Unit 8 solution is attached.Please, let me know if you have any questions.

1.

𝑎𝑎+𝑏𝑏
10

=

79+11
10

90

= 10 = 𝟗𝟗

2. 6(𝑢𝑢 + 8 + 8𝑣𝑣) = 𝟔𝟔𝟔𝟔 + 𝟒𝟒𝟒𝟒 + 𝟒𝟒𝟒𝟒𝟒𝟒
3. |𝑦𝑦| = |45| = 𝟒𝟒𝟒𝟒

4. Perimeter = 11 + 8𝑥𝑥 + 7𝑥𝑥 + 9 + 6𝑥𝑥
= 𝟐𝟐𝟐𝟐 + 𝟐𝟐𝟐𝟐𝟐𝟐

5. 262.05 + 140 − 𝑥𝑥 = −35.08
𝑥𝑥 = 262.05 + 140 + 35.08
𝒙𝒙 = 𝟒𝟒𝟒𝟒𝟒𝟒. 𝟏𝟏𝟏𝟏

6. −8 − 7 + (−6) − 5

= −8 − 7 − 6 − 5 = −𝟐𝟐𝟐𝟐

7.

22 −(−1)7

5∙15−16∙22 −42

=

4−(−1)

75−16×4−16

4+1
5
=
=
= −𝟏𝟏
75 − 64 − 16 −5

8. 4(8𝑞𝑞 − 5) − [3(4𝑞𝑞 − 3) + 4]
= 32𝑞𝑞 − 20 − [12𝑞𝑞 − 9 + 4]
= 32𝑞𝑞 − 20 − [12𝑞𝑞 − 5]
= 32𝑞𝑞 − 20 − 12𝑞𝑞 + 5
= 𝟐𝟐𝟐𝟐𝟐𝟐 − 𝟏𝟏𝟏𝟏
1

1

𝟏𝟏

9. 𝑥𝑥 = − 5 + 10 = − 𝟏𝟏𝟏𝟏
3

10. 5 𝑡𝑡 − 4 = 5

3𝑡𝑡 − 20 = 25
3𝑡𝑡 = 45
𝒕𝒕 =

𝟒𝟒𝟒𝟒
= 𝟏𝟏𝟏𝟏
𝟑𝟑

11. 6(𝑥𝑥 + 8) = 6(8 + 𝑥𝑥)
6𝑥𝑥 + 48 = 48 + 6𝑥𝑥

B: All the numbers are solution:
Identity

1

12. b = 2 gq
13.

𝒈𝒈 =
7.92
33

𝟐𝟐𝟐𝟐
𝒒𝒒

× 100% = 𝟐𝟐𝟐𝟐%

14. 𝑥𝑥 + (𝑥𝑥 + 1) + (𝑥𝑥 + 2) = 126
3𝑥𝑥 + 3 = 126
3𝑥𝑥 = 123
𝑥𝑥 = 41

𝑥𝑥 + 1 = 42,

𝑥𝑥 + 2 = 43

Their ages are 41, 42 and 43.
15. First angle: 2x
Second angle: x
Third angle: 𝑥𝑥 + 72

2𝑥𝑥 + 𝑥𝑥 + (𝑥𝑥 + 72) = 180
4𝑥𝑥 + 72 = 180
4𝑥𝑥 = 108
𝑥𝑥 =

108
= 27
4

First angle: 𝟐𝟐𝟐𝟐 = 𝟐𝟐 × 𝟐𝟐𝟐𝟐 = 𝟓𝟓𝟓𝟓𝟎𝟎
Second angle: 𝒙𝒙 = 𝟐𝟐𝟐𝟐𝟎𝟎

Third angle: 𝒙𝒙 + 𝟕𝟕𝟕𝟕 = 𝟐𝟐𝟐𝟐 + 𝟕𝟕𝟕𝟕 = 𝟗𝟗𝟗𝟗𝟎𝟎

16. 3(𝑟𝑟 − 4) + 1 > 4(𝑟𝑟 + 2) − 17
3𝑟𝑟 − 4 + 1 > 4𝑟𝑟 + 8 − 17
3𝑟𝑟 − 3 > 4𝑟𝑟 − 9

−3 + 9 > 4𝑟𝑟 − 3𝑟𝑟
6 > 𝑟𝑟

𝒓𝒓 < 𝟔𝟔

17. 35 + 0.22𝑚𝑚 ≤ 90
0.22𝑚𝑚 ≤ 90 − 35
0.22𝑚𝑚 ≤ 55

𝒎𝒎 ≤ 𝟐𝟐𝟐𝟐𝟐𝟐 𝒎𝒎𝒎𝒎𝒎𝒎𝒎𝒎𝒎𝒎

D

18. The person weighs less than or equal
to 180 Ibs
19. 𝑦𝑦 + 2𝑥𝑥 = 7

Yes, (1, 5) is a solution

Yes (4, -1) is a solution.
Yes (-1, 9) is a solution.
1

20. 𝑦𝑦 − − 6 𝑥𝑥

The agenc...