p.160 Extra Credit Answer Key - COPY EQUATIONS & INEQUALITES AND SHOW WORK FOR FULL CREDIT!
1. 7f + 5 = 68
2. 14 - 3g = 32 3. h/3 - 14 = -11
7f =
63
-3g = 18
h/3 = 3
f = 9
g = -6
h = 9
4. z/-2 + 5 = 7
5. 12 - 2m + 5 = -1 6. -6y + 4 + 11y =
-16
z/-2 = 2
-2m + 17 = -1
5y + 4 = -16
z
= -4
-2m = -18
5y = -20
m = 9
y = -4
7. 3(8 - a) = 12
8. -6(3x + 15) = 18 9. 5t + 5 = 5t - 4
24 - 3a = 12
-18x - 90 = 18
5 = -4
-3a = -12
-18x = 108
NO SOLUTION
a = 4
x = -6
10. 2n – 6 =
-8n + 14 11. 8b + 4 = 4(b – 7)
12. 16p + 8 = 2(8p + 4)
10n – 6 =
14
8b + 4 = 4b – 28
16p + 8 = 16p + 8
10n =
20
4b + 4 = -28
8 =
8
n =
2
4b =
-32
All real numbers
b = -8
13. 2(3.50) + 2a + 3(2.50) =
30.50
7.00 + 2a +
7.50 =
30.50
2a + 14.50
= 30.50
2a
= 16.00
a
= 8.00;
$8.00
14. t £ -1.9 ; The graph should have a closed circle on –1.9 and arrow left.
15. x > -200 16. w < 8 17. t ³ 36
18. a
³
1
19. 4(2 – d)
³
-12
20. 2c – 5 < -21 – 2c
8 - 4d
³
-12
4c – 5 < -21
- 4d
³
-20
4c <
-16
d
£
5
c <
-4
21. 5.75
³
5x
1.15
³
x
x
£
1.15; $1.15 or less each
22. 9
³
15 – n
-6
³
-n
6
£
n
n
³
6
23. 8(5 + n) <
56
40 + 8n < 56
8n < 16
n <
2
24. 15 > 3(n –
4)
15 > 3n – 12
27 > 3n
9 > n
n < 9
25. 7n – 5
£
16
7n
£
21
n
£
3
26. 99 + 0.45l
< 2.19l
99
< 1.74l
56.9 <
l
l >
56.9; at least 57
loaves (57 loaves or more)