atlantis charter school...atlantis charter school summer math review 2016 for students entering...

Atlantis Charter School Summer Math Review 2016

For students entering Grade 8

Dear Parents,

It has been a successful year at Atlantis Charter School with our math programs and we are excited

about the gains your child has made. Research shows students easily lose a couple of months' worth of

math skills during the long summer break. To help students keep on top of what they have learned

throughout the course of the year, a Summer Math Review packet is attached. While there is no one best way to complete this packet, we have some guidelines. We suggest that you

pace yourself, fit the work into your summer schedule, and complete the packet over several weeks.

Your time and effort will be less helpful (really!) if you finish in a day or two. Each week is broken

down into 4-5 problems per day Monday-Thursday to help your child pace themselves.

You will see enclosed is six weeks’ worth of Math practice, a separate work page for each week and

reference sheets. Students also have their Math notebooks from this year and can use online resources

such as Khan Academy to review any of the concepts. Students should show all their work on the

separate work pages and write ONLY answers on question sheets.

A completed packet is expected from each student on the first day back to school and will build points

toward your first quarter math report card grade. Students, who, for any reason, do NOT complete the

math requirement during the summer, will be required to complete it by the end

of September. However, those assignments completed during this time will only be graded at 80% of

the assignment value. Therefore, a student who receives a grade of a 100 on a summer

math assignment completed during September will only be credited with an 80 in the grade book and

a student who receives a 75 will only get a grade of 60. Any student who fails to complete the entire

summer math assignment by the first week of the 2015-2016 school year will receive a grade of zero

(0).

Sincerely,

Ms. Phan & Mrs. Lee

ACS Grade 7 Math Teachers

ANSWERS ONLY

Name: Summer Math Questions – Week 1 Monday Tuesday Wednesday Thursday

Use Order of Operations to solve. PEMDAS

8 + 7(42 –3)

Use Order of Operations to solve.

23 – (30 ÷ 5) + 9


(5+22) x (35–27) +62


72 + 3[81 – (4x6)]

Plot the following points and find the area of the figure.

(4,3); (--2,3); (-2,-1); (4,-1)

Plot the following points to create a rectangle. Find the

missing vertex.

(3,6); (-1,6); (-1,-6); ?

Plot the following points and find the area of the figure.

(3,5); (-1,5); (-1,-3); (3,-3)

Plot the following points to create a rectangle. Find the

missing vertex.

(6,1); (-4,1); (-4,-3); ?

What is the difference between the high and low temp in the thermometer?

Bob is training for a race. Bob ran 14.6 miles away from his

home. Then, Bob ran 9.8 miles towards his home. Finally, Bob ran 5.3 miles

away from his home. How far is Bob from his home?

Use the number line below to find the solution to

22

1

Jon borrows $6.50 from his friends to pay for snacks,

and $11.75 from his sister to go to the movies. How much

money does he need to repay?

Simplify

−2

5+

4

3=

Simplify (6.89 + 14.52) + (–14.52)=

Simplify:

4 (1

2+

5

4) + −5 =

Simplify:

1.7 + (–5) + (–3.27) =

My Work Monday

Tuesday

Wednesday

Thursday

ANSWERS ONLY

Name: Summer Math Homework – Week 2 Monday Tuesday Wednesday Thursday Use Order of

Operations to solve.

42 – (28 ÷ 7) + 111

A boutique sold $127.50 worth of

purses. How many purses did they sell?

If point A is located at (-7, -3), and there are 12

points between A and B, what could be the

possible coordinates for point B?


42 + 5[61 – (5x6)]

Jon and Jim painted a

fence. Jon painted 1

4 of

the fence and Jim

painted 5

12 of the fence.

How much of the fence did they paint total?

Simplify

19 – 1.67 + (–2.4)

Use the diagram to find the solution to 4 + (–7)

Use the diagram below to find the solution to

32

2 .

Multiply:

(−4

9) (−

5

8)

Divide: −20.48

−4

A mermaid is swimming at sea level when a human

comes by. She dives underwater at a rate of 8 meters per second. She continues to descend for

20 seconds. What depth is she now?

Jim is running on a trail

that is 5

4 of a mile long. So

far he has run 2

3 of the

trail. How many miles has he run so far?

A recipe for cake needs ¾ of a cup of

milk. You are making ½ of the recipe. How

much milk do you need?

In May, Jim’s lunch account has a balance of

$58.19. If lunch costs $2.74 per day, how many days will Jim be able to

buy lunch before his account runs out of

money?

Simplify:

(23

5) ÷ (−3

3

4)

Simplify: 1

4(−12 +

4

3)

Solve the equation:

78 = 18 − 5𝑦 Janet drove 300 miles in 4.5 hours. Write an

equation to find the rate at which she was

traveling.

Solve the equation: 𝑥

6+ 12 = (−12)

Solve the equation:

4(𝑥 − 2) = 12

My Work

Monday

Tuesday

Wednesday

Thursday

ANSWERS ONLY

Name: Summer Math Homework – Week 3

Monday Tuesday Wednesday Thursday A submarine dove 35

feet per hour for 7 hours. How deep is the submarine if it originally started at 107 ft. below

sea level?

Jon has to pay $7.50 admission for the skating rink and $1.50 per hour

to rent rollerblades. Write an equation for the cost (y) based on the number

of hours (x).

Evaluate the expression.

(1

3) (9 ) × ( -8 - 3 )

Solve 36 = ____

54 = ____

107 = ____

Use the number line below to solve

5 + (– 7.5)

What is the difference in the low and high

temp?

Jon’s weight loss for each week of the month is 4 lbs., 3.5 lbs. and 2 lbs. He gained 4.5 lbs. the last week. If Jon

originally weighted 153 lbs., how much does he

weigh now?

There are two couches against a wall. If one takes up 4

9 of the wall

and the other takes up 15

of the wall, how much of the wall is covered by

couches?

Over the course of 4 days the price of stock at

ACME corporation fell $28. What was the

average change in stock price per day?

The high temp today was 62°. When nighttime

comes, the temp will drop 40°. By 4am the temp will

drop an additional 40°. What is the temp at 4am?

Multiply the following

(-7)(32)

What is the distance from point A to point D

on the number line?

Solve the equation:

15 = 2𝑦 − 5 Simplifying the following

expression:

-7(3e – 2f + 4) + 6e -2

Solve the equation: 𝑥

6− 5 = (−13)

Jeb has to pay a plumber $65 to come to his house

and $40 per hour after that. Write an equation

for the cost (y) based on the number of hours (x).

To join a local square dancing group, Jan has

to pay a $100 sign-up fee plus $25 per month.

Write an equation for the cost (y) based on the number of months (x).

Solve the equation: x

2− 8 = 19

Jim pays $75 per month for a cell phone plan plus $0.30 per minute beyond

the first 1000 minutes. Write an equation for the

cost (y) based on the number of minutes (x)

after the first 1000.

Solve the equation:

32 = 2m − 6

My Work Monday

Tuesday

Wednesday

Thursday

ANSWERS ONLY

Name: Summer Math Homework – Week 4 Monday Tuesday Wednesday Thursday

Write an inequality that represents the graph

below:

Graph the inequality on a number line:

−2 > 𝑚


below:

Solve and graph the inequality on a number line:

−2.25𝑤 ≥ 13.5

Johnny must learn more than 10 new plays before

the big game. He has already learned 4. Write an inequality that represents how many more plays he

needs to learn to reach his goal?

Which is NOT a solution of the

inequality

5 − 2𝑥 ≥ −3 ?

A) 0 B) 2 C) 4 D) 5

Write an inequality that represents ten less than four times a number is

more than 1000.

A business has a goal of selling 500 bags of chips. With 3 days left they have 322 to go. At least how many do they need to average per day to meet their

goal?

At a pie eating contest, Jonny ate 8 pies in 5

minutes. How much time did he spend on each pie?

Janet completed this entire column of math

homework in 10 minutes. How many second per

question did Janet spend?

Steve increases his math average by 9 points over a period of 15 weeks. How many points per week did

he average?

Burger King offers a deal of 10 chicken nuggets for $1.49.

How much is this per nugget?

Which pair of ratios does not form a true proportion?

A) 6:16 and 21:56 B) 2 to10 and 15 to 75

C)

9

11=

27

15 D) y = 5x

Divide: −56.72

−8

Tim walked 16 laps in 40 minutes while Jim walked 30 laps in an hour and 15

minutes. Who is the faster walker?

Jen has read 4

5 of

book. The next day

she read 2

3 of what she

had left. What fraction of the book is left to

read?

The scale of a map is 1 1

4

inches = 100 miles. On the

map, two rivers are 4 1

8

inches apart. What is the distance between the two

rivers?

A rectangle has an area of 20 square feet. A

similar rectangle has an area of 180 square feet. What is ratio of the areas

of these similar rectangles?

Two fields at a state park are 1,000 meters from

each other. On a map, the two fields are 8 centimeters

apart. What scale is the map using?

Eric made a drawing of his rectangular bedroom with the

scale 1 inch = 3 feet. The drawing was 5

inches long by 4 inches wide. What

was the actual area of Eric’s room?

My Work Monday

Tuesday

Wednesday

Thursday

ANSWERS ONLY


Sixteen students went on a week-long hiking trip. They brought with them 320 cookies. What is the

ratio of cookies to students?

Jon makes a map of his neighborhood for a

presentation. The scale of his map is 1 inch:125

feet. How many feet do 4 inches represent on the

map?

From the problem to the left Jon lives 250 feet away from Max. How many inches separate Jon’s home from Max’s

on the map?

From the problem to the left, Jon realizes that his map is far too small. He decides to make his map 5 times as large. What would be the new scale

to the larger map?

Solve the proportional equation below:

3

𝑚=

6

7


𝑛 − 8

3=

7

10


4

𝑥=

7

𝑥 − 5


4

𝑥 + 9=

9

𝑥 + 5

Sally draws a triangle with one side 6 inches

long and another side 8 inches long. Which is

NOT a possible length for the third side?

A) 4 in B) 10 in C) 12 in D) 14 in

Explain why a right triangle can’t have an

obtuse angle in it.

In right triangle ∆𝐴𝐵𝐶,m∠A =

57°. Find m∠B.

One angle in an isosceles triangle is 25o.

What are the other possible angle

measurements?

If 𝑚∠𝐴 + 𝑚∠𝐵 = 180, then 𝑚∠𝐴 and 𝑚∠𝐵 are

classified as what kind of angles?

Which ∠′𝑠 are supplementary?

Which ∠′𝑠 are vertical?

Classify the angles below:

Name the right angle:

Name the complementary angles in the problem to the

left.

Name the vertical angles in the problem

to the far left.

Name the supplementary angles in the problem to the

far left.

My Work Monday

Tuesday

Wednesday

Thursday

ANSWERS ONLY


Solve:

2𝑥 + 8 − 22𝑥 = −2 Solve:

𝑘

4− 5𝑘 + 1 = 1

Solve:

1 + 8𝑛 = 13 + 6𝑛

Solve: 20 − 6𝑛 = −2(𝑛 + 6)

Graph the inequality on a number line:

𝑥 ≤ 11


below:

Solve and graph the inequality on a number

line:

−7 > 𝑔 − 21


below:

How much is the cost per ticket?

A gallon of apple juice is $7. A pack of eight 4.23

oz box apple juice is $2.39. Which is a better

deal?

Jon drove 432 miles on 20 gallons of gas.

How many miles did he get per gallon?

Which has the best unit rate?

Based in the graph below: The y-value goes up by _____ every time the x-value goes up by _____?

Based on the graph below:

How many cups of peach are there per 1

cup of grape?

Jon walked 8 miles in 3 hours. Jim walked 14 miles in 5 hours. Are

these rates in proportion? If no, who

walked faster?

Does this graph represent a proportional

relationship?

Which pair of ratios

does not form a true proportion?

A) 8:14 and 20:35

B) 6 to10 and 15 to 25

C) 9

5=

27

15

D) 12:15 and 30:50

Which table represents a proportional relationship?

+5

+5

+5

+2

+2

+2

My Work Monday

Tuesday

Wednesday

Thursday

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