Transcript 7th Grade - Net Start Class

th
7
Grade
TAKS Short Course
Objective 6
7.13(A) The student is
expected to identify and apply
mathematics to everyday
experiences, to activities in
and outside of school, with
other disciplines, and with
other mathematical topics;
1. Susan has 3 siblings: Ted, Kathy,
and Jake. Susan is older than Jake.
Ted is younger than both his sisters but
older than his brother. What information
is needed to determine the order of the
siblings from oldest to youngest?
A) Is Kathy older or younger than Ted?
B) Is Jake older or younger than Susan?
C) Is Susan older or younger than Kathy?
D) Is Ted older or younger than Jake?
Susan, Kathy
Ted
Jake
C)
Is Susan older or younger than Kathy?
2. The net profit of a company for each of 5
consecutive years is shown in the table.
Which statement is supported by the information in the table?
A) The net profit in 1987 was 20% greater than the net profit in
1986.
B) The greatest increase in net profit for 2 consecutive years
occurred from 1984 to 1985.
C) The greatest decrease in net profit for 2 consecutive years
occurred from 1985 to 1986.
D) The sum of the net profits for 1984 and 1985 was greater than
the sum of the net profits for 1986 and 1987.
B) The greatest increase in net profit
for 2 consecutive years occurred from
1984 to 1985.
13.1 12.4  0.6
3. Mrs. Vega needed to make 2 costumes
for a school play. The larger costume required
1
4 4 yards of material, and the smaller costume
3
required 4 yard less than the larger one.
Which equation can be used to find n, the
number of yards of material needed for the
smaller costume?
1 3
A) n  4 
4 4
1 3
B) n  4 
4 4
1 3
C) n  4 
4 4
1 3
D) n  4 
4 4
1 3
D)n  4 
4 4
4. Ms. Abbot went on a road trip. The
trip was 792 miles, and the average
price of gasoline was $1.30 per gallon.
What information is needed to find the
amount Ms. Abbot spent on gasoline for
the trip?
A) Number of hours the trip took
B) Number of miles per hour the car traveled
C) Average number of miles the car traveled per gallon
of gasoline
D) Average number of miles Ms. Abbot drove per day
C) Average number of miles
the car traveled per gallon of
gasoline
5. A farmer knows the length and width of
his rectangular pasture. He also knows how
many pounds of fertilizer to spread per
square yard. What additional information
does the farmer need to know in order to
determine the number of bags of fertilizer
he should buy?
A) The type of grass in his pasture
B) The number of bags of fertilizer his truck will hold
C) The price of each bag of fertilizer
D) The number of pounds of fertilizer in each bag
D) The number of pounds of
fertilizer in each bag
6. The drawing below shows the
rotor of a helicopter.
This helicopter has a rotor that moves at a rate of 500 spins per
minute while flying. Which statement is best supported by this
information?
A) The helicopter rotor will spin 2,000 times in 40 minutes.
B) The helicopter rotor will spin 4,000 times before lifting the
helicopter off the ground.
C) The helicopter rotor will spin 15,000 times in 3 hours.
D) The helicopter rotor will spin 30,000 times in 1 hour.
D) The helicopter rotor will spin
30,000 times in 1 hour.
30,000 30,000

1hour 180 min
30,000  180  500spins / 1 min
7.13(B) The student is expected
to use a problem-solving model
that incorporates understanding
the problem, making a plan,
carrying out the plan, and
evaluating the solution for
reasonableness;
7. An equilateral triangle is divided into 4
congruent equilateral triangles. What
method can be used to find the area of the
larger equilateral triangle, given the area of
one of the smaller triangles?
A) Multiply the area of the larger equilateral triangle by 4
B) Multiply the area of one congruent equilateral triangle
by 4
C) Subtract the area of one congruent triangle from the
area of the larger equilateral triangle
D) Add the area of the larger equilateral triangle to the
areas of the 4 congruent equilateral triangles
B) Multiply the area of one
congruent equilateral triangle by 4
8. Mr. Palmer started a new business and hired
12 employees. A list of the employees and their
hourly wages is shown below.
What should Mr. Palmer do to organize the
data in order to identify which employees
earn less than the median hourly wage?
A)
He should add up all the hourly
wages.
B)
He should list the employee numbers
in order from greatest to least.
C)
He should list the hourly wages in
order from least to greatest with their
corresponding employee numbers.
D)
He should list the employee numbers
in order from least to greatest with their
corresponding hourly wages.
C) He should list the hourly
wages in order from least to
greatest with their corresponding
employee numbers.
9. Hilda bought 4 orders of french fries at
$0.67 each, 3 hamburgers at $1.28 each, and 4
shakes at $2.25 each. She paid 8.25% tax on
the whole order. What other information is
necessary to find Hilda’s correct change?
A)
B)
C)
D)
Total cost of the order
Amount she paid in tax
Amount she gave the cashier
Reason for buying the food
C) Amount she gave the cashier
10. Stephanie makes cocoa mix to sell at the
winter fair. She makes 230 cups of one flavor of cocoa
mix and 180 cups of another flavor. To package the
cocoa mix, Stephanie needs to purchase containers
that hold 2 cups each. The containers are sold in boxes
of 50. Which would be the correct order for Stephanie
to do the following steps to find the number of boxes of
containers she needs to buy?
A)
C)
Step R: Divide the total number of cups of cocoa mix by 2.
Step S: Find the sum of the numbers of cups of the two
different types of cocoa mix.
Step T: Divide the number of containers needed by 50 to
find the number of boxes of containers to buy.
R, S, T
B) S, R, T
T, R, S
D) R, T, S
B) S, R, T
Step S: Find the sum of the numbers of cups of the two
different types of cocoa mix.
Step R: Divide the total number of cups of cocoa mix by
2.
Step T: Divide the number of containers needed by 50 to
find the number of boxes of containers to buy.
7.13(C) The student is expected to
select or develop an appropriate
problem-solving strategy from a
variety of different types,
including drawing a picture,
looking for a pattern, systematic
guessing and checking, acting it
out, making a table, working a
simpler problem, or working
backwards to solve a problem.
1
2
11. Jeffrey spent of his Saturday
1
earnings on a pair of shoes and 2 of the
remaining amount on a CD. After he
spent $5.35 on lunch, he had $10.85
left. How much did Jeffrey earn on
Saturday?
A)
C)
$32.25
$60.40
B)
D)
$36.45
$64.80
D)
$64.80
$10.85  $5.35  $16.20
$16.20  2  $32.40
$32.40  2  $64.80
$64.80
12. Laneitre is trying to figure out
the heights of 3 people. Here are
the facts she knows.
•The sum of the heights of these 3 people is 17 feet 5
inches.
•The shortest person is 5 feet 4 inches tall.
•The other 2 people differ in height by 3 inches.
How tall is the tallest person?
A)
5 feet 4 inches
B)
5 feet 11 inches
C)
6 feet 2 inches
D)
12 feet 1 inch
17 feet5inches  5 feet 4inches  12 feet1inch
12 feet1inch
1
 6 feet inch
2
2
1
1
6 feet inch  1 inchs  6 feet 2inches
2
2
C)
6 feet 2 inches
13. ∆RST and ∆JKL are similar.
Which choice shows the equations
that can be used to find the area of
∆JKL?
A
B
C
D
9
h
1

First use 18 12 and then use Area = 2 (12h)
9
h

First use
and then use Area = 12h
18 12
9 12
1

First use 18 h and then use Area = (12h)
2
9 12
First use 18  h and then use Area = 12h
A) First use
Area =
1
2
9
h

18 12
(12h)
and then use
7.14(A) The student is expected
to communicate mathematical
ideas using language, efficient
tools, appropriate units, and
graphical, numerical, physical, or
algebraic mathematical models.
14. Which expression can be used to
solve the problem below?
To cater a luncheon, a hotel charges
$50 per hour for use of a dining room plus
$24.50 per person. What is the total cost for
a 2-hour luncheon for 45 people?
A)
B)
C)
D)
2 × 50 + 24.50 + 45
2 × 50 + 24.50 × 45
2 × 24.50 + 50 × 45
2 × 45 + 50 × 24.50
B) 2 × 50 + 24.50 × 45
2 hours- $50 per hour
45 people- $24.50 per person
15. Pilar spends a total of 60 hours per week at
school and at her job. She attends school from
8:45 A.M. until 3:45 P.M., Monday through
Friday. Which equation can be used to find t, the
maximum number of hours Pilar works at her job
each week?
A)
B)
C)
D)
t = 60 − (5 × 7)
t = 60 − (5 × 8)
t = 60 − 7 + 7 + 7 + 7 + 7
t = 5 × 7 − 60
A) t = 60 − (5 × 7)
60 hours per week 8:45 A.M. until 3:45 P.M.,- 7 hour each day
Monday through Friday- 5 days
16. Luis is in charge of making props
for a school play. He needs to make a
large circular wooden clock that
measures about 6 feet in
circumference. Which equation can he
use to find r, the radius of the clock?
6
A)
r= 
C)
6
2
r=
B)
D)
12
r= 
r=
12
2
c  2 r
c
2 r


2
2
c
r
2
6
C) r = 2
17. Mr. Cohen used 25 kilograms of
fertilizer on his lawn. The fertilizer
contained 2 kilograms of nitrogen.
Which equation can be used to find x,
the percent of nitrogen in the fertilizer
Mr. Cohen used?
x
2

A)
100 25
x 27

C)
2 100
x
25

B)
100 2
D)
25
x

27 100
x
2

A) 100 25
25 kilograms of fertilizer on his lawn. The fertilizer contained 2 kilograms
What percent?
18. A sports-shop owner bought some
baseball cards and then sold them for
$7.50 each. He sold 150 cards on
Monday and 82 cards on Tuesday. What
piece of information is needed to find the
amount of profit he made from the sale of
the baseball cards on Monday and
Tuesday?
A)
B)
C)
D)
How much the shop owner paid for the baseball cards
Number of cards sold on Wednesday
Total number of cards sold
Number of football cards bought by the shop owner
A) How much the shop owner paid for
the baseball cards
bought some baseball cards
19. Arthur uses his own tractor while doing
various jobs. He is paid a flat fee of $100 for
each job. In addition to the flat fee, he is
paid $20 for each hour he works with the
tractor.
Which shows how to find the amount Arthur should be
paid for working with the tractor for 10 hours?
A)
B)
C)
D)
Add 20 to 10 and then multiply the sum by 100
Multiply 100 by 10 and then add 20 to the product
Multiply 20 by 10 and then add 100 to the product
Add 20 to 100 and then multiply the sum by 10
C) Multiply 20 by 10 and then
add 100 to the product
a flat fee of $100
$20 for each hour
with the tractor for 10 hours
20. Ed is reading the math problem
shown below.
1 .6 3 .2
Which is a correct way to read
this problem?
A) One and six tenths divided by three and
two tenths
B) Three and two tenths divided by one and six tenths
C) Three and two hundredths divided by one and six
hundredths
D) One and six hundredths divided by three and two
hundredths
B) Three and two tenths divided
by one and six tenths
3 .2
1 .6
7.15(A) The student is
expected to make
conjectures from patterns
or sets of examples and
nonexamples;
21. Mrs. Cotera wants to estimate the monthly
operating expenses for the car she just bought,
not including maintenance and repairs. Insurance
will cost about $200 per month, and Mrs. Cotera
expects to drive an average of 225 miles per
week. What additional information does she need
to estimate her monthly operating expenses?
A)
The cost of fuel and the one-way distance to work
B)
The cost of fuel and the number of miles per gallon
her car gets
C)
The cost of fuel and her weekly take-home pay
D)
The number of gallons of fuel needed per week
B) The cost of fuel and the
number of miles per gallon her car
gets
drive an average of 225 miles per week
Insurance will cost about $200 per month
22. Mr. Zimmerman started a 6-week
exercise program. The first week he
1
jogged 1 4 mile each day, the second
week he jogged miles each day, and
1
the third week he jogged 1 2 miles each
day. If the pattern continues, how far
will he jog each day of the sixth week?
A)
1
14
mi
B)
1
2 4 mi
C)
6 mi
D)
9 3 mi
4
B)
1
1
2
1¼
3
1½
4
1¾
5
2
6
2¼
2 ¼ mi
or
1
3
x 
4
4
1
3
(6)  
4
4
6 3
 
4 4
9
1
2
4
4
23.The numbers in Set R share a common
characteristic.
Set R: 48, 54, 6, 66, 12, 24
The numbers in Set S do not share this
characteristic.
Set S: 9, 20, 39, 15, 63, 27, 44
Which best describes the characteristic that only the
numbers in Set R share?
A)
Numbers less than 70
B)
Numbers greater than 5
C)
Numbers that are composite
D)
Numbers divisible by 6
D) Numbers divisible by 6
only the numbers in Set R share
Set S: 9, 20, 39, 15, 63, 27, 44
Set R: 48, 54, 6, 66, 12, 24
7.15(B) The student is
expected to validate
his/her conclusions
using mathematical
properties and
relationships.
24. Mr. Jenkins wants to buy some
rosebushes for his garden. There are four
stores in his neighborhood currently having
sales on rosebushes.
If Mr. Jenkins wants to save as much money as possible, at which
store should he shop?
A) Sheldon’s Plant Mart, because he wants to buy 4 rosebushes
B) Rose Mart, because each rosebush costs almost $3.00
C) Kathleen’s Roses, because each rosebush costs $2.95
D) Rose Heaven, because the selection is better
C) Kathleen’s Roses, because
each rosebush costs $2.95
11.90
sheldon ' s
 2.975each
4
8.95
rose.mart
 2.98333each
3
5.90
Kathleen' s
 2.95each
2
2.96
roseheaven
 2.96each
1
25. Mrs. Blackburn wrote the following riddle on
the board for her mathematics class.
We are 2-digit numbers. Our greatest
common factor is 16. Our difference is
48. Our sum is 112.
What are the 2 numbers of the riddle?
A) 16 and 48, because their greatest common factor is
16
B) 32 and 80, because their difference is 48 and their
greatest common factor is 16
C) 16 and 64, because their difference is 48 and their
greatest common factor is 16
D) 48 and 96, because their difference is 48
B) 32 and 80, because their difference
is 48 and their greatest common factor
is 16
A)48  16  48
B)80  32  48,..80  32  112..GCF  16
C )64  16  48..64  16  112
D)96  48  48..96  28  112
26. A 10-ounce box of cereal costs $2.98,
and a 20-ounce box of the same cereal
costs $5.49. Which of these statements
will help a shopper decide which box is the
better buy?
A) The 10-ounce box is the better buy because it is less
expensive per ounce of cereal.
B) The 10-ounce box is the better buy because $2.98 is
about $3, and $3 goes into $5.49 about 3 times.
C) The 20-ounce box is the better buy because it is
more expensive per ounce of cereal.
D) The 20-ounce box is the better buy because two of
the 10-ounce boxes cost more than one 20-ounce box.
D) The 20-ounce box is the
better buy because two of the
10-ounce boxes cost more than
one 20-ounce box.
2.98
 $0.2980
10
2(2.98)  $5.96
5.49
 $0.2745
20