Math
Grammar
Math
Grammar
1

5(v−3)=6v+2 

What is the solution to the equation shown above? 

-17

1

Science, law, and computer programming are all a profession suited for left-brained thinkers.

a. NO CHANGE

b. a career

c. an area of specialization 

d. fields

D
1

Aubrey can run at a pace of 6 miles per hour. Running at the same rate, how many miles can she run in 90 minutes?

9 minutes

1

The pink land iguana and the dragon millipede are two representative of animals that are naturally rosy in hue.

a. NO CHANGE

b. circumstance

c. examples

d. case

C
1

10(23+7)=100x + 100x

What is the value of x in the equation above?

3/2

1

Ethnographers work anywhere from communities in small villages to bustling cities, but its work is always the same:

a. NO CHANGE

b. their

c. her

d. my 

B

1

4-(1/3)z = -7z+6

What is the solution to the equation shown above? 

3/10

1

Astounded, the sunken ship they had encountered was inspected closely by the divers as they swam closer.

a. NO CHANGE

b. an inspection was needed as the divers swam closer to the sunken ship they had encountered. 

c. the diver swam closer to inspect the sunken ship they had encountered. 

d. the encounter with the sunken ship led the divers to swim closer and inspect.

C

2

If a is an odd integer and b is an even integer, which of the following is an odd integer?

a. 3b

b. a + 3

c. 2(a + b)

d. a + 2b

d. a+2b

2

Also, studies have found that those students who major in philosophy often do better than students from other majors in both verbal reasoning and analytical writing. These results can be measured by standardized test scores.

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

A) writing as
B) writing, and these results can be
C) writing, which can also be
D) writing when the results are

A

2

Ali, Ben, and Carla made a total of 20 sandwiches. Ben made 3 times as many as Ali and Carla made twice as many as Ben. How many sandwiches did Ali make?

2

2

On their "Strange American Foods Tour," Ida and Jeff discovered three of the country's oddest (and most delicious) desserts: deep fried Coke, bacon doughnuts, and cherpumple—three pies inside a cake.

a. NO CHANGE

b. desserts,

c. desserts;

d. desserts 

A

3

p=(1/2)kx^2

As springs compress or stretch, potential energy in joules, p, is stored in them according to the equation above, where k is the spring constant in newtons per meter and x is the distance the springs compress or stretch. Tractor seats are mounted on springs to absorb impact. If the springs have a spring constant of 25600 newtons per meter, what is the distance, in meters, the springs must compress or stretch in order to store 8 joules of potential energy?

0.025

3

Which choice most effectively maintains the stylistic pattern established earlier in the sentence?

According to the World Heritage Site, there are three things everyone must do when they visit the city of Prague in the Czech Republic: Walk along the Charles Bridge. See a production at the state opera house. Eating goulash and dumplings is also an imperative.

a. NO CHANGE

b. Goulash and dumplings must also be eaten

c. Eat a meal of goulash and dumplings.

d. A meal of goulash and dumplings is essential.

C

3

In a right triangle, one angle measures x°, where sin(x°) = 4/5. What is cos(90°-x°)?

4/5 or 0.8

3

The author wants to use words that imitate the sound of air. Which choice best accomplishes this goal?

As Bailey punctured the basketball, the air swiftly whooshed out of it.

a. NO CHANGE

b. rapidly and consistently ran

c. escaped furiously

d. quickly came pouring

A

5

In triangle ABC, the measure of angle B is 90 degrees, BC=16, and AC=20. Triangle DEF is similar to triangle ABC, where vertices D, E, and F correspond to vertices A, B, and C, respectively, and each side of triangle DEF is 1/3 the length of the corresponding side of triangle ABC. What is the value of sin(F)?

3/5 or 0.6

5

[1] The main environmental problem caused by the production of Greek yogurt is the creation of acid whey as a by-product. [2] Because it requires up to four times more milk to make than conventional yogurt does, Greek yogurt produces larger amounts of acid whey, which is difficult to dispose of. [3] To address the problem of disposal, farmers have found a number of uses for acid whey. [4] They can add it to livestock feed as a protein supplement, and people can make their own Greek-style yogurt at home by straining regular yogurt. [5] If it is improperly introduced into the environment, acid-whey runoff can pollute waterways, depleting the oxygen content of streams and rivers as it decomposes. [6] Yogurt manufacturers, food scientists; and government officials are also working together to develop additional solutions for reusing whey.

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

A) where it is now.
B) after sentence 1.
C) after sentence 2.
D) after sentence 3.

C

5

If 3x-y=12, what is the value of (8^x)/(2^y)?

a. 2^12

b. 4^4

c. 8^2

d. The value cannot be determined from the information given.

a. 2^12

5

Typically, the ice sheet begins to show evidence of thawing in late summer, following several weeks of higher temperatures. For example, in the summer of 2012, virtually the entire Greenland Ice Sheet underwent thawing at or near its surface by mid-July, the earliest date on record.

A) NO CHANGE
B) However,
C) As such,
D) Moreover,

B