NAME
DATE
PERIOD
SCORE
Countdown: 12 Weeks
1.
Margarito is drawing diagrams of a work system and wishes to show some
of his calculations in a presentation to his colleagues. However, he has
room only to show his numbers to the thousandths place. 7.NS.2, 7.NS.2d
Part A: Sort the calculations into the appropriate bins by those that he
had to round and those that he did not.
2.3587
_3
8
Rounded
4π
10
_
9
_9
10
Not Rounded
15
_
4
√
20
Think Smart for SBAC
On the actual test, you might
be asked to drag the
numbers to a bin. In this
book, you will be asked to
write each number in the
space provided.
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
Part B: After looking at his completed presentation, Margarito decides to
use a bar over any repeating decimals instead of rounding them. Explain
which calculations he still had to round.
2.
_1
Ling’s savings account increases by 4 % every month from interest. He
deposits x dollars into his account. Select all of the expressions that
represent the amount of money in his account after the interest is paid for
the third month. 7.EE.2
x(1.25)(1.25)(1.25)
3(1.0025)(x)
(1.0025)3x
x(1.0025)(1.0025)(1.0025)
x(1 + 0.25)(1 + 0.25)(1 + 0.25)
x(0.0025)(0.0025)(0.0025)
(1.25)3x
(1 + 0.0025)(x)(1 + 0.0025)(1 + 0.0025) 3(1.25)(x)
Course 2 • Countdown • 12 Weeks
29
3.
An elevator has a maximum capacity of 950 pounds, and there must be
an attendant working in the elevator at all times. A customer asks for the
range of the number of people that the elevator can hold, not including
the attendant. Assume that the average person weighs 155 pounds.
Answer the customer’s question. Include in your answer the equation or
inequality that you used to find the solution. 7.EE.4, 7.EE.4b
4.
A company surveys its customers at several locations
to see how well the employees are performing. The
table shows the ratings. The manager at one location
promises her employees a party if they end up with a
positive score. Select the scenarios that would not
result in the store getting a party. 7.EE.3
13 Ds and 14 As
Response
Rating
Letter
+1
A
+0.5
B
Average
0
C
Below average
–1
D
Poor
–2
F
Excellent
Above average
1 D, 10 Cs, and 3 Bs
4 As, 8 Bs, 1 C, 4 Ds, and 2 Fs
4 Fs and 9 Bs
5.
Day
Monday
Course 2 • Countdown • 12 Weeks
60 lb in 5 h
Tuesday
y = 8x
Wednesday
Thursday
Friday
30
Pounds
Ratio of
Pounds Caught
Caught, y, Hours to
in a Given Time
per Hour, x Pounds
3:27
50 lb in 270 min
3y = 40x
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
A fisherman examines how many
pounds of fish he caught one week
at a local lake. The table shows the
amounts. He decides that if he isn’t
catching over 10 pounds of fish per
hour on at least half of the days, he
is going to move to a different lake.
Explain whether the fisherman
changed lakes. 7.RP.2, 7.RP.2b
NAME
DATE
PERIOD
SCORE
Countdown: 11 Weeks
1.
Crystal is planning a birthday party. It will cost A dollars per person p.
There is a charge B for the room. The tax is 9%, and the tip for the party
hostess is 10% of the total bill, including tax. Sort the expressions into the
appropriate bins by whether they represent the total bill or not. 7.EE.2
(Ap + B)(0.09)(0.10)
(Ap + B)(1.09)(1.1)
(Ap + B)(1.09)
(A + Bp)(1.09)(1.1)
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
Represents Total Bill
Ap(1.09)(1.1) + B(1.09)(1.1)
(A + B)(0.09)(0.1)
Does Not Represent Total Bill
2.
Light travels at roughly 3 x 108 meters per second. Sound travels at
roughly 34,000 centimeters per second. About how many times faster
does light travel than sound? Write your answer in scientific notation,
rounded to the nearest hundredth. 7.NS.3
3.
A new club opens with 20 members, plus an unknown number of
members x from another club. The club allows only members to join
once a year. After the first year, the number of total members doubles.
The following year, half of the members that joined from the other club
leave, but another 40 people join. After the third year, the total number
of members triples. Give a non-simplified expression that represents the
total number of members at the club after the third year. Then simplify
your expression. 7.EE.1
Non-simplified expression:
Simplified expression:
Course 2 • Countdown • 11 Weeks
31
4.
Korteza takes 36 minutes 30 seconds to play 4 holes at a
miniature golf course. She thinks about the number of holes x
she completes in y minutes. Select whether each statement is
true or false. 7.RP.2, 7.RP.2b, 7.RP.2c
True
False
The ratio of played holes to minutes can be written
as 2:18.25.
Think Smart for SBAC
On the actual test, you might
be asked to click the
appropriate box for each
statement. In this book, you
will be asked to shade in the
boxes instead.
Korteza plays a hole every 9 minutes 10 seconds.
_1
The equation y = 9 x represents the relationship.
8
On a graph of this proportional relationship, the line would
pass through the point (45.625, 5).
Her unit rate of holes played per minute is about 0.11.
5.
Course 2 • Countdown • 11 Weeks
Student
Test Scores
A
100, 90, 80, 70, 75
B
75, 77, 80, 90, 95
C
50, 62, 75, 68, 100
D
54, 50, 75, 80, 99
E
100, 75, 100, 90, 85
F
99, 98, 88, 90, 75
G
80, 85, 87, 88, 89
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
32
The table shows 5 test scores for some
students in the same class. The teacher
decides that she is going to give another
assignment for extra credit if at least half
of the students did not make an average
of 80 or better on the 5 tests. Did she give
another assignment for extra credit? Why
or why not? 7.EE.3
NAME
DATE
PERIOD
SCORE
Countdown: 10 Weeks
1.
Select all of the scenarios in which the initial location or measurement is
equal to the final location or measurement. 7.NS.1, 7.NS.1a
A bird travels 5 meters east, then 5 meters west, then 1 meter south.
The temperature of water is raised 25°C, then lowered 25°F.
An airplane is at 35,000 feet, then descends to 29,100 feet, then
rises 5,900 feet.
A baseball player throws a ball straight up 50 feet and then catches
it back in his glove.
A football is thrown from ground level and lands in a second-story
balcony 15 feet high.
A man deposits $45 into his account. The next day, he makes
3 deposits of $20 each. A week later, he withdraws $105.
2.
A student buys 3 pounds of nuts for $4.50. Another student buys
5.5 pounds of nuts from the same store for $8.25. A third student buys
4.5 pounds of nuts from the same store for $6.75. 7.RP.2, 7.RP.2a
Money Spent ($)
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
Part A: Plot the points on the graph, and connect them with a line,
if possible.
10
9
8
7
6
5
4
3
2
1
0
y
Think Smart for SBAC
On the actual test, you might
be asked to click the buttons
to plot points and graph a
line. In this book, you will be
asked to draw the points
and the line on the
coordinate plane provided.
x
1 2 3 4 5 6 7 8 9 10
Amount of Nuts (lb)
Part B: Is the relationship proportional? Explain why or why not.
Course 2 • Countdown • 10 Weeks
33
3.
A carpenter builds a wooden fence around 3 sides of his rectangular
backyard, as shown in the diagram. The backyard is twice as
long as it is wide. 7.EE.4, 7.EE.4a
b
a
a
Part A: Write an expression for the length of the fence using
only the variable a.
Part B: The perimeter of the entire backyard is 60 ft. Using the
expression from Part A, write an equation modeling this scenario again
using only the variable a.
Part C: Solve your equation to find the total length of the fence.
4.
Select all of the scenarios that would require an inequality to solve.
7.EE.4, 7.EE.4b
A customer has a $5 bill and wishes to buy as many $0.33 bags of
cashews as possible.
Each of the 6 rooms in a building has a capacity of 100 people. How
many people could be in the building?
y is twice the value of x, which is a quarter the value of z. The
values of x and z are known. What is the value of y?
5.
34
_1
scale and
A construction worker is looking at blueprints drawn to a
20
notices that a wall on the blueprints is 0.5 feet by 0.25 feet. He claims that
the area of the actual wall should be 20 times the area that it is on the
blueprints. Explain if he is correct or incorrect. 7.G.1
Course 2 • Countdown • 10 Weeks
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
A homeowner fills his outdoor pool 8 times, using a total of
640 cubic feet of water. He wishes to know the volume of the pool.
NAME
DATE
PERIOD
SCORE
Countdown: 9 Weeks
1.
A circular window with a circumference of 10 feet is to be placed into a
wall at a new home. The builder cuts a hole for the window and says that
it has an area of at least 8 square feet. Explain why she is right or wrong.
7.G.4
2.
A store manager gets a percentage of his store’s profits x as a
bonus in dollars y. Select all of the equations that could represent
this relationship. 7.RP.2, 7.RP.2c
y = 0.03x
100y = x
y = 0.1x + 40
Think Smart for SBAC
On the actual test, you
might be asked to click all
of the correct answer
choices. In this book, you
will be asked to shade a
box next to each correct
answer choice.
y = 4x
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
0.25y = x
3.
A storage locker has the shape of a cube. Each side has a whole-number
length. 7.NS.2, 7.NS.2d, 7.G.6
Part A: Circle all the values that could be the volume of the locker.
64 yd3
144 ft3
9 yd3
100 ft3
125 ft3
Part B: Explain why you selected the choices you did.
Course 2 • Countdown • 9 Weeks
35
4.
Penelope receives a percentage of the sales price as commission for
every unit she builds. She builds the same number of units every hour.
Select whether each equation represents the situation described. 7.EE.2
True
False
23x = 270, where x is the number of hours worked. She built
20 units each hour, gets a 15% commission, and earned
$270. Each unit sells for $15.
240x = 80, where x is the commission percentage. She
worked 8 hours, built 10 units each hour, and earned $80.
Each unit sells for $3.
18x = 144, where x is the price of each unit. She worked
6 hours, built 12 units each hour, gets a 25% commission,
and earned $144.
64 = 896x, where x is the number of units built per hour. She
worked 8 hours, gets a 20% commission, and earned $896.
Each unit sells for $5.
5.
Course 2 • Countdown • 9 Weeks
Method
Description
A
surveying every fifth student in
the cafeteria at lunch
B
surveying the basketball team
C
surveying random teachers
D
surveying the students in his first,
second, and third period classes
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
36
Frank wants to know the favorite sport of his
classmates. Which survey method(s) would
most likely provide him unbiased results?
Explain. 7.SP.1