MaThparta DAY 3
DAY3 Question 1:
−8� � + 7 = 16
One solution to the given equation can be written as � =−
the value of
�
�
?
�+ �
2
, where s and t are positive integers. What is
DAY3 Question 2:
Right rectangular prism X is similar to right rectangular prism Y. The surface area of right rectangular prism
X is 52 square centimeters (cm2), and the surface area of right rectangular prism Y is 1,872 cm2. The volume
of right rectangular prism X is 10.5 cubic centimeters (cm3). What is the volume, in cm3, of right rectangular
prism Y?
DAY3 Question 3:
38�14 + ��7 + 30
In the given expression, b is a positive integer. If ��7 + � is a factor of the expression, where q and r are
positive integers, what is the greatest possible value of b?
DAY3 Question 4:
The cost of renting a piece of equipment is $72n for the first day and $36n for each additional day, where n is
a positive integer. Which of the following functions gives the cost C(x), in dollars, of renting this equipment
for x days, where x is a positive integer?
A. � � = 36�� + 36�
B. � � = 36�� + 72�
C. � � = 72�� + 36�
D. � � = 72�� − 36�
DAY3 Question 5:
0.7� + 0.35� = 1.75
0.35� + 0.7� = 2.45
The solution to the given system of equations is � , � . What is the value of y ?
DAY3 Question 6:
� = 7,700 0.86 �
The given equation estimates the value, in dollars, of a certain car x years after it was purchased. According
to the given equation, what was the estimated value, in dollars, of the car at the time it was purchased?
A. 770
B. 6,622
C. 7,700
D. 8,600
DAY3 Question 7:
A space probe uses a square-shaped solar sail to move through space. The side length of the solar sail is
8.75w meters, where w is the width, in meters, of the space probe. Which equation gives the area , in square
meters, of the solar sail?
A. � = � + 8.75 � + 8.75
B. � = 4 8.75�
C. � = 8.75� 8.75�
D. � =
8.75
�
8.75
�
DAY3 Question 8:
△QPR is similar to △STR. The length represented by ��, ��, ��, and �� in the figure are 11, 18, 24,
and 30, respectively. What is the length of ��?
A.
330
B.
330
C.
198
D.
198
18
24
24
30
DAY3 Question 9:
� � = � − 66 � − 68
The function f is defined by the given equation. For what value of x does � � reach its minimum?
A. 68
B. 67
C. 66
D. −1
DAY3 Question 10:
15� + � = 13
30� + 2� = 26
How many solutions does the given system of equations have?
A. Exactly one
B. Exactly two
C. Infinitely many
D. Zero
0
