TAKS Short CourseObjective 1

8th Grade

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?

1

5

1

8

Store Down Payment

Home Audio 15%

Music and More

Sound Savings

Discount Center 18%A Home AudioB Music and MoreC Sound SavingsD Discount Center

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) 549.010, 549.101, 549.02, 549.3B) 392.4, 397.46, 399.53, 399.062C) 101.2, 101.04, 104.21, 110.0D) 834, 834.19, 834.2, 834.29

D) 834, 834.19, 834.2, 834.29

2. Which fraction is between and ?

2

33

4

8

7)

7

5)

8

3)

2

1)

D

C

B

A

7142757143.07

5

75.04

3

666.03

27

5)

C

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?

2

1,

3

2%,5.62,

10

7%,75)

3

2,

2

1%,5.62,

10

7%,75)

2

1%,5.62,

3

2,

10

7%,75)

10

7,

3

2,

2

1%,5.62%,75)

D

C

B

A

500.0,625.0,3

266.0,700.0,750.0

2

1%,5.62,

3

2,

10

7%,75)B

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?

250

5

16

100

16

100 250y

100

250 16y 16

100

150y

A) B)

D)C)

16 out of 100 yellow gummies. Carla put 250 mixed gummies

16

100 250y

B)

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 9-hour period?

3,962 vehicles passing through an intersection during a 7-hour periodx 9-hour period?

97

3962 x

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, Jackie paid of the bill, Lester paid 20% of the bill, and Margie paid the rest of the bill.

1

4

Carlos

ieM

Lester

Jackie

00.15$

arg53.9$07.3560.44

07.35$92.815.1115

92.8$20.060.44

15.11$460.44

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?

2

28 3

l

2 28

3 l

A) 2 + 28 = 3 + l B)

C) D) 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 lengthx

width

length

width

..

28

3

2

2 28

3 lC)

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)?

1.11125

11121

12144

125

meters

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) B)

C) D)

6 101412

10B)

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 B) 9 m

C) 8.9 m D) 8 m

A) 9.1 m

1.983

981

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?

5105.1000015.0

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) 270,000°FB) 2,700,000°FC) 27,000,000°FD) 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) 2.49024 × 104 B) 24.9024 × 104

C) 249.024 × 104 D) 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)

B)

C)

D)

n 95 72

14

n ( )95 15 72

14

n ( )95 15 72

15

n 95 72 15

14

( )

n ( )95 15 72

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 $100B) Less than the actual amount because she rounded to the nearest $10C) More than the actual amount because she rounded to the nearest $100D) 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 C

B D

s( , , , )1 266 140 54 250

37

s 1 266 14054 250

37, ,

,

s 1 266 14054 250

37, ,

,

s( , , , )1 266 140 54 250

37

s( , , , )1 266 140 54 250

37D

19. A water tank contains 2,500 gallons. A faucetattached 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) r = 2,500 ÷ 5

B) r = 2,500 − 60

C) r = 2,500 − 60(5)

D) r = 2,500 ÷ 60(5)

C) r = 2,500 − 60(5)

20. To cover his bulletin board, Mr. Adams needs 1 yards of fabric and 6 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) c = (2.79 + 1.5) + (1.19 + 6.25)

B) c = (2.79 · 1.5) + (1.19 · 6.25)

C) c = (2.79 + 1.5) − (1.19 + 6.25)

D) c = (2.79 · 1.5) − (1.19 · 6.25)

1

21

4

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?

0

12

23

352312

22. A gift basket contains 6 ounces of chocolate candy, 4 ounces of hard candy, and 4 ounces of dried fruit. What is the total weight of the contents of the gift basket?

2

31

2

6

115

6

714

46

34

6

46

42

14

3

26

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?

meters

mcm

metercm

cmcmcm

cmcm

cmmeters

cmmeters

2.1100

120100

1

1

120

12020140

14060200

2002

1001

24. A recipe for 12 waffles calls for 1 cups of milk, 2 cups of flour, and 1 cups of other ingredients. How many cups of milk, flour, and other ingredients are needed to make 36 waffles?

A) 20 cups B) 15 cups

C) 12 cups D) 5 cups

1

21

41

3

1

3

1

41

4

1

12

D) 5 cups1

12

(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 juice2 cups of lemon-lime soda64 ounces of pineapple juice2 quarts of cold water cup of lemon juice

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

3

4

1

4

1 quart of apple juice2 cups of lemon-lime soda64 ounces of pineapple juice2 quarts of cold water cup of lemon juice

3

4

1

4

4

3522

4

31

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) $50.00 B) $150.00

C) $113.00 D) $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) Less than 4 days

B) Between 4 and 6 days

C) Between 6 and 8 days

D) More than 8 days

B) Between 4 and 6 days

1,450 miles. He plans to drive between 250 and 300

8.4300

1450

8.5250

1450

28. Anthony helps his father with his lawn-mowing 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) $75 B) $95

C) $110 D) $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 2-night 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 = 60 · 56 B) c = 30 · 28

C) c = 28 · 28 D) c = 30 · 14

D) c = 30 · 14

30. Which equation can be used to find m, the number of minutes in h hours?

A) m = 60 − h B) m = h + 60

C) m = h ÷ 60 D) m = 60h

D) m = 60h