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
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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!)