Objective 6

TAKS Short Course

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;

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 ÷ 3B c = 9.00 + 3 × 0.99 + (1.50 ÷ 3)C c = (9.00 + 0.99 + 1.50) ÷ 2D c = (9.00 + 3 × 0.99 + 1.50) ÷ 3

pizza for $9.00, 3 large drinks for $0.99 each, and a salad for $1.50

49.4$3

47.13$

50.1$)99.0($39$

D) c = (9.00 + 3 × 0.99 + 1.50) ÷ 3

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.

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.

D) The elevator can carry twice as many children as adults.

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.

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

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

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

CThe weight of each apple

DThe number of apples in each bag

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?

DThe number of apples in each bag

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

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

516

80

80420

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;

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 forksB) 3 packages of plates and 2 packages of forksC) 4 packages of plates and 6 packages of forksD ) 6 packages of plates and 4 packages of forks

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

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.

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

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 busfare and admission.Step R: Find the sum of the costs of bus fare and admission.

Arrange the steps in the correct order for Antonio to find the amount of money he will have left for rides and food.

Which list shows the steps in the correct order?

C P, R, Q

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 busfare and admission.Step R: Find the sum of the costs of bus fare and admission.

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?

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?

cookies

doz

8

2432

32216

242

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 togetherStep L: Write down the number of adults and the number of

children going to the circus performanceStep M: Multiply the cost of an adult ticket by the number of adultsStep N: Multiply the cost of a child’s ticket by the number of

children

Which list shows the steps in the correct order?A. L, K, M, N B. L, M, N, KC. N, M, L, K D. M, N, L, K

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 child’s ticket by the number of children

Step K: Add the two products together

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, LC) L, M, K D) K, L, M

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.

.

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.

11. When Marco’s 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

1

2

1

3 5

6

When Marco’s 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

1

2

1

35

6

12. Miss Caruso’s 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 car’s 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 car’s average mileage in miles per gallon

C Multiply the car’s average mileage in miles per gallon by the number of gallons the tank can hold

D Divide the car’s average mileage in miles per gallon by the number of gallons the tank can hold

Miss Caruso’s 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 car’s average mileage in miles per gallon by the number of gallons the tank can hold

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 Jade’s age?

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 Jade’s age?

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

CAdd the prices of the clothing itemsDMultiply the tax rate by the price of the most

expensive clothing item

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

15. The table below shows the number of minutes it takes to wash different vehicles at Jay Dee’s Car Wash.

When the car-wash machine has been in use for a total of2 hours, Jay must add one bottle of liquid soap to themachine. What is the number of trucks the machine canwash with each bottle of liquid soap?

A 5 B 12C 20 D 32

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

trucks

hr

12min10

min120

min1202

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) StudentB) TeacherC) ParentD) Cannot be determined

B) Teacher

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

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.

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. Ortega’s students use to find the actual distance in miles between points on the map?

A Measure the number of inches betweenpoints and then divide by 100

B Measure the number of inches betweenpoints and then multiply by 100

C Measure the number of inches betweenpoints and then subtract 100

D Measure the number of inches betweenpoints and then add 100

1 inch on the map represents 100 actual miles

B Measure the number of inches between points and then multiply by 100

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

2

1

1

2

24, 12, 6, 3, 1 , …

2 2 2

1

2

2

D) By dividing the previous number by 2

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

B) Subtract the product of 10 and $1.50 from $25.00

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

D) Divide 260 by 65

6.13(A) The student is expected to make conjectures from patterns or sets of examples and nonexamples;

Which geometric figure is represented by the information in the table?

A Pentagon B Square

C Hexagon D Triangle

21. The side lengths and perimeters of some regular polygons are shown in the table below.

A Pentagon

510

50

58

40

56

30

54

20

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.

A) They all appear to be regular polygons.

Number of sides, all equal length

Number of interior angles, all equal measure

23 Elm’s 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 todetermine the amount of carpet needed for a given areaof 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.

C) The area of the floor is divided by 9.

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

B) c = (51 + 24 + 30) ÷ 3

6.13(A) The student is expected to make conjectures from patterns or sets of examples and nonexamples

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

C) 21

Set V = {1, 3, 5, 7, 9, 11, . . .} odd numbers

Set W = {3, 6, 9, 12, 15, 18, . . .} multiples of 3

6.13(B) The student is expected to validate his/her conclusions using mathematical properties and relationships.

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 Laurence’s 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.

D) The sum of 29 and 28 is not 59.

572829

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 > 70 + 60.B Zane read fewer pages on Tuesday and Wednesday than he did on

Thursday and Friday, because 70 + 80 < 60 + 90.C Zane read more pages on Thursday and Friday than he did on Tuesday

and Wednesday, because 60 + 90 > 70 + 80.D Zane read fewer pages on Wednesday and Thursday than he did on

Tuesday and Friday, because 80 + 60 < 70 + 90.

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

160140

1609070

1406080