Name____________________________________

Dear Student,

The material in this packet is designed to help you think about math over the summer and help you

prepare for your course next year. Please do your best to answer the following questions covering

concepts learned over the previous year without any outside help.

Dear Parent,

While we would like the student to complete the first section of the packet (covering concepts learned

over the previous school year) on their own, we encourage you to play the games and activities in the

second part with your children. Additionally, the summer is a great time to practice “real world math”

with them. This could include having your children figure out the tip at a restaurant, shopping discounts,

car mileage, or how much time it will take to drive somewhere.

Have a great summer, and we hope you have a lot of fun with the math activities in your

households. We look forward to hearing about them in the fall.

Thank you,

The Math Department

8th grade Math Packet – Part 1

In order for you to succeed in Algebra, you will need to be proficient with many of the types of

problems you learned last year. We recommend you do the following problems at the end of

the summer to refresh your memory before you begin Algebra in September.

A. Calculate the following:

1) −32 + 5

2) −4 + −6

3) −5 + 7

4) −13 − 6

5) 21 ÷ −7

6) 28 − 36

7) (−4 + 6 − 10) ∙ 3

8) 18

24∙16

15∙25

27

9) 𝑥+3

5=

2

7

10) 4𝑥 − 1 ≥ 15

11) 2

3+

1

4

12) 3

5∙9

10

13) 1

2−

3

8

14) 2

5÷

7

10

15) 22+3−(5+2)

(−6)2

16) 4(5−3)−4

√18−6∙3

B. Simplify the following expressions:

1) 19 + (−30) + 79

2) (−3)(−16) + (−2)(6) − (−12)

3) 4(2𝑥 + 4𝑦) − 3(4𝑦 − 2𝑥)

4) 2𝑥 − 6 + 5𝑥 − 7

5) What is 87.5% of 100?

6) What is 15% of 30?

7) What is 45% of 200?

8) What is 20% of 22?

C. Solve the following equations for x.

1) 𝑥 − 3 = 27

2) 5 = 3𝑥 + 4 + 2𝑥 + 6

3) 3𝑥 − 5 + 𝑥 = 11

4) −19 − 6𝑥 = −43

5) 5(3𝑥 − 7) = 55

6) 2(𝑥 + 4) = 2𝑥 + 8

7) 𝑥2 = 49

8) √𝑥 = 11

D. Place the following points on the graph below:

A = (-2, 5) B = (4, -3) C = (-4, -7) D = (6, 5) E = (-3, 0)

E. More Equation Solving! Solve for x.

1) 5𝑥 − (2𝑥 − 3) = 2(𝑥 − 4)

2) 3(2𝑥 − 4) − 5(3𝑥 − 3) = 7𝑥 − 8 − 9𝑥 − 11

8th grade Math Packet – Part 2

We HIGHLY recommend that you try some of our favorite on-line games. These are an excellent way to

keep your mind active and they are just plain FUN.

1) Interactive Set Game - This page is updated with four new puzzles every day. A 'Set' is

3 cards in which each individual feature (color, number, shape, shading) is either all the

SAME on each card... OR all DIFFERENT on each card.

2) Arithmattack – Try to beat your parents at this one. We bet you’ll win! Choose

random operator and highest number of 10. (Highest student score (calculated by

number right minus number wrong) in the history of GCDS is 105!)

3) Sudoku

The objective of the game is to fill all the blank squares in a game with

the correct numbers. There are three constraints to follow. In a 9x9

square Sudoku game:

- Every row of 9 numbers must include all digits 1 through 9 in any order

- Every column of 9 numbers must include all digits 1 through 9 in any

order

- Every 3x3 subsection of the 9 by 9 square must include all digits 1

through 9.

Try these 2 and if you become addicted (like all of your math teachers are)

click on the link above and play some more.

Level: Easy Level: Medium

4) KenKen –

Try these 2 and if you become addicted (yes – your teachers are also

addicted to this one!) click on the link above and play some more.

Level: Easy Level: Medium

Below are links to some random fun math games/activities.

Your teachers are going to be playing these games with you in the fall so

why not get a head start and become a pro before September. The math

teachers challenge you, so if you think you beat one of our high scores on

Arithmattack or any of the games below, email us and we will beat it. Bring

it on!

Balance Scales 21232 Mr. Spooner’s High Score

Building Blocks 17883 Mr. Fludd’s High Score

Cube Perspective 25493 Mr. Bates’ High Score

Math Man 7834 Mr. Basinet’s High Score

Quick Calculate 53459 Ms. DeBord’s High Score

Arithmetic Game 142 Ms. Carnegie’s High Score

For the Arithmetic Game, your screen should look like:

While there aren’t scores for these games, they are good practice if you need

to work on your math facts.

Integer Practice – you choose the numbers

Integer Jeopardy – like the game on tv

Integer Practice – like arithmattack only with integers