SUMMER MATH REVIEW PACKET
In preparation for 8th Grade Algebra I
(Answers are attached)
Viewpoint School Department of Mathematics asks incoming Middle
School students to complete a summer review packet. By completing
the attached problems, students will continue to practice concepts that
they have already learned and sharpen their basic skills.
Please complete the work on separate paper and number each problem.
We ask that you do not use a calculator for computation and you show
all steps required to solve each problem.
The review packet is due upon your return to school in August.
Your math teacher will collect your packet, along with the attached
work, on the first day of your math class.
We also ask that you continue to practice your multiplication and
division facts up through 144. For practice you may refer to:
http://www.theteacherscafe.com/Worksheets/Math/MultiplicationDivision.htm
If you have any questions, please email: hmeriwether@viewpoint.org
Answers
Practice 1:
1. 33 2. 28 3. 16 4. 31 5. 6 6. 12 7. 4 8. 26 9. 26 10. 64 11. 16 12. 20 13. 0 14. 3 15. 4 16. 52
17. 20-11 18. 25+6 19. 64÷8 20. 12٠7
Practice 2:
1. 14 2. 2 3. 24 4. 51 5. 3 6. 30 7. 0 8. 15 9. h+8 10. 4n+12 11. 60-n 12. 3t
Practice 3:
1. 3 2. -8 3. 4 4. -8 5. -3 6. -22 7. -7 8. -10 9. 0 10. -20 11. -1 12. 12 13. -30 14. 8 15. -21 16. 2
17. -16 18. -17 19. -11 20. -27 21. -4 22. -14 23. -25 24. -22 25. -11 26. -5 27. 14
Practice 4:
1. -7 2. -12 3. -9 4. -8 5. -17 6. -30 7. 11 8. 18 9. -9 10. 3 11. -10 12. 4 13. -18 14. 14 15. -4 16. 30
17. 40 18. 26 19. -32 20. 27 21. -23 22. -19 23. 10 24. 35
Practice 5:
1. 480+6;486 2. 490-28; 462 3. 1200+24; 1224 4. 900+90; 990 5. 2000-450; 1550 6. -5600+24; -5576
7. 80-36; 44 8. -700+21; -679 9. -75+9; -66 10. 294-154; 140 11. -2000-50; -2050 12. 13,950-558; 13,392
13. 7y+77 14. -6t+6 15. -8u+16 16. -4r-36 17. h-5 18. -2f-6 19. -4b+4 20. –v+7 21. -2d+10 22. 22n+220
23. -50z+50 24. -12g-144 25. 17p+68 26. -8k+168 27. 9s+288 28. -28a+140 29. 20a-380 30. 33d+132
31. 18q+90 32. -16c-720 33. -19v+19 34. –r-27 35. 53x+583 36. 17n-17 37. 9(2+3) , 9(2)+9(3); 45 pounds
38. 6(42+29) , 6(42)+6(29); $426
Practice 6:
1. 2, 6a, 4a; 6a, 4a; 6, 4; 2 2. m, 4m, 2m, 5; m, 4m, 2m; 1, 4, 2; 5 3. 3c, 4d, -c, 2; 3c, -c; 3, 4, -1; 2
4. 5h, -3g, 2g, -h; 5h, -h and -3g, 2g; 5, -3, 2, -1; none 5. 3w, 4u, -6; none; 3, 4; -6
6. 4r, -5s, 5s, -2r; 4r, -2r and -5s, 5s; 4, -5, 5, -2; none 7. 12m 8. 4x 9. 13y 10. -2m+4 11. 22a 12. 7y+6
13. 7d+1 14. -2s+7
Practice 7:
1. t=1 2. x=2 3. u=6 4. m=3 5. w=5 6. d=7 7. k=-3 8. a=13 9. c=-4 10. m=-2 11. h=23 12. x=-3
13. m=256 14. p=80 15. g=36 16. n=125 17. m=98 18. k=-72 19. a=-64 20. c=30 21. v=-42 22. x=2
23. a=-4 24. c=5 25. y=12 26. r=1
Practice 8:
1.
3
−5
2.
10
3.
18
1
−3
4.
2
77
5.
40
6. −2 7. −5
3
8. 18 9. 9
5
180
5
10.
5xy 2
7
z2
Practice 9:
1.
1
2. 1
2
1
3. −2
6
2
4. −2
3
2
5.
3
10
6. -4 7.
19
2
8. 1
7
31
9.
80
2x
3
10.
2c
11.
3
2
c
12.
1
3n 2
Practice 10:
1. 1
2
2. 1
3
7
3.
15
1
4.
10
3
5.
5
−3
6.
13
4
3
7.
2
7
4
8.
8
5
1
2
Practice 11:
1. 1
13
45
13. 1
1
24
2.
1
3.
6
14. 8
−5
4. −1
12
2
9
15. 1
1
11
5. 1
1
8
6.
7
15
7.
5
19
20
8.
4
1
2
9.
7
24
10.
7
1
10
11. 10
1
4
12.
16
11
18
13
30
Summer Review – Pre-Algebra
Practice 12:
1. p=2.4 2. a=4.5 3. h=
1
4. v=0.9 5. q=
2
3
6. c= 4
7
9
10
7. m= 8
1
8. d=64
2
Practice 13:
1. x=12 2. w=8 3. u=11 4. s=14 5. a=30 6. w=6 7. m=1.2 8. h=51 9. g=360 10. f=19 11. z=3 12. k=8.4
13. r=2.25 14. d=9 15. q=450 16. d=70 17. c=2.6 18. n=0.9 19. p=2.1 20. y=13.1 21. v=10.45
Practice 14:
1. x=10 2. a=-1 3. y=-5 4. n=11 5. c=2 6. b=1 7. d=1 8. f=-6 9. s=-3 10. a=-3 11. n=1 12. y=-8
13. x=2 14. a=-7 15. b=15 16. c=-2 17. y=-4 18. n=-7
Practice 15:
1. g=6 2. x=2 3. c=3 4. Ø 5. s=4 6. y=1 7. Ø 8. all numbers 9. b=6 10. x=-14
Practice 16:
c < −4
1.
n≤6
4.
Practice 17:
1. (-1,2), (0,4), (1,6), (2,8)
Practice 18:
1. (5,0),(0,-5)
2.
p < −3
3.
c≥2
5.
d < −7
6.
b>-3
2. (-1,-4), (0,-7), (1,-10), (2,-13) 3. (-1,9), (0,5), (1,1), (2,-3)
2. none, (0,1) 3. (4,0), (0,-6)
Practice 19:
1.
−1
4
2. 3 3.
−4
5
4.
−2
5. 3 6. undefined
7
Summer Review – Pre-Algebra
Practice 20:
Summer Review – Pre-Algebra