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Name_______________________ MATH EXTRA CREDIT OPPORTUNITY! **You must do the following to receive credit: --Complete all 50 questions NEATLY (make sure to number each problem if you use another sheet of paper for work!) --Show work for ALL 50 problems --Score 80% or above on EACH lesson (you are able to turn it in early so I can check it and give it back to you to correct between now and the due date) Lesson 1: Solving Equations 1. Which value for y makes the sentence true? 11 = y - 13 A . 1 3 B . 2 C . 2 4 D . 1 1 2. Which value for x makes the sentence true? 8x = 3x + 35 A . 9 B 3

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Page 1: images.pcmac.orgimages.pcmac.org/SiSFiles/Schools/TN/DekalbCounty/De…  · Web viewAccording to the Guinness Book of World Records, the longest drumming marathon by an individual

Name_______________________

MATH EXTRA CREDIT OPPORTUNITY!**You must do the following to receive credit:

--Complete all 50 questions NEATLY (make sure to number each problem if you use another sheet of paper for work!)

--Show work for ALL 50 problems

--Score 80% or above on EACH lesson (you are able to turn it in early so I can check it and give it back to you to correct between now and the due date)

Lesson 1: Solving Equations1. Which value for y makes the sentence true?

11 = y - 13

A. 13B. 2C. 24D. 11

2. Which value for x makes the sentence true?

8x = 3x + 35

A. 9B. 3 2/11

C. 7D. 8

3. Which value for x makes the sentence true?

x + 10.9 = 19.1

A. 208.19B. 30C. 19.1D. 8.2

4. Which value for y makes the sentence true?

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y ÷ 9 = 7

A. 7/9

B. 2C. 16D. 63

5. Which value for x makes the sentence true?

9x - 7x = 4

A. 3B. 1C. 2D. 1/4

6. Which value for x makes the sentence true?

4x + 28 = -3x

A. 4B. -2C. 6D. -4

7. Tabitha was shooting free throws in gym class. She completed 6 of the shots, which was one-fourth of 2 more than Joan completed.

How many free throws, , did Joan make? A. 26B. 20C. 16D. 22

8. Which value for x makes the sentence true?

A.

B.

C.

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D.

9. Which value for x makes the sentence true?

3x = 18

A. 9B. 15C. 6D. 12

10. Ronnie has a certain number of video games, . One-half of the games are role playing games. He sells seven role playing games to reach a grand total of 5 role playing games.

What would be the original number of video games that he had? A. 22B. 24C. 12D. 0

Lesson 2: Box-and-whisker Plots1. The points scored by Britany in eleven games are listed below.

20, 16, 28, 34, 32, 20, 21, 24, 19, 12, 20

What is the interquartile range of the scores? A. 1B. 5C. 9D. 2

2. What is the interquartile range of the following data set?

12, 19, 22, 28, 24, 14, 16A. 14B. 10C. 19D. 12

3. What is the mean of the following set of numbers?

14, 30, 4, 16

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A. 15B. 16C. 16.1D. 18.7

4. The box-and-whisker plots below represent the scores for two basketball teams throughout an entire season of games.

Which score represents the lower quartile for the Red Hawks? A. 90 pointsB. 85 pointsC. 65 pointsD. 75 points

5. What is the median of the following set of numbers?

48, 45, 43, 45, 41, 40, 44, 50, 38

A. 44B. 45C. 41D. 49

6. What is the mean of the following set of numbers?

24.6, 11.4, 20.1

A. 19.7B. 18.7C. 18.2D. 19.2

7. What is the interquartile range of the following data set?

39, 51, 56, 61, 57, 44, 49A. 52B. 18C. 51

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D. 13

8. What is the median of the following set of numbers?

26, 30, 30, 33, 37, 39, 41, 41, 44, 44, 44, 48

A. 41B. 39C. 40D. 38

9. What is the upper quartile of the following data set?

36, 47, 50, 53, 51, 41, 44

A. 53B. 49C. 51D. 52

10. What is the lower quartile of the following data set?

29, 33, 38, 25, 46, 42, 31, 33, 27

A. 27B. 28.5C. 28D. 27.5

Lesson 3: Proportions & Scales1. Willie runs 2 miles in 14 minutes. If Willie runs at the same rate, how many miles can he run in 63 minutes?

A. 13B. 11C. 7D. 9

2.

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Above is a map of Cape Verde. A boat captain is taking his friend around the cape. They are starting in Mindelo, then going to São Filipe, then Praia, and they will end their trip in Santa Maria. According to the map, how many miles will they cover altogether?

A. 840 milesB. 100 milesC. 560 milesD. 280 miles

3. Beth is saving money to buy a video game. She decides to put only quarters in her piggy bank. Write a proportion that Beth could use to find out how many quarters (q) she needs, if the video game she wants costs $21.75.

A.$21.75❑❑

4 quarters

=

$1

q quart❑❑ers

B.$21.75

q quarters=

4 quarters

$1

C.$21.75

q quarters=

$1

4 quarters

D.$21.75

$1=

4 quarters

q quarters

4. The largest sandwich, according to the Guinness Book of World Records, was made in Michigan in 2005 and weighed 5,440 pounds. How many tons did it weigh?

A. 1.36

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B. 2.72C. 5.44D. 27.2

5. According to the Guinness Book of World Records, the longest drumming marathon by an individual lasted for 84 hours. How many minutes did he play the drums?

A. 10,080B. 5,040C. 2,520D. 50,400

6.

According to the map above, what is the approximate distance from Tashigang to Samdrup Jongkhar? A. 80 milesB. 30 milesC. 15 milesD. 50 miles

7. In a flower garden, there are 6 tulips for every 7 daisies. If there are 30 tulips, how many daisies are there?

A. 41B. 37C. 33D. 35

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8. Matt was reading in his geography book about the location of the highest and lowest elevation in the United States. The highest elevation, found at Mount McKinley in Alaska, is 20,320 feet above sea level. Matt wanted to find the number (n) of inches in 20,320 feet, so he set up the following proportion:

20,320 ftn∈¿¿ =

1 ft

12 inSolve the proportion for n.

A. n = 243,840B. n = 60,960C. n 6,773D. n 1,693

9.

According to the map above, what is the approximate distance from Mexico City to Houston? A. 500 milesB. 800 milesC. 1,400 milesD. 1,800 miles

10. A radio station had 105 tickets to a concert. They gave away 2 times as many tickets to listeners as to employees. How many tickets did they give away to employees?

A. 37B. 35C. 2

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D. 3

Lesson 4: Direct/Inverse/Linear/Nonlinear Relations1. Mrs. Daniels, the English teacher, is having her students count the number of words in a book. She took their data and created the graph below.

What is the rate of words per page? A. 1,000 words per pageB. 500 words per pageC. 5,000 words per pageD. 1.25 words per page

2. Students are working on a project which requires toothpicks. Each student receives the same number of toothpicks, t, from the teacher. Which equation can be used to find the total number of toothpicks, N, given out by the teacher for the project to s students?

A.

B.

C.

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D.

3. Adam bought a new video game. He graphed the points he earned below.

What is his rate of points per minute? A. 3,000 points per minuteB. 500 points per minuteC. 1,000 points per minuteD. 1,500 points per minute

4. A singing competition is auditioning 34 contestants each hour for the next h hours. Which equation can be used to find the total number of contestants, C, that audition in h hours?

A.

B.

C.

D.

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5. On a trip to Italy, Chandra traded her U.S. dollars for Euros, based on the graph below.

Based on the graph, what is the unit rate of Euros per dollar? A. 1.40 Euros per U.S. dollarB. 1.30 Euros per U.S. dollarC. 1.20 Euros per U.S. dollarD. 1.10 Euros per U.S. dollar

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

A.

B.

C.

D.

7. A class is going on a field trip to see a movie. Each ticket is $7.00. The number of students, n, who will receive a $7.00 ticket is proportional to the total cost, C, of all the tickets. Which equation could be used to find the total cost of all the tickets?

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A.

B.

C.

D.

8. Ronald can read at a constant rate of p pages per minute. Which equation represents the relationship between the total number of pages, N, that Ronald can read in m minutes?

A.

B.

C.

D.

9. The science club is inflating a model of a hot air balloon. The graph below shows their progress.

At what rate is the diameter increasing? A. 30 cm per minuteB. 7.5 cm per minuteC. 4 cm per minuteD. 90 cm per minute

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10. Daniel mows lawns on the weekend. He graphed his earnings below.

What is the rate he charges to mow? A. $20.00 per lawnB. $15.00 per lawnC. $2.00 per lawnD. $10.00 per lawn

Lesson 5: Word Problems

1. Kiku is preparing for her science test. On Monday, she studied for 2 3/4 hours. On Tuesday, she studied for 1 1/4 hours. On Wednesday she studied for 1 1/2 hours. How many hours has Kiku studied in all?

A. 10 1/2 hoursB. 5 1/2 hoursC. 5 3/4 hoursD. 5 1/4 hours

2. Jose bought 6 sodas for him and his friends to share. If he spent $8.82 for all 6 sodas, how much did each soda cost?

A. $52.92B. $2.82C. $14.82D. $1.47

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3. For a scavenger hunt, Jim's mom distributed a bag of 512 jelly beans evenly into 16 plastic containers and hid them around the yard. If, after the hunt, Jim has a total of 384 jelly beans, then how many of the plastic containers did he find?

A. 128B. 192C. 12D. 24

4. Angela ran a total of 172.8 minutes in 8 days. If she ran for the same amount of time each day, how many minutes did she run per day?

A. 180.8B. 29.6C. 21.6D. 164.8

5. Colby is making a home video consisting of a 5-minute introduction followed by several short skits. Each skit is 9 minutes long. If Colby's video is 194 minutes long, how many skits are in his video?

A. 16B. 22C. 26D. 21

6. Robert delivers papers every morning. On Sundays he has to deliver 72 papers and on each of the other days he only has to deliver 28 papers. How many papers does Robert deliver each week?

A. 296B. 212C. 240D. 268

7. During the month of January, temperatures can decrease by 18° per week. If this happens, and the temperature on January 12th was 13°, what is the temperature on January 19th?

A. -5°B. -6°C. 5°D. 31°

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8. The average daily high temperature in Montreal last week was 19°. This week's average daily high temperature is supposed to be 23° lower. If the high temperature on Friday is equal to this week's average daily high temperature, which of the following could be Friday's high temperature?

A. 9°B. -27°C. 4°D. -4°

9. Susie baked a cherry pie. Justin ate 2/3 of the pie and Joey ate 1/4 of the pie. How much of the pie is left?

A. 7/12

B. 1/2

C. 1/12

D. 5/12

10. The cake that Larry is baking requires 1 cup of sugar. Larry is adding sugar to a bowl using a measuring scoop. In the first scoop, he adds 7/8 cup of sugar. In the second scoop, he adds 3/8 cup of sugar. Has Larry measured the sugar correctly?

A. No, he has added 1/4 cup extra.B. No, he has added 1/8 cup extra.C. Yes, he has added the correct amount of sugar.D. No, he still needs to add 1/8 cup of sugar.