Module I: Math
The function gg
is defined by g(x)=
x. For what value of xx
is g(x)=60?
Which choice completes the text with the most logical and precise word or phrase?
20
180
Which expression
is equivalent to (
)(x
) , where x, y, and z are positive?
Which choice completes the text with the most logical and precise word or phrase?
Which choice completes the text with the most logical and precise word or phrase?
9π 
36π
72π
144π
If x+y=12 and x−y=4, what is the
value of 
−
?
The point with coordinates (a,
) lies on the line shown. What is the value of a?
Answer:
Each of the dot plots shown represents the number of pages read by each student in two classes, Class A and Class B. Which statement best compares the standard deviations of the numbers of pages read by each student in these two classes?
The function ff is defined by f(x)=2−18. What is one xx-intercept of
the graph of y=f(x) in the
xy-plane?
A small ice cream shop observes that the amount of ice cream sold is related to the daily temperature. The table relates the temperature, in degrees Celsius (°C., to the number of ice cream cones sold. Which of the following statements best describes the relationship?
Data set AA and data set BB each consist of 25 values. The table shows the frequencies of the values for each data set. Which of the following statements best compares the means of the two data sets?
Which choice completes the text with the most logical and precise word or phrase?
v = 3 (
)
v = 3 (
)
v = 7 (
)
v = 7 (
)
The table shows the balance of Sofia's savings account at the end of each year, starting from when she deposited $10,000 in 2010. No additional deposits were made and the annual interest rate remained constant. What is the value of b, the balance at the end of 2013, rounded to the nearest dollar?
Answer:
Which choice completes the text with the most logical and precise word or phrase?
- 
0
3
The questions in this section address a number of important reading and writing skills.
Each question includes one or more passages, which may include a table or graph. Read
each passage and question carefully, and then choose the best answer to the question
based on the passage(s).
All questions in this section are multiple-choice with four answer choices. Each
question has a single best answer.
The questions in this section address a number of important reading and writing skills.
Each question includes one or more passages, which may include a table or graph. Read
each passage and question carefully, and then choose the best answer to the question
based on the passage(s).
All questions in this section are multiple-choice with four answer choices. Each
question has a single best answer.
The questions in this section address a number of important math skills.
Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.
Unless otherwise indicated:
- All variables and expressions represent real numbers.
- Figures provided are drawn to scale.
- All figures lie in a plane.
- The domain of a given function
fis the set of all real numbersxfor whichf(x)is a real number.
For multiple-choice questions, solve each problem and choose the correct answer from the choices provided. Each multiple-choice question has a single correct answer.
For student-produced response questions, solve each problem and enter your answer as described below:
- 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
3
1
2
), 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.
The questions in this section address a number of important math skills.
Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.
Unless otherwise indicated:
- All variables and expressions represent real numbers.
- Figures provided are drawn to scale.
- All figures lie in a plane.
- The domain of a given function
fis the set of all real numbersxfor whichf(x)is a real number.
For multiple-choice questions, solve each problem and choose the correct answer from the choices provided. Each multiple-choice question has a single correct answer.
For student-produced response questions, solve each problem and enter your answer as described below:
- 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
3
1
2
), 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.