Please log on to www.studyisland.com for your homework.
Login: FirstName.LastName@ms181
Password: welcome
Holiday Math Culminating Packet 4/10/14
Phschool.com video tutorial: Click on a lesson to view video




3/17  704 and 703  Homework iready packet pages 128  131.
3/17  707 Homework iready packet pages 131  135.
3/17  707 Homework iready packet pages 131  135.
3/13  3/14:
7.EE.4aSolve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
7.EE.4aSolve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
 Many situations in the realworld can be modeled with a linear equation. When writing an equation based on a realworld situation, consider the following.
a. Initial condition  If an initial condition exists in the situation, then this condition will be the yintercept of the line.
b. Reoccurring condition  A reoccurring condition will be a change which happens in the situation on a regular basis and will be the slope of the line.
 Solving onestep, twostep, multistep equations. For example: 2x = 6
 Divide by the coefficient 2 on both sides of the equation to isolate the variable
 To solve a onestep equation, get the variable by itself on one side of the equation.
 To isolate the variable, use an inverse (opposite) operation.
 To keep the equation balanced, perform the same operation on both
sides of the equation
3/10  3/12
VOCABULARY
Diameter: the length of a line segment from one side of a circle to the other, passing through the center of the circle
Radius: the length of a line segment from the center of a circle to its edge; the radius is half the value of the diameter
Circumference: the distance around a circle
VOCABULARY
Diameter: the length of a line segment from one side of a circle to the other, passing through the center of the circle
Radius: the length of a line segment from the center of a circle to its edge; the radius is half the value of the diameter
Circumference: the distance around a circle
3/5  Order of Operations
a) Evaluate 3 + 6 x (5 + 4) ÷ 3  7 using the order of operations.
b) Evaluate 9  5 ÷ (8  3) x 2 + 6 using the order of operations.
c) Evaluate 150 ÷ (6 + 3 x 8)  5 using the order of operations.
d) Write an arithmetic expression for this problem. Then evaluate the expression using the order of operations. Mr. Smith charged Jill $32 for parts and $15 per hour for labor to repair her bicycle. If he spent 3 hours repairing her bike, how much does Jill owe him?
e) 9 + 6 x (8  5)
f) (14  5) ÷ (9  6)
g) 5 x 8 + 6 ÷ 6  12 x 2
h) A caterer charges a setup fee of $50, plus $20 per person. How much will the caterer charge if 35 people attend the party, and the customer has a coupon for $100 off the total?
b) Evaluate 9  5 ÷ (8  3) x 2 + 6 using the order of operations.
c) Evaluate 150 ÷ (6 + 3 x 8)  5 using the order of operations.
d) Write an arithmetic expression for this problem. Then evaluate the expression using the order of operations. Mr. Smith charged Jill $32 for parts and $15 per hour for labor to repair her bicycle. If he spent 3 hours repairing her bike, how much does Jill owe him?
e) 9 + 6 x (8  5)
f) (14  5) ÷ (9  6)
g) 5 x 8 + 6 ÷ 6  12 x 2
h) A caterer charges a setup fee of $50, plus $20 per person. How much will the caterer charge if 35 people attend the party, and the customer has a coupon for $100 off the total?
3/3  HW Writing Algebraic Equations
1. Jeanne has $17 in her piggy bank. How much money does she need to buy a game that costs $68?
2. Twice a number, decreased by twentynine, is seven.
3. Thirtytwo is twice a number increased by eight.
4. The quotient of fifty and five more than a number is ten.
5. Twelve is sixteen less than four times a number.
6. Eleni is x years old. In thirteen years she will be twentyfour years old.
7. Each piece of candy costs 25 cents. The price of h pieces of candy is $2.00.
8. Suzanne made a withdrawal of d dollars from her savings account. Her old balance was $350, and her new balance is $280.
9. A large pizza pie with 15 slices is shared among p students so that each student's share is 3 slices.
2. Twice a number, decreased by twentynine, is seven.
3. Thirtytwo is twice a number increased by eight.
4. The quotient of fifty and five more than a number is ten.
5. Twelve is sixteen less than four times a number.
6. Eleni is x years old. In thirteen years she will be twentyfour years old.
7. Each piece of candy costs 25 cents. The price of h pieces of candy is $2.00.
8. Suzanne made a withdrawal of d dollars from her savings account. Her old balance was $350, and her new balance is $280.
9. A large pizza pie with 15 slices is shared among p students so that each student's share is 3 slices.
2/28  HW 703  704  707 Writing Algebraic Expressions
1. Ms. Jensen likes to divide her class into groups of 2. Use mathematical symbols to represent all the students in her class.
2. A small company has $1000 to distribute to its employees as a bonus. How much money will each employee get? .
3. An electrician charges $45 per hour and spends $20 a day on gasoline. Write an algebraic expression to represent his earnings for one day.
4. Fifteen less than twice a number
5. Three times a number, increased by seventeen
6. The product of nine and a number, decreased by six
7. Thirty divided by seven times a number
8. Jenny earns $30 a day working part time at a supermarket. Write an algebraic expression to represent the amount of money she will earn in d days.
2. A small company has $1000 to distribute to its employees as a bonus. How much money will each employee get? .
3. An electrician charges $45 per hour and spends $20 a day on gasoline. Write an algebraic expression to represent his earnings for one day.
4. Fifteen less than twice a number
5. Three times a number, increased by seventeen
6. The product of nine and a number, decreased by six
7. Thirty divided by seven times a number
8. Jenny earns $30 a day working part time at a supermarket. Write an algebraic expression to represent the amount of money she will earn in d days.
2/10  HW 703  704 707
Culminating Percent Activity
In New York State, sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1/2.
a. A book costs $12.99 and a video game costs $39.99. Rounded to the nearest cent, how much more is the tax on the video game than the tax on the book?
b. Using n to represent the cost of an item before tax and t to represent the amount of sales tax for that item, write an equation to show the relationship between n and t.
c. Using your equation, create a table that includes five possible pairs of solutions to the equation. Label each column appropriately.
In New York State, sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1/2.
a. A book costs $12.99 and a video game costs $39.99. Rounded to the nearest cent, how much more is the tax on the video game than the tax on the book?
b. Using n to represent the cost of an item before tax and t to represent the amount of sales tax for that item, write an equation to show the relationship between n and t.
c. Using your equation, create a table that includes five possible pairs of solutions to the equation. Label each column appropriately.
2/4  Percent Project 703  704  707
1. A group of friends went to lunch. The bill, before sales tax and tip, was $37.50. A sales tax of 8% was added. The group then tipped 18% on the amount after the sales tax was added. What was the amount, in dollars, of the sales tax? Show your work.
(a) What was the total amount the group paid, including tax and tip? Show your work
2. Erica bought a car for $24,000. She had to add Pennsylvania’s sales tax of 6%. The total price of the car is closest to?
3. Sales tax in New York State is 8.25%. Find the amount of tax on a keyboard that sells for $59.99 at Grant’s Music Center. Show all work
4. In New York State, sales tax rates vary by county. In Allegany County, the sales tax rate is .
(a) A book costs and a video game costs . Rounded to the nearest cent.
(b) How much more is the tax on the video game than the tax on the book?
5. Find the total cost of an item that sells for $138. If the sales tax rate is 7.5
6. Mr. Medina is buying some items that cost $523. If there is an 8% sales tax rate in Mr. Medina’s state, what is the total cost of the items?
7. Find the amount of discount for a $150 pair of boots that are advertised at 25% off.
8. Find the sale price if you were given an additional 15% off. Show all work
9. Find the amount of discount for the following items with an additional 10% off.
10. American Eagle is having a sale in which all items are 30% off. What is the sales price of pair of jeans that has a retail price of $44?
(a) What was the total amount the group paid, including tax and tip? Show your work
2. Erica bought a car for $24,000. She had to add Pennsylvania’s sales tax of 6%. The total price of the car is closest to?
3. Sales tax in New York State is 8.25%. Find the amount of tax on a keyboard that sells for $59.99 at Grant’s Music Center. Show all work
4. In New York State, sales tax rates vary by county. In Allegany County, the sales tax rate is .
(a) A book costs and a video game costs . Rounded to the nearest cent.
(b) How much more is the tax on the video game than the tax on the book?
5. Find the total cost of an item that sells for $138. If the sales tax rate is 7.5
6. Mr. Medina is buying some items that cost $523. If there is an 8% sales tax rate in Mr. Medina’s state, what is the total cost of the items?
7. Find the amount of discount for a $150 pair of boots that are advertised at 25% off.
8. Find the sale price if you were given an additional 15% off. Show all work
9. Find the amount of discount for the following items with an additional 10% off.
10. American Eagle is having a sale in which all items are 30% off. What is the sales price of pair of jeans that has a retail price of $44?
HW  2/3  703  704  707
Direction for number A through D, round your answer to the nearest cent if necessary.
a) What is the total cost of a CD that cost $13.99 plus a 4% sales tax rate? Show your work!
total cost: _______
b) At the bike shop, Linda is buying a new bike that costs $315. If the sales tax rate in her state is 6$, how much tax will Linda have to pay on the bike? Show your work!
tax: _____
c) Kaliah is on vacation in a state where the sales tax rate is 5%. She bought a Tshirt that cost $18. With the tax added, wjhat was the total cost of the shirt? Show your work!
total cost = _______
d) John is buying a stereo that cost $899. If the sales tax rate in John’s state is 4%, how much tax will he have to pay on the stereo? Show your work!
tax = ___________
e) Mary is buying some items that cost $46.80 altogether. If there is a 7% sales tax rate in Mary’s state, what is the total cost of the items? Show your work!
a) What is the total cost of a CD that cost $13.99 plus a 4% sales tax rate? Show your work!
total cost: _______
b) At the bike shop, Linda is buying a new bike that costs $315. If the sales tax rate in her state is 6$, how much tax will Linda have to pay on the bike? Show your work!
tax: _____
c) Kaliah is on vacation in a state where the sales tax rate is 5%. She bought a Tshirt that cost $18. With the tax added, wjhat was the total cost of the shirt? Show your work!
total cost = _______
d) John is buying a stereo that cost $899. If the sales tax rate in John’s state is 4%, how much tax will he have to pay on the stereo? Show your work!
tax = ___________
e) Mary is buying some items that cost $46.80 altogether. If there is a 7% sales tax rate in Mary’s state, what is the total cost of the items? Show your work!
HW 1/30 >707
In New York State, sales tax rates vary by county. In King County, the sales tax rate is 8.5%.
a. A book costs $12.99 and a video game costs $39.00. Rounded to the nearest cent, how much more is the tax on the video game than the tax on the book? a. b. Using n to represent the cost of an item before tax and t to represent the amount of sales tax for that item, write an equation to show the relationship between n and t. 

c. Using your equation, create a table that includes five possible pairs of solutions to the equation. Label each column appropriately.
d. Graph the relationship from parts (a) and (b) in the coordinate plane. Include a title and appropriate scales and labels for both axes. e. Is the relationship proportional? Why or why not? If so, what is the constant of proportionality? Explain. 
HW 1/28 > 703  704  707
1. Jane paid $40 for an item after she received a 20% discount. Jane’s friend this means that the original price of the item was $48.
(a) How do you think Jane’s friend arrived at this amount? (b) Is her friend correct? Why or why not? 
2. The sale price of an item is $160 after a 20% discount. What was the original price of the item?
3. Original
price of concert tickets: $100.00, Discount: 21% and an additional discount of
5%.

HW 1/27  704 & 707
Find the discount and sale price of each item.
 In a boutique, a $14 scarf is marked, "20% off." What is the discount? What is the sale price of the scarf?
 In an electronics store, a $75 iPod is labeled, "Save 15%." What is the sale price of the iPod?
 What is the discount for the iPod in Exercise 2?
 A $30 shirt is marked, "Get 1/3 off." What is the sale price of the shirt?
 In a bicycle store, a $500 bicycle is marked, "Get a 30% discount." What is the sale price of the bicycle?
1/13  HW 704 & 707
1. On a recent survey, 60% of those surveyed indicated that they preferred walking to running. If people preferred walking, how many people were surveyed?
How many people preferred running?
2. Which is greater: of or of ? Explain your reasoning using algebraic representations or visual models.
3. Maya spent of her savings to pay for a bicycle that cost her .
Show all work
a. How much money was in her savings to begin with?
b. How much money does she have left in her savings after buying the bicycle?
4. Matthew’s total points scored in basketball this season were points. He scored of those points in the regular season and the rest were scored in his only playoff game. What percent of his total points did he score in the playoff game?
How many people preferred running?
2. Which is greater: of or of ? Explain your reasoning using algebraic representations or visual models.
3. Maya spent of her savings to pay for a bicycle that cost her .
Show all work
a. How much money was in her savings to begin with?
b. How much money does she have left in her savings after buying the bicycle?
4. Matthew’s total points scored in basketball this season were points. He scored of those points in the regular season and the rest were scored in his only playoff game. What percent of his total points did he score in the playoff game?
1/9/14 HW  703 & 704  Complete fraction, decimal, and percent worksheet.

1/9/14 HW  707 Complete pages 31  32 of Ratio, Proportion, and Percent worksheet.

Percent  Write ratio/fraction as a decimal and percent  Write percents as fraction and decimal.
12/17 Homework 703704707
Download and complete the worksheet.

12/18  Notice703, 704, and 707 Please start working on your packets.

Ratios, Proportions, and Percents
Gerson is going to buy a new computer for his new job and also to download movies. He has to decide between two different computers. How many more kilobytes does the faster computer download in one second?
Choice 1: The rate of download is represented by the equation: 𝒌 = 𝟏𝟓𝟑𝒕, where 𝒕 is time in seconds and 𝒌 is the number of kilobytes. Choice 2: The rate of download is represented by the equation: 𝒌 = 𝟏𝟓𝟎𝒕, where 𝒕 is time in seconds and 𝒌 is the 

Study Unit Rate, Proportional Relationship, for quiz tomorrow 12/13/13
Standard: Analyze proportional relationships and use them to solve realworld and mathematical problems.
Wednesday 12/11 HW  703  704  707
Task 5. Write the ratio 20 students to 4 computers as a unit rate. Create a table to show how many computers 32 students will have. Hint: Use unit rate.
 Identify the Unit Rate
 Identify the Constant of Proportionality
 Determine whether the ratios are in a proportional relationship or not. Explain.
 Write the linear equation from the table.
 Plot the points on the graph provide, make sure to label the graph accordingly. For example (x, y)
Tuesday 12/10 HW  703  704  707
Task 4: A photo developer charges $0.25 per photo developed. Is the total cost proportional to the number of photos developed? Create a ratio table to show how much it would cost to develop, 9, 15, 25, 30, 36 and 45 photos.
 Identify the Unit Rate
 Identify the Constant of Proportionality
 Determine whether the ratio of cost to number of photos developed is in a proportional relationship or not. Explain.
Write an equation from the table.  Plot the points on the graph provide, make sure to label the graph accordingly. For example (x, y)
Monday 12/9 HW  703  704  707
Use the data in a ratio table to compare runners. Create a graph using the data from the ratio table to compare two runners speed. With careful comparison, you will be able to determine the speed of the two runners.
Ratio Table for Casandra and Michael Time (hours) (x) Distance (miles) (y) Ratio Table for Michael Task: 1. Create a graph and plot the coordinates for each runner. 2. Determine whether the distance to time for both runners are in proportional relationship. Explain. 3. Determine how fast both runners are traveling per hour. 4. How long would it take both runners to run 12 miles? 5. How far both runners ran in one and half hour? 6. What is the constant of proportionality for both runners?

Ratio  Proportion, Rate, Unit Rate, Unit Cost, Proportional Relationships.
Thursday 12/5  703  704  707
Study for Quiz
20 Questions: 5 Unit Rate  5 Unit Cost  5 Solving Proportions  5 Which is the better buy.
Wednesday 12/4  704
Determine if the quantities in each pair of rates are proportional. Explain your reasoning and express each proportional relationship as a proportion.
1. $12 saved after 2 weeks; $36 saved after 6 weeks
2. $9 for 3 magazines; $20 for 5 magazines
3. 135 miles driven in 3 hours; 225 miles driven in 5 hours
4. 24 computers for 30 students; 48 computers for 70 students
5. 18 vocabulary words learned in 2 hours; 27 vocabulary words learned in 3 hours
6. $15 for 5 pairs of socks; $25 for 10 pairs of socks
7. 20 out of 45 students attended the concert; 12 out of 25 students attended the concert
8. 78 correct answers out of 100 test questions; 39 correct answers out of 50 test questions
9. 15 minutes to drive 21 miles; 25 minutes to drive 35 miles
1. $12 saved after 2 weeks; $36 saved after 6 weeks
2. $9 for 3 magazines; $20 for 5 magazines
3. 135 miles driven in 3 hours; 225 miles driven in 5 hours
4. 24 computers for 30 students; 48 computers for 70 students
5. 18 vocabulary words learned in 2 hours; 27 vocabulary words learned in 3 hours
6. $15 for 5 pairs of socks; $25 for 10 pairs of socks
7. 20 out of 45 students attended the concert; 12 out of 25 students attended the concert
8. 78 correct answers out of 100 test questions; 39 correct answers out of 50 test questions
9. 15 minutes to drive 21 miles; 25 minutes to drive 35 miles
Tuesday 12/3  703, 704, & 707
Create a ratio table to represent the situations.

Click the link to view the video tutor.

Monday 12/2  703, 704, & 707
 At the same time of day, the height of different objects and their shadows are proportional. If a 6fthigh storage shed casts a shadow 5 feet long, how tall is a tree that casts a 12.5ft shadow? Check off each step. List all steps taken.
 1. Find the unit rate for driving 168 miles in 4 hours. Use the unit rate to find the distance that could be driven in 7 hours. Create a table to represent the information.
a) Write the rate as a fraction
b) Find the equivalent rate with a denominator of 1 (Divide the numerator and the denominator by)
c) The unit rate is _____________________________.
d) To find how many miles could be driven in 7 hours, multiply the numerator and the denominator by 7.
e) At this rate, __________ miles can be driven in 7 hours.
f) Use the data to create a table to find out how many miles could be driven in 14 hours.
Wednesday 11/27  703, 704, & 707
Holiday Assignment
Click to download worksheet: Holiday Project
Solve each Proportion. Show all work 1) The park ranger stocks the fishing pond, keeping a ratio of 4 sunfish for every 3 perch. The ranger has just added 296 sunfish.

5) If you spend 1.5 hours per day doing homework, how many hours would you spend doing homework in 8 days?

Tuesday 11/26  703, 704, and 707
 1. Express 309 miles in 6 hours as a unit rate, then represent the function in a table.
2. An 8ounce box of Crispy Crackers costs $1.59 and a 2pound box costs $6.79. Which box is the better buy? Explain your reasoning.
3. The cost of one CD at a record store is $12. Create a table to show the total cost for different numbers of CDs. Is the total cost proportional to the number of CDs purchased?
4. The cost to rent a lane at a bowling alley is $9 per hour plus $4 for shoe rental. Create a table to show the total cost for each hour a bowling lane is rented if one person rents shoes. Is the total cost proportional to the number of hours rented?
Monday 11/25  703  704 Homework
Find each unit rate. Round to the nearest hundredth if necessary.

Monday 11/25  707 Homework
Is this a proportional relationship and why?
1. A housecleaning service charges $45 for the first hour and $30 per hour for each additional hour. The service works for 4 hours. Is the fee proportional to the number of hours worked? Make a table of values to explain your reasoning. 2. An tiger can run 45 mph. Is the distance it runs proportional to the number of hours it runs? Create a table and decide whether the ratios are proportional or non proportional. Remember the Distance Formula: D = (R x T) 
703  704  707 Homework 11/21/2013
Find the unit rate for the following:

120 eggs from 20 chickens

$55 for 20 people

250 miles in 4 hours

60 feet in 4 minutes

48 books for 16 students

56 children from 14 families

Which is the better deal: 8 ounces of shampoo for $0.99 or 12 ounces for $1.47

Which is the better deal: 3 cans of soda for $1.27 or 5 cans of soda for $1.79

Which is the better deal: 10 pounds of hamburger for $4.99 or 5 pounds of hamburger for
$2.49
11/20  704 & 707 Investigations 4,5,6,&7
 A recipe that makes 32 cookies calls for two cups of flour. How much flour would be needed to make 12 cookies from the same recipe?
 Last month, SmartShop had these three different sales on computer games: 3 for $26.85, 5 for $44.65, and 2 for $17.84. Determine the unit price for each sale. Then tell which sale was the best buy.
Sale 2:
Sale 3:
 A sculpture casts a shadow that is 11.5 meters long. At the same time, a 3meter high fence post casts a shadow that is 2.3 meters long?
b. Write a proportion that describes this situation.
c. What is the height of the sculpture?
Tuesday 11/19 704 & 707
Investigation #12:
 Mr. Warnock drives 300 miles in 6 days, how many miles does he drive per day? How many miles will he drive in 7 days?
 Mr. Lee’s car burned 6 gallons of gas when he drove 120 miles. Ms. Mendoza drove her car 100 miles and used 4 gallons of gas. Which car gets more miles per gallon of gas? Calculate a unit rate for each situation.
 Mr. Warnock drove his car 78 miles and used 3 gallons of gas. What is the car's gas mileage in miles per gallon? How many miles can he travel on 4 gallons of gas?
Thursday 11/14  Investigations 15 & 16
Investigation #15:
 Mr. Iron travels 450 miles from Danville to Virginia. It takes him 8 hours to make the trip. What is the rate at which Mr. Iron traveled?
 Write a unit rate.
 Julia was painting notecards for art club. She was able to complete 372 note cards in 12 sessions. What was the average number of notecards she painted in each session? How many notecards can she paint in 15 sessions?