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Algebra
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100

Due to their often strange images, highly experimental syntax, and opaque subject matter, many of John Ashbery's poems can be quite difficult to ________ and thus are the object of heated debate among scholars.

Which choice completes the text with the most logical and precise word or phrase?

  1. delegate
  2. compose
  3. interpret
  4. renounce

INTERPRET 

100

Which of the following statements regarding the areas of measurement in 3rd dimensional shapes is true?

1. The area of the base is irrelevant
2. Altitude is referring to the base
3. Altitude is in reference to the distance between the tip of a cone and the base
4. The area of the base always equals the volume

3. Altitude is in reference to the distance between the tip of a cone and the base

100

In the linear function f, f(0) = 8 and f(1) = 12.

Which equation defines f?

  1. f(x) = 12x + 8
  2. f(x) = 4x
  3. f(x) = 4x + 12
  4. f(x) = 4x + 8

4. F(x) = 4x + 8

100

The following text is from Georgia Douglas

Johnson's 1922 poem "Benediction."

Go forth, my son,

Winged by my heart's desire!

Great reaches, yet unknown,

Await

For your possession.

I may not, if I would,

Retrace the way with you, My pilgrimage is through,

But life is calling you!

Which choice best states the main purpose of the text?

  1. To express hope that a child will have the same accomplishments as his parent did
  2. To suggest that raising a child involves many struggles
  3. To warn a child that he will face many challenges throughout his life
  4. To encourage a child to embrace the experiences life will offer

4. To encourage a child to embrace the experiences life will offer

100

Data set X: 5, 9, 9, 13

Data set Y: 5, 9, 9, 13, 27

The lists give the values in data sets X and Y. Which statement correctly compares the mean of data set X and the mean of data set Y?

  1. The mean of data set X is greater than the mean of data set Y.
  2. The mean of data set X is less than the mean of data set Y.
  3. The means of data set X and data set Y are equal.
  4. There is not enough information to compare the means.

2.  The mean of data set X is less than the mean of data set Y.

200

During a 2014 archaeological dig in Spain, Vicente Lull and his team uncovered the skeleton of a woman from El Algar, an Early Bronze Age society, buried with valuable objects signaling a high position of power. This finding may persuade researchers who have argued that Bronze Age societies were ruled by men to _____ that women may have also held leadership roles.

Which choice completes the text with the most logical and precise word or phrase?

  1. waive
  2. concede
  3. refute
  4. require

CONCEDE

200

Correctly identify the difference between an arc and an angle:

1. An angle is always identified with two points and an arc is identified with three
2. An angle is often measured in terms of pi
3. An arch is always identified with two points and an angle is identified with three
4. An arch is measured in terms of degrees 

3. An arch is always identified with two points and an angle is identified with three

200

y = -1.5

y = x2+8x+a

In the given system of equations, a is a positive constant. The system has exactly one distinct real solution. What is the value of a ?

29/2 or 14.5

200

In 2014, Amelia Quon and her team at NASA set out to build a helicopter capable of flying on Mars.

Because Mars's atmosphere is only one percent as dense as Earth's, the air of Mars would not provide enough resistance to the rotating blades of a standard helicopter for the aircraft to stay aloft. For five years, Quon's team tested designs in a lab that mimicked Mars's atmospheric conditions. The craft the team ultimately designed can fly on Mars because its blades are longer and rotate faster than those of a helicopter of the same size built for Earth.

According to the text, why would a helicopter built for Earth be unable to fly on Mars?

  1. Because Mars and Earth have different atmospheric conditions
  2. Because the blades of helicopters built for Earth are too large to work on Mars
  3. Because the gravity of Mars is much weaker than the gravity of Earth
  4. Because helicopters built for Earth are too small to handle the conditions on Mars

1. Because Mars and Earth have different atmospheric conditions

200

A company that provides whale-watching tours takes groups of 21 people at a time. The company's revenue is 80 dollars per adult and 60 dollars per child. If the company's revenue for one group consisting of adults and children was 1,440 dollars, how many people in the group were children?

A) 3

B) 9

C) 12

D) 18

C.) 12

300

According to a US tax policy expert, state taxes are ________ other factors when considering an interstate move. Even significant differences in state taxation have almost no effect on most people's decisions, while differences in employment opportunities, housing availability, and climate are strong influences.

Which choice completes the text with the most logical and precise word or phrase?

  1. consistent with
  2. representative of
  3. overshadowed by
  4. irrelevant to

OVERSHADOWED BY

300

One gallon of paint will cover 220 square feet of a surface. A room has a total wall area of w square feet.

Which equation represents the total amount of paint P, in gallons, needed to paint the walls of the room twice?

1.  P = w/110
2.  P= 440w
3.  P= w/220
4.  P= 220w

1.  P= w/110

300

The function h is defined by h(x) = 4x + 28. The

graph of y = h(x) in the xy-plane has an x-intercep

at (a, O) and a y-intercept at (0, b), where a and b are constants. What is the value of a + b?

1.) 21

2.) 28

3.) 32

4.) 35

1.) 21

300

in reference to to the novel “The Great Gatsby“


“But above the gray land and the spasms of bleak dust which drift endlessly over it, you perceive, after a moment, the eyes of Doctor T. J. Eckleburg. 

The eyes of Doctor T. J. Eckleburg are blue and gigantic – their irises are one yard high. They look out of no face, but, instead, from a pair of enormous yellow spectacles which pass over a nonexistent nose. Evidently some wild wag of an oculist set them there to fatten his practice in the borough of Queens, and then sank down himself into eternal blindness, or forgot them and moved away. But his eyes, dimmed a little by many paintless days, under sun and rain, brood on over the solemn dumping ground.”

What do the eyes on the billboard most clearly reference?

The Eyes of God

300

For the function 9, the value of q(x) decreases by 45% for every increase in the value of x by 1. If

q(0) = 14, which equation defines g ?

  1. q(x) = 0.55(14) x
  2. q(x) = 1.45(14) x
  3. q(x) = 14(0.55) x
  4. q(x) = 14(1.45) x

3.  q(x) = 14 (0.55)x

400

Within baleen whale species, some individuals develop an accessory spleen -a seemingly functionless formation of splenetic tissue outside the normal spleen. Given the formation's greater prevalence among whales known to make deeper dives, some researchers hypothesize that its role isn't _____ ; rather, the accessory spleen may actively

support diving mechanisms.

Which choice completes the text with the most logical and precise word or phrase?

  1. replicable
  2. predetermined
  3. operative
  4. latent

LATENT

400

RS = 20

ST = 48

TR = 52

The side lengths of right triangle RST are given.

Triangle RST is similar to triangle UVW, where S corresponds to V and T corresponds to W. What is the value of tan W?

1.  5/13

2.  5/12

3.  12/13

4.  12/5

2. 5/12

400

f(X)= (X+6) (x +5) (x-4)

The function fis given. Draw a table of values that represents y =f(x) -3?

your table will show three sets of X and Y values

 X     Y
-6    -3
-5    -3
 4    -3

400

The following text is adapted from Indian Boyhood, a 1902 memoir by Ohiyesa (Charles A. Eastman), a Santee Dakota writer. In the text, Ohiyesa recalls how the women in his tribe harvested maple syrup during his childhood.

Now the women began to test the trees-moving leisurely among them, axe in hand, and striking a single quick blow, to see if the sap would appear.

The trees, like people, have their individual characters; some were ready to yield up their life-blood, while others were more reluctant. 

Now one of the birchen basins was set under each tree, and a hardwood chip driven deep into the cut which the axe had made. From the corners of this chip-at first drop by drop, then more freely-the sap trickled into the little dishes.

Which choice best describes the function of the isolated sentence in the text as a whole?

  1. It portrays the range of personality traits displayed by the women as they work.
  2. It foregrounds the beneficial relationship between humans and maple trees.
  3. It demonstrates how human behavior can be influenced by the natural environment.
  4. It elaborates on an aspect of the maple trees that the women evaluate.

4. It elaborates on an aspect of the maple trees that the women evaluate.

400

The number A is 110% greater than the number b.

The number b is 90% less than 47. What is the value of A?

1. 12.4
2. 39
3. 9.87
4. 8.64

3.  9.87

500

When reading complex texts it is important to not only understand the purpose of the statement made, but to also ________  it so you may understand words you might not have known before.

1. Rearrange
2. Contextualize
3. Rephrase
4. Concatenate

CONTEXTUALIZE 

500

Imagine a circle with a circumference of 144(pi).
The circle is divided into uneven sections.

Arc SQ is half of the circle. There is one point between S and Q labeled point T. If Arc TQ is 1/4 the size of SQ, what is the length of Arc TQ?

Draw a diagram

1. 72(pi)
2. 14(pi)
3. 28(pi)
4 18(pi)

4. 18(pi)

500

One of the factors of 2x3 + 42x2 + 208x is X + b, where b is a positive constant. What is the smallest possible value of b ?

1.  4
2.  6
3.  8
4.  12

3.  8

500

In West Africa, jalis have traditionally been keepers of information about family histories and records of important events. They have often served as teachers and advisers, too. New technologies may have changed some aspects of the role today, but jalis continue to be valued for knowing and protecting their peoples' stories.

Which choice best states the main idea of the text?

  1. Even though there have been some changes in their role, jalis continue to preserve their communities' histories.
  2. Although jalis have many roles, many of them like teaching best.
  3. Jalis have been entertaining the people within their communities for centuries.
  4. Technology can now do some of the things jalis used to be responsible for.

1. Even though there have been some changes in their role, jalis continue to preserve their communities' histories.

500

f(t) = 8,000(0.65)°

The given function f models the number of coupons a company sent to their customers at the end of each year, where t represents the number of years since the end of 1998, and 0 ≤ t ≤ 5. If y = f(t) is graphed in the ty-plane, which of the following is the best interpretation of the y-intercept of the graph in this context?

  1. The minimum estimated number of coupons the company sent to their customers during the 5 years was 1,428.
  2. The minimum estimated number of coupons the company sent to their customers during the 5 years was 8,000.
  3. The estimated number of coupons the company sent to their customers at the end of 1998 was 1,428.
  4. The estimated number of coupons the company sent to their customers at the end of 1998 was 8,000.

4. The estimated number of coupons the company sent to their customers at the end of 1998 was 8,000.