Objective 6

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TAKS Short Course

• Objective 6

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6.11(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
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1.Cindy and 2 friends ordered a large pizza for
9.00, 3 large drinks for 0.99 each, and a salad
for 1.50. If they split these costs evenly,
which equation can be used to find c, the amount
in dollars and cents each person should pay, not
including tax?

• A c 9.00 0.99 1.50 3
• B c 9.00 3 0.99 (1.50 3)
• C c (9.00 0.99 1.50) 2
• D c (9.00 3 0.99 1.50) 3

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pizza for 9.00, 3 large drinks for 0.99 each,
and a salad for 1.50
D) c (9.00 3 0.99 1.50) 3
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2. The weight limit for an elevator is 2,000
pounds. Which statement is best supported by this
information?

• A) The elevator can carry more than 20 adults.
• The elevator can carry more than 20 crates that
• weigh 100 pounds each.
• C) The elevator can carry up to 8 people who each
  weigh as much as 250 pounds.
• D) The elevator can carry twice as many children
  as adults.

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The weight limit for an elevator is 2,000 pounds.
Which statement is best supported by this
information?

• B) The elevator can carry more than 20 crates
  that weigh 100 pounds each.
• C) The elevator can carry up to 8 people who each
  weigh as much as 250 pounds.

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3. Mr. and Mrs. Gunther tiled their rectangular
porch using square tiles. Each box of tile
contained 30 square tiles. The rectangular porch
measured 38 feet by 22 feet. What missing piece
of information is needed in order to find the
number of boxes of tile the Gunthers needed?

• A Area of each square tile
• B Perimeter of the box
• C Perimeter of the porch
• D Area of the porch

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Mr. and Mrs. Gunther tiled their rectangular
porch using square tiles. Each box of tile
contained 30 square tiles. The rectangular porch
measured 38 feet by 22 feet. What missing piece
of information is needed in order to find the
number of boxes of tile the Gunthers needed?

• A) Area of each square tile

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4. Irma has 10.00 to buy apples. Apples at the
market are 2.50 per bag. Which
additionalinformation is needed to find the
number ofapples Irma can buy?

• A The cost of apples per pound
• B The size of each bag of apples
• C The weight of each apple
• D The number of apples in each bag

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Irma has 10.00 to buy apples. Apples at the
market are 2.50 per bag. Which additional
information is needed to find the number of
apples Irma can buy?

• D The number of apples in each bag

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5. Ms. Meléndez needs to replace the batteries in
20 calculators. Each calculator uses 4 batteries.
The batteries are sold in packages of 16. How
many packages of batteries does Ms. Meléndez need
to buy?

• A 64 B 4
• C 80 D 5

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5. Ms. Meléndez needs to replace the batteries in
20 calculators. Each calculator uses 4 batteries.
The batteries are sold in packages of 16. How
many packages of batteries does Ms. Meléndez need
to buy?

• D 5

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6.11(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
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6. Stan must buy paper plates and plastic forks
for a picnic. Plates are sold in packages of 8
and forks in packages of 12. What is the least
number of packages of plates and packages of
forks that Stan can buy to have an equal number
of plates and forks?

• A) 2 packages of plates and 3 packages of forks
• B) 3 packages of plates and 2 packages of forks
• C) 4 packages of plates and 6 packages of forks
• D ) 6 packages of plates and 4 packages of forks

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Stan must buy paper plates and plastic forks for
a picnic. Plates are sold in packages of 8 and
forks in packages of 12. What is the least number
of packages of plates and packages of forks that
Stan can buy to have an equal number of plates
and forks?

• B) 3 packages of plates and 2 packages of forks

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7. Antonio saved 30 to go to a carnival. He
needs a certain amount of money for bus fare and
admission. Antonio wants to find the amount of
money he will have left for rides and food. Look
at the problem-solving steps shown below. Arrange
the steps in the correct order for Antonio to
find the amount of money he will have left for
rides and food.
Step P Identify the cost of bus fare and then
the cost of admission. Step Q Find the
difference between 30 and the sum of the costs
of bus fare and admission. Step R Find the sum
of the costs of bus fare and admission.

• Which list shows the steps in the correct order?
• A P, Q, R B Q, P, R
• C P, R, Q D Q, R, P

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Arrange the steps in the correct order for
Antonio to find the amount of money he will have
left for rides and food.
Step P Identify the cost of bus fare and then
the cost of admission. Step Q Find the
difference between 30 and the sum of the costs
of bus fare and admission. Step R Find the sum
of the costs of bus fare and admission.
Which list shows the steps in the correct
order? C P, R, Q
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8. Mrs. Miller is baking cookies for 16
children. She has baked 2 dozen cookies. If she
wants each child to receive exactly 2 cookies and
have no cookies left over, how many more cookies
should she bake?
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Mrs. Miller is baking cookies for 16 children.
She has baked 2 dozen cookies. If she wants each
child to receive exactly 2 cookies and have no
cookies left over, how many more cookies should
she bake?
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9. Tickets for a circus performance cost 9.50
for an adult and 6.75 for a child. Mr. Snyder
and some of his friends, a group of 4 adults and
5 children, went to the circus performance. Mr.
Snyder paid for all the tickets.

• Read the problem-solving steps shown below.
  Arrange the steps in the correct order for Mr.
  Snyder to find the total cost for the tickets.
• Step K Add the two products together
• Step L Write down the number of adults and the
  number of children going to the circus
  performance
• Step M Multiply the cost of an adult ticket by
  the number of adults
• Step N Multiply the cost of a childs ticket by
  the number of children
• Which list shows the steps in the correct order?
• A. L, K, M, N B. L, M, N, K
• C. N, M, L, K D. M, N, L, K

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B. L, M, N, K

• Step L Write down the number of adults and the
  number of children going to the circus
  performance
• Step M Multiply the cost of an adult ticket by
  the number of adults
• Step N Multiply the cost of a childs ticket by
  the number of children
• Step K Add the two products together

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10. Jeremy received 70 as a gift. He wanted to
use the money to go to the movies and to buy a
book. He wanted to save the money he had left.
Which is the correct order of steps to find the
amount of money Jeremy would have left to save?

• Step K Find the sum of the costs of the movie
  and the book.
• Step L Find the difference between 70 and the
  sum of the costs of the movie and the book.
• Step M Identify the cost of the movie and the
  cost of the book.
• A) L, K, M B) M, K, L
• C) L, M, K D) K, L, M

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• Step M Identify the cost of the movie and the
  cost of the book.
• Step K Find the sum of the costs of the movie
  and the book.
• Step L Find the difference between 70 and the
  sum of the costs of the movie and the book.
• .

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6.11(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.
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11. When Marcos dog got loose, it ran mile
on Pine Street, 1 miles on Oak Street, and 2
miles on Hickory Street. Which procedure can
Marco use to find the total distance in miles
that his dog ran?

• A Multiply the sum of the whole numbers by the
  sum of the fractions, using a common denominator
  when necessary
• B Find the difference between the sum of the
  whole numbers and the sum of the fractions, using
  a common denominator when necessary
• C Add the sum of the whole numbers and the sum of
  the fractions, using a common denominator when
  necessary
• D Divide the sum of the whole numbers by the sum
  of the fractions, using a common denominator
  when necessary

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When Marcos dog got loose, it ran mile on
Pine Street, 1 miles on Oak Street, and 2
miles on Hickory Street. Which procedure can
Marco use to find the total distance in miles
that his dog ran?

• C) Add the sum of the whole numbers and the sum
  of the fractions, using a common denominator when
  necessary

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12. Miss Carusos car travels an average of 22
miles per gallon of gasoline. The gas tank holds
12 gallons. How would you find the number of
miles Miss Caruso can drive on 1 full tank of
gasoline?

• A Add the cars average mileage in miles per
  gallon to the number of gallons the tank can hold
• B Subtract the number of gallons the tank can
  hold from the cars average mileage in miles per
  gallon
• C Multiply the cars average mileage in miles per
  gallon by the number of gallons the tank can hold
• D Divide the cars average mileage in miles per
  gallon by the number of gallons the tank can hold

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Miss Carusos car travels an average of 22 miles
per gallon of gasoline. The gas tank holds 12
gallons. How would you find the number of miles
Miss Caruso can drive on 1 full tank of gasoline?

• C) Multiply the cars average mileage in miles
  per gallon by the number of gallons the tank can
  hold

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13. Jade is 3 years older than Steven, and Steven
is 5 years younger than Andrew, who is 15 years
old. Which table could be used to find Jades age?
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Jade is 3 years older than Steven, and Steven is
5 years younger than Andrew, who is 15 years old.
Which table could be used to find Jades age?
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14. Felicia went shopping for clothes. She bought
a pair of jeans priced at 28.00, a sweater
priced at 32.50, and a belt priced at 18.75. If
there was an 8.75 tax on clothing items, which
procedure could be used to find the amount of tax
Felicia paid?

• A Multiply the tax rate by the sum of the prices
  of the clothing items
• B Add the prices of the clothing items to the tax
  rate
• C Add the prices of the clothing items
• D Multiply the tax rate by the price of the most
  expensive clothing item

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Felicia went shopping for clothes. She bought a
pair of jeans priced at 28.00, a sweater priced
at 32.50, and a belt priced at 18.75. If there
was an 8.75 tax on clothing items, which
procedure could be used to find the amount of tax
Felicia paid?
A) Multiply the tax rate by the sum of the prices
of the clothing items
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15. The table below shows the number of minutes
it takes to wash different vehicles at Jay Dees
Car Wash.

• When the car-wash machine has been in use for a
  total of
• 2 hours, Jay must add one bottle of liquid soap
  to the
• machine. What is the number of trucks the machine
  can
• wash with each bottle of liquid soap?
• A 5 B 12
• C 20 D 32

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When the car-wash machine has been in use for a
total of 2 hours, Jay must add one bottle of
liquid soap to the machine. What is the number of
trucks the machine can wash with each bottle of
liquid soap?

• B 12

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16. A parent group is planning an awards dinner
for students, teachers, and parents. The parent
group plans to seat the guests around a circular
table that has seating for 30. The guests will be
seated in the order of student, teacher, parent,
in a repeating pattern. Will the 20th guest be a
student, a teacher, or a parent?

• A) Student
• B) Teacher
• C) Parent
• D) Cannot be determined

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B) Teacher

• student, teacher, parent
• student, teacher, parent
• student, teacher, parent
• student, teacher, parent
• student, teacher, parent
• student, teacher, parent
• student, teacher

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6.12(A) The student is expected to communicate
mathematical ideas using language, efficient
tools, appropriate units, and graphical,
numerical, physical, or algebraic mathematical
models.
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17. Mr. Ortega gave his social studies students a
map of Texas. According to the map scale, 1 inch
on the map represents 100 actual miles. Which
strategy can Mr. Ortegas students use to find
the actual distance in miles between points on
the map?

• A Measure the number of inches between
• points and then divide by 100
• B Measure the number of inches between
• points and then multiply by 100
• C Measure the number of inches between
• points and then subtract 100
• D Measure the number of inches between
• points and then add 100

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1 inch on the map represents 100 actual miles
B Measure the number of inches between points and
then multiply by 100
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18. Each number in the sequence below has the
same relationship to the number immediately
before it.

• 24, 12, 6, 3, 1 ,
• How can the next number in the sequence be
  found?
• A) By subtracting 12 from the previous
• number
• B) By adding 1 to the previous number
• C) By multiplying the previous number by 2
• D) By dividing the previous number by 2

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24, 12, 6, 3, 1 ,
D) By dividing the previous number by 2
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19. Mrs. Valcome has 25.00 to spend on seeds for
her flower garden. Marigold seeds cost 1.50 per
package, and zinnia seeds cost 1.25 per package,
tax included. If Mrs. Valcome buys 10 packages of
marigold seeds, how can she determine how much
money she has left to spend on zinnia seeds?

• A) Add 1.50 and 1.25
• B) Subtract the product of 10 and 1.50 from
  25.00
• C) Multiply 1.25 and 10
• D) Divide 10 by 1.25

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B) Subtract the product of 10 and 1.50 from
25.00
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20. If Mr. Albright drives at a constant speed of
65 miles per hour, which method can be used to
find the number of hours it will take him to
drive 260 miles?

• A) Add 65 and 260
• B) Subtract 65 from 260
• C) Multiply 260 by 65
• D) Divide 260 by 65

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D) Divide 260 by 65
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6.13(A) The student is expected to make
conjectures from patterns or sets of examples and
nonexamples
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21. The side lengths and perimeters of some
regular polygons are shown in the table below.

• Which geometric figure is represented by the
  information in the table?
• A Pentagon B Square
• C Hexagon D Triangle

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A Pentagon
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22. Look at the shapes below.

• Which statement best describes these shapes?
• A They all appear to be regular polygons.
• B They all have an even number of sides.
• C They all have an even number of angles.
• D They all contain only right angles.

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A) They all appear to be regular polygons.

• Number of sides, all equal length
• Number of interior angles, all equal measure

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23 Elms Carpeting Company sells carpet by the
square yard. A salesperson at the company uses
the table below to calculate the amount of carpet
needed to cover floor areas of different sizes.

• Which statement describes the calculation used to
• determine the amount of carpet needed for a given
  area
• of floor?
• A) The area of the floor is divided by 12.
• B) The area of the floor is divided by 10.
• C) The area of the floor is divided by 9.
• D) The area of the floor is divided by 3.

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C) The area of the floor is divided by 9.
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24. Three friends attended a football game and
agreed to share the cost evenly. The total cost
of the tickets was 51, the taxi ride to and from
the game was 24, and snacks and drinks were 30.
Which equation can be used to find c, the amount
each friend should have paid?

• A) c (51 24 30) 3
• B) c (51 24 30) 3
• C) c 51 24 30 3
• D) c 51 24 30 - 3

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B) c (51 24 30) 3
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6.13(A) The student is expected to make
conjectures from patterns or sets of examples and
nonexamples
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25. Look at Set V and Set W shown below.

• Set V 1, 3, 5, 7, 9, 11, . . .
• Set W 3, 6, 9, 12, 15, 18, . . .
• Which of the following numbers could belong to
  both Set V and Set W?
• A) 35 B 25
• C) 21 D 31

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C) 21

• Set V 1, 3, 5, 7, 9, 11, . . . odd
  numbers
• Set W 3, 6, 9, 12, 15, 18, . . . multiples
  of 3

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6.13(B) The student is expected to validate
his/her conclusions using mathematical properties
and relationships.
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26. Laurence was asked to find 2 integers that
have a difference of 1 and a sum of 59. He said
the integers were 29 and 28. Why was Laurences
answer incorrect?

• A) The difference between 29 and 28 is not 1.
• B) The difference between 29 and 28 is 1.
• C) The sum of 29 and 28 is 59.
• D) The sum of 29 and 28 is not 59.

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D) The sum of 29 and 28 is not 59.
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27. Zane is reading a history book for a project.
The graph below shows how many pages he read
during a 5-day period.

• Which statement is best supported by the
  information in the graph?
• A Zane read more pages on Monday and Wednesday
  than he did on Tuesday and Thursday, because 40
  80 gt 70 60.
• B Zane read fewer pages on Tuesday and Wednesday
  than he did on Thursday and Friday, because 70
  80 lt 60 90.
• C Zane read more pages on Thursday and Friday
  than he did on Tuesday and Wednesday, because 60
  90 gt 70 80.
• D Zane read fewer pages on Wednesday and Thursday
  than he did on Tuesday and Friday, because 80
  60 lt 70 90.

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D) Zane read fewer pages on Wednesday and
Thursday than he did on Tuesday and Friday,
because 80 60 lt 70 90.