Name: 7th Grade Math: Unit: Statistics Date: March 8, 2017 ......1. There are 8 red, 5 yellow, and 7 green cubes in a box. What is the probability of drawing a yellow cube and then

Directions: Answer the following questions. Show all of your work and circle your

final answer.

1. Decide if each of the following events is impossible, unlikely, equally likely

to occur or not occur, likely, or certain to occur. One term will be used

twice and one term will not be used at all.

a. A vowel (a vowel is the letters a, e, i, o, or u) will be picked when a

letter is randomly selected from the word “lieu”

__________________________________________________________________

b. A vowel will be picked when a letter is randomly selected from the

word “math.”

__________________________________________________________________

c. A blue cube will be drawn from a bag containing only five blue and

five black cubes.

__________________________________________________________________

d. A red cube will be drawn from a bag of 100 red cubes.

__________________________________________________________________

e. A red cube will be drawn from a bag of 10 red and 90 blue cubes.

__________________________________________________________________

Name: ______________________________

Date: March 8, 2017

Homeroom:

Mrs. Huber (614) 859-0019

7th Grade Math:

Unit: Statistics

and Probability

Packet 97:

Chance

Experiments

Redo:

Score: ________/5 _________% DNG A B C D F

Directions: Shade the squares below with a pencil, crayon, marker or highlighter

in order to match each situation.

1. Color the cubes below so that it would be equally likely to choose a black

or white cube.

2. Color the cubes below so that it would be likely but not certain to choose

a black cube from the bag.

3. Color the cubes below so that it would be unlikely but not impossible to

choose a black cube from the bag.


final answer.

A seventh grade student surveyed students at her school. She asked them to

name their favorite pet. Below is a table showing the results of the survey.

Pet Frequency

Dog 9

Cat 6

Turtle 4

Snake 5

Fish 5

Gerbil 2

1. How many students answered the survey questions?

2. How many students said that the snake was their favorite pet?

Name: ______________________________

Date: March 9, 2017

Homeroom:

Mrs. Huber (614) 859-0019

7th Grade Math:

Unit: Statistics

and Probability

Packet 98:

Estimating

Probabilities

Redo:

Score: ________/5 _________% DNG A B C D F

3. What is the experimental probability of a student saying that a dog is

his or her favorite pet?

4. What is the experimental probability of a student saying that a gerbil is


5. What is the experimental probability of a student saying that a frog is



final answer.

Directions: For questions 1-3, list the sample space (all the possible outcomes).

1. Selecting a marble from a bag containing 50 black marbles and 45

orange marbles.

2. Selecting a number from the even numbers 2-14, including 2 and 14.

3. Spinning the spinner below:

1

3

4

2

Name: ______________________________

Date: March 10, 2017

Homeroom:

Mrs. Huber (614) 859-0019

7th Grade Math:

Unit: Statistics

and Probability

Packet 99:

Equally Likely

Outcomes

Redo:

Score: ________/5 _________% DNG A B C D F

Directions: For questions 4-6, decide if the two outcomes are equally likely to

occur. Give a reason for your answer.

4. Selecting a black or an orange marble from a bag of 50 black and 45

orange marbles.

Yes No

______________________________________________________________________________

5. Landing on a 3 when spinning the spinner below.

1

3

4

2

Yes No

______________________________________________________________________________

6. Color the cubes below so that it would be more likely to choose a white

cube than a black cube.


final answer.

1. The “Gator Girls” are a soccer team. The possible number of goals that

Gator Girls will score in a game and their probabilities are listed in the

table below.

Number of Goals 0 1 2 3 4

Probability 0.22 0.31 0.33 0.11 0.03

a. What is the probability that the Gator Girls will score more than two goals?

b. What is the probability that the Gator Girls will score at least two goals?

c. What is the probability that the Gator Girls do not score exactly 3 goals?

Name: ______________________________


Homeroom:

Mrs. Huber (614) 859-0019

7th Grade Math:

Unit: Statistics

and Probability

Packet 100:

Outcomes Not

Equally Likely

Redo:

Score: ________/5 _________% DNG A B C D F

2. The diagram below shows a spinner. The pointer is spun, and the player is

awarded a prize according to the color on which the pointer stops.

a. What is the probability that the pointer stops in the red region?

3. Wayne asked every student in his class how many siblings (brother and

sisters) they had. Survey results are shown in the table. (Wayne included

himself in the results).

Number of Siblings 0 1 2 3 4

Number of Students 4 5 14 6 3

a. How many students are there in Wayne’s class?

b. What is the probability that a randomly selected student does not have

any siblings?


final answer.

1. Create a tree diagram to represent the following situation. Work carefully

and neatly!

A pizza shop owner is trying to determine the number of different choices

a customer has when ordering a pizza. If you can choose between 3

different sizes, 2 different types of sauce, and five different toppings, how

many possible pizza combinations do you have?

Name: ______________________________


Homeroom:

Ms. Huber (614) 859-0019

7th Grade Math:

Unit: Statistics

and Probability

Packet 101: Tree

Diagrams

Redo:

Score: ________/5 _________% DNG A B C D F

2. Create a tree diagram that represents the total number of different pies

that can be made from two different crust flavors, six different filling flavors

and 2 different types of pie pans.

3. Use the counting method to verify your answer to #2.


final answer.

1. There are 8 red, 5 yellow, and 7 green cubes in a box. What is the

probability of drawing a yellow cube and then a green cube, if the first

cube is not replaced before the second cube is drawn?

2. There were 10 cards in a bag labeled 0-9. What is the probability of

drawing a “3” and then a “5” if the first card is not replaced before the

second is drawn?

Name: ______________________________


Homeroom:

Ms. Huber (614) 859-0019

7th Grade Math:

Unit: Statistics

and Probability

Packet 102:

Compound

Probability

Redo:

Score: ________/5 _________% DNG A B C D F

Use the following information to answer questions 3-4.

Mike has 25 red tiles, 10 green tiles and 15 blue tiles in a bag. He draws a tile at

random from the bag, returns it to the bag, and draws a second tile.

3. What is the probability that the first tile is green and the second tile is blue?

4. What is the probability that the first and second tiles are both green?

5. What is the probability of the arrow landing on an odd number on this

spinner and rolling an odd number on the number cube with faces

numbered 1 to 6?


final answer.

Suppose that a dartboard is made up of the 8 X 8 grid of squares shown below.

Also, suppose that when a dart is thrown, it is equally likely to land on any one of

the 64 squares. A point is won if the dart lands on one of the 16 black squares.

Zero points are earned if the dart lands in a white space.

1. For one throw of the dart, what is the probability of winning a point? Note

that a point is won if the dart lands on a black square.

2. For one throw of the dart, what is the probability of NOT winning a point?

Note that you do not earn any points if the dart lands on a white square.

Name: ______________________________


Homeroom:

Ms. Huber (614) 859-0019

7th Grade Math:

Unit: Statistics

and Probability

Packet 103:

Simulations

Redo:

Score: ________/5 _________% DNG A B C D F

Suppose a game consists of throwing a dart three times. A trial consists of three

rolls of the number cube. (1 is a win, 2, 3, or 4 is a loss). The results of the

experiment are listed below.

324 332 411 322 124 224 221 241 111 223

321 332 112 433 412 443 322 424 412 433

144 322 421 414 111 242 244 222 331 224

113 223 333 414 212 431 233 314 212 241

421 222 222 112 113 212 413 341 442 324

3. For each roll, you can either win 0, 1, 2 or 3 points. For each outcome

listed in the table, how many points did you win?

324 321 144 113 421

332 332 322 223 222

411 112 421 333 222

322 433 414 414 112

124 412 111 212 113

224 443 242 431 212

221 322 244 233 413

241 424 222 314 341

111 412 331 212 442

223 433 224 241 324

4. You rolled the number cube 50 times. Write the probabilities for getting 0,

1, 2, or 3 points.

Number of

Points

0 1 2 3

Times You

Rolled

Probability


final answer.

1. Nancy spins the spinner at the right 60 times. Predict how many times the

spinner will land on the number 2.

2. Predict the number of outcomes for each of the given number rolls on a

standard die.

a. Outcome: 7

Number of Rolls: 36

b. Outcome: Greater than 5

Number of Rolls: 120

Name: ______________________________


Homeroom:

Mrs. Huber: (614) 859-0019

7th Grade Math:

Unit: Statistics

and Probability

Packet 105:

Probability and

Decision Making

Redo:

Score: ________/5 _________% DNG A B C D F

3. Ohio’s state flower is the scarlet carnation. A garden has 30 scarlet

carnation seeds and 9 of them sprout. Use experimental probability to

predict how many scarlet carnation seeds will sprout if you plant 50 seeds.

4. A pin is dropped at random onto the rectangle below. The pin lands in

one of the small squares. If you drop a pin 72 times, how many times

would you expect to land inside a white square?


final answer.

1. The chart below shows the number of miles Sam drove each day for two

weeks.

What is the difference in average daily miles between the two weeks?

Average week 1:

Average week 2:

Difference:

Name: ______________________________


Homeroom:

Mrs. Huber: (614) 859-0019

7th Grade Math:

Unit: Statistics

and Probability

Packet 106:

Measures of

Central

Tendency

Redo:

Score: ________/5 _________% DNG A B C D F

2. Veronica and James are both on a bowling team. Below are their bowling

scores. How much higher is Veronica’s median score than James’s

median score?

Veronica:

James:

Eli scored a 93, 97, 75, and 100 in four science tests. What will he need to score

on the 5th test to have a test average of exactly a 93?


final answer.

1. In the data set below, what is the mean absolute deviation?

83, 55, 93, 53, 11, 44

Step One: Find the average of your data set.

Step Two: Calculate the absolute value of each data point’s distance from the

average found in step one.

Step Three: Find the average of those distances found in step two.

Name: ______________________________


Homeroom:

Mrs. Huber: (614) 859-0019

7th Grade Math:

Unit: Statistics

and Probability

Packet 107:

Mean Absolute

Deviation

Redo:

Score: ________/5 _________% DNG A B C D F

2. In the data set below, what is the mean absolute deviation?

52, 90, 94, 38, 19

Step One: Find the average of your data set.

Step Two: Calculate the absolute value of each data point’s distance from the

average found in step one.

Step Three: Find the average of those distances found in step two.


final answer.

For the box-and-whisker plot, identify the following.

1.) lower extreme ____________ 2.) lower quartile ____________

3.) upper extreme ____________ 4.) upper quartile ____________

The box-and-whisker plot shows the number of stories of buildings in

Cleveland, Ohio.

5.) About what fraction of the buildings have more than 46 stories?

Name: ______________________________


Homeroom:

Mrs. Huber: (614) 859-0019

7th Grade Math:

Unit: Statistics

and Probability

Packet 108: Box

and Whisker

Plots

Redo:

Score: ________/5 _________% DNG A B C D F

Directions: Use your notes to complete the steps you need to follow in order

to create a box and whisker plot. After you have filled in the blanks, use the

data to create a box and whisker plot.

Step One: Put the data in ____________________.

Step Two: Find the ________________ of the _________________ data set.

Step Three: Find the _______________ of the two halves. These numbers will

become your ____________________ and ____________________ quartiles.

Step Four: Find the ____________________ and ____________________

extremes.

Step Five: Create a number line and graph your values!

The data: Math test scores 80, 75, 90, 95, 65, 65, 80, 85, 70, 100

Name: ______________________________


Homeroom:

7th Grade Math:

Unit: Statistics

and Probability

Packet 111:

Random

Sampling

Directions: Answer the following questions. Read carefully to determine if it is

asking for you to identify the population or the sample.

1. You want to know how many students in your school are going to the

volleyball game. You survey 50 students. Ten are going to the game. The

rest are not going to the game. Identify the population and the sample.

2. A beverage company wanted to see if people in the United States liked

their new logo. Which choice BEST represents a population?

a. A selection of logo artists.

b. Every person in the United States.

c. A selection of shoppers from different states.

d. 3,800 children age 5-15.

3. A musician wanted to see what people who bought his last album

thought about the songs. Which choice BEST represents a random

sample?

a. Every person who bought the album.

b. A selection of people who didn’t want to buy the album.

c. 250 girls who bought the album.

d. A selection of 3,294 people who bought the album.

4. A gaming console website wanted to find out which console its visitors

owned. Which choice BEST represents a population?

a. Visitors to the 3DS section.

b. All of the website visitors.

c. Visitors to the PS4 sections.

d. Visitors who are on the website for more than 5 minutes.

5. A mayor wanted to see if the people in his town thought he was doing a

good job. Which choice BEST represents a random sample?

a. 1,000 unemployed voters.

b. The mayor’s family.

c. The residents of a town.

d. 242 voters.

6. Before a nationwide election, a polling place was trying to see who would

win. Which choice BEST represents a random sample?

a. A selection of voters over 50.

b. A selection of male voters.

c. All voters.

d. A selection of voters of different ages.

7. A restaurant chain wanted to find out how the customer experience was

in a store. Which choice BEST represents a random sample?

a. 1 out of every 35 customers.

b. All of the people who ate at a store.

c. 240 customers who spent more than $10.

d. 299 people who filled out complain cards.

Directions: Read the following scenarios. Determine if the sampling method used

would produce unbiased results. If you think the results are unbiased, explain

why. If you think the results are biased, what could you do to make it unbiased?

1. To evaluate customer satisfaction, a grocery store gives double coupons to

anyone who completes a survey as they enter the store. The store manager

determines that customers are very satisfied with their shopping experience in

his store.

______________________________________________________________________________

______________________________________________________________________________

______________________________________________________________________________

______________________________________________________________________________

2. To evaluate the integrity of underground water lines, the department of

public works randomly selects 20 sites in the city to unearth and observe the

water lines.

______________________________________________________________________________

______________________________________________________________________________

______________________________________________________________________________

______________________________________________________________________________

Name: ______________________________


Homeroom:

Mrs. Huber: (614) 859-0019

7th Grade Math:

Unit: Statistics

and Probability

Packet 112:

Biased vs

Nonbiased

Samples

Redo:

Score: ________/5 _________% DNG A B C D F

3. To award prizes at a hockey game, four tickets with individual seat numbers

printed on them are picked from a barrel. Since Mrs. Petrozzi’s seat was not

picked, she assumes that they forgot to include her ticket in the drawing.

______________________________________________________________________________

______________________________________________________________________________

______________________________________________________________________________

______________________________________________________________________________

4. To evaluate the quality of their product, a manufacturer of cell phones

checks every 50th phone off the assembly line.

______________________________________________________________________________

______________________________________________________________________________

______________________________________________________________________________

______________________________________________________________________________

5. A magazine asks its readers to complete and return a questionnaire about

popular television actors.

______________________________________________________________________________

______________________________________________________________________________

______________________________________________________________________________

______________________________________________________________________________

Name: _____________________________

Date: April 3, 2017

Homeroom:

7th Grade Math:

Unit: Statistics

and Probability

Packet 114:

Statistics Review

TEST FRIDAY

1. Anita is in charge of ordering food for the snack bar at the upcoming

elementary school track meet. In order to make as much money as possible,

she should:

a. Order what she likes

b. Order what she thinks people will buy

c. Order something of everything

d. Make a survey of what students are most likely to buy

2. Diane decides to find out what snack food students like at her elementary

school. What should she do to get the most accurate information?

a. Ask her friends

b. Take a survey among the girls in her class

c. Take a survey among students in each grade

d. Find out what was ordered last year

3. Jung wanted to find out which band was most popular among the high

school students. Where should he conduct his survey to get the most

unbiased survey?

a. In the school cafeteria

b. At a school dance where band A is playing

c. At the record store where a member of band B is giving autographs

d. At the next school board meeting

4. Feticia wanted to find out which hip hop video was most popular among the

junior high school students. Where should she conduct her survey to get the

most unbiased survey?

a. At a teacher’s meeting

b. In her physical education class where her classmates all like jazz

c. In the band hall where hip-hop music is not allowed

d. At a school dance

5. Earl wanted to find out which sport was most popular among high school

students. Where should he conduct his survey to get the most unbiased

survey?

a. At a game for sport A

b. At the tryouts for sport B

c. At a chess club meeting

d. At physical education sign-ups

6. A track coach wanted to know how fast an average 7th grade girl at her

school could run a 400-meter dash. There are 55 seventh graders at her

school. How could the track coach find a reasonable estimate for the

average 400-meter time?

a. By asking one of the 7th grade girls how fast she could run

b. By timing one 7th grade girl and using that time

c. By timing two 7th grade girls and averaging their times

d. By timing twenty 7th grade girls and averaging their times

7. Jared checked the school soda vending machine sales each hour between

8 am and 3 pm. The 11 am count each day averaged about 20 sodas. Jared

then predicted about 20 sodas will be sold each hour of the day. What is

wrong with this prediction?

a. Students might buy pizza

b. It might start raining

c. More sodas are usually sold during lunchtime

d. Students may not have any more money

8. To show that M&M candy bags have more of a certain color than other

colors you could:

a. Survey your friends for the favorite M&M color

b. Sort several bags and calculate percentages

c. Count only the bag you just bought

d. Tell people to buy more M&Ms


final answer.

1. The owner of a new coffee shop is keeping track of how much each

customer spends (in dollars). One hundred of these amounts are shown in

the table below. These amounts will form the population for this question.

𝟎 𝟏 𝟐 𝟑 𝟒 𝟓 𝟔 𝟕 𝟖 𝟗

𝟎 𝟔. 𝟏𝟖 𝟒. 𝟔𝟕 𝟒. 𝟎𝟏 𝟒. 𝟎𝟔 𝟑. 𝟐𝟖 𝟒. 𝟒𝟕 𝟒. 𝟖𝟔 𝟒. 𝟗𝟏 𝟑. 𝟗𝟔 𝟔. 𝟏𝟖

𝟏 𝟒. 𝟗𝟖 𝟓. 𝟒𝟐 𝟓. 𝟔𝟓 𝟐. 𝟗𝟕 𝟐. 𝟗𝟐 𝟕. 𝟎𝟗 𝟐. 𝟕𝟖 𝟒. 𝟐𝟎 𝟓. 𝟎𝟐 𝟒. 𝟗𝟖

𝟐 𝟑. 𝟏𝟐 𝟏. 𝟖𝟗 𝟒. 𝟏𝟗 𝟓. 𝟏𝟐 𝟒. 𝟑𝟖 𝟓. 𝟑𝟒 𝟒. 𝟐𝟐 𝟒. 𝟐𝟕 𝟓. 𝟐𝟓 𝟑. 𝟏𝟐

𝟑 𝟑. 𝟗𝟎 𝟒. 𝟒𝟕 𝟒. 𝟎𝟕 𝟒. 𝟖𝟎 𝟔. 𝟐𝟖 𝟓. 𝟕𝟗 𝟔. 𝟎𝟕 𝟕. 𝟔𝟒 𝟔. 𝟑𝟑 𝟑. 𝟗𝟎

𝟒 𝟓. 𝟓𝟓 𝟒. 𝟗𝟗 𝟑. 𝟕𝟕 𝟑. 𝟔𝟑 𝟓. 𝟐𝟏 𝟑. 𝟖𝟓 𝟕. 𝟒𝟑 𝟒. 𝟕𝟐 𝟔. 𝟓𝟑 𝟓. 𝟓𝟓

𝟓 𝟒. 𝟓𝟓 𝟓. 𝟑𝟖 𝟓. 𝟖𝟑 𝟒. 𝟏𝟎 𝟒. 𝟒𝟐 𝟓. 𝟔𝟑 𝟓. 𝟓𝟕 𝟓. 𝟑𝟐 𝟓. 𝟑𝟐 𝟒. 𝟓𝟓

𝟔 𝟒. 𝟓𝟔 𝟕. 𝟔𝟕 𝟔. 𝟑𝟗 𝟒. 𝟎𝟓 𝟒. 𝟓𝟏 𝟓. 𝟏𝟔 𝟓. 𝟐𝟗 𝟔. 𝟑𝟒 𝟑. 𝟔𝟖 𝟒. 𝟓𝟔

𝟕 𝟓. 𝟖𝟔 𝟒. 𝟕𝟓 𝟒. 𝟗𝟒 𝟑. 𝟗𝟐 𝟒. 𝟖𝟒 𝟒. 𝟗𝟓 𝟒. 𝟓𝟎 𝟒. 𝟓𝟔 𝟕. 𝟎𝟓 𝟓. 𝟖𝟔

𝟖 𝟓. 𝟎𝟎 𝟓. 𝟒𝟕 𝟓. 𝟎𝟎 𝟓. 𝟕𝟎 𝟓. 𝟕𝟏 𝟔. 𝟏𝟗 𝟒. 𝟒𝟏 𝟒. 𝟐𝟗 𝟒. 𝟑𝟒 𝟓. 𝟎𝟎

𝟗 𝟓. 𝟏𝟐 𝟓. 𝟓𝟖 𝟔. 𝟏𝟔 𝟔. 𝟑𝟗 𝟓. 𝟗𝟑 𝟑. 𝟕𝟐 𝟓. 𝟗𝟐 𝟒. 𝟖𝟐 𝟔. 𝟏𝟗 𝟓. 𝟏𝟐

a. Let’s select a random sample of size 5 from the population above. Fill in

the following table.

Random Number Corresponding Population Observation

26 $4.22

92

55

71

02

b. Calculate the sample mean.

Name: ______________________________

Date: April 5, 2017

Homeroom:

Mrs. Huber: (614) 859-0019

7th Grade Math:

Unit: Statistics

and Probability

Packet 115:

Sample Size

Redo:

Score: ________/5 _________% DNG A B C D F

Use the following information to answer questions 2-3.

Two dot plots are shown below. One of the dot plots shows the values of some

sample means from random samples of size 5 from the population given in Part

A. The other dot plot shows the values of some sample means from random

samples of size 20 from the population given in Part A.

Dot Plot A

Dot Plot B

2. Which dot plot is for sample means from samples of size 5? How do you

know? Answer in complete sentences.

3. Which dot plot is for sample means from samples of size 20? How do you

know? Answer in complete sentences.

Directions: Classify the triangles below based on their angles and sides.

Angles: ______________________________

Sides: ________________________________

Angles: ______________________________

Sides: ________________________________

Angles: ______________________________

Sides: ________________________________

Angles: ______________________________

Sides: ________________________________

Directions: Can the angles in a triangle have the measures given?

1. 143˚, 27˚, 10˚ __________________________________________________________

2. 104˚, 42˚, 44˚ __________________________________________________________

Name: _____________________________

Date: April 10, 2017

Homeroom:

Mrs. Huber: (614) 859-0019

7th Grade Math:

Unit: Geometry

Packet 117:

Triangles

Redo:

Score: ________/5 _________% DNG A B C D F

Directions: Find the value of x in the triangles below. Then classify the triangles

by its sides and angles.

x = __________

Angles:

Sides:

x = __________

Angles:

Sides:

x = __________

Angles:

Sides:

x = __________

Angles:

Sides:

Directions: Decide whether each set of numbers is a triangle.

1. 15, 12, 9

2. 23, 16, 7

3. 20, 10, 9

4. 8.5, 6.5, 13.5

5. 47, 28, 70

6. 28, 41, 13

7. 5, 10, 15

8. 9, 40, 41

Name: _____________________________


Homeroom:

Mrs. Huber: (614) 859-0019

7th Grade Math:

Unit: Geometry

Packet 118:

Triangle

Inequality

Theorem

Redo:

Score: ________/5 _________% DNG A B C D F

9. 12, 2.2, 14. 10. 6, 9, 16

Directions: The measures of two sides are given. Between what two numbers

must the third side fall?

11. 9 and 15

12. 11 and

20

13. 23 and 14

14. 5 and 8

15. 15 and 18

Directions: Answer the following questions. Show all of your work

and circle your final answer.

1. Use the figures below to answer the following questions.

a. Which angle is congruent to: U _________ T _________ V _________

b. Which side is congruent to:

TU __________ TV __________ UV __________

c. Write a correct congruence statement about the

triangles. (Example: GHI JKL)

2. Complete each congruence statement.

HGI __________

JKL __________

IGH __________

LJK __________

Name:

_____________________________


Homeroom:

Mrs. Huber: (614) 859-0019

7th Grade

Math:

Unit:

Geometry

Packet

119:

Identical

Triangles

Redo:

Score: ________/5 _________%

DNG

A B C

D F

3. Complete each congruent statement. ATM __________ TMA __________

MAT __________

TAM __________

4. State whether the following appear to be true or false.

a.) PUT RAZ True False

b.) TUP RZA True False

c.) UPT ARZ True False

d.) PTU RZA True False

Name: _____________________________


Homeroom:

7th Grade Math:

Unit: Year

Review

Packet 121: Year

Review 2

1. What is the value of the expression?

8

15+ (−0.35)

a. −75

14

b. −32

21

c. −21

32

d. −14

75

2. What is the value of the expression below?

a. -2.5

b. -2.3

c. 2.3

d. 2.5

Work:

Work:

3. Which expression is equivalent to 4 – (-7)?

a. 7 + 4

b. 4 – 7

c. -7 – 4

d. -4 + 7

4. The elevation at ground level is 0 feet. An elevator starts 90 feet below

ground level. After traveling for 15 seconds, the elevator is 20 feet below

ground level. Which statement describes the elevator’s rate of change in

elevation during this 15-second interval?

a. The elevator traveled upward at a rate of 6 feet per second.

b. The elevator traveled upward at a rate of 42

3 feet per second.

c. The elevator traveled downward at a rate of 6 feet per second.

d. The elevator traveled downward at a rate of 42

3 feet per second.

5. Which expression represents the product of 3 and (6

4𝑛 + 1.8)?

a. 5.55n

b. 9.15n

c. 3.75n + 1.8

d. 3.75n + 5.4

Work:

Work:

Name: _____________________________


Homeroom:

7th Grade Math:

Unit: Year

Review

Packet 122: Year

Review 3

1. A recycling plant processes an average of 1

3 ton of glass each minute. At

approximately what rate does the recycling plant process glass, in tons

per day? (1 day = 24 hours)

a. 20

b. 180

c. 480

d. 4,320

2. When Keisha installed a fence along the 200-foot perimeter of her

rectangular back yard, she left an opening for a gate. In the diagram

below, she used x to represent the length, in feet, of the gate.

What is the value of x?

a. 10

b. 20

c. 25

d. 30

Work:

Work:

3. Last year, 950 people attended a town’s annual parade. This year, 1,520

people attended. What was the percent increase in attendance from last

year to this year?

a. 37.5%

b. 57.0%

c. 60.0%

d. 62.5%

4. An after-school program offers tutoring for different subjects. During the

last month, a teacher recorded the number of students who participated

in tutoring in each subject, as shown in the table below.

Explain how the teacher could use these data to predict about how

many of the next 100 students will participate in math tutoring.

Work:

Name: _____________________________


Homeroom:

7th Grade Math:

Unit: Year

Review

Packet 123: Year

Review 4

1. A contractor is building the base of a circular fountain. On the blueprint, the

base of the fountain has a diameter of 18 centimeters. The blueprint has a

scale of three centimeters to four feet. What will be the actual area of the

base of the fountain, in square feet, after it is built? Round your answer to the

nearest tenth of a square foot.

2. Explain the steps needed to determine the value of the expression shown

below. Be sure to provide the correct value of the expression in your

explanation.

3. The lines graphed below show the amounts of water in two tanks as they

were being filled over time.

For each tank, explain whether or not there is a proportional relationship

between the amount of water, in gallons, and the time, in minutes. If there is

a proportional relationship, identify the unit rate. Use specific features of the

graph to support your answer.

Directions: Define the following terms. Use your notes to help!

1. Acute Angle: __________________________________________________________

2. Obtuse Angle: _________________________________________________________

3. Straight Angle: _________________________________________________________

4. Right Angle: ___________________________________________________________

Directions: Measure the following angles. Classify the angles on the line.

5. ______________________________

6. ________________________________

Name: ______________________________


Homeroom:

Mrs. Huber: (614) 859-0019

7th Grade Math:

Unit: Geometry

Packet 124:

Measuring

Angles

Redo:

Score: ________/5 _________% DNG A B C D F

7. ______________________________

8. ________________________________

9. ______________________________

10. ________________________________

Directions: Use the following diagram to answer the following questions.

1. Name 3 acute angles in the diagram.

____________________ ____________________ ____________________

2. Name 2 obtuse angles in the diagram.

______________________________ ______________________________

3. Name 1 straight angle in the diagram.

______________________________

Name: ______________________________

Date: May 1, 2017

Homeroom:

Ms. Huber: (614) 859-0019

7th Grade Math:

Unit: Geometry

Packet 125:

Drawing Angles

Redo:

Score: ________/5 _________% DNG A B C D F

4. 𝑚∠𝐿𝐴𝑋 = 27˚

5. 𝑚∠𝑆𝐹𝑂 = 150˚

6. 𝑚∠𝑆𝐴𝐶 = 40˚ 7. 𝑚∠𝑆𝐴𝑁 = 85˚

Directions: Answer the following questions. Show all of your work.

1. Draw segment AB that is 5 cm in length, perpendicular to segment CD, 2

cm in length.

2. Draw supplementary angle so that one angle is 26˚. Label each angle

with its measurement.

Name: ______________________________

Date: May 2, 2017

Homeroom:

Ms. Huber 614-949-7963

7th Grade Math:

Unit: Geometry

Packet 126:

Drawing

Geometric

Shapes 1

Redo:

Score: ________/5 _________% DNG A B C D F

Review!

1. Find the measure of angle m in the figure below.

A. 180˚

B. 63˚

C. 28˚

D. 243˚

2. Caleb drew two congruent triangles as shown.

Jan asked Caleb to prove that the triangles are congruent.

Explain how Caleb can prove to Jan that triangle ABC is congruent to triangle XYZ.

Answer in complete sentences.


final answer.

1. Is it possible to construct a triangle with angle measurements of 20˚, 55˚

and 105˚? Explain why or why not in a complete sentence.

2. The Ohio state flag contains an isosceles triangle. What is the measure of

x? Show all of your work.

Name: ______________________________

Date: May 3, 2017

Homeroom:

Ms. Huber (614) 859-0019

7th Grade Math:

Unit: Geometry

Packet 127:

Drawing

Geometric

Shapes 2

Redo:

Score: ________/5 _________% DNG A B C D F

3. Jennifer has 78 feet of fencing to make a rectangular vegetable garden.

Which dimensions will give Jennifer the garden with the greatest area?

The diagrams are not made to scale. Prove your answer is correct by

calculating the area for each of the rectangles.

A.

B.

C.

D.


final answer.

1. Find the measure of angle m in the figure below.

A. 180˚

B. 63˚

C. 28˚

D. 243˚

Name: ______________________________

Date: May 4, 2017

Homeroom:

Ms. Huber (614) 859-0019

7th Grade Math:

Unit: Geometry

Packet 128:

Drawing

Geometric

Shapes 3

Redo:

Score: ________/5 _________% DNG A B C D F

Work:

2. Gary is learning about mosaics in Art class. His teacher passes out small square

tiles and encourages the students to cut up the tiles in various angles. Gary’s first

cut tile looks like this:

Solve for m.

A. 50˚

B. 75˚

C. 25˚

D. 15˚

3. During her summer vacation, Rachel mows lawns. Rachel is mowing a

rectangular section of lawn that measures 120 feet long and 80 feet wide. What

is the area of the lawn?

A. 200 square feet

B. 40 square feet

C. 960 square feet

D. 9,600 square feet

(𝑚 − 10)°

3𝑚°

Work:


final answer.

1. Which of the following cannot be used to prove that two triangles are

congruent?

A. Angle, Angle, Side (AAS)

B. Side, Angle, Side (SAS)

C. Side, Side, Side (SSS)

D. Angle, Angle, Angle (AAA)

2. Which pair of triangles shows congruency by the Side, Angle, Side Condition?

A. Figure A

B. Figure B

C. Figure C

D. Figure D

Name: ______________________________

Date: May 8, 2017

Homeroom:

Mrs. Huber (614) 859-0019

7th Grade Math:

Unit: Geometry

Packet 130:

Checking for

Identical

Triangles

Redo:

Score: ________/5 _________% DNG A B C D F

3. Which of the following conditions can be used to prove that the triangles below

are congruent?

A. Angle, Side, Angle

B. Side, Side, Side

C. Side, Angle, Side

D. Angle, Angle, Side

4. Which of the following conditions can be used to prove ΔPQR ≅ ΔABC?

A. Side, Side, Side

B. Angle, Side, Angle

C. Side, Angle, Side

D. Angle, Angle, Side

5. Are the following triangles identical? How do you know? Answer in complete

sentences.


final answer. Make sure you include units!

1. Find the area of the figure shown.

2. A trapezoid has an area of 36 mm2, and it’s two bases are 10 mm and 2

mm. What is the height of the trapezoid? Show all work and circle your

answer.

Name: ______________________________

Date: May 9, 2017

Homeroom:

Ms. Huber (614) 859-0019

7th Grade Math:

Unit: Geometry

Packet 132:

Area of

Trapezoids and

SA

Redo:

Score: ________/5 _________% DNG A B C D F

14 ft

5 ft

6 ft

?

3. The state of Vermont is shaped like a trapezoid. What is the approximate

area of Vermont?

Vermont is approximately ________________________ square miles.

4. Calculate the surface area of the below prism.

5. Calculate the surface area of the below prism.

Documents

Name: 7th Grade Math: Unit: Statistics Date: March 8, 2017 ......1. There are 8 red, 5 yellow, and 7 green cubes in a box. What is the probability of drawing a yellow cube and then