Math
Writing
More Math
Reading
100
A gas station sells regular gasoline for $2.39 per gallon and premium gasoline for $2.79 per gallon. If the gas station sold a total of 550 gallons of both types of gasoline in one day for a total of $1,344.50, how many gallons of premium gasoline were sold?
(A) 25
(B) 75
(C) 175
(D) 475
(B) 75
If 75 gallons of premium were sold, the station would make 75($2.79) = $209.25 for those sales.
A total of 550 gallons were sold, so the station would have sold 550 - 75 = 475 gallons of regular gasoline.
The sales for the regular gasoline would be 475($2.39) = $1,135.25.
The total sales for both types of gasoline would be $209.25 + $1,135.25 = $1,344.50.
100
The speakers of what has come to be known as (1) Appalachian English has used a form of English that few can explain. Many scholars believe Appalachian pronunciation comes from Scots-Irish immigration, but (2) some theorizes that this dialect of English may be closer to what Londoners spoke in Elizabethan times. Trying to understand these changes (3) demonstrate that although we all technically speak English, we speak very different languages indeed.
(A) NO CHANGE
(B) Appalachian English uses
(C) Appalachian English use
(D) Appalachian English using
(C) Appalachian English use
100
Malik’s salary is $25,500 per year, which he expects will increase by a constant dollar amount annually. In 12 years, his salary will have doubled. Assuming salary increases take place only at the end of a full year, how many years must Malik wait until his salary is at least $40,000 annually?
(A) 6
(B) 7
(C) 8
(D) 9
(B) 7
25,500 + 2,125n = 40,000
2,125n = 14,500
n ≈ 6.8
100
The following text is from Jules Verne’s 1863 novel Five Weeks in a Balloon.
Notwithstanding fatigues of every description, and in all climates, Ferguson’s constitution continued marvelously sound. He felt at ease in the midst of the most complete privations; in fine, he was the very type of the thoroughly accomplished explorer whose stomach expands or contracts at will; whose limbs grow longer or shorter according to the resting-place that each stage of a journey may bring; who can fall asleep at any hour of the day or awake at any hour of the night.
As used in the text, what does the word “constitution” most nearly mean?
(A) Statute
(B) Principles
(C) Health
(D) Ordinance
(C) Health
200
If f(x) = 2x 2 + 4 for all real numbers x , which of the following is equal to f(3) + f(5) ?
(A) f (4)
(B) f (6)
(C) f (10)
(D) f (15)
(B) f (6)
To find the value of f(3) + f(5), find the values of f (3) and f (5) separately:
f(3) = 2(3) 2 + 4 = 22 and f(5) = 2(5) 2 + 4 = 54 . So f(3) + 5(5) = 76.
You can tell that f (4) will be between 22 and 54, so you can cross out (A).
If you ballpark (C) and (D), putting 10 or 15 in the function will give you a number bigger than 100, and you're looking for 76, so (C) and (D) are too big.
That means the answer is (B) by process of elimination.
200
The speakers of what has come to be known as (1) Appalachian English has used a form of English that few can explain. Many scholars believe Appalachian pronunciation comes from Scots-Irish immigration, but (2) some theorizes that this dialect of English may be closer to what Londoners spoke in Elizabethan times. Trying to understand these changes (3) demonstrate that although we all technically speak English, we speak very different languages indeed.
(A) NO CHANGE
(B) some theorized
(C) some have theorized
(D) some theorize
(D) some theorize
200
21x − 6y = 54
9 + y = 3.5x
The system of equations shown has how many solutions?
(A) Zero
(B) One
(C) Two
(D) Infinitely many solutions
(D) Infinitely many solutions
Note that (C) is impossible.
Both equations describe the same line, so there are infinitely many solutions
200
In 1990, Carl Woese proposed that bacteria and archaea were disparate domains of prokaryotes based on the analysis of their ribosomal RNA, the genetic material that plays an active role in the formation of proteins. Today, the phylogenetic branches of bacteria, archaea, and eukarya form the basis of the three-domain system of classification that is still in use.
As used in the text, what does the word “branches” most nearly mean?
(A) Boughs
(B) Offices
(C) Chapters
(D) Groupings
(D) Groupings
300
In the figure below, circle O has a radius of 8, and angle XOY measures 5 ⁄ 16 π radians. What is the measure of minor arc XY ?
(A) 5 ⁄ 16 π
(B) 5 ⁄ 2 π
(C) 5π
(D) 16π
(B) 5 ⁄ 2 π
Because the question wants arc length and gives you the measure of the central angle in radians, you can use the formula s = rθ to find the arc length:
s = (8)( 5 ⁄ 16 π) = 40 ⁄ 16 π , which reduces to 5 ⁄ 2 π , which is (B).
300
The speakers of what has come to be known as (1) Appalachian English has used a form of English that few can explain. Many scholars believe Appalachian pronunciation comes from Scots-Irish immigration, but (2) some theorizes that this dialect of English may be closer to what Londoners spoke in Elizabethan times. Trying to understand these changes (3) demonstrate that although we all technically speak English, we speak very different languages indeed.
(A) NO CHANGE
(B) demonstrate that although we all technically spoke English, we speak
(C) demonstrates that although we all technically speak English, we might have been speaking
(D) demonstrates that although we all technically speak English, we speak
(D) demonstrates that although we all technically speak English, we speak
300
hx − 4y = −10
kx + 3y = −15
If the graphs of the lines in this system of equations intersect at (–3, 1), what is the value of k/h?
(A) 1/3
(B) 2
(C) 3
(D) 6
(C) 3
If the graphs intersect at (−3, 1), then the solution to the system is x = −3 and y = 1. Substitute these values into both equations and go from there
300
The following text is from Jane Austen’s 1813 novel Pride and Prejudice.
“Well,” said Charlotte, “I wish Jane success with all my heart. And if she were married to him tomorrow, I should think she had as good a chance of happiness as if she were to be studying his character for a twelvemonth. Happiness in marriage is entirely a matter of chance. If the dispositions of the parties are ever so well known to each other, or ever so similar beforehand, it does not advance their felicity in the least. They always continue to grow sufficiently unlike afterwards to have their share of vexation; and it is better to know as little as possible of the defects of the person with whom you are to pass your life.”
Which choice best states the main purpose of the text?
(A) It establishes that Charlotte thinks Jane has a good chance at happiness even if Jane rushes into her marriage.
(B) It lays out how Charlotte believes that being happy in your marriage is not something that can be assured.
(C) It chronicles the events that caused Charlotte to believe what she does about marriage.
(D) It shows that Charlotte did nothing to improve her own happiness in marriage by getting to know her partner first.
(B) It lays out how Charlotte believes that being happy in your marriage is not something that can be assured.
400
After a couple dances for three hours in a charity dance-a-thon, they earn $50 per half-hour of additional dancing. Assuming they dance for at least three hours, which expression represents the total number of dollars earned by a couple who dances continuously for h hours?
(A) 25h
(B) 100h
(C) 50(h-3)
(D) 100h-300
(D) 100h-300
If a couple earns $50 per half-hour that they dance, then they earn 50 x 2 = $100 per hour.
Multiply this amount by the number of hours (not including the first 3 hours). This can be expressed as 100(h − 3).
This is not one of the answer choices, so simplify by distributing the 100 to get 100h − 300
400
Urban agriculture has been proposed as a potential solution to the food insecurities that occur in densely populated communities with high economic disparity. Specifically, rooftop gardens can help improve access to fresh fruits and vegetables, ______ the residents in a collective purpose, and beautify the skyline. However, the space is very limited, and rooftop gardeners would benefit from consistent crop rotation and strategic plant selection.
Which choice completes the text so that it conforms to the conventions of Standard English?
(A) engaging
(B) engage
(C) engages
(D) engaged
(B) engage
400
Figure A and figure B are both regular polygons. The sum of the perimeter of figure A and the perimeter of figure B is 63 inches. The equation 3x + 6y = 63 represents this situation, where x is the number of sides of figure A and y is the number of sides of figure B. Which statement is the best interpretation of 6 in this context?
(A) Each side of figure B has a length of 6 inches.
(B) The number of sides of figure B is 6.
(C) Each side of figure A has a length of 6 inches.
(D) The number of sides of figure A is 6.
(A) Each side of figure B has a length of 6 inches.
It’s given that figure A and figure B (not shown) are both regular polygons and the sum of the perimeters of the two figures is 63 inches. It’s also given that x is the number of sides of figure A and y is the number of sides of figure B, and that the equation 3x + 6y = 63 represents this situation. Thus, 3x and 6y represent the perimeters, in inches, of figure A and figure B, respectively. Since 6y represents the perimeter, in inches, of figure B and y is the number of sides of figure B, it follows that each side of figure B has a length of 6 inches.
400
The following text is from H.G. Wells’ 1898 novel The War of the Worlds.
No one gave a thought to the older worlds of space as sources of human danger, or thought of them only to dismiss the idea of life upon them as impossible or improbable. It is curious to recall some of the mental habits of those departed days. At most terrestrial men fancied there might be other men upon Mars, perhaps inferior to themselves and ready to welcome a missionary enterprise. Yet across the gulf of space, minds that are to our minds as ours are to those of the beasts that perish, intellects vast and cool and unsympathetic, regarded this earth with envious eyes, and slowly and surely drew their plans against us.
Which choice best states the function of the bold portion in the text as a whole?
(A) It elaborates on the danger posed by the Martians.
(B) It establishes a contrast with the idea introduced in the preceding sentence.
(C) It presents specific examples of what humans once thought about the Martians.
(D) It sets up the specific beliefs presented in the next sentence.
(D) It sets up the specific beliefs presented in the next sentence.
500
A pizzeria charges $17 for Pizza A and $13 for Pizza B. Ingredient costs are $450 per week for Pizza A and $310 per week for Pizza B. Last week, the pizzeria sold an equal number of both pizza types, and the weekly profit from the sale of each pizza type was the same. If x represents the number of Pizza B sold, what is the value of x?
(A) 30
(B) 35
(C) 140
(D) 145
(B) 35
17x − 450 = 13x − 310
4x = 140
x = 35
500
In a group, 40% of the items are red. Of all the red items in the group, 30% also have stripes. What percentage of the items in the group are red and have stripes?
(A) 10%
(B) 12%
(C) 70%
(D) 75%
(B) 12%
It’s given that in a group, 40% of the items are red. It follows that the number of red items in the group can be represented by 0.4x, where x represents the total number of items in the group. It’s also given that of all the red items in the group, 30% also have stripes. It follows that the number of items in the group that are red and have stripes can be represented by 0.3(0.4x), or 0.12x. The expression 0.12x represents 12% of x. Since x represents the total number of items in the group, it follows that 12% of the items in the group are red and have stripes.