Download 8th Grade Countdown to SBAC Week 18

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Course 3
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NAME
DATE
PERIOD
SCORE
Countdown: 18 Weeks
1.
Imani is analyzing numbers. 8.NS.1, 8.NS.2
Part A: Select whether the number in each
situation is rational or irrational.
Rational
Irrational
A circumference of a circular picture
frame is 5π, or 15.7079632…, inches.
A bottle contains 0.6 kiloliters
of water.
The sales tax on a purchase
was 6.25%.
The net change in Patrick’s stock
was –$11.
__
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
Part B: The diagonal of a rectangular carpet is 6√3 feet long. Estimate
the length of the diagonal to the nearest tenth of a foot. Then explain why
you can only estimate the length, not find its exact value.
__
2.
_1
Enrique says that the value of √x is a rational number for any positive,
nonzero integer value of x. Select all of the values of x that could be used
as counterexamples to show that Enrique’s conjecture is false. 8.NS.1
x=1
x=2
x=4
x=5
x=8
x=9
Course 3 • Countdown • 18 Weeks
17
3.
The table shows the approximate populations of four capital cities in the
United States. Write the correct city to make each statement true. 8.EE.1
City
Augusta,
Maine
Cheyenne,
Wyoming
39
310
Population (approx.)
Jackson, Montpelier,
Mississippi
Vermont
311
38
_1 the population of Jackson.
The population of
is about
The population of
Montpelier.
is about 3 times the population of
The population of
is about 27 times the population of
3
Augusta
Cheyenne
Jackson
Montpelier
.
4.
The number line shows four points labeled A, B, C, and D. Select whether
each statement is true or false. 8.NS.2
Think Smart for SBAC
A
7
True
B
C
D
7.5
8
False
___
The value of √50 is between point A and point B.
___
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.
The coordinate of point C is less than √60 .
5.
City Cab Company charges $3.00 per ride plus $2.00 per mile traveled.
Metro Cab Company charges $1.50 per ride plus $2.50 per mile traveled.
Write an equation to find m, the number of miles for which the total cost
is the same for both taxi companies. Then solve the equation to find the
number of miles when the cost is the same, and state what that cost is.
8.EE.7, 8.EE.7b
Equation:
m=
miles
Cost for that number of miles:
18
Course 3 • Countdown • 18 Weeks
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
___
The coordinate of point D is greater than √63 .
Course 3 • Countdown
173
2.
1.
DATE
__
Rational
Irrational
PERIOD
x=9
x=8
x=5
x=4
x=2
x=1
_1
SCORE
Course 3 • Countdown • 18 Weeks
Enrique says that the value of √x is a rational number for any positive,
nonzero integer value of x. Select all of the values of x that could be used
as counterexamples to show that Enrique’s conjecture is false. 8.NS.1
__
irrational and its exact decimal value cannot be
written.
Part B: The diagonal of a rectangular carpet is 6√3 feet long. Estimate
the length of the diagonal to the nearest tenth of a foot. Then explain why
you can only estimate the length, not find its exact value.
__
10.4 ft; Sample answer: √3 is equivalent to__a decimal
that neither terminates nor repeats, so 6√3 is
The net change in Patrick’s stock
was –$11.
The sales tax on a purchase
was 6.25%.
A bottle contains 0.6 kiloliters
of water.
A circumference of a circular picture
frame is 5π, or 15.7079632…, inches.
Part A: Select whether the number in each
situation is rational or irrational.
Imani is analyzing numbers. 8.NS.1, 8.NS.2
Countdown: 18 Weeks
NAME
017-018_SBAC_A_C3_CD18_793945.indd 17
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
18
5.
4.
3.
.
Jackson
Augusta
Cheyenne
39
Augusta,
Maine
3
38
is about 27 times the population of
False
7.5
C
___
D
8
___
The coordinate of point D is greater than √63 .
___
The coordinate of point C is less than √60 .
The value of √50 is between point A and point B.
B
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.
3
Countdown
Course 3 • Countdown • 18 Weeks
$9.00
miles
3 + 2m = 1.5 + 2.5m
Cost for that number of miles:
3
m=
Equation:
City Cab Company charges $3.00 per ride plus $2.00 per mile traveled.
Metro Cab Company charges $1.50 per ride plus $2.50 per mile traveled.
Write an equation to find m, the number of miles for which the total cost
is the same for both taxi companies. Then solve the equation to find the
number of miles when the cost is the same, and state what that cost is.
8.EE.7, 8.EE.7b
True
7
A
Montpelier
Jackson
Cheyenne
Augusta
Think Smart for SBAC
_1 the population of Jackson.
311
Jackson, Montpelier,
Mississippi
Vermont
is about 3 times the population of
is about
310
Cheyenne,
Wyoming
The number line shows four points labeled A, B, C, and D. Select whether
each statement is true or false. 8.NS.2
Montpelier
The population of
The population of
Montpelier.
The population of
Population (approx.)
City
The table shows the approximate populations of four capital cities in the
United States. Write the correct city to make each statement true. 8.EE.1
30/10/14 2:34
PM
017-018_SBAC_A_C3_CD18_793945.indd
18
17
Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom
30/10/14 2:34 PM
Countdown: 18 Weeks
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.