Module I: Math
A
cyclist is riding at a constant speed along a straight road. The equation 
determines the distance 
, miles, from a traffic light, that the
cyclist will be 
minutes after passing the light. How many
miles from the light will the cyclist be 4 minutes after passing the light?
Each number in the dataset represents the number of seeds in different apples:
What is the mean number of seeds in these apples?
Answer:
What is the area of a rectangle with a length of 
centimeters(cm) and
a width of 
cm?
Which
expression is equivalent to 
?
What is the negative solution to the given equation?
Answer :
The function 
is defined by 
,
and 
,
where 
is
a constant. What is the value of ?
A model predicts that the number of cars in a city was 
in 
. The
model also predicts that each year for the next 
years,
the number of cars 
will decrease by 
of the
previous year's number. Which equation best represents this model, where 
is the
number of years after , for 
?
If 
what is
the value of 
?
Answer:
The function 
is
defined by 
. What is
the value of 
?
Jacob's office is a 
-minute
walk or a
-minute
bus ride away from his home. The bus runs every 
minutes,
and the number of minutes, 
, that
Jacob waits for the bus varies between and . Which
of the following inequalities gives the values of for
which it would be faster for Jacob to walk to his office?
Given the following table of and 
values:
Which of the equations do all the and values
in the table satisfy?
If 
of 
is 
, what is of
?
In right triangle 
, the sum of the measure
of angle 
and angle 
is
degrees. The value of 
is 
. What is the value of 
?
A rectangle has a length of units
and a width of 
units.
If the rectangle has an area of 
square
units, what is the value of ?
Answer:
The maximum value of 
is 
more
than times
another number 
. Which
inequality shows the possible values of ?
James purchased a laptop for a total of 
by
making a down payment of 
and then
making monthly
payments of 
each. If
James paid off the laptop in full after monthly
payments, which of the following equations represents this situation?
The
side lengths of right triangle 
are given. What is the value of 
?
A lake holds
ubic meters of water. A machine starts to drain the
water at a steady rate of 
cubic
meters each minute. Which function best estimates the volume 
, in cubic meters, of water in the lake 
minutes after the machine starts, for 
?
In the
given equation, is a
constant. If the equation has infinitely many solutions, what is the value of
?
Answer:
Which of the following expressions is equivalent to the given expression, where 
?
The revenue of a company increased by 
each
year from 2016 to 2018. If the 2018 revenue is 
times
the 2016 revenue, what is the value of , rounded
to the nearest hundredth?
Which of the following expressions is
equivalent to 
, where 
and 
?
(9x+4y)3
