8th grade - hammocks middle school

8th GRADE

MATH PACKET

April 10-April 14

Pre AlgebraSecondary Education

MAFS.8.EE.1.1

Copyright © 2016 by School Board of Palm Beach County, Department of Secondary Education

No Calculatorfor this Standard

Name: _______________________________________________________ Date: ___/___/___

1. Which of the following is equivalent to91?

A. 23 C. 32

B. 2 3 D. 3 2

2. Which expression is equivalent to 442 33 )( ?

A. 310 C. 312

B. 332 D. 364

3. Which expression is equivalent to 324 )5(5 ?

A. 52 C. 55

B. 251

D. 551


MAFS.8.EE.1.1



4. From the list of numbers below, select and fill in each box to create a true equation. Eachnumber may only be used once.

5 5 = 5 4

5. Which of the following are equivalent to641

? Select all that apply.

A. 341

B. 34 C. 34

D. 341

E. 34 F. 34

0 1 2 3 41234


MAFS.8.EE.1.2


Calculator Neutralfor this Standard

Name: _______________________________________________________ Date: ___/___/___

1. What is the value of x when 00803 .x ?

2. A cube with a side length of x has a volume of 125 cubic units. What is the length of the side ofthe cube?

3. What is the value of y when 2502 .y ?

4. A square is cut in half at the diagonal creating 2 equal right triangles. Each right triangle has anarea of 12.5 square units. What is the side length of the square?

5. Frozen Treats makes flavored ice cubes to go into soft drinks in a variety of flavors. If each icecube is a perfect cube with a volume of 64 cubic centimeters, what is the side length of eachflavored ice cube?


MAFS.8.EE.1.3



Name: _______________________________________________________ Date: ___/___/___

1. In 2014, the population of West Palm Beach, Florida was 99,919. Write the 2014 population ofWest Palm Beach in scientific notation.

2. An average grain of rice weights about 25 mg or 0.025 grams. Which of the following shows theweight in grams in scientific notation?

A. 2.5 x 102

B. 2.5 x 10 2

C. 0.25 x 101

D. 0.25 x 10 1

3. Write <, =, or > to make the following statement true.

5.476 x 107 0.5476 x 108

4. An ant is 2.0 x 10 2 meters (m) long. If you put 10 million ants in a line, how long is the line?A. 200 mB. 2,000 mC. 20,000 mD. 200,000 m

5. The population of a remote village is about 3 x 102 and the population of the nearest large city isabout 6 x 105. Determine how many times larger the city population is in comparison to thevillage population.


MAFS.8.EE.1.4



Name: _______________________________________________________ Date: ___/___/___

1. Which of the following is equivalent to (4 x 10—7) + (5 x 10—7)?

A. 9 x 20—14 C. 9 x 10—7

B. 90—7 D. 9 x 20—7

2. Write the value of (2 x 104) + (9 x 104) – (3 x 103) in scientific notation?

3. Match each expression with its value expressed in scientific notation.

A. (2 x 103)(8 x 105)4 x 108

B. 3

5

102108

4 x 102

C. (2 x 102)(4 x 103)(1 x 101)1.6 x 109

D. 2

55

104)102)(108(

8 x 106


MAFS.8.EE.1.4



4. Which of the following shows the value of (4.3 x 10—7)(1.5 x 10—3) in scientific notation?

A. 6.45 x 10—10 C. 0.645 x 10—11

B. 64.5 x 10—9 D. 645 x 10—8

5. Write the value of the expression below in scientific notation.

7

15

1091027.9


MAFS.8.EE.2.5


Calculator Allowedfor this Standard

Name: _______________________________________________________ Date: ___/___/___

1. Joney Coney drew the graph below to show the amount she earned in candy bar sales. Whichunit rate best describes the data on Joney Coney’s graph?

A. $1 per candy bar

B. $1.25 per candy bar

C. $0.80 per candy bar

D. $5 per candy bar

2. Matt needs to swim 8 meters in 25 seconds to qualify as a state swimmer. Which unit ratedescribes the speed Matt needs to swim?

A. 25 meters per second C. 3.125 meters per second

B. 8 meters per second D. 0.32 meters per second


MAFS.8.EE.2.5



3. Using the graph and table below, identify the unit rate that describes each person’s speed.Determine which of the two hiked faster.

Bain’s HikingTime (h) 5 7 9 11Distance(mi)

6 8.4 10.8 13.2

Unit Rate: _______________ Unit Rate: _______________

Who hiked faster? _____________________________

4. Charlie said that Farrah’s faucet takes 2.5 minutes to fill a 2 liter bottle with water. Construct agraph to represent this situation?

Minutes

Liters

Farrah’s Faucet


MAFS.8.EE.2.5



5. What is the unit rate of the proportional relationship shown in the graph below?

Unit Rate

Containe

rs

Hours

Paxton’s Shipping Container Packing


MAFS.8.EE.3.7



Name: _______________________________________________________ Date: ___/___/___

1. Select whether each equation has no solution, one solution or infinitely many solutions.

One Solution No Solution Infinitely Many Solutions5x = 2 + 5x19x + 6 = 19x + 627x + 2 = 2x + 277x + 8 = 7x – 8

2. How many solutions does the equation below have?

33

134931 yyy

3. Mrs. Porte wrote the equation below on the board.

bxax 87

Enter values of a and b for which x = 9 is a solution of Mrs. Porte’s equation.

a = b =


MAFS.8.EE.3.7



4. Solve the equation below for x.

5(x – 9) = 6x + 2x – 6

5. Explain why the equation has no solution.

)6(52)4(

52 xx


MAFS.8.EE.3.8



Name: _______________________________________________________ Date: ___/___/___

1. Solve the system of equations below.6x + 5y = 556x + 5y = 60

2. Write the coordinates of the solution to the system of equations graphed below.

3. Solve the system of equations below.

2y = 3(x + 4)5x + 2y = – 4

5x + y = 104x – y = –1


MAFS.8.EE.3.8



4. Marion bought 14 packages of plastic frog and lizard fishing lures. She bought frog lures inpackages of 4 and lizard lures in packages of 6 for a total of 72 lures. How many of each lure didMarion buy?

A. 6 lizards and 4 frogs B. 4 lizards and 8 frogs

C. 48 lizards and 24 frogs D. 24 lizards and 48 frogs

5. Line A contains the points (– 6, – 3) and (– 2, – 1). Line B contains the points (8, 2) and (12, 4).Graph both lines on the grid below. At what point do the lines intersect?


MAFS.8.F.1.1



Name: _______________________________________________________ Date: ___/___/___

1. Jeremy used a function to create the table below. Select the correct rule for y in terms of x inJeremy’s table.

x y A. y = 6x + 11 7 B. y = 3x + 42 10 C. y = 3x3 13 D. y = x + 64 16

2. Determine whether the graph shown below is a function. Explain in detail why or why not.


MAFS.8.F.1.1



3. The graph of the function y = –2x – 7 is shown below. Create a table to show the relationship ofthe values of x to the values of y.

4. Write a rule for y in terms of x.

x y2 – 170 – 31 46 – 45

5. Determine whether the graph shown below is a function.


MAFS.8.F.1.2



Name: _______________________________________________________ Date: ___/___/___

1. Which function below has the greater rate of change?

A. 46xyB.

2. Write a function that has a greater rate of change than one function but a smaller rate of changethan the other function.

x y0 01 72 143 21

x y4 08 212 416 6

x

y

1 3 5 7357

1

3

5

1

3

5

7

1


MAFS.8.F.1.2



3. An Indy race car can travel a straight a way at 230 miles per hour. The graph below shows thespeed of an NRA Top Fuel dragster.

What is the difference in their speed in miles per hour?

A. 30B. 50C. 70D. 90

4. Mike and Tony are private baseball hitting instructors. Mike charges $12 for travel expensesand $35 per hour of instruction. Tony’s fee can be modeled by the equation C = 32h +20, whereh is the number of hours of hitting instruction. Both Mike and Tony will be giving four hours ofhitting instruction at different baseball camps. What is the difference in the total fee Mike andTony charge for 4 hours of instruction?

x

y

Time (in hours)

Distance

(inmiles)

0 0.1 0.3 0.5

150

30

60

90

120


MAFS.8.F.1.2



5. Two different companies charge a set fee plus an hourly rate to rent a dunk tank for localcarnivals. The table and graph below show the total cost of renting each company’s dunk tank,depending on the number of hours the tank is rented.

At how many hours would the two companies have the same total cost of renting their dunktank?

Time(Hours)

Total Cost(Dollars)

2 284 426 568 70

Big Top CarnivalRentals

3 Clowns Rentals

1 2 3 4 5 6 7 8

Time (in hours)

TotalCost(indo

llars)

102030

4050607080


MAFS.8.F.1.3



Name: _______________________________________________________ Date: ___/___/___

1. Select all of the equations below that are linear functions.

A. y = 3x + 6B. y – 2 = 6(x – 4)C. x + 6 = 7D. 3x + 8y = 0E. y = – 9

2. Johnny and Cage are working together to mold figurines for a craft fair. They already have 8figurines which were left from the last craft fair. Johnny and Cage can mold 3 figurines everyhour. Determine whether this situation is linear or nonlinear? Explain your reasoning


MAFS.8.F.1.3



3. Is the function in the graph below linear or non linear? Explain your reasoning.

4. Select all of the following that are non linear functions. (x 0)

A. 2)(3.12 xy B. 625.5 xy C. 250.9 yx

D. xy 7.6 E. 725.2 3xy F. 32.7 xy

5. A function contains the ordered pairs below. Which statement accurately explains whether ornot the function is linear?

x y 4 76 38 1

A. The function in not linear because the y coordinate is not a constant multiple of the xcoordinate

B. The function is not linear because the difference in the x coordinate is not consistent.C. The function is not linear because it does not have a constant rate of change.D. The function is linear because both the x and y coordinates are constant.

1st National Bank

Time (in days)

Mon

ey(in

dollars)

1 3 5 7 9

4

6

8

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Name: _______________________________________________________ Date: ___/___/___

1. The cost of parking and tickets to attend a Miami Dolphins football game are shown in the tablebelow.

Write an equation that represents this function.

2. The Yellow Cab Company charges a flat rate plus a cost for mileage. The table below shows themiles driven and the total charge for six customers on a given day.

Which function models the charges to the customers using the cab service?

A. mC 75.3B. 475.2 mCC. 75.24mCD. 56.1336.0 mC

Number ofTickets (t)

Total Cost(C)

2 $1704 $3206 $4708 $620

Miles (m) Total Cost (C)4 $157 $23.2512 $373 $12.256 $20.5010 $31.50

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3. The Knoll Hot Sauce Company in Texas produces bottled hot sauce at the rate shown in thetable below.

Use the responses below to complete the equation this table represents.

4. Mr. Harper is asking his 8th grade math students to write an equation for the information in thetable below. Sarah is having trouble completing the task. Explain why Sarah cannot write alinear equation.

Week 1 2 3 4Height of Plant 7 inches 14 inches 20 inches 25 inches

5. Home Warehouse Center rents trucks by the hour as shown in the table below. Write anequation to represent this function.

Time (hours) 1 2 3 4Bottles Filled 780 1560 2340 3120

TABASCO HOT SAUCE CO.

_________________ x

0 780 25 y 3120

PLANT GROWTH

Number ofHours

Cost(dollars)

3 89.25

6 118.50

14 196.50


MAFS.8.F.2.5


Calculator is Neutralfor this Standard

Name: _______________________________________________________ Date: ___/___/___

1. Nikki rode her bike to school. The function graphed below represents her ride where x is the time, inminutes, and y is the distance from her house, in miles. Match each section of the graph withstatements that could be used to describe what is happening in this situation. More than onestatement may apply to each section.

A B CHer speed was the fastest.

Her speed decreased at aconsistent rate.She stopped at anintersection.She is traveling towardschool at a constant speed.

2. Kate drove home after spending a holiday with family. Initially, she drove at a constant speed. Thenshe stops to shop at an outlet mall. Finally, she drives at a faster constant speed to finish her triphome. Which graph best represents this situation if x is the time in minutes, and y is Kate’s distancefrom home in miles?

A. B.

C. D.

�re AlgebraSecondary Education

MAFS.8.F.2.5



3. Bryan wants to increase the price of his best selling product. The function graphed below representshis sales where x is the price, in dollars, and y is the number of items sold, in thousands. Write astatement that describes Bryan’s graph.

4. Carey tracked the number of visitors to her Caribbean resort over a year. She noticed that the resort accommodates the most visitors from January through March. In April the number begins to decrease rapidly until it reaches its lowest in May. The number of visitors is constant from May to August, when it begins to increase steadily. The number of visitors in November reaches the same level it was in January and remains constant through the end of the year. Construct a graph that displays Carey’s data.


MAFS.8.F.2.5



5. Stark’s private jet taxis to the runway and takes off. It climbs steadily to 30,000 feet where it flies forabout an hour. The plane then climbs rapidly to 40,000 feet to avoid a storm. The plane descendsto 30,000 feet after passing the storm. Finally, the plane descends 15,000 feet and travels at thisnew altitude until it descends steadily and lands. Which graph best displays Stark’s flight?A. B.

C. D.

8th grade - hammocks middle school

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