and let $s_2$ and $r_2$ be the standard deviation and range, respectively, of the data after exercise. Which of the following is true?

$s_1 = s_2$ and $r_1 = r_2$

$s_1 < s_2$ and $r_1 < r_2$

$s_1 > s_2$ and $r_1 > r_2$

$s_1 \neq s_2$ and $r_1 = r_2$

Question 29 of 154 | Algebra · Level 4

A photocopy machine is initially loaded with 5,000 sheets of paper. The machine starts a large job and copies at a constant rate. After 20 minutes, it has used 30% of the paper. Which of the following equations models the number of sheets of paper, $p$, remaining in the machine $m$ minutes after the machine started printing?

$p = 5000 - 20m$

$p = 5000 - 75m$

$p = 5000(0.3)^{\dfrac{m}{20}}$

$p = 5000(0.7)^{\dfrac{m}{20}}$

Question 30 of 154 | Advanced Math · Level 4

The complete graph of the function $f$ and a table of values for the function $g$ are shown above. The maximum value of $f$ is $k$. What is the value of $g(k)$?

$7$

$6$

$3$

$0$

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`

There are two atoms of hydrogen and one atom of oxygen in one molecule of water. How many atoms of hydrogen are there in 51 molecules of water?

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`

If $x = 1$ in the equation above, what is the value of $a$?

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`

In the $x y$-plane, the equations $\dfrac{x}{y} + 2 = 10$ and $3 \cdot \left(\dfrac{x}{y}\right) + 6 = c$ represent the same line for some constant $c$. What is the value of $c$?

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`

On April 18, 1775, Paul Revere set off on his midnight ride from Charlestown to Lexington. If he had ridden straight to Lexington without stopping, he would have traveled $11$ miles in $26$ minutes. In such a ride, what would the average speed of his horse have been, to the nearest tenth of a mile per hour?

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`

The graph of the function $f$, defined by $f(x) = -\dfrac{1}{2} (x - 4)^2 + 10$, is shown in the $x y$-plane above. If the function $g$ (not shown) is defined by $g(x) = -x + 10$, what is one possible value of $a$ such that $f(a) = g(a)$?

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 triangle $R S T$ above, $R S = 5$ and $S T = 12$. Point $W$ (not shown) lies on $R T$. What is the value of $\cos(\angle R S W) - \sin(\angle W S T)$?

Answer:

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

Question 37 of 154 | Ratios, Rates and Percentages · Level 5

Student-produced response directions

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

Examples

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

When a patient receives a penicillin injection, the kidneys begin removing the penicillin from the body. The table shows the penicillin concentration in a patient's bloodstream at 5-minute intervals for the 20 minutes immediately following a one-time penicillin injection: at $0$ minutes the concentration is $200$ micrograms per milliliter, at $5$ minutes it is $152$, at $10$ minutes it is $118$, at $15$ minutes it is $93$, and at $20$ minutes it is $74$. According to the table, how many more micrograms of penicillin are present in $10$ milliliters of blood drawn from the patient $5$ minutes after the injection than are present in $8$ milliliters of blood drawn $10$ minutes after the injection?

Answer:

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

Question 38 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`

When a patient receives a penicillin injection, the kidneys begin removing the penicillin from the body. The table shows the penicillin concentration in a patient's bloodstream at 5-minute intervals for the 20 minutes immediately following a one-time penicillin injection: at $0$ minutes the concentration is $200$ micrograms per milliliter, at $5$ minutes it is $152$, at $10$ minutes it is $118$, at $15$ minutes it is $93$, and at $20$ minutes it is $74$. The penicillin concentration, in micrograms per milliliter, in the patient's bloodstream $t$ minutes after the penicillin injection is modeled by the function $P$ defined by $P(t) = 200 b^{\dfrac{t}{5}}$. If $P$ approximates the values in the table to within $10$ micrograms per milliliter, what is the value of $b$, rounded to the nearest tenth?

Answer:

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

Question 39 of 154 | Algebra · Level 1

$\dfrac{x}{3} + x + x - 3 - 2 = 7 + x + x$ In the equation above, what is the value of $x$?

$-\dfrac{5}{7}$

$1$

$\dfrac{12}{7}$

$\dfrac{3}{2}$

Question 40 of 154 | Algebra · Level 1

The graph above shows the distance traveled $d$, in feet, by a product on a conveyor belt $m$ minutes after the product is placed on the belt. Which of the following equations correctly relates $d$ and $m$?

$d = 2m$

$d = \left(\dfrac{1}{2}\right) m$

$d = m + 2$

$d = 2m + 2$

Question 41 of 154 | Algebra · Level 1

The formula $E = (O + 4M + P)/6$ is often used by project managers to compute $E$, the estimated time to complete a job, where $O$ is the shortest completion time, $P$ is the longest completion time, and $M$ is the most likely completion time. Which of the following correctly gives $P$ in terms of $E$, $O$, and $M$?

$P = 6E - O - 4M$

$P = -6E + O + 4M$

$P = (O + 4M + E)/6$

$P = (O + 4M - E)/6$

Question 42 of 154 | Geometry · Level 2

In the figure above, $RT = TU$, with marked angles of $114°$ and $31°$. What is the value of $x$?

$72$

$66$

$64$

$58$

Question 43 of 154 | Algebra · Level 2

The width of a rectangular dance floor is $w$ feet. The length of the floor is $6$ feet longer than its width. Which of the following expresses the perimeter, in feet, of the dance floor in terms of $w$?

$2w + 6$

$4w + 12$

$2(w + 6)$

$w(w + 6)$

Question 44 of 154 | Algebra · Level 2

$y > 2x - 1$, $2x > 5$ Which of the following consists of the $y$-coordinates of all the points that satisfy the system of inequalities above?

$y > 6$

$y > 4$

$y > \dfrac{5}{2}$

$y > \dfrac{3}{2}$

Question 45 of 154 | Advanced Math · Level 2

$\sqrt{2x + 6} + 4 = x + 3$ What is the solution set of the equation above?

${-1}$

${5}$

$\{-1, 5\}$

$\{0, -1, 5\}$

Question 46 of 154 | Advanced Math · Level 3

$f(x) = x^3 - 9x$, $g(x) = x^2 - 2x - 3$ Which of the following expressions is equivalent to $f(x)/g(x)$, for $x > 3$?

$1/(x + 1)$

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

$\dfrac{x(x - 3)}{x + 1}$

$\dfrac{x(x + 3)}{x + 1}$

Question 47 of 154 | Geometry · Level 3

$(x - 6)^2 + (y + 5)^2 = 16$ In the xy-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10, -5)$. If $PQ$ is a diameter of the circle, what are the coordinates of point $Q$?

$(2, -5)$

$(6, -1)$

$(6, -5)$

$(6, -9)$

Question 48 of 154 | Algebra · Level 3

A group of $202$ people went on an overnight camping trip, taking $60$ tents with them. Some of the tents held $2$ people each, and the rest held $4$ people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were $2$-person tents?

$30$

$20$

$19$

$18$

Question 49 of 154 | Advanced Math · Level 3

Which of the following could be the equation of the graph above?

$y = x(x - 2)(x + 3)$

$y = x^2(x - 2)(x + 3)$

$y = x(x + 2)(x - 3)$

$y = x^2(x + 2)(x - 3)$

Question 50 of 154 | Algebra · Level 3

If $\dfrac{2 a}{b} = \dfrac{1}{2}$, what is the value of $\dfrac{b}{a}$ ?

$\dfrac{1}{8}$

$\dfrac{1}{4}$

$2$

$4$

Question 51 of 154 | Algebra · Level 3

Oil and gas production in a certain area dropped from $4$ million barrels in 2000 to $1.9$ million barrels in 2013. Assuming that the oil and gas production decreased at a constant rate, which of the following linear functions $f$ best models the production, in millions of barrels, $t$ years after the year 2000?

$f(t) = \left(\dfrac{21}{130}\right) t + 4$

$f(t) = \left(\dfrac{19}{130}\right) t + 4$

$f(t) = -\left(\dfrac{21}{130}\right) t + 4$

$f(t) = -\left(\dfrac{19}{130}\right) t + 4$

Question 52 of 154 | Advanced Math · Level 4

$y = x^2 + 3x - 7$, $y - 5x + 8 = 0$ How many solutions are there to the system of equations above?

There are exactly $4$ solutions.

There are exactly $2$ solutions.

There is exactly $1$ solution.

There are no solutions.

Question 53 of 154 | Algebra · Level 4

$g(x) = 2x - 1$, $h(x) = 1 - g(x)$ The functions $g$ and $h$ are defined above. What is the value of $h(0)$?

$-2$

$0$

$1$

$2$

Question 54 of 154 | Advanced Math · Level 4

Student-produced response directions

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

Examples

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

$x^2 + x - 12 = 0$ If $a$ is a solution of the equation above and $a > 0$, what is the value of $a$?

Answer:

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

Question 55 of 154 | Advanced Math · Level 4

Student-produced response directions

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

Examples

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

The sum of $x^2 - 2x + 31$ and $3x^2 + 7x - 8$ can be written in the form $a x^2 + b x + c$, where $a$, $b$, and $c$ are constants. What is the value of $a + b + c$?

Answer:

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

Question 56 of 154 | Algebra · Level 5

Student-produced response directions

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

Examples

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

$-x + y = -3.5$ $x + 3 y = 9.5$ If $(x, y)$ satisfies the system of equations above, what is the value of $y$ ?

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`

A start-up company opened with 8 employees. The company's growth plan assumes that 2 new employees will be hired each quarter (every 3 months) for the first 5 years. If an equation is written in the form $y = a x + b$ to represent the number of employees, $y$, employed by the company $x$ quarters after the company opened, 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 | 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 circle above, point $A$ is the center and the length of arc $B C$ is $\dfrac{2}{5}$ of the circumference of the circle. What is the value of $x$?

Answer:

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

Question 59 of 154 | Craft and Structure · Level 1

This passage is from Carlos Ruiz Zafón, The Angel's Game. The narrator, a writer, recalls his childhood in early twentieth-century Barcelona, his love of books, his disapproving father, the bookseller Sempere, and Sempere's gift of Great Expectations by Charles Dickens. Over the course of the passage, the main focus shifts from a

general discussion of the narrator's love of reading to a portrayal of an influential incident.

depiction of the narrator's father to an examination of an author with whom the narrator becomes enchanted.

symbolic representation of a skill the narrator possesses to an example of its application.

tale about the hardships of the narrator's childhood to an analysis of the effects of those hardships.

Question 60 of 154 | Craft and Structure · Level 1

The main purpose of lines 1-10 ("Even . . . awaited me"), in which the narrator describes how words fascinated him and offered a key to unlock a boundless world and a safe haven from his troubled home, is to

introduce the characters who play a part in the narrator's story.

list the difficult conditions the narrator endured in childhood.

describe the passion that drives the actions the narrator recounts.

depict the narrator's aspirations before he met Sempere.

Question 61 of 154 | Information and Ideas · Level 1

With which of the following statements about his father would the narrator most likely agree?

He lacked affection for the narrator.

He disliked any unnecessary use of money.

He would not have approved of Sempere's gift.

He objected to the writings of Charles Dickens.

Question 62 of 154 | Information and Ideas · Level 1

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

Lines 24-27 ("My father . . . children")

Lines 35-37 ("The bookseller . . . content")

Lines 37-38 ("He hardly . . . hands")

Lines 59-61 ("That afternoon . . . see it")

Question 63 of 154 | Information and Ideas · Level 1

It can reasonably be inferred from the passage that the main reason that the narrator considers Great Expectations to be the best gift he ever received is because

reading the book convinced him that he wanted to be a writer.

he'd only ever been given sweets and snacks as gifts in the past.

the gift meant that Sempere held him in high regard.

Sempere was a friend of the book's author.

Question 64 of 154 | Information and Ideas · Level 1

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

Lines 38-40 ("when . . . left")

Lines 48-49 ("It was . . . full")

Lines 52-55 ("I was . . . them")

Lines 66-68 ("Soon . . . done")

Question 65 of 154 | Information and Ideas · Level 1

The narrator indicates that he pays Sempere

less than Sempere expects him to pay for the books.

nothing, because Sempere won't take his money.

the money he makes selling sweets to the other children.

much less for the books than they are worth.

Question 66 of 154 | Craft and Structure · Level 2

As used in line 44, “weight” most nearly means

bulk.

burden.

force.

clout.

Question 67 of 154 | Craft and Structure · Level 2

The word “friend” is used twice in lines 57-58 to

underline the importance of the narrator's connection to Sempere.

stress how friendships helped the narrator deal with his difficult home situation.

emphasize the emotional connection Sempere feels to reading.

imply that the narrator's sentiments caused him to make an irrational decision.

Question 68 of 154 | Information and Ideas · Level 2

Which statement best characterizes the relationship between Sempere and Charles Dickens?

Sempere models his own writing after Dickens's style.

Sempere is an avid admirer of Dickens's work.

Sempere feels a personal connection to details of Dickens's biography.

Sempere considers himself to be Dickens's most appreciative reader.

Question 69 of 154 | Craft and Structure · Level 2

The following passage is adapted from Jeffrey Mervis, “Why Null Results Rarely See the Light of Day.” ©2014 by American Association for the Advancement of Science. The passage discusses the debate over what to do with null results in scientific research, presenting a study by Stanford political economist Neil Malhotra and his graduate students that examined studies funded by the TESS (Time-sharing Experiments for the Social Sciences) program, finding that null results are far less likely to be written up or published than statistically significant results, and the authors argue for a registry and preanalysis plans to address the resulting publication bias.

The passage primarily serves to

discuss recent findings concerning scientific studies and dispute a widely held belief about the publication of social science research.

explain a common practice in the reporting of research studies and summarize a study that provides support for a change to that practice.

describe the shortcomings in current approaches to medical trials and recommend the implementation of a government database.

provide context as part of a call for stricter controls on social science research and challenge publishers to alter their mindsets.

Question 70 of 154 | Craft and Structure · Level 2

As used in line 21, “allows” most nearly means

admits.

tolerates.

grants.

enables.

Question 71 of 154 | Craft and Structure · Level 2

As used in line 43, “strength” most nearly means

attribution.

exertion.

toughness.

significance.

Question 72 of 154 | Information and Ideas · Level 2

The passage indicates that a problem with failing to document null results is that

the results of related studies will be misleading.

researchers may overlook promising areas of study.

mistakes in the collection of null results may be overlooked.

the bias against null results will be disregarded.

Question 73 of 154 | Information and Ideas · Level 2

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

Lines 38-40 (“Their . . . expectations”)

Lines 48-50 (“However . . . finding”)

Lines 56-59 (“He and . . . ineffective”)

Lines 59-62 (“Worse . . . ignored”)

Question 74 of 154 | Information and Ideas · Level 2

Based on the passage, to which of the following hypothetical situations would Malhotra most strongly object?

A research team refuses to publish null results in anything less than a top journal.

A research team excludes the portion of data that produced null results when reporting its results in a journal.

A research team unknowingly repeats a study that produced null results for another research team.

A research team performs a follow-up study that expands the scope of an initial study that produced null results.

Question 75 of 154 | Information and Ideas · Level 2

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

Lines 36-37 (“Said . . . effects”)

Lines 45-48 (“Overall . . . null results”)

Lines 62-68 (“Even . . . investigator”)

Lines 69-73 (“A registry . . . analyzed”)

Question 76 of 154 | Craft and Structure · Level 3

The last paragraph serves mainly to

propose a future research project to deal with some of the shortcomings of current publishing practices noted in the passage.

introduce a possible solution to problems discussed in the passage regarding the reporting of social science studies.

summarize the findings of a study about experimental results explained in the passage.

reinforce the importance of reexamining the results of all social science trials.

Question 77 of 154 | Information and Ideas · Level 3

According to the graph, social science studies yielding strong results were

unwritten over 50 percent of the time.

unpublished but written 50 percent of the time.

published in a top journal approximately 20 percent of the time.

published in a non-top journal almost 80 percent of the time.

Question 78 of 154 | Information and Ideas · Level 3

Which of the following statements is supported by the graph?

Studies with mixed results were just as likely to be published as they were to be left either unpublished or unwritten.

Studies with mixed results occurred more frequently than did studies with strong and null results combined.

Studies with mixed results were more likely to be published in top journals than they were to be published in non-top journals.

Studies with mixed results were the most common type of social science studies.

Question 79 of 154 | Information and Ideas · Level 3

Which statement from the passage is most directly reflected by the data presented in the graph?

Lines 30-33 (“In their . . . interested”)

Lines 33-36 (“The unfortunate . . . scientist”)

Lines 43-45 (“Not unexpectedly . . . published”)

Lines 52-55 (“It’s a . . . Berkeley”)

Question 80 of 154 | Information and Ideas · Level 3

One central idea of the passage is that

sometimes materials behave contrary to expectations.

systems can be described in terms of inputs and outputs.

models of materials have both strengths and weaknesses.

properties of systems differ from the properties of their parts.

Question 81 of 154 | Craft and Structure · Level 3

Which choice best describes the overall structure of the passage?

A list of several ways in which salt's properties differ from researchers' expectations

A presentation of a hypothesis regarding salt behavior, description of an associated experiment, and explanation of why the results weaken the hypothesis

A description of two salt crystal experiments, the apparent disagreement in their results, and the resolution by more sensitive equipment

An introduction to an interesting salt property, description of its discovery, and speculation regarding its application

Question 82 of 154 | Information and Ideas · Level 3

Which choice provides the best evidence for the claim that Moore's group was surprised to observe salt stretching?

Lines 17-18 ("But . . . says")

Lines 26-28 ("They were . . . testing")

Lines 36-38 ("Using . . . nanowires")

Lines 55-56 ("Sodium . . . says")

Question 83 of 154 | Craft and Structure · Level 3

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

mark.

control.

declare.

restrain.

Question 84 of 154 | Information and Ideas · Level 3

According to the passage, researchers have identified which mechanism as potentially responsible for the initial attraction between the microscope tip and the salt?

Gravity

Nano-imprinting

Surface tension

Van der Waals interactions

Question 85 of 154 | Craft and Structure · Level 3

As used in line 42, "lead to" most nearly means

guide to.

result in.

point toward.

start with.

Question 86 of 154 | Information and Ideas · Level 3

Based on the passage, which choice best describes the relationship between salt behavior in the nanoworld and in the macroworld?

In both the nanoworld and the macroworld, salt can be flexible.

Salt flexibility is expected in the nanoworld but is surprising in the macroworld.

Salt nanowires were initially observed in the nanoworld and later observed in the macroworld.

In the nanoworld, salt's interactions with water lead to very different properties than they do in the macroworld.

Question 87 of 154 | Information and Ideas · Level 3

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

Lines 12-13 ("Maybe . . . think")

Lines 22-24 ("Surface . . . scale")

Lines 39-42 ("The initial . . . speculate")

Lines 51-53 ("Huge . . . scales")

Question 88 of 154 | Information and Ideas · Level 3

According to the information in the graph, when the microscope tip is moving away from the salt surface and is $15$ nanometers from the surface, what is the approximate force on the microscope tip, in micronewtons?

$0$

$0.25$

$0.75$

$1.25$

Question 89 of 154 | Information and Ideas · Level 3

Based on the passage and the graph, which label on the graph indicates the point at which a salt nanowire breaks?

Question 90 of 154 | Craft and Structure · Level 3

In the first paragraph of Passage 1, the main purpose of Douglas's discussion of the growth of the territory and population of the United States is to

provide context for Douglas's defense of continued expansion.

suggest that the division into free and slave states does not endanger the Union.

imply that Lincoln is unaware of basic facts concerning the country.

account for the image of the United States as powerful and admirable.

Question 91 of 154 | Information and Ideas · Level 3

What does Passage 1 suggest about the US government's provisions for the institution of slavery, as framed in the Constitution?

They included no means for reconciling differences between free states and slave states.

They anticipated the Union's expansion into western territories.

They provided a good basic structure that does not need to be changed.

They were founded on an assumption that slavery was necessary for economic growth.

Question 92 of 154 | Information and Ideas · Level 3

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

Lines 10-16 ("we have . . . earth")

Lines 25-27 ("I now . . . made it")

Lines 35-39 ("We must . . . increasing")

Lines 41-45 ("If we . . . territory")

Question 93 of 154 | Craft and Structure · Level 3

As used in line 67, "element" most nearly means

ingredient.

environment.

factor.

quality.

Question 94 of 154 | Information and Ideas · Level 4

Based on Passage 2, Lincoln would be most likely to agree with which claim about the controversy over slavery?

It can be ended only if Northern states act unilaterally to abolish slavery throughout the United States.

It would abate if attempts to introduce slavery to regions where it is not practiced were abandoned.

It has been exacerbated by the ambiguity of laws regulating the holding of slaves.

It is fueled in part by differences in religion and social values from state to state.

Question 95 of 154 | Information and Ideas · Level 4

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

Lines 56-61 ("I agree . . . sugar")

Lines 64-66 ("They don't . . . Union")

Lines 74-76 ("Whenever . . . peace")

Lines 83-86 ("Do you . . . another")

Question 96 of 154 | Craft and Structure · Level 4

As used in line 84, "nature" most nearly means

force.

simplicity.

world.

character.

Question 97 of 154 | Craft and Structure · Level 4

Which choice identifies a central tension between the two passages?

Douglas proposes changes to federal policies on slavery, but Lincoln argues that such changes would enjoy no popular support.

Douglas expresses concerns about the economic impact of abolition, but Lincoln dismisses those concerns as irrelevant.

Douglas criticizes Lincoln for finding fault with the Constitution, and Lincoln argues that this criticism misrepresents his position.

Douglas offers an interpretation of federal law that conflicts with Lincoln's, and Lincoln implies that Douglas's interpretation is poorly reasoned.

Question 98 of 154 | Craft and Structure · Level 4

Both passages discuss the issue of slavery in relationship to

the expansion of the Union.

questions of morality.

religious toleration.

laws regulating commerce.

Question 99 of 154 | Craft and Structure · Level 4

In the context of each passage as a whole, the questions in lines 25-27 of Passage 1 and lines 67-69 of Passage 2 primarily function to help each speaker

cast doubt on the other's sincerity.

criticize the other's methods.

reproach the other's actions.

undermine the other's argument.

Question 100 of 154 | Craft and Structure · Level 4

The primary purpose of the passage is to

discuss findings that offer a scientific explanation for the Venus flytrap's closing action.

present research that suggests that the Venus flytrap's predatory behavior is both complex and unique among plants.

identify the process by which the Venus flytrap's closing action has evolved.

provide a brief overview of the Venus flytrap and its predatory behavior.

Question 101 of 154 | Information and Ideas · Level 4

Based on the passage, a significant advantage of the Venus flytrap's requirement for multiple triggers is that it

enables the plant to identify the species of its prey.

conserves the plant's calcium reserves.

safeguards the plant's energy supply.

prevents the plant from closing before capturing its prey.

Question 102 of 154 | Information and Ideas · Level 4

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

Lines 3-7 ("Closing . . . time")

Lines 7-11 ("The large . . . across the trap")

Lines 11-14 ("If the . . . action")

Lines 16-18 ("First . . . hairs")

Question 103 of 154 | Craft and Structure · Level 4

The use of the phrases "dawdling insect" (line 6), "happily meanders" (line 27), and "unassuming bug's encounter" (lines 28-29) in the first two paragraphs establishes a tone that is

academic.

melodramatic.

informal.

mocking.

Question 104 of 154 | Craft and Structure · Level 5

In the second paragraph (lines 15-31), the discussion of short-term memory primarily functions to

clarify an explanation of what prompts the Venus flytrap to close.

advance a controversial hypothesis about the function of electric charges found in the leaf of the Venus flytrap.

stress the distinction between the strategies of the Venus flytrap and the strategies of human beings.

emphasize the Venus flytrap's capacity for retaining detailed information about its prey.

Question 105 of 154 | Information and Ideas · Level 5

According to the passage, which statement best explains why the Venus flytrap requires a second trigger hair to be touched within a short amount of time in order for its trap to close?

The second trigger produces an electrical charge that reverses the charge produced by the first trigger.

The second trigger stabilizes the surge of calcium ions created by the first trigger.

The second trigger prompts the calcium channels to open.

The second trigger provides a necessary supplement to the calcium concentration released by the first trigger.

Question 106 of 154 | Information and Ideas · Level 5

Which choice describes a scenario in which Hodick and Sievers's model predicts that a Venus flytrap will NOT close around an insect?

A large insect's second contact with the plant's trigger hairs results in a total calcium ion concentration above the trap's threshold.

A large insect makes contact with a second trigger hair after a period of inactivity during which calcium ion concentrations have diminished appreciably.

A large insect's contact with the plant's trigger hairs causes calcium channels to open in the trap.

A large insect's contact with a second trigger hair occurs within ten seconds of its contact with the first trigger hair.

Question 107 of 154 | Craft and Structure · Level 5

As used in line 67, "demonstrated" most nearly means

protested.

established.

performed.

argued.

Question 108 of 154 | Information and Ideas · Level 5

Based on the passage, what potential criticism might be made of Volkov's testing of Hodick and Sievers's model?

Volkov's understanding of Hodick and Sievers's model was incorrect.

Volkov's measurements did not corroborate a central element of Hodick and Sievers's model.

Volkov's direct application of an electrical current would have been objectionable to Hodick and Sievers.

Volkov's technology was not available to Hodick and Sievers.

Question 109 of 154 | Information and Ideas · Level 5

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

Lines 66-69 ("Alexander . . . close")

Lines 69-71 ("To test . . . trap")

Lines 71-74 ("This . . . increases")

Lines 74-77 ("When . . . close")

Question 110 of 154 | Information and Ideas · Level 5

Based on the passage, in studying the Venus flytrap, Volkov and his colleagues made the most extensive use of which type of evidence?

Mathematical models to predict the electrical charge required to close the Venus flytrap

Analysis of data collected from previous researchers' work involving the Venus flytrap's response to electricity

Information obtained from monitoring the Venus flytrap's response to varying amounts of electrical current

Published theories of scientists who developed earlier models of the Venus flytrap

Question 111 of 154 | Expression of Ideas · Level 1

Over the past generation, people in many parts of the United States have become accustomed to dividing their household waste products into different categories for recycling. [1] Regardless, paper may go in one container, glass and aluminum in another, regular garbage in a third.

NO CHANGE

However,

Furthermore,

For example,

Question 112 of 154 | Expression of Ideas · Level 1

It also enhances soil texture, encouraging healthy roots and minimizing or [2] annihilating the need for chemical fertilizers. Which choice best maintains the style and tone of the passage?

NO CHANGE

eliminating

ousting

closing the door on

Question 113 of 154 | Standard English Conventions · Level 1

Better than soil at holding moisture, compost minimizes water waste and storm runoff, [3] it increases savings on watering costs, and helps reduce erosion on embankments near bodies of water.

NO CHANGE

savings increase

increases savings

also it increases savings

Question 114 of 154 | Standard English Conventions · Level 1

In large [4] quantities, which one would expect to see when it is collected for an entire municipality), compost can be converted into a natural gas that can be used as fuel for transportation or heating and cooling systems.

NO CHANGE

quantities (which

quantities which

quantities; (which

Question 115 of 154 | Expression of Ideas · Level 1

According to the Environmental Protection Agency (EPA), over [5] 13 million tons of metal ended up in US landfills in 2009, along with over 13 million tons of yard debris. The writer wants to include information from the graph that is consistent with the description of compost in the passage. Which choice most effectively accomplishes this goal?

NO CHANGE

6 million tons of rubber and leather

10 million tons of textiles

33 million tons of food waste

Question 116 of 154 | Expression of Ideas · Level 1

Remarkably, [6] less glass was discarded in landfills in that year than any other substance, including plastics or paper. The writer wants to support the paragraph's main idea with accurate, relevant information from the graph. Which choice most effectively accomplishes this goal?

NO CHANGE

more metal

more food waste

more yard waste

Question 117 of 154 | Standard English Conventions · Level 2

Even [7] worse, then the squandering of this useful resource is the fact that compost in landfills cannot break down due to the lack of necessary air and moisture.

NO CHANGE

worse than

worse then

worse, than

Question 118 of 154 | Standard English Conventions · Level 2

As a result, organic material that is sent to landfills [8] contribute to the release of methane, a very potent greenhouse gas.

NO CHANGE

are contributing

contributes

have contributed

Question 119 of 154 | Expression of Ideas · Level 2

As a result, organic material that is sent to landfills contributes to the release of methane, a very [9] potent greenhouse gas.

NO CHANGE

sturdy

influential

commanding

Question 120 of 154 | Expression of Ideas · Level 2

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`

[10] While composting can sometimes lead to accidental pollution through the release of methane gas, cities such as San Francisco and Seattle have instituted mandatory composting laws requiring individuals and businesses to use separate bins for compostable waste.

Answer:

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

Question 121 of 154 | Standard English Conventions · Level 2

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`

Given the clear benefits of composting and the environmental costs of not composting, all municipalities should encourage their residents either to create their own compost piles for use in backyard gardens [11] or to dispose of compostable materials in bins for collection.

Answer:

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

Question 122 of 154 | Standard English Conventions · Level 2

The crowd has gathered to celebrate Lunar New Year. The street is a sea of red. Red is the traditional Chinese color of luck and happiness.

Which choice most effectively combines the sentences at the underlined portion?

red,

red; in addition, red is

red; in other words, red is

red, the color; that is

Question 123 of 154 | Standard English Conventions · Level 2

Buildings are draped with festive, red, banners, and garlands. Lampposts are strung with crimson paper lanterns, which bob in the crisp winter breeze.

NO CHANGE

draped, with festive red banners,

draped with festive red banners—

draped with festive red banners

Question 124 of 154 | Expression of Ideas · Level 2

Some evidence suggests that the earliest version of the dance was an attempt to ward off an evil spirit; lions are obviously very fierce.

Which choice most effectively completes the explanation of a possible origin of the lion dance?

NO CHANGE

the evil spirit was called Nian.

villagers dressed in lion costumes to scare the spirit away.

the precise location of the village remains lost to history.

Question 125 of 154 | Expression of Ideas · Level 3

Another theory is that an emperor, upon waking from a dream about a lion, hired an artist to choreograph the dance. The current function of the dance is celebration.

Which choice most effectively concludes the paragraph?

NO CHANGE

It turns out that the origins of the lion dance are irrelevant.

Whatever its origins, today the lion dance is a joyous spectacle, a celebration of the promise of the New Year.

Things are different these days, of course.

Question 126 of 154 | Standard English Conventions · Level 3

The lion dance requires the strength, grace, and coordination of two dancers, both of whom are almost completely hidden by the elaborate bamboo and papier-mâché lion costume that they maneuver.

NO CHANGE

of which both

both of them

both

Question 127 of 154 | Standard English Conventions · Level 3

Many of the moves in the dance, such as jumps, rolls, and kicks, are similar to martial arts and acrobatics.

NO CHANGE

the disciplines of martial arts and acrobatics.

martial artists and acrobats.

those in martial arts and acrobatics.

Question 128 of 154 | Writing · Level 3

The lion's head is often adorned with a phoenix (a mythical bird) or a tortoise (for longevity). Which choice provides information that is most consistent in style and content with the information about the symbolism of the tortoise?

NO CHANGE

(for new beginnings)

(from Chinese mythology)

(for symbolic reasons)

Question 129 of 154 | Expression of Ideas · Level 3

[1] While there are many regional variations of the lion dance costume, all make extensive use of symbols and colors. [2] The lion's head is often adorned with a phoenix or a tortoise. [3] Green lions encourage friendliness. [4] Golden and red lions represent liveliness and bravery, respectively. [5] Their older counterparts, yellow and white lions, dance more slowly and deliberately. [6] In some variations, lions of different colors are different ages, and they move accordingly. [7] Black lions are the youngest; therefore, they dance quickly and playfully. [8] The appearance of the lions varies, but their message is consistent: Happy New Year.

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

where it is now.

after sentence 1.

after sentence 3.

after sentence 7.

Question 130 of 154 | Standard English Conventions · Level 3

As the parade winds its way through Chinatown, the music crescendos, and the lion dance reaches it's climax with the "plucking of the greens."

NO CHANGE

its

there

their

Question 131 of 154 | Standard English Conventions · Level 3

Approaching a doorway in which dangles a red envelope filled with green paper money, the lion's teeth snare the envelope.

NO CHANGE

lion snares the envelope with its teeth.

envelope is snared by the lion with its teeth.

teeth of the lion snare the envelope.

Question 132 of 154 | Expression of Ideas · Level 3

It then chews up the bills and spits out the money-filled envelope instead of chewing it up.

NO CHANGE

envelope that had been dangling from the doorway.

envelope that had the money in it.

envelope.

Question 133 of 154 | Craft and Structure · Level 3

Which choice best fits with the tone of the rest of the passage?

NO CHANGE

super-rigorous

spot-on

intense

Question 134 of 154 | Standard English Conventions · Level 3

Which choice best punctuates the underlined portion of the list ("hearings; depositions,")?

NO CHANGE

hearings; depositions;

hearings, depositions,

hearings, depositions;

Question 135 of 154 | Expression of Ideas · Level 3

At this point, the writer is considering adding the following graph titled "Salary Comparison: Court Reporters versus Other Occupations," which shows the median salary (in thousands of dollars) for legal occupations, court reporters, and all US occupations (Adapted from Bureau of Labor Statistics, US Department of Labor, Occupational Outlook Handbook, 2014–15 Edition). The relevant passage reads: "...courtrooms. Although machines can easily make digital audio recordings of court events, they lack the nuance of human court reporters in providing a precise record." Should the writer make this addition here?

Yes, because it supports the claim that court reporting is an important part of a trial.

Yes, because it offers a relevant counterpoint to the argument that the use of digital recorders is on the rise.

No, because it presents information that is not directly related to the paragraph's discussion of the role of court reporters.

No, because it does not provide information about the pay scale for more experienced court reporters.

Question 136 of 154 | Standard English Conventions · Level 3

Proponents of going digital say that technology is the easiest way to get the most accurate record of the proceedings, as the machine records everything faithfully as it occurs and is not [26] subject to human errors such as mishearing or mistyping. Which choice is best for the underlined portion?

NO CHANGE

subjected to

subjected from

subject for

Question 137 of 154 | Standard English Conventions · Level 3

However, with the rise of high-quality recording technology, reliance on court reporters [27] as a record keeper is decreasing. Which choice is best for the underlined portion?

NO CHANGE

each as record keepers

as record keepers

to be a record keeper

Question 138 of 154 | Expression of Ideas · Level 3

The paragraph contains the following sentences: [1] Court reporters record the spoken word in real time, most commonly using the technique of stenography. [2] A stenotype machine allows a person to type about 200 words per minute (the speed of speech is about 180 words per minute). [3] The typed words are instantaneously translated onto a computer screen for the judge to view, and the transcript is used later by people who want to review the case, such as journalists and lawyers. [4] Digital audio recording is becoming increasingly popular in courtrooms across the United States, with six states using solely audio recordings for general jurisdiction sessions. [5] Proponents of going digital say that technology is the easiest way to get the most accurate record of the proceedings... [6] However, with the rise of high-quality recording technology, reliance on court reporters as a record keeper is decreasing. To make this paragraph most logical, sentence 6 should be placed

where it is now.

after sentence 1.

after sentence 3.

after sentence 4.

Question 139 of 154 | Writing · Level 3

Champions of court reporting, though, argue the [29] opposite. They argue that with the increased reliance on technology, errors actually increase. Which choice most effectively combines the sentences at the underlined portion?

opposite, such

opposite—

opposite, which is

opposite; their opinion is

Question 140 of 154 | Standard English Conventions · Level 3

Because digital systems record [30] indiscriminately; they cannot discern important parts of the proceedings from other noises in the courtroom. Which choice is best for the underlined portion?

NO CHANGE

indiscriminately, they

indiscriminately. They

indiscriminately, therefore they

Question 141 of 154 | Expression of Ideas · Level 4

[31] Despite this, a digital device does indeed record everything, but that includes loud noises, such as a book dropping, that can make the actual words spoken impossible to hear. Which choice is best for the underlined transition?

NO CHANGE

In other words,

Therefore,

Consequently,

Question 142 of 154 | Writing · Level 4

A court reporter, however, can distinguish between the words [32] and distinguish between the extrinsic noises that need not be recorded. Which choice is best for the underlined portion?

NO CHANGE

also between the

and when there are

and the

Question 143 of 154 | Expression of Ideas · Level 4

Also, if a witness mumbles, a human court reporter can pause court proceedings to ask the witness to repeat what he or she said. In some cases, digital recording [33] makes it necessary for the judge to make additional announcements at the beginning of a trial. Which choice provides the best supporting example for the main idea of the paragraph?

NO CHANGE

requires a courtroom monitor to ensure the equipment is functioning properly.

leads to changes in the roles and duties of several members of the courtroom staff.

has led to the need for retrial because of indistinct testimony from key witnesses.

Question 144 of 154 | Expression of Ideas · Level 4

Choose the option that best maintains the logical transition. Word choice for the underlined transition word: "... 34 ..." A) NO CHANGE

NO CHANGE

however,

accordingly,

subsequently,

Question 145 of 154 | Expression of Ideas · Level 4

Choose the most concise and effective phrasing for the underlined portion describing the researchers' aim.

NO CHANGE

strove for a method to make their study of biofuel combustion

looked for a method to study biofuel combustion

sought a method to study combustion of biofuels

Question 146 of 154 | Craft and Structure · Level 4

Passage: "Droplets lose their spherical symmetry while burning. This 36 deformation results in subtle variations in density that both causes uneven heat flow and limits the size of the droplets that can be tested." Which choice provides the most precise description of the phenomenon depicted in the previous sentence?

NO CHANGE

alteration

transformation

modification

Question 147 of 154 | Standard English Conventions · Level 4

Passage: "This deformation results in subtle variations in density that both 37 causes uneven heat flow and limits the size of the droplets that can be tested."

NO CHANGE

cause uneven heat flow and limit

cause uneven heat flow and limits

has caused uneven heat flow and has limited

Question 148 of 154 | Expression of Ideas · Level 4

Passage: "Specially designed “drop towers” 38 built for this purpose reduce these problems, but they provide no more than 10 seconds of microgravity, and droplet size is still too small to produce accurate models of combustion rates."

NO CHANGE

intended for this use

constructed for this function

DELETE the underlined portion.

Question 149 of 154 | Expression of Ideas · Level 5

Passage: "... droplet size is still too small to produce accurate models of combustion rates. 39 As part of the program, researchers fly their experiments aboard aircraft that simulate the microgravity environment of space." Which choice provides the most effective transition between ideas in the paragraph?

NO CHANGE

The UCSD group sought to overcome these difficulties by participating in NASA’s Microgravity University program.

The engineering group realized that aircraft might be the tools they were looking for.

Thus, for the UCSD group, drop towers were not an adequate solution.

Question 150 of 154 | Standard English Conventions · Level 5

Passage: "... for brief periods at the peak of the trajectory, 40 “weightlessness” or microgravity similar to what is experienced in space, is achieved."

NO CHANGE

“weightlessness” or microgravity, similar to what is experienced, in space

“weightlessness” or, microgravity, similar to what is experienced in space

“weightlessness,” or microgravity similar to what is experienced in space,

Question 151 of 154 | Expression of Ideas · Level 5

Passage: "These flights allowed the UCSD students to experience microgravity 41 . Specifically, they investigated the combustion of biofuel droplets in microgravity ..." At this point, the writer is considering adding the following. "and perform their experiment without traveling into space" Should the writer make this addition here?

Yes, because it elaborates on the advantage the students gained from the flights.

Yes, because it reveals that the students did not actually go into space, a point that the previous paragraph does not address.

No, because it shifts focus away from the students’ experiences while on the flights.

No, because it restates what has already been said in the sentence.

Question 152 of 154 | Standard English Conventions · Level 5

Passage: "Specifically, they 42 investigated the combustion of biofuel droplets in microgravity for twice as long as could be accomplished in drop towers and to perform tests with larger droplets."

NO CHANGE

could investigate

were investigating

were able to investigate

Question 153 of 154 | Craft and Structure · Level 5

Passage: "The larger, 43 spherically symmetric droplets burned longer and gave the students more reliable data on combustion rates of biofuels because the droplets’ uniform shape reduced the variations in density that hinder tests performed in normal gravity." Which choice most effectively establishes that the UCSD students’ approach had solved a problem, mentioned earlier in the passage, relating to burning fuel on Earth?

NO CHANGE

combustible

microgravity-influenced

biofuel-derived

Question 154 of 154 | Standard English Conventions · Level 5

Passage: "Better combustion-rate models may even lead to the production of more fuel-efficient engines and improved 44 techniques, for fighting fires in space or at future outposts on the Moon and Mars."

NO CHANGE

techniques for fighting fires, in space or at future outposts

techniques for fighting fires in space or at future outposts

techniques for fighting fires in space, or at future outposts,

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