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Middle School 8907th Grade Mathematics

Ratios and Proportional Relationships HW

Name ______________________________________________________________ Date __________________

Ratios and Proportional Relationships Homework #1Unit: Ratios and Proportional Relationships Date Assigned: January 9th 2019

Assignments Self-Assessment Points Earned

Unit Rates o Complete the problems in the attached assignment. o Show all of your work.o Answer in complete sentenceso THIS IS DUE ON WEDNESDAY, JANUARY 16th

I did excellent! I did good. I did okay I am having trouble

understanding.

Mathletics Assignments o Complete Rate Word Problems Assignmento You can complete the assignment as many times as you want. Your

goal is to get above 80% correct on both assignments to receive full credit.

o THIS IS DUE ON WEDNESDAY, JANUARY 16th


understanding.

Total


Ratios and Proportional Relationships HWAssignment 1Answer each question. SHOW ALL OF YOUR WORK and answer in COMPLETE SENTENCES.

1. It takes 8 minutes for water from a tap to fill up a 30-gallon tank. What is the rate of water flowing from the tap per minute?

2. A photocopy machine can print 735 copies in 7 minutes. What is the rate at which the machine prints the copies per minute?

3. It took 9 gallons of gas for a car to travel 216 miles. What is the rate of the car in miles per gallon of gas?

4. A car traveled a distance of 192 miles from New York to a small town in Pennsylvania in 3 hours. Find the speed of the car.

5. A waste company can process 5

10 kilograms of garbage every 212 hours. What is their speed in terms of

kilograms per hour?



6. A bear cub ambles 56 miles in

512 hours. What is its speed in terms of miles per hour?

7. Sunshine House Cleaners mops 38 square meters every

540 minutes. What is their speed in terms of

square meters per hour?

8. A person runs 48 kilometers in

124 hours. What is their speed in terms of meters per hour?

9. In 23 of an hour, you can paint

14 of a wall. How much can you paint in 1 hour if you continue painting

at the same rate?

10. It takes you 38 of an hour to walk

910 of a mile. How far can you walk in 1 hour if you continue

walking at the same rate?



Name ______________________________________________________________ Date __________________



Proportional or Not Proportional? o Complete the problems in the attached assignment. o Show all of your work.o Answer in complete sentenceso THIS IS DUE ON WEDNESDAY, JANUARY 23rd


understanding.

Mathletics Assignments o Complete Proportion Word Problems Assignmento You can complete the assignment as many times as you want. Your

goal is to get above 80% correct on both assignments to receive full credit.

o THIS IS DUE ON WEDNESDAY, JANUARY 23rd


understanding.

Total



Assignment 1Answer each question. SHOW ALL OF YOUR WORK and answer in COMPLETE SENTENCES.

In each table, determine if 𝑦 is proportional to 𝑥. Explain why or why not.

4. Kayla made observations about the selling price of a new brand of coffee that sold in three different-sized bags. She recorded those observations in the following table:

a. Is the price proportional to the amount of coffee? Why or why not?

b. Use the relationship to predict the cost of a 20 oz. bag of coffee.

5. You and your friends go to the movies. The cost of admission is $9.50 per person. Create a table showing the relationship between the number of people going to the movies and the total cost of admission. Explain why the cost of admission is proportional to the amount of people.



6. For every 5 pages Gil can read, his daughter can read 3 pages. Let 𝑔 represent the number of pages Gil reads, and let 𝑑 represent the number of pages his daughter reads. Create a table showing the relationship between the number of pages Gil reads and the number of pages his daughter reads. Is the number of pages Gil’s daughter reads proportional to the number of pages he reads? Explain why or why not.

7. The table shows the relationship between the number of parents in a household and the number of children in the same household. Is the number of children proportional to the number of parents in the household? Explain why or why not.

8. The table below shows the relationship between the number of cars sold and the amount of money earned by the car salesperson. Is the amount of money earned, in dollars, proportional to the number of cars sold? Explain why or why not.



Name ______________________________________________________________ Date __________________



Graphs of Proportional and Non-Proportional Relationships o Complete the problems in the attached assignment. o Show all of your work.o Answer in complete sentenceso THIS IS DUE ON WEDNESDAY, JANUARY 30th


understanding.

Finding the Constant of Proportionality and Writing Equations o Complete the problems in the attached assignment. o Show all of your work.o Answer in complete sentenceso THIS IS DUE ON WEDNESDAY, JANUARY 30th


understanding.

Analyzing Relationships o Complete the problems in the attached assignment. o Show all of your work.o Answer in complete sentenceso THIS IS DUE ON WEDNESDAY, JANUARY 30th


understanding.

Total



Assignment 1

1. Determine whether or not the following graphs represent two quantities that are proportional to each other. Explain your reasoning next to the graph.



Assignment 2For each of the following problems, define the constant of proportionality to answer the follow-up question.

1. The dry cleaning fee for 3 pairs of pants is $18. a. What is the constant of proportionality?

b. How much will the dry cleaner charge for 11 pairs of pants?

2. For every $5 that Micah saves, his parents give him $10. a. What is the constant of proportionality?

b. If Micah saves $150, how much money will his parents give him?



3. Each school year, the seventh graders who study Life Science participate in a special field trip to the city zoo. In 2010, the school paid $1,260 for 84 students to enter the zoo. In 2011, the school paid $1,050 for 70 students to enter the zoo. In 2012, the school paid $1,395 for 93 students to enter the zoo.

a. Is the price the school pays each year in entrance fees proportional to the number of students entering the zoo? Explain why or why not.

b. What would the school pay if 120 students entered the zoo?

c. How many students would enter the zoo if the school paid $1,425?



Assignment 31. It costs $15 to send 3 packages through a certain shipping company. Consider the number of packages

per dollar. a. Find the constant of proportionality for this situation, then write an equation to represent the

relationship.

2. On average, Susan downloads 60 songs per month. An online music vendor sells package prices for songs that can be downloaded onto personal digital devices. The graph below shows the package prices for the most popular promotions. Susan wants to know if she should buy her music from this company or pay a flat fee of $58.00 per month offered by another company. Which is the better buy?

a. Find the constant of proportionality for this situation, then write an equation to represent the relationship.

b. Use your equation to find the answer to Susan’s question above. Justify your answer with mathematical evidence and a written explanation.


Ratios and Proportional Relationships HW3. Allison’s middle school team has designed t-shirts containing their team name and color. Allison and

her friend Nicole have volunteered to call local stores to get an estimate on the total cost of purchasing t-shirts. Print-o-Rama charges a set-up fee, as well as a fixed amount for each shirt ordered. The total cost is shown below for the given number of shirts. Value T’s and More charges $8 per shirt.

a. Does either pricing model represent a proportional relationship between the quantity of t-shirts and the total cost? Explain.


Ratios and Proportional Relationships HWb. Write an equation relating cost and shirts for Value T’s and More AND Print-O-Rama.

c. What is the constant of proportionality of Value T’s and More? What does it represent?

d. How much is Print-o-Rama’s set-up fee?

e. If you need to purchase 90 shirts, write a proposal to your teacher indicating which company the team should use. Be sure to support your choice. Determine the number of shirts that you need for your team.



Name ______________________________________________________________ Date __________________

Ratios and Proportional Relationships Homework #4Unit: Ratios and Proportional Relationships Date Assigned: February 4th 2019


Fraction Operations o Complete the problems in the attached assignment. o NO CALCULATORS, MUST SHOW WORK.o Answer in complete sentenceso THIS IS DUE ON THURSDAY, FEBRUARY 7TH


understanding.

It’s A Bake Off o Complete the problems in the attached assignment. o Show all of your work.o Answer in complete sentenceso THIS IS DUE ON THURSDAY, FEBRUARY 7TH


understanding.

Total


Ratios and Proportional Relationships HWFraction OperationsEvaluate each numeric expression. Do Not Use A Calculator. Show All Work.

1.54−3

4 11. (−1 78 )+(−3 1

2 ) 21. −15

÷(−53 )

2.25+ 4

5 12. (1 25 )−(−3 3

4 ) 22. −5 ÷( 54 )

3.32−1

2 13. (−54 ) ∙( 1

3 ) 23. 95

÷ 2

4. 6−16 14. ( 4

9 ) ∙( 74 ) 24. −5 ÷( 5

4 )

5.−45

−78 15. −2 ∙( 3

7 ) 25. −3 59

÷ (−3 )



6.−13

−38 16. (−2 1

5 ) ∙(−1 34 ) 26. (3 7

10 )÷(2 14 )

7. 2−138 17. (−2 3

8 ) ∙(2 12 ) 27.

57−1

6

8.13−(−5

3 ) 18. −6+ 16 28. −5 1

5÷( 5

4 )

9. −1+(−2 25 ) 19. 4 1

3+(−5

3 ) 29. 245

÷ 34

10. 2 13+(−1 1

4 ) 20. 4 13+(−3 1

3 ) 30. 13

÷ 45


Ratios and Proportional Relationships HWIt’s A Bake OffA cupcake recipe with the following ingredients yields 24 cupcakes:

4 12 cups flour

34 cup sugar

1 tablespoon baking soda

2 eggs

a. Owen only needs 12 cupcakes. How much of each ingredient will he need?

b. To cut down on sugar, Owen’s mother prefers that he only use recipes in which the volume of sugar is not more than 25 percent of the dry ingredients (not including baking soda, since the amount is so small). Would Owen’s mother find this recipe acceptable?

c. Use the table to determine several different equivalent ratios of flour to sugar:

Flour 4 12

Sugar34

d. Plot the points in part (c) on the coordinate plane on the next page.e. What is the ratio of flour to sugar in lowest terms? Call this value k.


Ratios and Proportional Relationships HWf. Plot the point (1, k) using the value for k you determined

in part (e). What do you notice about this point in relation to the other points from part (c)?

g. Write an equation for the proportional relationship between flour and sugar in this recipe. Use F to represent the number of cups of flour, and S to represent the number of cups of sugar.

h. Eileen has a different cupcake recipe that calls for 12 cup sugar and 2

12 cups of flour. She says that this

recipe has a smaller ratio of sugar in relation to flour, and it is less sweet. Is Eileen correct?



Name ______________________________________________________________ Date __________________

Ratios and Proportional Relationships Homework #5Unit: Ratios and Proportional Relationships Date Assigned: February 7th 2019


Assignment 1 o Complete the problems in the attached assignment. o Show all of your worko Answer in complete sentenceso THIS IS DUE ON Wednesday, FEBRUARY 13TH


understanding.

Assignment 2 o Complete the problems in the attached assignment. o Show all of your work.o Answer in complete sentenceso THIS IS DUE ON Wednesday, FEBRUARY 13TH


understanding.

Assignment 3 o MEMORIZE THE EQUIVALENCES.o There will be a pop-quiz sometime next week on this.


understanding.

Total



Assignment 11. You are getting ready for a family vacation. You decide to download as many movies as possible before

leaving for the road trip. If each movie takes 125 hours to download, and you downloaded for 5

14

hours, how many movies did you download?

2. During their last workout, Izzy ran 214 miles in 15 minutes, and her friend Julia ran 3

34 miles in 25

minutes. Each girl thought she was the faster runner. Based on their last run, which girl is correct? Use any approach to find the solution.

3. A turtle walks 78 of a mile in 50 minutes. What is the unit rate when the turtle’s speed is expressed in

miles per hour?



4. Mr. Gengel wants to make a shelf with boards that are 113 feet long. If he has an 18-foot board, how

many pieces can he cut from the big board?

5. For Anthony’s birthday, his mother is making cupcakes for his 12 friends at his daycare. The recipe calls

for 313 cups of flour. This recipe makes 2

12 dozen cupcakes. Anthony’s mother has only 1 cup of flour.

Is there enough flour for each of his friends to get a cupcake? Explain and show your work.



Assignment 2Solve each problem. 1) What percent of 126 is 22? 2) 81 is 56% of what?

3) 25.7 is what percent of 141? 4) 17% of what is 156?

5) 46 is what percent of 107? 6) 79.9 is 99% of what?

7) 62% of what is 89.3? 8) What percent of 137.4 is 96?

9) 30% of 117 is what? 10) 11 is what percent of 97?

11) 120% of 118 is what? 12) 25 is what percent of 37?



Assignment 3

Name ______________________________________________________________ Date __________________

Ratios and Proportional Relationships Homework #6 [Break Homework]Unit: Ratios and Proportional Relationships Date Assigned: February 15th 2019


Assignment 1 o Complete the problems in the attached assignment. o Show all of your work.o Answer in complete sentenceso THIS IS DUE ON Monday, February 25, 2019


understanding.

Test Corrections o Complete the test corrections for the test on proportional reasoningo THIS IS DUE ON Monday, February 25, 2019


understanding.

Fraction/Decimal/Percent o Study the sheet on fraction, decimal, and percent equivalences. o YOU WILL HAVE A POP QUIZ SOMETIME DURING THE

WEEK WE GET BACK.o THIS IS DUE ON Monday, February 25, 2019


understanding.

Homework Make-Ups o Make-Up any homework assignments that you did not complete

earlier.o THIS IS DUE ON Friday, March 1, 2019


understanding.

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