Transcript C - Net Start Class

th
8
Grade
TAKS Short
Course
Objective 1
Mr. Devereaux plans to purchase a new home entertainment center
on a financing plan. He must make an initial down payment that is a
portion of the total cost. The table below shows the down payments
that four different stores require. If the entertainment center costs
the same at each store, which store requires the smallest down
payment?
Store
Home Audio
15%
Music and More
1
5
Sound Savings
A
Home Audio
B Music and More
C Sound Savings
D Discount Center
Down Payment
Discount Center
1
8
18%
8.1(A) The student is expected to
compare and order rational
numbers in various forms,
including integers, percents, and
positive and negative fractions
and decimals
1. A librarian arranged some
books on the shelf using the
Dewey decimal system. Choose
the group of book numbers that is
listed in order from least to
greatest.
A)
B)
C)
D)
549.010, 549.101, 549.02, 549.3
392.4, 397.46, 399.53, 399.062
101.2, 101.04, 104.21, 110.0
834, 834.19, 834.2, 834.29
D) 834, 834.19, 834.2, 834.29
2. Which fraction is between
3
and 4 ?
1
A)
2
3
B)
8
5
C)
7
7
D)
8
2
3
5
C)
7
2
 0.666
3
3
 0.75
4
5
 0.7142757143
7
3. Several stores are having sales. The
prices are reduced by 62.5%, , 75%, , and .
Which list shows the price reductions from
greatest to least?
1 2 7
A)75%,62.5%, , ,
2 3 10
7 2
1
B )75%,
, ,62.5%,
10 3
2
7
1 2
C )75%,
,62.5%, ,
10
2 3
7
2 1
D )75%,
,62.5%, ,
10
3 2
7 2
1
B)75%, , ,62.5%,
10 3
2
2
0.750,0.700,0.66 ,0.625,0.500
3
8.1(B) The student is
expected to select and use
appropriate forms of rational
numbers to solve real-life
problems, including those
involving proportional
relationships
4. A bag of mixed Yummy Gummies
contains 26% green, 34% red, 24%
blue, and 16% yellow gummies. Carla
put 250 mixed gummies in a bowl.
Which proportion can be used to find
y, the total number of yellow gummies
in the bowl?
A)
C)
250 16

5
100
100 y

250 16
B)
D)
16
y

100 250
16 150

100
y
16 out of 100 yellow gummies.
Carla put 250 mixed gummies
B)
16
y

100 250
5. An electronic device counted
3,962 vehicles passing through an
intersection during a 7-hour period.
If the number of vehicles passing
through this intersection per hour
remains the same, write a proportion
that can be used to find x, the
number of vehicles that would be
counted by the device during a 9hour period?
3,962 vehicles passing through an
intersection during a 7-hour period
x
9-hour period?
3962 x

7
9
6. Carlos, Jackie, Lester, and
Margie ate lunch at a restaurant.
The total amount of the bill,
including tax and tip, was $44.60.
Carlos paid $15.00, Jackie paid of
the bill, Lester paid 20% of the bill,
and Margie paid the rest of the bill.
How much did each person pay on
the bill?
$44.60. Carlos paid $15.00,
1
Jackie paid 4 of the bill, Lester
paid 20% of the bill, and Margie
paid the rest of the bill.
44.60  4  $11.15 Jackie
44.60  0.20  $8.92 Lester
15  11.15  8.92  $35.07
44.60  35.07  $9.53M arg ie
$15.00Carlos
7. The Texas state flag is rectangular and has a
width-to-length ratio of 2:3. Which of the
following can be used to find l, the length of a
Texas state flag with a width of 28 inches?
A)
2 + 28 = 3 + l
B)
C)
2 28

3
l
D)
2 l

28 3
2 · 28 = 3 · l
2:3. Which of the following can be
used to find l, the length of a Texas
state flag with a width of 28 inches
2 28

3 l
2width 28width

3length x..length
C)
2 28

3
l
8.1 (C) The student is
expected to approximate
mentally the value of irrational
numbers as they arise from
problem situations (such as
, 2 )
8. The area of a square is 125
square meters. Which is the
approximate length of a side of
the square to (the nearest
meter)?
125 
144  12
121  11meters
125  11.1
9. Mr. Harrington wrote four
irrational numbers on the board and
asked Jared to choose the number
closest to 3. Which irrational
number should Jared choose?
A)
C)
6
12
B)
D)
10
14
B)
10
10. The area of a square is 83
square meters. Which of these
is closest to the length of each
side of the square?
A) 9.1 m
C) 8.9 m
B) 9 m
D) 8 m
A) 9.1 m
81  9
83  9.1
8.1 (D) The student is
expected to express
numbers in scientific
notation, including negative
exponents, in appropriate
problem situations
11. A certain bacterium measures
approximately 0.000015
millimeter in length. How is this
length expressed in scientific
notation?
0.000015  1.5 10
5
12. The diameter of a blood cell is
measured in micrometers. A
micrometer is 0.000001 meter. How
is this expression represented in
scientific notation?
0.000001= 1.0 x 10-6
13. The sun’s core temperature
reaches close to
2.7 × 107 degrees Fahrenheit.
Which of the following represents
this temperature in standard
notation?
A)
B)
C)
D)
270,000°F
2,700,000°F
27,000,000°F
270,000,000°F
C) 27,000,000°F
14. Mr. Loya stated that the
circumference of Earth at the
equator is 24,902.4 miles. Which
expression represents this
number in scientific notation?
A)
C)
2.49024 × 104
249.024 × 104
B)
D)
24.9024 × 104
2.49024 × 105
A 2.49024 × 104
(8.2) (A) The student is
expected to select
appropriate operations to
solve problems involving
rational numbers and
justify the selections
15. Jasmine has an average of 95 on
15 quiz grades. If her teacher drops
Jasmine’s lowest grade, a 72, which
equation can be used to find n,
Jasmine’s new quiz average?
A)
95  72
n
14
(95  15)  72
14
B)
n
C)
(95  15)  72
n
15
D)
n
95(72  15)
14
(95  15)  72
n
14
B)
16. Ms. Gonzalez’s monthly electricity bills for
March through June were $97.09, $103.96,
$114.73, and $121.82. She estimated that the
electricity cost a total of $400.00 over these 4
months. Which best describes her estimate?
A) Less than the actual amount because she
rounded to the nearest $100
B) Less than the actual amount because she
rounded to the nearest $10
C) More than the actual amount because she
rounded to the nearest $100
D) More than the actual amount because she
rounded to the nearest $10
A) Less than the actual
amount because she
rounded to the nearest
$100
17. Three roommates agreed to
split the cost of food and rent
evenly. Last month they spent a
total of $349.66 for food and
$365 for rent. Find the amount
that each of the 3 roommates
paid.
$238.22
18. The Webster Junior High faculty includes 37
teachers. The principal’s and teachers’ annual
salaries total $1,266,140. If the principal’s salary
is $54,250, which equation can be used to find s,
the average salary for a teacher at Webster
Junior High?
A
B
(1,266,140  54,250)
s
37
C
54,250
37
D
s  1,266,140 
s  1,266,140 
s
54,250
37
(1,266,140  54,250)
37
D
(1,266,140  54,250)
s
37
19. A water tank contains 2,500 gallons. A faucet
attached to the tank releases water at a constant rate
of 5 gallons per minute. If the faucet is left open for 1
hour and no other water is released, which equation
can be used to find r, the number of gallons of water
remaining in the tank?
A)
B)
C)
D)
r = 2,500 ÷ 5
r = 2,500 − 60
r = 2,500 − 60(5)
r = 2,500 ÷ 60(5)
C) r = 2,500 − 60(5)
20. To cover
his
bulletin
board,
Mr.
Adams
1
1
needs 1 2 yards of fabric and 6 4 yards of
trim. If the fabric costs $2.79 per yard and
the trim costs $1.19 per yard, which
equation can be used to find c, the total
cost of covering the bulletin board?
A)
B)
C)
D)
c = (2.79 + 1.5) + (1.19 + 6.25)
c = (2.79 · 1.5) + (1.19 · 6.25)
c = (2.79 + 1.5) − (1.19 + 6.25)
c = (2.79 · 1.5) − (1.19 · 6.25)
B) c = (2.79 · 1.5) + (1.19 · 6.25)
(8.2) (B) The student is
expected to use
appropriate operations
to solve problems
involving rational
numbers in problem
situations.
21. On Friday the low
temperature in Nome, Alaska,
was −12°F, and the high
temperature was 23°F. How
much warmer was the high
temperature than the low
temperature?
23
0
12
12  23  35
2
3
22. A gift basket contains
6
ounces
of
1
chocolate candy, 4 2 ounces of hard
candy, and 4 ounces of dried fruit. What
is the total weight of the contents of the
gift basket?
2
1
6 4 4
3
2
4
3
6 4 4
6
6
7
1
14  15
6
6
23. A jeweler bought 2 meters of
silver chain. She used 20
centimeters to make a bracelet
and 60 centimeters to make a
necklace. How many meters of
silver chain did she have left?
1meters  100cm
2meters  200cm
200cm  60cm  140
140cm  20cm  120cm
120cm 1meter

1
100cm
120m
 1.2meters
100
1
2
24. A recipe for1 12 waffles calls for 11
cups of milk, 2 4 cups of flour, and 1 3 cups
of other ingredients. How many cups of
milk, flour, and other ingredients are
needed to make 36 waffles?
A)
C)
20
12
1
3
1
4
cups
cups
B)
D)
1
15 4
1
5 12
cups
cups
D)
5
1
12
cups
(8.2) (C) The
student is expected
to evaluate a
solution for
reasonableness;
25. Rae’s recipe for lemon-lime punch calls for the
following ingredients:
1 quart of apple juice
3
2 cups of lemon-lime soda
4
64 ounces of pineapple juice
2 quarts of cold water
1
cup of lemon juice
4
What is the smallest container that will hold all the
ingredients?
A) A 4-quart container
B) A 5-quart container
C) A 6-quart container
D) A 7-quart container
1 quart of apple juice
3
2 4 cups of lemon-lime soda
64 ounces of pineapple juice
2 quarts of cold water
1
cup of lemon juice
4
3
3
1  2  2  5
4
4
C) A 6-quart container
26. Cody’s parents bought a big-screen
television for $1,099.99 and a DVD
player for $99.99, including tax. Cody’s
parents plan to pay the total amount in 18
equal monthly payments. What is a
reasonable amount for each monthly
payment?
A)
C)
$50.00
$113.00
B)
D)
$150.00
$67.00
D)
$67.00
27. Sean is planning a trip of 1,450 miles.
He plans to drive between 250 and 300
miles each day. At this rate, which is a
reasonable number of days it will take
Sean to complete his trip?
A)
B)
C)
D)
Less than 4 days
Between 4 and 6 days
Between 6 and 8 days
More than 8 days
B) Between 4 and 6 days
1450
 5.8
250
1450
 4 .8
300
1,450 miles. He plans to drive between 250 and 300
28. Anthony helps his father with his lawnmowing service. His father charges from
$25.00 to $50.00 per lawn depending on the
size of the lawn to be mowed. Last Saturday,
Anthony and his father spent 6 hours mowing 3
lawns. If Anthony’s father actually charged
$25.00 for the smallest lawn and $50.00 for the
largest lawn, about how much could Anthony’s
father have charged for all 3 lawns?
A)
C)
$75
$110
B)
D)
$95
$150
D)
$150
(8.2) (D) The student is
expected to use multiplication
by a constant factor (unit rate)
to represent proportional
relationships
29. The Childress family went on a
camping trip. They paid $28.00 for a 2night stay at a camp ground that allows a
maximum stay of 30 nights. Which
equation can they use to find c, the cost of
camping at this camp ground for the
maximum number of nights?
A)
C)
c = 60 · 56
c = 28 · 28
B)
D)
c = 30 · 28
c = 30 · 14
D)
c = 30 · 14
30. Which equation can be used to
find m, the number of minutes in h
hours?
A)
C)
m = 60 − h
m = h ÷ 60
B)
D)
m = h + 60
m = 60h
D)
m = 60h