Module II: Math
What value of xis the solution to the given equation?
A circle has a circumference of 
meters.
What is the diameter of the circle in meters?
5
10
15
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 
), enter it as an improper fraction (
) or its decimal equivalent (3.5).
Don't enter symbols such as a percent sign, comma, or dollar sign.
If 
, what is the value of 
?
Answer:
What is the negative solution to the given equation?
The total fee 
,
in dollars, for a 15-month storage unit
rental is given by 
where 
is the monthly
rental fee, in dollars. What is the total fee for the storage unit when the
monthly rental fee is 
?
The given
equation relates the distinct positive integers 
. Which equation correctly expresses 
in terms of 
and 
?
A certain
radioactive substance has a half-life of 3 years. If the initial amount of
the substance is 200 grams, the remaining amount, in grams, after 
years can be represented by an exponential function 
. Which equation could define ? The half-life is the period of time required for an
amount of the substance to decrease to one-half of that amount.
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 ), enter it as an improper fraction (
) or its decimal equivalent (3.5).
Don't enter symbols such as a percent sign, comma, or dollar sign.
A triangle has an area of 36 square centimeters and a base
of 9 centimeters. What is the height of the triangle in centimeters?
Answer:
Which expression is equivalent to 
?
Which
expression is equivalent to 
?
0
The function 
is defined by 
. What is the 
- intercept of the graph of 
in the 
-plane?
Which
point 
is a
solution to the given system of inequalities in the -plane?
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 
), enter
it as an improper fraction (
) or its decimal equivalent (3.5).
Don't enter symbols such as a percent sign, comma, or dollar sign.
A survey was conducted to find out how many cups of coffee people consume daily. The bar graph shows the number of people based on their daily coffee consumption. What is the mean number of cups of coffee consumed per day?
Answer:
A rectangular
room has a length of 
meters and a width of 
meters.
If the area of the room is 23 square meters, what is the value of ?
- 
- 
Data set 
consists of the
weights of 100 elephants and has a mean of 6,000 kilograms. Data set 
consists of the
weights of 60 elephants and has a mean of 5,000 kilograms. Data set 
consists of the
weights of the 160 elephants from data sets 
and . What is the
mean, in kilograms, of data set ?
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 ), enter it as an improper fraction 
) or its decimal equivalent (3.5).
Don't enter symbols such as a percent sign, comma, or dollar sign.
The function 
is defined by 
. In the 
-plane, the graph of 
is the result of translating the graph of 
up 5 units. What is the value of 
?
Answer:
Line 
is defined by 
. Line 
is perpendicular to line in the 
-plane and passes through the point 
. What is the equation of line ?
The given
equation defines the function . For what value of does 
reach its minimum?
Answer:
In the
figure above, DE is parallel to BC The length of BD can be expressed as 
. what is the value of 
?
