GRADE 8 WINTER BREAK MATH PACKET - …math.dadeschools.net/documents/1516/winter-packets/ms/8th...

Student Name:___________________________ Math Teacher:_____________

Date:______________________ Period:_____

GRADE 8

WINTER BREAK

MATH PACKET

Department of Mathematics Office of Academics and Transformation

2015-2016

2015-2016

THE SCHOOL BOARD OF MIAMI-DADE COUNTY, FLORIDA

Ms. Perla Tabares Hantman, Chair

Dr. Dorothy Bendross-Mindingall, Vice Chair

Ms. Susie V. Castillo

Dr. Lawrence S. Feldman

Dr. Wilbert “Tee” Holloway

Dr. Martin Karp

Ms. Lubby Navarro

Ms. Raquel A. Regalado

Dr. Marta Pérez Wurtz

Mr. Logan Schroeder-Stephens Student Advisor

Mr. Alberto M. Carvalho Superintendent of Schools

Ms. Maria L. Izquierdo Chief Academic Officer

Office of Academics and Transformation

Dr. Maria P. de Armas Assistant Superintendent Division of Academics

Mr. Cristian Carranza Administrative Director Division of Academics

Department of Mathematics and Science

Ms. Michelle R. White Executive Director

Department of Mathematics and Science

1. What is the solution to the system of equations below?

a. (3, 1)

b. (0, 1)

c. (5, 4)

d. no solution

2. Which equation is equivalent to the equation below?

5(n + 6) = 2(n – 3) + 4

a. 5n + 6 = 2n + 1

b. 5n + 30 = 2n – 2

c. 5n + 6 = 2n – 2

d. 5n + 30 = 2n + 1

3. A taxicab service charges $3.75 plus $0.40 per mile. Molly takes a taxicab from the hotel to the airport. If the

total charge was $10.95, which equation could be used to determine the number of miles from the hotel to the

airport?

a. 3.75 + 0.4m = 10.95

b. 4.15m = 10.95

c. 3.75m + 0.4 = 10.95

d. 3.35m = 10.95

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Name: Class: Date:

8th Grade Student Winter Packet

4. What is the solution to the system of linear equations shown below?

a. (4, –3)

b. (–3, 4)

c. (3, –4)

d. (–4, 3)

5. Which of the following equations represents a horizontal line?

a. y = x

b. x = 5

c. y = –12

d. y = –x + 1

6. Which expression is equivalent to the expression below?

a • a • a • b • a • b • b • a • b • a

a. (ab)2

b. a–6b–4

c. a6b4

d. (ab)10

7. Which linear function has the steepest slope?

a.

b.

c. y = –6x + 1

d. y = 4x – 2


Name: Class: Date:


8. What is the approximate length of with endpoints N(7, 3) and P(–6, –2)? Round to the nearest tenth.

a. 10.2 units

b. 13.9 units

c. 5.7 units

d. 6.5 units

9. What is the distance between points A and B shown on the coordinate plane?

a. 10 units

b. 14 units

c. 8 units

d. 12 units

10. Latoya surveyed her friends to see how many pets they owned. Her 6 friends have a total of 11 cats and birds.

If there are a total of 36 legs, how many cats and birds are there? Assume each cat has 4 legs and each bird

has 2 legs.

a. 6 cats and 4 birds b. 7 cats and 4 birds

c. 7 cats and 5 birds d. 6 cats and 5 birds


Name: Class: Date:


11. Kaley and Parker climbed down a mountain. Kaley descended the mountain at a rate of 8 feet per hour. The

graph shows the rate at which Parker descended the mountain. Compare the functions’ rates of change.

a. Parker and Kaley descended the mountain at the same rate.

b. Kaley descended the mountain 4 times slower than Parker.

c. Kaley descended the mountain 4 feet per hour faster than Parker.

d. Parker descended the mountain 4 feet per hour faster than Kaley.

12. Which set of numbers could be the sides of a right triangle?

a. 8, 15, 17

b. 6, 8, 12

c. 9, 11, 21

d. 4, 12, 16


Name: Class: Date:


Graph each function. 13.

a. b.

c. d.

14. Solve the equation below for t.

3t – 5 = –21 + t

a. –8

b. –13

c. –52

d. –32


Name: Class: Date:


15. Which point on the number line shows ?

a. point F

b. point G

c. point I

d. point H

16. Which of the following symbols results in a true number sentence when placed in the blank?

_____

a. =

b. >

c. <

d. ×

17. The distance from the Sun to Earth is about 1.5 × 1011 meters. Suppose light travels at a speed of 3 × 108

meters per second. About how long does it take light from the Sun to reach Earth?

a. 1.503 × 1011 seconds

b. 5 × 103 seconds

c. 4.5 × 1019 seconds

d. 5 × 102 seconds

18. Which value is equivalent to 4–3?

a.

b. –12

c.

d. –1


Name: Class: Date:


For business Sara flies all over the United States. The graph shows how many miles she flies.

Business Travel

Months (m)

19. Write an equation to find how many miles Sara will fly t in any number of months m.

a.

b.

c.

d.

20. A moving company charges $40 plus $0.25 per mile to rent a van. Another company charges $25 plus $0.35 per

mile to rent the same van. For what number of miles will the rental cost be the same for both companies?

a. 180 miles

b. 260 miles

c. 150 miles

d. 650 miles


Name: Class: Date:


21. What is the domain of the function shown in the table?

a. all real numbers

b. {–3, –1, 0, 5, 7}

c. {–4, –2, 0, 2, 4}

d. all even integers

22. The slope of a line is and the y-intercept is (0, 6). What is the equation of the line in slope-intercept form?

a.

b.

c. x + 5y = 30

d. x – 5y = 30

23. The legs of a right triangle measure 7 units and 24 units. What is the measure of the hypotenuse? Round to the

nearest tenth if necessary.

a. 25 units

b. 17 units

c. 23.0 units

d. 20.4 units

24. Soren has 6 dimes for every 7 pennies in a jar of coins. How many pennies does he have if he has 30 dimes?

a. 35 b. 42

c. 210 d. 180


Name: Class: Date:


25. Which relation is not a function?

a.

b.

c.

d.

26. Which of the expressions below is not equivalent to the other three?

a. 4–3

b. 0.015625

c.

d. 15.625%

27. Salvador is assembling a model train engine. The actual train engine is 15 feet long and 9 feet wide. If the scale

he uses is 1 inch = 5 ft, what are the dimensions of his model engine? Write your answer to the nearest tenth.

a. 1.8 ft. by 3.0 ft. b. 2.0 in. by 3.0 in.

c. 1.0 in. by 3.8 in. d. 1.8 in. by 3.0 in.

Solve each problem by writing and solving an equation. 28. Frieda and three of her friends decide to go canoeing. They each rent a life preserver for $12.75. They split the

cost of the canoe. If each person pays $23.75, how much did the canoe cost?

a. b.

c. d.

29. Jamal is stacking boxes of books for the library book sale. Each box contains 24 books. If the stack of boxes is

in the shape of a square-based pyramid, how many books total will there be in a stack of 4 layers?

a. 30

b. 336

c. 28

d. 720


Name: Class: Date:


30. What is the solution to the equation below?

a.

b.

c.

d.

31. Which term describes the function shown below?

a. constant

b. nonlinear

c. linear

d. quadratic


Name: Class: Date:


Find the constant rate of change for each graph. 32.

a. $2.00 per candy

b. $0.25 per candy

c. $1.00 per candy

d. $0.50 per candy

33. What are the slope and y-intercept of the linear equation below?

y = –5x + 2

a. slope: 2, yintercept: (0, –5)

b. slope: –5, y-intercept: (2, 0)

c. slope: –5, y-intercept: (0, 2)

d. slope: 2, yintercept: (–5, 0)

34. Which systems of linear equations has a solution of (–2, 1)?

a.

b.

c.

d.


Name: Class: Date:


35. Between which two integers does lie on the number line?

a. between 8 and 9

b. between 9 and 10

c. between 7 and 8

d. between 6 and 7


Name: Class: Date:


Non-Discrimination Policy The School Board of Miami-Dade County, Florida adheres to a policy of nondiscrimination in employment and educational programs/activities and strives affirmatively to provide equal opportunity for all as required by: Title VI of the Civil Rights Act of 1964 - prohibits discrimination on the basis of race, color, religion, or national origin. Title VII of the Civil Rights Act of 1964 as amended - prohibits discrimination in employment on the basis of race, color, religion, gender, or national origin. Title IX of the Education Amendments of 1972 - prohibits discrimination on the basis of gender. Age Discrimination in Employment Act of 1967 (ADEA) as amended - prohibits discrimination on the basis of age with respect to individuals who are at least 40. The Equal Pay Act of 1963 as amended - prohibits gender discrimination in payment of wages to women and men performing substantially equal work in the same establishment. Section 504 of the Rehabilitation Act of 1973 - prohibits discrimination against the disabled. Americans with Disabilities Act of 1990 (ADA) - prohibits discrimination against individuals with disabilities in employment, public service, public accommodations and telecommunications. The Family and Medical Leave Act of 1993 (FMLA) - requires covered employers to provide up to 12 weeks of unpaid, job-protected leave to "eligible" employees for certain family and medical reasons. The Pregnancy Discrimination Act of 1978 - prohibits discrimination in employment on the basis of pregnancy, childbirth, or related medical conditions. Florida Educational Equity Act (FEEA) - prohibits discrimination on the basis of race, gender, national origin, marital status, or handicap against a student or employee. Florida Civil Rights Act of 1992 - secures for all individuals within the state freedom from discrimination because of race, color, religion, sex, national origin, age, handicap, or marital status. Title II of the Genetic Information Nondiscrimination Act of 2008 (GINA) - Prohibits discrimination against employees or applicants because of genetic information. Veterans are provided re-employment rights in accordance with P.L. 93-508 (Federal Law) and Section 295.07 (Florida Statutes), which stipulate categorical preferences for employment. In Addition: School Board Policies 1362, 3362, 4362, and 5517 - Prohibit harassment and/or discrimination against students, employees, or applicants on the basis of sex, race, color, ethnic or national origin, religion, marital status, disability, genetic information, age, political beliefs, sexual orientation, gender, gender identification, social and family background, linguistic preference, pregnancy, and any other legally prohibited basis. Retaliation for engaging in a protected activity is also prohibited.

Revised: (05-12)

GRADE 8 WINTER BREAK MATH PACKET - …math.dadeschools.net/documents/1516/winter-packets/ms/8th...

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