Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![76. If <, a = 2a and ab = 18, what is the value
79. Three students run around the same
a
racetrack at different speeds. Ben runs a lap
of b?
in 3 minutes, Zoey runs a lap in 4 minutes,
and Sarah runs a lap in 6 minutes. If they all
А. 2
start at the same spot, after how many
В. 3
minutes will the all be at the same spot at the
С. 6
same time?
D. 9
A. 8 minutes
B. 12 minutes
77. The fraction is halfway between 0.5 and what
C. 18 minutes
fraction?
D. 24 minutes
A.
80. The length of a rectangle is twice the sum of
В.
4
its 2 widths. If the area is 36, what is the
perimeter?
С.
8
A. 18
В. 24
15
D.
16
С. 30
D. 36
78.
Earnings
250
81. During the week, Joe makes three times the
number of doughnuts that Bob makes. Bob
200
makes only half as many doughnuts as Jesse
makes. If Jesse makes 160 doughnuts, how
many doughnuts does Joe make?
150
100
50
A. 160
В. 240
2
4
6.
10
С. 480
Number of hours worked
D. 960
The graph shows the relationship between
the number of hours Megan works and the
amount she earns. How much does Megan
earn per hour?
A. $10.00
B. $15.00
Amount earned](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3d19f70-133c-4ec1-bd29-549088600b14%2F16d57caa-c39a-4402-9f9f-2f33acb423d4%2F9o7xfcl_processed.jpeg&w=3840&q=75)
![87. A paw patrol sticker book has exactly 64 stickers,
91.
Stella's Book Collection
Book category
Mystery
Biography
Science Fiction
containing four characters: Chase, Marshall, Skye
Number of books
12
and Rubble. 1/4 of the stickers has multiple
characters on them, of which Chase appears on
7
%. Chase also appears on 12 stickers by himself.
What is the probability when choosing a sticker
4
Romance
Stella's bookshelf contains her book collection, as
outlined above. Which category of book has
exactly 1/4 chance of being picked at random from
at random that you will pick one without Chase?
А. 5/16
the shelf?
В. 9/16
С. 11/16
D. 3/4
A. Mystery
B. Biography
C. Science Fiction
88. A (5,1) lies on a circle whose center is O (1,5).
D. Romance
If AB is a diameter, what are the coordinates
92. If 20% of the science students at Central High
of B?
study only physics, 25% study only chemistry
and the rest study only biology, what is the
smallest number of science students who
А. (3,3)
В. (-1,5)
С. (1,10)
D. (-3,9)
could be studying biology?
А. 4
В. 9
89. If 2x - 1 = 9, what is 10x - 5?
С. 11
D. 15
А. 35
В. 45
93. What is
volume,
cubic inches,
cu
С. 55
whose total surface area is 216 square inches?
D. 75
А. 6
В. 18
С. 36
90. Hoover High School has 840 students, and the
ratio of the number of students taking
D. 216
Spanish to the number not taking Spanish is
94. In a class, 20 children were sharing equally the
cost of a present for their teacher. When 4 of
4:3. How many of the students take Spanish?
the children decided not to contribute, each of
A. 280
the other children had to pay $1.50 more. How
В. 360
much, in dollars, did the present cost?
C. 480
D. 560
А. 50
B. 80
С. 100
D. 120](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3d19f70-133c-4ec1-bd29-549088600b14%2F16d57caa-c39a-4402-9f9f-2f33acb423d4%2Fcqlp0x_processed.jpeg&w=3840&q=75)
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