Entering 8th Grade Math Summer Packet

[Pages:7]Mater Academy Cutler Bay Summer Math Assignment for Students

ENTERING GRADE 8 2019 ? 2020

This assignment will be due for EXTRA CREDIT the first week of school. These are the pre-requisite skills students are expected to know coming into the 8th grade. Make sure that you show all your work for each question. You should complete the entire assignment without the use of a calculator. No credit will be given to

any question(s) you answer without showing your work. Please use pencil only and remember: NO WORK = NO EXTRA CREDIT

Name: ______________________________________________

Topics: 1. Ratios and Rates 2. Direct Variation and Constant of Proportionality 3. Percent Problems 4. Operations with Rational Numbers 5. Distributive Property 6. Solving Equations 7. Triangles and Circles

Suggested websites to review these topics:

Summer Mathematics Project for Entering Grade 8 Show ALL your work. 1- Ratios and Rates

1) Mr. Jackson took the 8th grade class on field trip. While taking attendance, he noticed there were 51 boy and 21 girls on the trip. Write the ratio of boys to girls, as a fraction in simplest terms.

2) An adult female elephant weighs about 8000 pounds. A newborn baby elephant weighs about 200 pounds. Write the ratio of the baby elephant's weight to the adult female elephant's weight as a fraction, in simplest terms, and as a decimal.

2- Direct Variation and Constant of Proportionality

3) The ratio between the number of children (c) on fieldtrip and the number of

!"

teachers (t) on the trip is # . There are 70 children on the field trip. How many teachers are on the trip? Hint: It may be useful to write an equation using the constant of proportionality.

4) Determine the unknown value in the

table using the constant of proportionality.

Time

Number of Pencils

(seconds)

Produced

12

42

18

63

40

3- Percent Problems

#

5) What is $ of 200?

6) Eighty-four is 70% of what number?

4- Operations with Rational Numbers

7) -37 + (-64) =

8) 117 + (-99) =

9) _____ + 41 = -18

10) -56 + _____ = -84

11) -2 ' ? (-4 ,)

(

#

12) 6 , ? (- ,)

#

#

5- Distributive Property Use the distributive property to rewrite each expression in its equivalent form.

13) 4( + 3)

14)-7(4 - 7)

5'67,8

15)

'

9:5#

16) #

6- Solving Equations 17) 3 - 17 = 4

18) 94 = ? - 18

!"

19) 20 - 41 = 59

20) 138 = 7 + 5

21) 6( + 1) + 5 = 35

22)

14

=

22

-

, #

23) A restaurant charges $100 to rent its banquet room for an event. It also charges $15 to serve dinner to each guest. Write an equation for the total cost (t) of renting the banquet room in terms of the number of guests (g). How many guests attend if the total cost of an event is $2200?

6- Triangles and Circles

24) Define each term: a) Radius of a circle-

b) Diameter of a circle-

c) Triangle inequality theorem-

Determine whether it is possible to form a trianlge using segemnts with the given measurement. Explain your reasoning. Hint: Use the triangle inequality theorem.

25) 8ft, 9ft, 11ft

26) 7.4 cm, 8.1 cm, 9.8 cm

Find each indicated measure. 27) Find the circumference of a circle with a radius of 4 cm. ( = 3.14)

28) Find the circumference of a circle with a diameter of 2.5 inches. ( = 3.14)

29) Find the area of a circle with a diameter of 10 ft. ( = 3.14)

30) Find the area of a circle with a radius of 3 yd. ( = 3.14)

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